From dcd81d84f1db9a539f33f50d2c10aba8d2d9f2ff Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Tue, 12 May 2026 10:56:36 -0400 Subject: [PATCH 01/20] checkpointing --- docs/tutorials/.pages | 1 + docs/tutorials/building_multisignal_models.qmd | 2 ++ test/integration/conftest.py | 7 +++++-- ..._population_infections_he_weekly_joint_ascertainment.py | 3 +++ 4 files changed, 11 insertions(+), 2 deletions(-) diff --git a/docs/tutorials/.pages b/docs/tutorials/.pages index fd693b8d..78eeb285 100644 --- a/docs/tutorials/.pages +++ b/docs/tutorials/.pages @@ -8,3 +8,4 @@ nav: - right_truncation.md - day_of_week_effects.md - ascertainment.md + - multisignal_H_E_model.md diff --git a/docs/tutorials/building_multisignal_models.qmd b/docs/tutorials/building_multisignal_models.qmd index 7490b9e4..c39d3381 100644 --- a/docs/tutorials/building_multisignal_models.qmd +++ b/docs/tutorials/building_multisignal_models.qmd @@ -4,6 +4,8 @@ format: gfm: code-fold: true engine: jupyter +execute: + eval: false jupyter: jupytext: text_representation: diff --git a/test/integration/conftest.py b/test/integration/conftest.py index 9d9018cc..f0ad8bfd 100644 --- a/test/integration/conftest.py +++ b/test/integration/conftest.py @@ -28,7 +28,7 @@ from pyrenew.observation import NegativeBinomialNoise, PopulationCounts from pyrenew.randomvariable import DistributionalVariable from pyrenew.time import MMWR_WEEK -from test.test_helpers import fixed_ar1 +from test.test_helpers import fixed_ar1, fixed_differenced_ar1 @pytest.fixture(scope="module") @@ -404,7 +404,10 @@ def he_weekly_joint_ascertainment_model( gen_int_rv=DeterministicPMF("gen_int", gen_int_pmf), I0_rv=DistributionalVariable("I0", dist.Beta(1, 10)), log_rt_time_0_rv=DistributionalVariable("log_rt_time_0", dist.Normal(0.0, 0.5)), - single_rt_process=fixed_ar1(autoreg=0.9, innovation_sd=0.05), + single_rt_process=WeeklyTemporalProcess( + fixed_differenced_ar1(autoreg=0.5, innovation_sd=0.01), + start_dow=MMWR_WEEK, + ), ) builder.add_ascertainment(ascertainment) diff --git a/test/integration/test_population_infections_he_weekly_joint_ascertainment.py b/test/integration/test_population_infections_he_weekly_joint_ascertainment.py index 53b34f91..0c255584 100644 --- a/test/integration/test_population_infections_he_weekly_joint_ascertainment.py +++ b/test/integration/test_population_infections_he_weekly_joint_ascertainment.py @@ -192,6 +192,9 @@ def test_joint_ascertainment_sites_are_sampled_once( assert trace["he_ascertainment_eta"]["value"].shape == (2,) assert trace["he_ascertainment_hospital"]["type"] == "deterministic" assert trace["he_ascertainment_ed_visits"]["type"] == "deterministic" + assert trace["log_rt_single_weekly"]["type"] == "deterministic" + assert trace["log_rt_single_weekly"]["value"].shape[-1] == 1 + assert trace["log_rt_single_weekly"]["value"].shape[0] < n_total assert trace["hospital_predicted"]["value"].shape == (n_periods,) assert trace["hospital_predicted_daily"]["value"].shape == (n_total,) assert trace["ed_visits_predicted"]["value"].shape == (n_total,) From cec9027edc6c6d8ae4e5acc10c48a0aa39c4a42e Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Tue, 12 May 2026 10:57:13 -0400 Subject: [PATCH 02/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 416 +++++++++++++++++++++++ 1 file changed, 416 insertions(+) create mode 100644 docs/tutorials/multisignal_H_E_model.qmd diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd new file mode 100644 index 00000000..fa07eea3 --- /dev/null +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -0,0 +1,416 @@ +--- +title: Weekly Hospital and Daily ED Multi-Signal Model +format: + gfm: + code-fold: true +engine: jupyter +jupyter: + jupytext: + text_representation: + extension: .qmd + format_name: quarto + format_version: "1.0" + jupytext_version: 1.19.1 + kernelspec: + display_name: Python 3 (ipykernel) + language: python + name: python3 +--- + +```{python} +#| label: setup +#| output: false + +from datetime import date +import warnings + +import jax.numpy as jnp +import numpyro +import numpyro.distributions as dist + +warnings.filterwarnings("ignore") + +from pyrenew.ascertainment import JointAscertainment +from pyrenew.datasets import ( + load_example_infection_admission_interval, + load_synthetic_daily_ed_visits, + load_synthetic_true_parameters, + load_synthetic_weekly_hospital_admissions, +) +from pyrenew.deterministic import DeterministicPMF, DeterministicVariable +from pyrenew.latent import DifferencedAR1, PopulationInfections, WeeklyTemporalProcess +from pyrenew.model import PyrenewBuilder +from pyrenew.observation import NegativeBinomialNoise, PopulationCounts +from pyrenew.randomvariable import DistributionalVariable, TransformedVariable +from pyrenew.time import MMWR_WEEK +import pyrenew.transformation as transformation +``` + +This tutorial builds a small hospital + emergency department model using PyRenew's high-level components which approximates a production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https://www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). +The production model is coded directly in NumPyro. +Here we use PyRenew's high-level components and `PyrenewBuilder` class to specify a model with the same core shape: + +- one latent population-level infection process, +- weekly hospital admissions, +- daily ED visits, with a day of the week effect +- a weekly-parameterized reproduction number, +- joint scalar ascertainment for the two clinical signals. + +The renewal equation and delay convolutions run on a daily model axis, while the hospital likelihood is evaluated on weekly totals and the ED likelihood is evaluated on daily counts. + +## Model Structure + +The model has one latent infection process. +Both observations receive the same aggregate infection trajectory, but they map it to data on different reporting grids. + +```mermaid +flowchart TB + + subgraph Latent["Latent Infection Process"] + R["Weekly DifferencedAR1
for log R(t)"] + I["Daily renewal equation
(PopulationInfections)"] + end + + subgraph Shared["Shared Daily Axis"] + D["Daily latent infections"] + end + + subgraph Asc["Ascertainment"] + A["JointAscertainment
scalar IHR and IEDR"] + end + + subgraph Obs["Observation Processes"] + H["Hospital admissions
PopulationCounts
weekly MMWR totals"] + E["ED visits
PopulationCounts
daily counts + day-of-week"] + end + + subgraph Data["Observed Data"] + HD["Weekly hospital data"] + ED["Daily ED data"] + end + + R -->|"broadcast to days"| I + I --> D + D --> H + D --> E + A --> H + A --> E + H -->|"delay + IHR + weekly aggregation + noise"| HD + E -->|"delay + IEDR + day-of-week + noise"| ED +``` + +The components are: + +- **Latent infections**: `PopulationInfections` produces a single aggregate infection trajectory. +- **Rt process**: `WeeklyTemporalProcess(DifferencedAR1(...), start_dow=MMWR_WEEK)` samples weekly values and broadcasts them to the daily renewal equation. +- **Ascertainment**: `JointAscertainment` samples scalar hospital and ED ascertainment rates from one joint prior. +- **Hospital observation**: `PopulationCounts(..., aggregation="weekly", start_dow=MMWR_WEEK)` scores weekly hospital totals. +- **ED observation**: `PopulationCounts(...)` scores daily ED counts and includes a day-of-week effect. + +## Production Extensions and Model Comparison + +The model implemented here uses the same high-level H+E structure as the production model, but omits several production-specific components: We keep these components out of the tutorial model so the example can focus on the mixed daily/weekly observation cadence. + +- **Infection feedback**: the latent infection process includes a state-dependent damping term, so higher infection levels can reduce future transmission. + This can help regularize epidemic trajectories, but it is a substantive modeling assumption. + +- **Inferred delay distributions**: some delay distributions are estimated rather than fixed, allowing the model to learn timing relationships between latent infections and observed signals. + PyRenew's observation API accepts delay distributions as `RandomVariable` objects, so fixed delays can be replaced by inferred PMFs or custom parametric delay models, provided the sampled value is a valid fixed-length PMF. + In this tutorial we keep the delays fixed. + +- **Time-varying ED ascertainment**: the ED visit rate can vary over time, while the hospital ascertainment rate is modeled relative to the ED rate. + In the tutorial model, we use `JointAscertainment` instead. + This relates the hospital and ED ascertainment rates through a joint prior, while keeping both rates scalar over time. + +These alternatives are good candidates for model comparison and sensitivity analysis. +One advantage of specifying the model with `PyrenewBuilder` is that closely related models can be built from the same components while changing only the feature under study: fixed versus inferred delays, scalar versus time-varying ascertainment, or renewal dynamics with versus without feedback. +In practice, each candidate model can be defined as a named Python object, factory function, or separate model specification file. +This makes it easier to compare posterior predictive checks, held-out forecast performance, and the stability of inferred latent infections across model variants. + +## Load Synthetic Inputs + +We use the synthetic H+E data bundled with PyRenew. +The true parameters are used only to keep the tutorial priors on a reasonable scale. + +```{python} +#| label: load-data + +N_DAYS_FIT = 126 +OBS_START_DATE = date(2023, 11, 5) + +true_params = load_synthetic_true_parameters() +weekly_hosp = load_synthetic_weekly_hospital_admissions() +daily_ed = load_synthetic_daily_ed_visits() + +hosp_delay_pmf = jnp.array( + load_example_infection_admission_interval()["probability_mass"].to_numpy() +) +ed_delay_pmf = jnp.array(true_params["ed_visits"]["delay_pmf"]) + +population_size = float(weekly_hosp["pop"][0]) + +print(f"Weekly hospital rows: {len(weekly_hosp)}") +print(f"Daily ED rows: {len(daily_ed)}") +print(f"Population size: {population_size:,.0f}") +``` + +## Latent Infection Process + +The production model uses a weekly process for transmission. +Here we use a weekly differenced AR(1) process for log $\mathcal{R}(t)$. +The differenced process allows persistent upward or downward movement, while the weekly wrapper keeps the parameter cadence coarser than the daily renewal equation. + +```{python} +#| label: latent-components + +gen_int_pmf = jnp.array( + [0.6326975, 0.2327564, 0.0856263, 0.03150015, 0.01158826, 0.00426308, 0.0015683] +) + +gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) +I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) +log_rt_time_0_rv = DistributionalVariable( + "log_rt_time_0", + dist.Normal(0.0, 0.5), +) + +weekly_rt_process = WeeklyTemporalProcess( + DifferencedAR1( + autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.01), + ), + start_dow=MMWR_WEEK, +) +``` + +The weekly process is calendar-aligned. +When fitting or sampling this model, pass `obs_start_date` so PyRenew can compute the day of week for the padded daily model axis. + +## Joint Ascertainment + +Hospital admissions and ED visits are different clinical event streams generated from the same latent infections. +Their ascertainment rates can differ, but it is reasonable to model them as related because both depend on clinical care-seeking and reporting. + +```{python} +#| label: joint-ascertainment + +true_ihr = true_params["hospitalizations"]["ihr"] +true_iedr = true_params["ed_visits"]["iedr"] + +ascertainment = JointAscertainment( + name="he_ascertainment", + signals=("hospital", "ed_visits"), + baseline_rates=jnp.array([true_ihr, true_iedr]), + scale_tril=jnp.array( + [ + [0.7, 0.0], + [0.35, 0.606], + ] + ), +) +``` + +The order of `signals` determines how `baseline_rates` and `scale_tril` are interpreted. +Here the first entry is hospital admissions and the second is ED visits. + +## Observation Processes + +Both signals are count observations, so both use `PopulationCounts`. +The difference is the reporting grid. + +### ED day-of-week effect + +ED visits often have a weekly reporting pattern. +The production H+E model samples seven weekday multipliers from a symmetric Dirichlet prior and repeats them across the ED time series. + +```mermaid +flowchart LR + D["Dirichlet(5,...,5)
7 weekday weights"] --> S["scale by 7
average multiplier = 1"] + S --> T["tile across daily ED axis"] + T --> M["multiply daily ED predictions"] +``` + +PyRenew's `PopulationCounts` exposes this as `day_of_week_rv`. +The concentration value of 5 keeps the prior centered near equal weekday effects while still allowing weekday variation. +Scaling the Dirichlet draw by 7 preserves the average daily scale, so the ED ascertainment rate remains interpretable as an average infection-to-ED-visit ratio. + +### ED right truncation + +Recent ED observations may be incomplete if not all visits have been reported by the data pull date. +PyRenew's `right_truncation_rv` takes a reporting-delay PMF and converts it into the proportion of each recent day's events expected to have been reported. + +```mermaid +flowchart LR + P["Reporting-delay PMF"] --> C["CDF:
proportion reported by lag"] + O["right_truncation_offset"] --> C + C --> R["recent-day reporting fractions"] + R --> M["multiply recent ED predictions"] +``` + +The adjustment is activated at fit time by passing `right_truncation_offset`, the number of days between the last observation and the data pull. +The synthetic data used here are complete, so later calls omit the offset. + +```{python} +#| label: observation-processes + +ed_day_of_week_rv = TransformedVariable( + name="ed_day_of_week_effect", + base_rv=DistributionalVariable( + name="ed_day_of_week_effect_raw", + distribution=dist.Dirichlet(jnp.ones(7) * 5), + ), + transforms=transformation.AffineTransform(loc=0.0, scale=7.0), +) + +ed_reporting_delay_pmf = jnp.array([0.40, 0.30, 0.15, 0.08, 0.04, 0.02, 0.01]) +ed_right_truncation_rv = DeterministicPMF( + "ed_right_truncation_delay", + ed_reporting_delay_pmf, +) + +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ascertainment.for_signal("hospital"), + delay_distribution_rv=DeterministicPMF("hosp_delay", hosp_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) + ), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) + +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), + delay_distribution_rv=DeterministicPMF("ed_delay", ed_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) + ), + day_of_week_rv=ed_day_of_week_rv, + right_truncation_rv=ed_right_truncation_rv, +) +``` + +For hospital admissions, daily predicted admissions are aggregated to MMWR weeks before the likelihood is evaluated. +For ED visits, the likelihood is evaluated on the daily axis and a multiplicative day-of-week effect is applied before sampling counts. +If the most recent ED observations are incomplete, pass `right_truncation_offset` in the `ed_visits` data dictionary: + +```python +ed_visits = { + "obs": ed_observed, + "right_truncation_offset": 0, +} +``` + +## Build the Model + +`PyrenewBuilder` computes the initialization period from the generation interval and both observation delay distributions, then wires the latent and observation components together. + +```{python} +#| label: build-model + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_ascertainment(ascertainment) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model = builder.build() + +print(f"Initialization points: {model.latent.n_initialization_points}") +print(f"Observations: {list(model.observations)}") +print(f"Ascertainment models: {list(model.ascertainment_models)}") +``` + +## Align Observed Data + +Daily observations are padded with `NaN` for the initialization period. +Weekly observations live on the weekly period grid, so they need a dense weekly array with leading `NaN` values for unobserved pre-data periods. + +```{python} +#| label: align-data + +def build_hospital_obs_on_period_grid(model, weekly_values, n_days_fit, obs_start_date): + hospital = model.observations["hospital"] + first_day_dow = model._resolve_first_day_dow(obs_start_date) + n_init = model.latent.n_initialization_points + n_total = n_init + n_days_fit + offset = hospital._compute_period_offset(first_day_dow, hospital.start_dow) + n_periods = (n_total - offset) // hospital.aggregation_period + n_pre = n_periods - len(weekly_values) + return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) + + +hospital_observed = build_hospital_obs_on_period_grid( + model, + jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), + N_DAYS_FIT, + OBS_START_DATE, +) + +ed_observed = model.pad_observations( + jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) +) + +print(f"Hospital observation array shape: {hospital_observed.shape}") +print(f"ED observation array shape: {ed_observed.shape}") +``` + +## Inspect the Model Graph + +Before running MCMC, it is useful to inspect one model trace. +This confirms that the latent process is weekly-parameterized while predictions still live on the daily axis where needed. + +```{python} +#| label: trace-model + +with numpyro.handlers.seed(rng_seed=0): + with numpyro.handlers.trace() as trace: + model.sample( + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, + ) + +for site in [ + "log_rt_single_weekly", + "PopulationInfections::log_rt_single", + "he_ascertainment_eta", + "hospital_predicted_daily", + "hospital_predicted", + "ed_visits_predicted", +]: + value = trace[site]["value"] + print(f"{site}: {value.shape}") +``` + +The expected pattern is: + +- `log_rt_single_weekly` is shorter than the daily model axis. +- `PopulationInfections::log_rt_single` is daily, because the renewal equation runs daily. +- `hospital_predicted_daily` is daily before aggregation. +- `hospital_predicted` is weekly, matching the hospital data. +- `ed_visits_predicted` is daily, matching the ED data. + +## What This Leaves Out + +This tutorial uses high-level PyRenew components to specify a vanilla H+E model. +Several production features are intentionally omitted: + +- infection feedback, +- time-varying ED ascertainment, +- IHR derived as a ratio relative to IEDR, +- inferred hospital delay distributions, +- production nowcasting inputs upstream of the PyRenew model. + +Those features require additional model components or stronger assumptions. +The model here is meant to show the core high-level PyRenew interface for mixed-cadence hospital and ED signals. From e310f2fe8265a02e81f6b1163a6c141f81aa9073 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Wed, 13 May 2026 14:51:04 -0400 Subject: [PATCH 03/20] checkpointing tutorials --- docs/tutorials/ascertainment.qmd | 12 +- docs/tutorials/multisignal_H_E_model.qmd | 392 +++++++++++++++++------ 2 files changed, 296 insertions(+), 108 deletions(-) diff --git a/docs/tutorials/ascertainment.qmd b/docs/tutorials/ascertainment.qmd index f9abaa74..ba662e96 100644 --- a/docs/tutorials/ascertainment.qmd +++ b/docs/tutorials/ascertainment.qmd @@ -99,8 +99,16 @@ independent_iedr = dist.Beta(2, 98).sample(key_iedr, (n_draws,)) ## Model-level ascertainment -To share ascertainment structure across count signals, define an ascertainment model once and register it with the builder. -Each observation process receives the appropriate signal-specific accessor from `for_signal()`. +To share ascertainment structure across count signals, define an `AscertainmentModel` object and register it with the builder. +Each observation process receives the appropriate signal-specific accessor via the object's `for_signal()` method. + +All all `AscertainmentModel` objects are specified with arguments `name` which identified this component +in larger multisignal model and `signals` which is a list of unique signal names. + +The `JointAscertainment` model is the joint prior for scalar ascertainment rates across multiple signals. +It samples from a logit multivariate normal vector given natural-scale baseline ascertainment rates +and a covariance structure on the logit scale which can be specified either as a lower-triangular scale matrix, +a covariance matrix, or a precision matrix. ```python builder = PyrenewBuilder() diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index fa07eea3..e135193f 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -52,9 +52,9 @@ Here we use PyRenew's high-level components and `PyrenewBuilder` class to specif - one latent population-level infection process, - weekly hospital admissions, -- daily ED visits, with a day of the week effect - a weekly-parameterized reproduction number, - joint scalar ascertainment for the two clinical signals. +- daily ED visits, with a day of the week effect The renewal equation and delay convolutions run on a daily model axis, while the hospital likelihood is evaluated on weekly totals and the ED likelihood is evaluated on daily counts. @@ -102,14 +102,60 @@ flowchart TB The components are: - **Latent infections**: `PopulationInfections` produces a single aggregate infection trajectory. -- **Rt process**: `WeeklyTemporalProcess(DifferencedAR1(...), start_dow=MMWR_WEEK)` samples weekly values and broadcasts them to the daily renewal equation. +- **$\mathcal{R}(t)$ process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. - **Ascertainment**: `JointAscertainment` samples scalar hospital and ED ascertainment rates from one joint prior. -- **Hospital observation**: `PopulationCounts(..., aggregation="weekly", start_dow=MMWR_WEEK)` scores weekly hospital totals. -- **ED observation**: `PopulationCounts(...)` scores daily ED counts and includes a day-of-week effect. +- **Hospital observation**: `PopulationCounts` scores weekly hospital totals. +- **ED observation**: `PopulationCounts` scores daily ED counts and includes a day-of-week effect. + +### Temporal Cadence and Aggregation + +This model has two different temporal questions: + +1. How often should latent transmission parameters vary? +2. On what time grid is each observation likelihood evaluated? + +PyRenew treats these as separate modeling choices. + +The renewal equation always runs on the shared daily model axis. +The latent process therefore produces daily infections, even when the temporal process for $\mathcal{R}(t)$ is parameterized more coarsely. +If `single_rt_process` is a daily process, PyRenew estimates a daily $\mathcal{R}(t)$ trajectory. +If it is wrapped in `WeeklyTemporalProcess`, PyRenew estimates weekly $\mathcal{R}(t)$ values and broadcasts them to the daily axis before computing infections. + +Observation aggregation happens later, inside each count observation process. +For weekly hospital admissions, `PopulationCounts(..., aggregation="weekly", start_dow=MMWR_WEEK)` first computes daily predicted admissions from daily infections using ascertainment and the delay distribution. +It then sums those daily predictions to the weekly grid, so the negative-binomial observation model is evaluated against weekly observed admissions rather than daily counts. +For daily ED visits, no aggregation is applied. Each observed daily count is modeled with a negative-binomial distribution whose mean is the corresponding daily prediction. + +The end-to-end flow for the weekly hospital signal is: + +1. Sample or construct daily $\mathcal{R}(t)$, possibly by broadcasting weekly values. +2. Run the daily renewal equation to produce daily infections. +3. Convert daily infections to daily predicted hospital admissions using hospital delay and joint ascertainment component's `for_signal("hospital")`. +4. Sum daily predicted admissions to MMWR weeks. +5. Evaluate the negative-binomoial observation model on the weekly hospital observations. + +The daily ED signal shares steps 1--3, but remains on the daily grid for the likelihood. -## Production Extensions and Model Comparison +1. Sample or construct daily $\mathcal{R}(t)$, possibly by broadcasting weekly values. +2. Run the daily renewal equation to produce daily infections. +3. Convert daily infections to daily predicted ED visits using delay and joint ascertainment component's `for_signal("ed_visits")`. +4. Evaluate the negative-binomoial observation model on the daily ED visits. -The model implemented here uses the same high-level H+E structure as the production model, but omits several production-specific components: We keep these components out of the tutorial model so the example can focus on the mixed daily/weekly observation cadence. +This separation means that mixed-cadence models are natural: weekly hospital admissions and daily ED visits can share the same latent daily infection trajectory, regardless of whether $\mathcal{R}(t)$ is parameterized daily, weekly, or with another stepwise cadence. + +The cadence of the temporal process affects both model flexibility and computational cost. +A daily $\mathcal{R}(t)$ process estimates one latent $\mathcal{R}(t)$ state per day, +while a `WeeklyTemporalProcess` estimates one latent $\mathcal{R}(t)$ state per week and broadcasts the weekly trajectory to the daily renewal equation. +The daily infections and expected observations are still computed on the daily axis, but they are deterministic functions of the sampled parameters. + +A coarser $\mathcal{R}(t)$ cadence reduces the number of latent dimensions sampled by HMC/NUTS. +It also regularizes the latent process: the model cannot use day-to-day changes in $\mathcal{R}(t)$ to explain short-term noise or reporting artifacts. +This can improve sampling and forecast stability when the data do not support daily transmission changes, but it is a modeling assumption rather than a universal improvement. + +### Production Extensions + +The model implemented here uses the same high-level H+E structure as the production model, but omits several production-specific components. +We keep these components out of the tutorial model so the example can focus on the mixed daily/weekly observation cadence. - **Infection feedback**: the latent infection process includes a state-dependent damping term, so higher infection levels can reduce future transmission. This can help regularize epidemic trajectories, but it is a substantive modeling assumption. @@ -127,10 +173,178 @@ One advantage of specifying the model with `PyrenewBuilder` is that closely rela In practice, each candidate model can be defined as a named Python object, factory function, or separate model specification file. This makes it easier to compare posterior predictive checks, held-out forecast performance, and the stability of inferred latent infections across model variants. -## Load Synthetic Inputs +## Specifying Model Components for `PyrenewBuilder` + +The `PyrenewBuilder` class assembles the model components. +It checks component compatibility and coherence, computes initialization requirements, and produces a model ready for inference. + +### Latent Infection Process + +The `PyrenewBuilder` object's `configure_latent` method handles configuration of the latent process. +It requires the following: + +- **Generation interval**: PMF for secondary infection timing. +- **Initial conditions ($I(0)$ and $\log(\mathcal{R}(0))$)**: Infection prevalence at time $0$ as a proportion of the population, and the starting point of the $\log(\mathcal{R}(t))$ trajectory. +- **Temporal dynamics**: How $\mathcal{R}(t)$ evolves over time. + +We use the same seven-day generation interval PMF used to generate the synthetic data; this PMF also matches the default/test-data parameterization used in the H+E pipeline. +For the initial infection level and initial $\mathcal{R}(t)$ value, we specify priors rather than fixing them to the true synthetic-data values. + +Following the production model, we use a weekly differenced AR(1) process for log $\mathcal{R}(t)$ temporal dynamics. +The differenced process allows persistent upward or downward movement. +The weekly wrapper estimates one latent $\mathcal{R}(t)$ state per week and broadcasts the weekly trajectory to the daily renewal equation. + +```python +weekly_rt_process = WeeklyTemporalProcess( + DifferencedAR1( + autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.01), + ), + start_dow=MMWR_WEEK, +) +``` + +`WeeklyTemporalProcess` uses calendar weeks, not arbitrary 7-day blocks starting at index 0. +The `start_dow=MMWR_WEEK` argument says that each $\mathcal{R}(t)$ value applies to an MMWR week, which runs Sunday through Saturday. + +At model runtime, `obs_start_date` is used to align the weekly $\mathcal{R}(t)$ blocks with the daily model axis. +The same calendar anchor is used when daily predicted hospital admissions are aggregated to MMWR weeks. + + +### Ascertainment + +`JointAscertainment` defines one shared ascertainment component for the hospital and ED signals. +The component has a `name`, used to identify it in the multisignal model, and a tuple of signal names supplied through `signals`. + +For each signal, the model samples a scalar ascertainment rate. +The rates are modeled jointly: `baseline_rates` gives their prior centers on the probability scale, while `covariance_matrix` describes uncertainty and dependence on the logit scale. +The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. + +Here the prior centers are 0.005 for the hospital infection-hospitalization ratio and 0.0075 for the ED infection-to-ED-visit ratio. +We choose a logit-scale standard deviation of 0.7 for both rates and a prior correlation of 0.5. +This says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. + +```python +ascertainment_sd = 0.7 +ascertainment_corr = 0.5 +ascertainment_cov = jnp.array( + [ + [ascertainment_sd**2, ascertainment_corr * ascertainment_sd**2], + [ascertainment_corr * ascertainment_sd**2, ascertainment_sd**2], + ] +) + +ascertainment = JointAscertainment( + name="he_ascertainment", + signals=("hospital", "ed_visits"), + baseline_rates=jnp.array([0.005, 0.0075]), + covariance_matrix=ascertainment_cov, +) +``` +The order of `signals` determines how `baseline_rates` and the rows and columns of `covariance_matrix` are interpreted. +Observation processes do not access those values by row or column index. +Instead, the ascertainment object provides signal-specific accessors: `ascertainment.for_signal("hospital")` returns the hospital ascertainment rate, and `ascertainment.for_signal("ed_visits")` returns the ED ascertainment rate. + +### Observation Processes + +Both hospital admissions and ED visits are count observations, so both components are specified as `PopulationCount` objects. +They share the same daily latent infection trajectory, but the observation model is evaluated at different reporting cadences: +weekly totals for hospital admissions and daily counts for ED visits. + +To define a `PopulationCount` object, you must specify its + +- **Ascertainment rate**: the probability that an infection results in an observed event +- **Delay distribution**: the distribution of times from infection to the corresponding event +- **Noise model**: the count distribution used to model variation around the expected number of event. + +In addition, count data observation processes have optional parameters for: + +- **Day-of-week effects**: recurring multiplicative adjustments for systematic differences among days of the week. +- **Right truncation**: adjustment for recent observations that may be incomplete because not all reports have arrived. + +#### ED Visits + +For ED visits, we include a day-of-week effect. + +ED visits often have systematic day-of-week patterns. +Day-to-day volumes may differ because of care-seeking behavior, clinic availability, staffing, coding, or reporting workflows. +Those patterns are part of the observation process, not necessarily evidence that infections changed from one day to the next. + +The ED observation model includes $7$ multiplicative effects, one for each day of the week. +The day-of-week effect multiplies the expected daily ED visits before the count observation model is applied. +Each day of the week has its own multiplier: a value above 1 increases expected ED visits on that day, and a value below 1 decreases them. + +Following the production H+E model, we place a symmetric Dirichlet prior with concentration value $5$ on these weights and scale the draw by $7$. +Because the prior is symmetric, it does not assume in advance which days have higher or lower ED volume. +It centers the multipliers near equal day-of-week effects while still allowing per-day variation. + +```python +ed_day_of_week_rv = TransformedVariable( + name="ed_day_of_week_effect", + base_rv=DistributionalVariable( + name="ed_day_of_week_effect_raw", + distribution=dist.Dirichlet(jnp.ones(7) * 5), + ), + transforms=transformation.AffineTransform(loc=0.0, scale=7.0), +) +``` + +This is passed to `PopulationCounts` constructor as `day_of_week_rv`. + +In this tutorial, `ascertainment.for_signal("ed_visits")` connects the ED observation process to the ED component of the joint ascertainment model. +The delay PMF matches the synthetic data-generating process, and the observation model uses negative-binomial noise. + + +```python +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), + delay_distribution_rv=DeterministicPMF("ed_delay", ed_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) + ), + day_of_week_rv=ed_day_of_week_rv, +) +``` + +Count observation processes also support an optional `right_truncation_rv` for incomplete recent reports. +The synthetic ED data used here are complete, so the tutorial model omits right truncation. +The production H+E model applies a right-truncation adjustment to recent ED observations when reports are incomplete; +the reporting-delay PMF is supplied as an external input rather than inferred by the model. + + +#### Hospital Admissions -We use the synthetic H+E data bundled with PyRenew. -The true parameters are used only to keep the tutorial priors on a reasonable scale. +Hospital admissions are also modeled with `PopulationCounts`. +The hospital signal uses the hospital component of the joint ascertainment model, a fixed infection-to-hospital-admission delay PMF, and negative-binomial observation noise. + +The hospital data are reported as weekly MMWR totals. +PyRenew still computes daily predicted hospital admissions from the shared daily infection trajectory, delay distribution, and ascertainment rate. +The argument `aggregation="weekly"` then sums those daily predictions before comparing them with the observed weekly totals. +The argument `start_dow=MMWR_WEEK` aligns the aggregation to MMWR weeks, and `reporting_schedule="regular"` indicates that the data are supplied as one value per week. + +```python +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ascertainment.for_signal("hospital"), + delay_distribution_rv=DeterministicPMF("hosp_delay", hosp_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) + ), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) +``` + +The hospital and ED observation processes therefore share the same latent infections, +but differ in reporting cadence and signal-specific observation details. + +### Full model specification via `PyrenewBuilder` + +The full specification of the model requires defining all model `RandomVariable` objects passed in to all components. +In this example we use the synthetic H+E data bundled with PyRenew, which includes the parameters used to generate the data, +including the generation interval pmf and hospitalization and ED visits delay pmfs and ascertainment rates. ```{python} #| label: load-data @@ -154,13 +368,10 @@ print(f"Daily ED rows: {len(daily_ed)}") print(f"Population size: {population_size:,.0f}") ``` -## Latent Infection Process - -The production model uses a weekly process for transmission. -Here we use a weekly differenced AR(1) process for log $\mathcal{R}(t)$. -The differenced process allows persistent upward or downward movement, while the weekly wrapper keeps the parameter cadence coarser than the daily renewal equation. +First we specify the latent components ```{python} +#| code-fold: false #| label: latent-components gen_int_pmf = jnp.array( @@ -183,91 +394,39 @@ weekly_rt_process = WeeklyTemporalProcess( ) ``` -The weekly process is calendar-aligned. -When fitting or sampling this model, pass `obs_start_date` so PyRenew can compute the day of week for the padded daily model axis. - -## Joint Ascertainment +Next we specify the joint ascertainment -Hospital admissions and ED visits are different clinical event streams generated from the same latent infections. -Their ascertainment rates can differ, but it is reasonable to model them as related because both depend on clinical care-seeking and reporting. ```{python} +#| code-fold: false #| label: joint-ascertainment true_ihr = true_params["hospitalizations"]["ihr"] true_iedr = true_params["ed_visits"]["iedr"] +ascertainment_sd = 0.7 +ascertainment_corr = 0.5 +ascertainment_cov = jnp.array( + [ + [ascertainment_sd**2, ascertainment_corr * ascertainment_sd**2], + [ascertainment_corr * ascertainment_sd**2, ascertainment_sd**2], + ] +) + ascertainment = JointAscertainment( name="he_ascertainment", signals=("hospital", "ed_visits"), baseline_rates=jnp.array([true_ihr, true_iedr]), - scale_tril=jnp.array( - [ - [0.7, 0.0], - [0.35, 0.606], - ] - ), + covariance_matrix=ascertainment_cov, ) ``` -The order of `signals` determines how `baseline_rates` and `scale_tril` are interpreted. -Here the first entry is hospital admissions and the second is ED visits. - -## Observation Processes - -Both signals are count observations, so both use `PopulationCounts`. -The difference is the reporting grid. - -### ED day-of-week effect - -ED visits often have a weekly reporting pattern. -The production H+E model samples seven weekday multipliers from a symmetric Dirichlet prior and repeats them across the ED time series. - -```mermaid -flowchart LR - D["Dirichlet(5,...,5)
7 weekday weights"] --> S["scale by 7
average multiplier = 1"] - S --> T["tile across daily ED axis"] - T --> M["multiply daily ED predictions"] -``` - -PyRenew's `PopulationCounts` exposes this as `day_of_week_rv`. -The concentration value of 5 keeps the prior centered near equal weekday effects while still allowing weekday variation. -Scaling the Dirichlet draw by 7 preserves the average daily scale, so the ED ascertainment rate remains interpretable as an average infection-to-ED-visit ratio. - -### ED right truncation - -Recent ED observations may be incomplete if not all visits have been reported by the data pull date. -PyRenew's `right_truncation_rv` takes a reporting-delay PMF and converts it into the proportion of each recent day's events expected to have been reported. - -```mermaid -flowchart LR - P["Reporting-delay PMF"] --> C["CDF:
proportion reported by lag"] - O["right_truncation_offset"] --> C - C --> R["recent-day reporting fractions"] - R --> M["multiply recent ED predictions"] -``` - -The adjustment is activated at fit time by passing `right_truncation_offset`, the number of days between the last observation and the data pull. -The synthetic data used here are complete, so later calls omit the offset. +Next we specify the hospital and ED visit observation processes ```{python} +#| code-fold: false #| label: observation-processes -ed_day_of_week_rv = TransformedVariable( - name="ed_day_of_week_effect", - base_rv=DistributionalVariable( - name="ed_day_of_week_effect_raw", - distribution=dist.Dirichlet(jnp.ones(7) * 5), - ), - transforms=transformation.AffineTransform(loc=0.0, scale=7.0), -) - -ed_reporting_delay_pmf = jnp.array([0.40, 0.30, 0.15, 0.08, 0.04, 0.02, 0.01]) -ed_right_truncation_rv = DeterministicPMF( - "ed_right_truncation_delay", - ed_reporting_delay_pmf, -) - hospital_obs = PopulationCounts( name="hospital", ascertainment_rate_rv=ascertainment.for_signal("hospital"), @@ -280,6 +439,15 @@ hospital_obs = PopulationCounts( start_dow=MMWR_WEEK, ) +ed_day_of_week_rv = TransformedVariable( + name="ed_day_of_week_effect", + base_rv=DistributionalVariable( + name="ed_day_of_week_effect_raw", + distribution=dist.Dirichlet(jnp.ones(7) * 5), + ), + transforms=transformation.AffineTransform(loc=0.0, scale=7.0), +) + ed_obs = PopulationCounts( name="ed_visits", ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), @@ -288,26 +456,13 @@ ed_obs = PopulationCounts( DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) ), day_of_week_rv=ed_day_of_week_rv, - right_truncation_rv=ed_right_truncation_rv, ) ``` -For hospital admissions, daily predicted admissions are aggregated to MMWR weeks before the likelihood is evaluated. -For ED visits, the likelihood is evaluated on the daily axis and a multiplicative day-of-week effect is applied before sampling counts. -If the most recent ED observations are incomplete, pass `right_truncation_offset` in the `ed_visits` data dictionary: - -```python -ed_visits = { - "obs": ed_observed, - "right_truncation_offset": 0, -} -``` - -## Build the Model - -`PyrenewBuilder` computes the initialization period from the generation interval and both observation delay distributions, then wires the latent and observation components together. +Finally we instantiate a `PyrenewBuilder object`. ```{python} +#| code-fold: false #| label: build-model builder = PyrenewBuilder() @@ -323,19 +478,50 @@ builder.add_observation(hospital_obs) builder.add_observation(ed_obs) model = builder.build() +``` + +The `PyrenewBuilder` computes the initialization period from the generation interval and both observation delay distributions. + +```{python} +#| code-fold: false +#| label: inspect-model print(f"Initialization points: {model.latent.n_initialization_points}") print(f"Observations: {list(model.observations)}") print(f"Ascertainment models: {list(model.ascertainment_models)}") ``` -## Align Observed Data +## Fit the Model + +After the model is built, we prepare the observed data for `model.run()`. +Each observation process receives a data dictionary whose keyword matches +the name registered with the builder: `hospital={...}` and `ed_visits={...}`. + +The model includes an initialization period before the first observed day. +During that period, PyRenew computes latent infections and predicted observations, +but there are no data to condition on. +We mark those unobserved positions with `NaN`. -Daily observations are padded with `NaN` for the initialization period. -Weekly observations live on the weekly period grid, so they need a dense weekly array with leading `NaN` values for unobserved pre-data periods. +For daily ED visits, alignment is simple: `model.pad_observations()` prepends the required number of daily `NaN` values. ```{python} -#| label: align-data +#| code-fold: false +#| label: align-ed-data + +ed_observed = model.pad_observations( + jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) +) +print(f"ED observation array shape: {ed_observed.shape}") +``` + +For weekly hospital admissions, the CSV contains only observed weekly totals. +Because the hospital observation process aggregates daily predictions to MMWR weeks, +we construct the corresponding weekly observation array and prepend `NaN` values for any pre-observation weeks. + + +```{python} +#| code-fold: false +#| label: align-hosp-data def build_hospital_obs_on_period_grid(model, weekly_values, n_days_fit, obs_start_date): hospital = model.observations["hospital"] @@ -347,22 +533,16 @@ def build_hospital_obs_on_period_grid(model, weekly_values, n_days_fit, obs_star n_pre = n_periods - len(weekly_values) return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) - hospital_observed = build_hospital_obs_on_period_grid( model, jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), N_DAYS_FIT, OBS_START_DATE, ) - -ed_observed = model.pad_observations( - jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) -) - print(f"Hospital observation array shape: {hospital_observed.shape}") -print(f"ED observation array shape: {ed_observed.shape}") ``` + ## Inspect the Model Graph Before running MCMC, it is useful to inspect one model trace. From 2ce9d95d28d437f61c0b5dff8519af10a2d72f17 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Wed, 13 May 2026 14:51:32 -0400 Subject: [PATCH 04/20] checkpointing tutorials --- docs/tutorials/ascertainment.qmd | 9 ++---- docs/tutorials/multisignal_H_E_model.qmd | 36 ++++++++---------------- 2 files changed, 15 insertions(+), 30 deletions(-) diff --git a/docs/tutorials/ascertainment.qmd b/docs/tutorials/ascertainment.qmd index ba662e96..62aea650 100644 --- a/docs/tutorials/ascertainment.qmd +++ b/docs/tutorials/ascertainment.qmd @@ -102,13 +102,10 @@ independent_iedr = dist.Beta(2, 98).sample(key_iedr, (n_draws,)) To share ascertainment structure across count signals, define an `AscertainmentModel` object and register it with the builder. Each observation process receives the appropriate signal-specific accessor via the object's `for_signal()` method. -All all `AscertainmentModel` objects are specified with arguments `name` which identified this component -in larger multisignal model and `signals` which is a list of unique signal names. +All all `AscertainmentModel` objects are specified with arguments `name` which identified this component in larger multisignal model and `signals` which is a list of unique signal names. -The `JointAscertainment` model is the joint prior for scalar ascertainment rates across multiple signals. -It samples from a logit multivariate normal vector given natural-scale baseline ascertainment rates -and a covariance structure on the logit scale which can be specified either as a lower-triangular scale matrix, -a covariance matrix, or a precision matrix. +The `JointAscertainment` model is the joint prior for scalar ascertainment rates across multiple signals. +It samples from a logit multivariate normal vector given natural-scale baseline ascertainment rates and a covariance structure on the logit scale which can be specified either as a lower-triangular scale matrix, a covariance matrix, or a precision matrix. ```python builder = PyrenewBuilder() diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index e135193f..cfcc7856 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -102,7 +102,7 @@ flowchart TB The components are: - **Latent infections**: `PopulationInfections` produces a single aggregate infection trajectory. -- **$\mathcal{R}(t)$ process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. +- **$\mathcal{R}(t)$process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. - **Ascertainment**: `JointAscertainment` samples scalar hospital and ED ascertainment rates from one joint prior. - **Hospital observation**: `PopulationCounts` scores weekly hospital totals. - **ED observation**: `PopulationCounts` scores daily ED counts and includes a day-of-week effect. @@ -124,7 +124,8 @@ If it is wrapped in `WeeklyTemporalProcess`, PyRenew estimates weekly $\mathcal{ Observation aggregation happens later, inside each count observation process. For weekly hospital admissions, `PopulationCounts(..., aggregation="weekly", start_dow=MMWR_WEEK)` first computes daily predicted admissions from daily infections using ascertainment and the delay distribution. It then sums those daily predictions to the weekly grid, so the negative-binomial observation model is evaluated against weekly observed admissions rather than daily counts. -For daily ED visits, no aggregation is applied. Each observed daily count is modeled with a negative-binomial distribution whose mean is the corresponding daily prediction. +For daily ED visits, no aggregation is applied. +Each observed daily count is modeled with a negative-binomial distribution whose mean is the corresponding daily prediction. The end-to-end flow for the weekly hospital signal is: @@ -144,8 +145,7 @@ The daily ED signal shares steps 1--3, but remains on the daily grid for the lik This separation means that mixed-cadence models are natural: weekly hospital admissions and daily ED visits can share the same latent daily infection trajectory, regardless of whether $\mathcal{R}(t)$ is parameterized daily, weekly, or with another stepwise cadence. The cadence of the temporal process affects both model flexibility and computational cost. -A daily $\mathcal{R}(t)$ process estimates one latent $\mathcal{R}(t)$ state per day, -while a `WeeklyTemporalProcess` estimates one latent $\mathcal{R}(t)$ state per week and broadcasts the weekly trajectory to the daily renewal equation. +A daily $\mathcal{R}(t)$ process estimates one latent $\mathcal{R}(t)$ state per day, while a `WeeklyTemporalProcess` estimates one latent $\mathcal{R}(t)$ state per week and broadcasts the weekly trajectory to the daily renewal equation. The daily infections and expected observations are still computed on the daily axis, but they are deterministic functions of the sampled parameters. A coarser $\mathcal{R}(t)$ cadence reduces the number of latent dimensions sampled by HMC/NUTS. @@ -210,7 +210,6 @@ The `start_dow=MMWR_WEEK` argument says that each $\mathcal{R}(t)$ value applies At model runtime, `obs_start_date` is used to align the weekly $\mathcal{R}(t)$ blocks with the daily model axis. The same calendar anchor is used when daily predicted hospital admissions are aggregated to MMWR weeks. - ### Ascertainment `JointAscertainment` defines one shared ascertainment component for the hospital and ED signals. @@ -248,8 +247,7 @@ Instead, the ascertainment object provides signal-specific accessors: `ascertain ### Observation Processes Both hospital admissions and ED visits are count observations, so both components are specified as `PopulationCount` objects. -They share the same daily latent infection trajectory, but the observation model is evaluated at different reporting cadences: -weekly totals for hospital admissions and daily counts for ED visits. +They share the same daily latent infection trajectory, but the observation model is evaluated at different reporting cadences: weekly totals for hospital admissions and daily counts for ED visits. To define a `PopulationCount` object, you must specify its @@ -294,7 +292,6 @@ This is passed to `PopulationCounts` constructor as `day_of_week_rv`. In this tutorial, `ascertainment.for_signal("ed_visits")` connects the ED observation process to the ED component of the joint ascertainment model. The delay PMF matches the synthetic data-generating process, and the observation model uses negative-binomial noise. - ```python ed_obs = PopulationCounts( name="ed_visits", @@ -309,9 +306,7 @@ ed_obs = PopulationCounts( Count observation processes also support an optional `right_truncation_rv` for incomplete recent reports. The synthetic ED data used here are complete, so the tutorial model omits right truncation. -The production H+E model applies a right-truncation adjustment to recent ED observations when reports are incomplete; -the reporting-delay PMF is supplied as an external input rather than inferred by the model. - +The production H+E model applies a right-truncation adjustment to recent ED observations when reports are incomplete; the reporting-delay PMF is supplied as an external input rather than inferred by the model. #### Hospital Admissions @@ -337,14 +332,12 @@ hospital_obs = PopulationCounts( ) ``` -The hospital and ED observation processes therefore share the same latent infections, -but differ in reporting cadence and signal-specific observation details. +The hospital and ED observation processes therefore share the same latent infections, but differ in reporting cadence and signal-specific observation details. ### Full model specification via `PyrenewBuilder` The full specification of the model requires defining all model `RandomVariable` objects passed in to all components. -In this example we use the synthetic H+E data bundled with PyRenew, which includes the parameters used to generate the data, -including the generation interval pmf and hospitalization and ED visits delay pmfs and ascertainment rates. +In this example we use the synthetic H+E data bundled with PyRenew, which includes the parameters used to generate the data, including the generation interval pmf and hospitalization and ED visits delay pmfs and ascertainment rates. ```{python} #| label: load-data @@ -396,7 +389,6 @@ weekly_rt_process = WeeklyTemporalProcess( Next we specify the joint ascertainment - ```{python} #| code-fold: false #| label: joint-ascertainment @@ -494,12 +486,10 @@ print(f"Ascertainment models: {list(model.ascertainment_models)}") ## Fit the Model After the model is built, we prepare the observed data for `model.run()`. -Each observation process receives a data dictionary whose keyword matches -the name registered with the builder: `hospital={...}` and `ed_visits={...}`. +Each observation process receives a data dictionary whose keyword matches the name registered with the builder: `hospital={...}` and `ed_visits={...}`. The model includes an initialization period before the first observed day. -During that period, PyRenew computes latent infections and predicted observations, -but there are no data to condition on. +During that period, PyRenew computes latent infections and predicted observations, but there are no data to condition on. We mark those unobserved positions with `NaN`. For daily ED visits, alignment is simple: `model.pad_observations()` prepends the required number of daily `NaN` values. @@ -515,9 +505,7 @@ print(f"ED observation array shape: {ed_observed.shape}") ``` For weekly hospital admissions, the CSV contains only observed weekly totals. -Because the hospital observation process aggregates daily predictions to MMWR weeks, -we construct the corresponding weekly observation array and prepend `NaN` values for any pre-observation weeks. - +Because the hospital observation process aggregates daily predictions to MMWR weeks, we construct the corresponding weekly observation array and prepend `NaN` values for any pre-observation weeks. ```{python} #| code-fold: false @@ -533,6 +521,7 @@ def build_hospital_obs_on_period_grid(model, weekly_values, n_days_fit, obs_star n_pre = n_periods - len(weekly_values) return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) + hospital_observed = build_hospital_obs_on_period_grid( model, jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), @@ -542,7 +531,6 @@ hospital_observed = build_hospital_obs_on_period_grid( print(f"Hospital observation array shape: {hospital_observed.shape}") ``` - ## Inspect the Model Graph Before running MCMC, it is useful to inspect one model trace. From 72a6b4ac64e06ba887b619d8edec281321bf9eb2 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Wed, 13 May 2026 16:26:27 -0400 Subject: [PATCH 05/20] adding testing/export bridge for pyrenew-hew's data pipeline --- pyrenew/datasets/__init__.py | 2 + pyrenew/datasets/synthetic_hew_export.py | 321 ++++++++++++++++++ pyrenew/model/multisignal_model.py | 94 +++++ .../test_population_infections_he_weekly.py | 51 +-- ...nfections_he_weekly_joint_ascertainment.py | 48 +-- ...test_population_infections_he_weekly_rt.py | 49 +-- test/test_pyrenew_builder.py | 94 +++++ test/test_synthetic_hew_export.py | 121 +++++++ 8 files changed, 663 insertions(+), 117 deletions(-) create mode 100644 pyrenew/datasets/synthetic_hew_export.py create mode 100644 test/test_synthetic_hew_export.py diff --git a/pyrenew/datasets/__init__.py b/pyrenew/datasets/__init__.py index 47b4b4bf..cd0c4df1 100644 --- a/pyrenew/datasets/__init__.py +++ b/pyrenew/datasets/__init__.py @@ -11,6 +11,7 @@ load_synthetic_true_parameters, load_synthetic_weekly_hospital_admissions, ) +from pyrenew.datasets.synthetic_hew_export import write_synthetic_hew_model_dir from pyrenew.datasets.wastewater_nwss import load_wastewater_data_for_state __all__ = [ @@ -22,4 +23,5 @@ "load_synthetic_true_parameters", "load_synthetic_weekly_hospital_admissions", "load_wastewater_data_for_state", + "write_synthetic_hew_model_dir", ] diff --git a/pyrenew/datasets/synthetic_hew_export.py b/pyrenew/datasets/synthetic_hew_export.py new file mode 100644 index 00000000..657cd747 --- /dev/null +++ b/pyrenew/datasets/synthetic_hew_export.py @@ -0,0 +1,321 @@ +""" +Export PyRenew synthetic H+E data to a production-style HEW model directory. + +This module does not import or depend on ``pyrenew-multisignal`` or +``cfa-stf-routine-forecasting``. It only writes the file layout those +repositories expect for a direct model fit. +""" + +from __future__ import annotations + +import json +import shutil +from pathlib import Path +from textwrap import dedent + +import numpy as np + +from pyrenew.datasets.infection_admission_interval import ( + load_example_infection_admission_interval, +) +from pyrenew.datasets.synthetic_data import ( + load_synthetic_daily_ed_visits, + load_synthetic_true_parameters, + load_synthetic_weekly_hospital_admissions, +) + + +DEFAULT_RIGHT_TRUNCATION_PMF = [1.0] +"""Default PMF used when synthetic ED reports are treated as complete.""" + + +def _as_float_list(values) -> list[float]: + """ + Convert an array-like object to a JSON-serializable list of floats. + """ + return [float(x) for x in values] + + +def _lognormal_moment_match(pmf: list[float]) -> tuple[float, float]: + """ + Approximate lognormal parameters for a discrete delay PMF. + + The production HEW model expects a lognormal reference location and scale + for the inferred hospital delay. The pipeline derives these from the delay + PMF; here we use a moment-matching approximation over positive day indices. + """ + probs = np.asarray(pmf, dtype=float) + probs = probs / probs.sum() + days = np.arange(probs.size, dtype=float) + + positive = days > 0 + probs = probs[positive] + days = days[positive] + probs = probs / probs.sum() + + mean = float(np.sum(days * probs)) + variance = float(np.sum(((days - mean) ** 2) * probs)) + sigma2 = np.log1p(variance / mean**2) + loc = np.log(mean) - 0.5 * sigma2 + scale = np.sqrt(sigma2) + return float(loc), float(scale) + + +def _default_priors_text() -> str: + """ + Return a minimal priors.py compatible with the production HEW model builder. + + These priors are intended for synthetic-data smoke tests, not production + forecasting. + """ + return dedent( + """ + import jax.numpy as jnp + import numpyro.distributions as dist + import pyrenew.transformation as transformation + from pyrenew.deterministic import DeterministicVariable + from pyrenew.randomvariable import DistributionalVariable, TransformedVariable + + i0_first_obs_n_rv = DeterministicVariable("i0_first_obs_n_rv", 4 / 10000) + log_r_mu_intercept_rv = DeterministicVariable( + "log_r_mu_intercept_rv", jnp.log(1.2) + ) + eta_sd_rv = DistributionalVariable( + "eta_sd", dist.TruncatedNormal(0.15, 0.05, low=0) + ) + autoreg_rt_rv = DistributionalVariable("autoreg_rt", dist.Beta(2, 40)) + + inf_feedback_strength_rv = TransformedVariable( + "inf_feedback", + DistributionalVariable( + "inf_feedback_raw", + dist.LogNormal(jnp.log(50), jnp.log(1.5)), + ), + transforms=transformation.AffineTransform(loc=0, scale=-1), + ) + + delay_offset_loc_rv = DistributionalVariable( + "delay_offset_loc", dist.Normal(0.75, 0.5) + ) + delay_log_offset_scale_rv = DistributionalVariable( + "delay_log_offset_scale", dist.Normal(0, 0.5) + ) + + p_ed_visit_mean_rv = DistributionalVariable( + "p_ed_visit_mean", + dist.Normal(transformation.SigmoidTransform().inv(0.005), 0.3), + ) + p_ed_visit_w_sd_rv = DistributionalVariable( + "p_ed_visit_w_sd_sd", dist.TruncatedNormal(0, 0.01, low=0) + ) + autoreg_p_ed_visit_rv = DistributionalVariable( + "autoreg_p_ed_visit_rv", dist.Beta(1, 100) + ) + ed_visit_wday_effect_rv = TransformedVariable( + "ed_visit_wday_effect", + DistributionalVariable( + "ed_visit_wday_effect_raw", + dist.Dirichlet(jnp.array([5, 5, 5, 5, 5, 5, 5])), + ), + transformation.AffineTransform(loc=0, scale=7), + ) + + ihr_rv = TransformedVariable( + "ihr", + DistributionalVariable( + "logit_ihr", + dist.Normal(transformation.SigmoidTransform().inv(0.005), 0.3), + ), + transforms=transformation.SigmoidTransform(), + ) + ihr_rel_iedr_rv = DistributionalVariable( + "ihr_rel_iedr", dist.LogNormal(0, jnp.log(jnp.sqrt(2))) + ) + + ed_neg_bin_concentration_rv = DistributionalVariable( + "ed_visit_neg_bin_concentration", dist.LogNormal(4, 1) + ) + hosp_admit_neg_bin_concentration_rv = DistributionalVariable( + "hosp_admit_neg_bin_concentration", dist.LogNormal(4 + jnp.log(7), 1.5) + ) + + t_peak_rv = DistributionalVariable("t_peak", dist.TruncatedNormal(5, 1, low=0)) + duration_shed_after_peak_rv = DistributionalVariable( + "durtion_shed_after_peak", dist.TruncatedNormal(12, 3, low=0) + ) + log10_genome_per_inf_ind_rv = DistributionalVariable( + "log10_genome_per_inf_ind", dist.Normal(12, 2) + ) + mode_sigma_ww_site_rv = DistributionalVariable( + "mode_sigma_ww_site", dist.TruncatedNormal(1, 1, low=0) + ) + sd_log_sigma_ww_site_rv = DistributionalVariable( + "sd_log_sigma_ww_site", dist.TruncatedNormal(0, 0.693, low=0) + ) + mode_sd_ww_site_rv = DistributionalVariable( + "mode_sd_ww_site", dist.TruncatedNormal(0, 0.25, low=0) + ) + + autoreg_rt_subpop_rv = DistributionalVariable( + "autoreg_rt_subpop", dist.Beta(1, 4) + ) + sigma_rt_rv = DistributionalVariable( + "sigma_rt", dist.TruncatedNormal(0, 0.1, low=0) + ) + sigma_i_first_obs_rv = DistributionalVariable( + "sigma_i_first_obs", dist.TruncatedNormal(0, 0.5, low=0) + ) + offset_ref_logit_i_first_obs_rv = DistributionalVariable( + "offset_ref_logit_i_first_obs", dist.Normal(0, 0.25) + ) + offset_ref_log_rt_rv = DistributionalVariable( + "offset_ref_log_r_t", dist.Normal(0, 0.2) + ) + + ww_ml_produced_per_day = 227000 + max_shed_interval = 26 + """ + ).lstrip() + + +def write_synthetic_hew_model_dir( + model_dir: str | Path, + priors_path: str | Path | None = None, + overwrite: bool = False, + location: str = "CA", + disease: str = "COVID-19", + right_truncation_offset: int | None = None, + right_truncation_pmf: list[float] | None = None, + other_ed_visits_multiplier: float = 10.0, + delay_pmf_source: str = "ed", +) -> Path: + """ + Write synthetic H+E data in the production HEW ``model_dir`` layout. + + Parameters + ---------- + model_dir + Directory to create. The function writes ``priors.py``, + ``data/data_for_model_fit.json``, and ``data/model_params.json``. + priors_path + Optional path to an external priors file. If omitted, a minimal + synthetic-data priors file is written. + overwrite + Whether to replace an existing ``model_dir``. + location + Jurisdiction code to write in the production-shaped data. + disease + Disease label to write in the ED data. + right_truncation_offset + Offset used by the production ED right-truncation adjustment. Use + ``None`` for complete synthetic data. + right_truncation_pmf + Reporting-delay PMF. Defaults to ``[1.0]`` for complete reports. + other_ed_visits_multiplier + Multiplier used to create the production-required + ``other_ed_visits`` field from disease ED visits. This field is + included for schema compatibility and is not used by the HEW model. + delay_pmf_source + Source for ``inf_to_hosp_admit_pmf`` in ``model_params.json``. + ``"ed"`` uses the synthetic ED delay PMF. ``"hospital"`` uses the + example infection-to-admission PMF. + + Returns + ------- + pathlib.Path + Path to the created model directory. + """ + model_dir = Path(model_dir) + if model_dir.exists(): + if not overwrite: + raise FileExistsError( + f"{model_dir} already exists. Pass overwrite=True to replace it." + ) + shutil.rmtree(model_dir) + + data_dir = model_dir / "data" + data_dir.mkdir(parents=True) + + true_params = load_synthetic_true_parameters() + daily_ed = load_synthetic_daily_ed_visits() + weekly_hosp = load_synthetic_weekly_hospital_admissions() + hosp_delay = _as_float_list( + load_example_infection_admission_interval()["probability_mass"].to_numpy() + ) + ed_delay = _as_float_list(true_params["ed_visits"]["delay_pmf"]) + + if delay_pmf_source == "ed": + delay_pmf = ed_delay + elif delay_pmf_source == "hospital": + delay_pmf = hosp_delay + else: + raise ValueError("delay_pmf_source must be one of {'ed', 'hospital'}.") + + delay_loc, delay_scale = _lognormal_moment_match(delay_pmf) + right_truncation_pmf = ( + DEFAULT_RIGHT_TRUNCATION_PMF + if right_truncation_pmf is None + else _as_float_list(right_truncation_pmf) + ) + + ed_visits = daily_ed["ed_visits"].to_list() + data_for_model_fit = { + "loc_pop": [int(true_params["population"])], + "right_truncation_offset": right_truncation_offset, + "nssp_step_size": 1, + "nhsn_step_size": 7, + "nssp_training_data": { + "date": daily_ed["date"].to_list(), + "geo_value": [location] * len(daily_ed), + "observed_ed_visits": [float(x) for x in ed_visits], + "other_ed_visits": [ + float(max(1.0, round(x * other_ed_visits_multiplier))) + for x in ed_visits + ], + "data_type": ["train"] * len(daily_ed), + }, + "nssp_training_dates": daily_ed["date"].to_list(), + "nhsn_training_data": { + "weekendingdate": weekly_hosp["week_end"].to_list(), + "jurisdiction": [location] * len(weekly_hosp), + "hospital_admissions": [ + float(x) for x in weekly_hosp["weekly_hosp_admits"].to_list() + ], + "data_type": ["train"] * len(weekly_hosp), + }, + "nhsn_training_dates": weekly_hosp["week_end"].to_list(), + } + + model_params = { + "population_size": int(true_params["population"]), + "pop_fraction": [1.0], + "generation_interval_pmf": _as_float_list( + true_params["generation_interval_pmf"] + ), + "right_truncation_pmf": right_truncation_pmf, + "inf_to_hosp_admit_lognormal_loc": delay_loc, + "inf_to_hosp_admit_lognormal_scale": delay_scale, + "inf_to_hosp_admit_pmf": delay_pmf, + } + + with open(data_dir / "data_for_model_fit.json", "w") as f: + json.dump(data_for_model_fit, f, indent=2) + with open(data_dir / "model_params.json", "w") as f: + json.dump(model_params, f, indent=2) + + if priors_path is None: + (model_dir / "priors.py").write_text(_default_priors_text()) + else: + shutil.copyfile(priors_path, model_dir / "priors.py") + + metadata = { + "source": "pyrenew.datasets.write_synthetic_hew_model_dir", + "location": location, + "disease": disease, + "delay_pmf_source": delay_pmf_source, + "other_ed_visits_multiplier": other_ed_visits_multiplier, + } + with open(model_dir / "metadata.json", "w") as f: + json.dump(metadata, f, indent=2) + + return model_dir diff --git a/pyrenew/model/multisignal_model.py b/pyrenew/model/multisignal_model.py index 1a0f4b88..748835a6 100644 --- a/pyrenew/model/multisignal_model.py +++ b/pyrenew/model/multisignal_model.py @@ -157,6 +157,100 @@ def pad_observations( padding = jnp.full(pad_shape, jnp.nan) return jnp.concatenate([padding, obs], axis=axis) + def pad_aggregated_observations( + self, + obs: ArrayLike, + observation_name: str, + n_days_post_init: int, + obs_start_date: dt.date | dt.datetime | np.datetime64 | None, + axis: int = 0, + ) -> jnp.ndarray: + """ + Pad regular aggregated observations to the expected period sequence. + + User data for weekly observations usually contains only observed + weekly totals. This method prepends one NaN per unobserved reporting + period before the first observed period, including periods created by + the model's initialization window. The result is the dense array + expected by regular aggregated observation processes such as + ``PopulationCounts(aggregation="weekly", reporting_schedule="regular")``. + + Parameters + ---------- + obs + Observations in natural coordinates. Integer arrays are converted + to float so NaN padding can be represented. + observation_name + Name of the registered observation process whose reporting cadence + should be used for padding. + n_days_post_init + Number of modeled days after the initialization period. + obs_start_date + Date of the first observed day. Required for aggregated + observations that need calendar alignment. + axis + Axis along which to pad (typically 0 for time or reporting period). + + Returns + ------- + jnp.ndarray + Padded observations with leading NaN values. + + Raises + ------ + ValueError + If ``observation_name`` is unknown, if the observation is not + aggregated, if it uses an irregular reporting schedule, if a + calendar anchor is missing, or if ``obs`` is longer than the + model's reporting-period sequence. + """ + if observation_name not in self.observations: + raise ValueError( + f"Unknown observation '{observation_name}'. " + f"Available: {list(self.observations.keys())}" + ) + + observation = self.observations[observation_name] + aggregation = getattr(observation, "aggregation", "daily") + if aggregation == "daily": + raise ValueError( + "pad_aggregated_observations is only for aggregated " + f"observations; observation '{observation_name}' has " + "aggregation='daily'. Use pad_observations for daily " + "observations." + ) + + if getattr(observation, "reporting_schedule", "regular") != "regular": + raise ValueError( + "pad_aggregated_observations requires a regular reporting " + f"schedule; observation '{observation_name}' has " + f"reporting_schedule={observation.reporting_schedule!r}." + ) + + if obs_start_date is None: + raise ValueError( + "obs_start_date is required to pad aggregated observations " + f"for observation '{observation_name}'." + ) + + first_day_dow = self._resolve_first_day_dow(obs_start_date) + n_total = self.latent.n_initialization_points + n_days_post_init + n_periods = observation._n_periods(n_total, first_day_dow) + + obs = jnp.asarray(obs, dtype=float) + n_pre = n_periods - obs.shape[axis] + if n_pre < 0: + raise ValueError( + f"Observation '{observation_name}' has length {obs.shape[axis]} " + f"along axis {axis}, which exceeds the model reporting-period " + f"length {n_periods}." + ) + + pad_shape = list(obs.shape) + pad_shape[axis] = n_pre + padding = jnp.full(pad_shape, jnp.nan) + return jnp.concatenate([padding, obs], axis=axis) + def _resolve_first_day_dow( self, obs_start_date: dt.date | dt.datetime | np.datetime64 | None, diff --git a/test/integration/test_population_infections_he_weekly.py b/test/integration/test_population_infections_he_weekly.py index 0f9aa407..cf876cd0 100644 --- a/test/integration/test_population_infections_he_weekly.py +++ b/test/integration/test_population_infections_he_weekly.py @@ -27,43 +27,6 @@ OBS_START_DATE = date(2023, 11, 5) -def _build_hospital_obs_on_period_grid( - model: MultiSignalModel, - weekly_values: jnp.ndarray, - first_day_dow: int, -) -> jnp.ndarray: - """ - Build a dense weekly-observation array on the model's period grid. - - Pads ``n_pre`` NaN values at the front for periods that precede the - first observed week (periods that overlap the initialization window - and any pre-observation gap). - - Parameters - ---------- - model : MultiSignalModel - Built model exposing ``latent.n_initialization_points``. - weekly_values : jnp.ndarray - Observed weekly hospital admissions, one per MMWR epiweek. - first_day_dow : int - Day-of-week index of element 0 of the shared daily axis. - - Returns - ------- - jnp.ndarray - Dense array of shape ``(n_periods,)`` with NaN for unobserved - periods and observed counts for periods covered by - ``weekly_values``. - """ - hosp = model.observations["hospital"] - n_init = model.latent.n_initialization_points - n_total = n_init + N_DAYS_FIT - offset = hosp._compute_period_offset(first_day_dow, hosp.start_dow) - n_periods = (n_total - offset) // hosp.aggregation_period - n_pre = n_periods - len(weekly_values) - return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) - - class TestDataAssembly: """Verify synthetic data can be loaded and aligned to the weekly model.""" @@ -144,8 +107,11 @@ def test_weekly_obs_alignment( weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - he_weekly_model, weekly_values, first_day_dow + hosp_obs = he_weekly_model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) n_init = he_weekly_model.latent.n_initialization_points @@ -186,8 +152,11 @@ def test_weekly_hospital_and_daily_ed_sites( weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - he_weekly_model, weekly_values, first_day_dow + hosp_obs = he_weekly_model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) ed_obs = he_weekly_model.pad_observations( jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) diff --git a/test/integration/test_population_infections_he_weekly_joint_ascertainment.py b/test/integration/test_population_infections_he_weekly_joint_ascertainment.py index 0c255584..7df51133 100644 --- a/test/integration/test_population_infections_he_weekly_joint_ascertainment.py +++ b/test/integration/test_population_infections_he_weekly_joint_ascertainment.py @@ -26,37 +26,6 @@ OBS_START_DATE = date(2023, 11, 5) -def _build_hospital_obs_on_period_grid( - model: MultiSignalModel, - weekly_values: jnp.ndarray, - first_day_dow: int, -) -> jnp.ndarray: - """ - Build a dense weekly-observation array on the model's period grid. - - Parameters - ---------- - model : MultiSignalModel - Built model exposing ``latent.n_initialization_points``. - weekly_values : jnp.ndarray - Observed weekly hospital admissions, one per MMWR epiweek. - first_day_dow : int - Day-of-week index of element 0 of the shared daily axis. - - Returns - ------- - jnp.ndarray - Dense array with NaN for unobserved pre-data periods. - """ - hosp = model.observations["hospital"] - n_init = model.latent.n_initialization_points - n_total = n_init + N_DAYS_FIT - offset = hosp._compute_period_offset(first_day_dow, hosp.start_dow) - n_periods = (n_total - offset) // hosp.aggregation_period - n_pre = n_periods - len(weekly_values) - return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) - - class TestJointStructure: """Check that the fixture has the intended H+E joint structure.""" @@ -126,12 +95,14 @@ def test_weekly_obs_alignment( Weekly hospital admissions. """ model = he_weekly_joint_ascertainment_model - first_day_dow = model._resolve_first_day_dow(OBS_START_DATE) weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - model, weekly_values, first_day_dow + hosp_obs = model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) assert int((~jnp.isnan(hosp_obs)).sum()) == len(weekly_hosp) @@ -161,12 +132,14 @@ def test_joint_ascertainment_sites_are_sampled_once( Daily ED visits. """ model = he_weekly_joint_ascertainment_model - first_day_dow = model._resolve_first_day_dow(OBS_START_DATE) weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - model, weekly_values, first_day_dow + hosp_obs = model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) ed_obs = model.pad_observations( jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) @@ -185,6 +158,7 @@ def test_joint_ascertainment_sites_are_sampled_once( n_total = model.latent.n_initialization_points + N_DAYS_FIT hospital = model.observations["hospital"] + first_day_dow = model._resolve_first_day_dow(OBS_START_DATE) offset = hospital._compute_period_offset(first_day_dow, hospital.start_dow) n_periods = (n_total - offset) // hospital.aggregation_period diff --git a/test/integration/test_population_infections_he_weekly_rt.py b/test/integration/test_population_infections_he_weekly_rt.py index 613c41c2..619edb45 100644 --- a/test/integration/test_population_infections_he_weekly_rt.py +++ b/test/integration/test_population_infections_he_weekly_rt.py @@ -34,39 +34,6 @@ WEEK_START_DOW = 6 -def _build_hospital_obs_on_period_grid( - model: MultiSignalModel, - weekly_values: jnp.ndarray, - first_day_dow: int, -) -> jnp.ndarray: - """ - Build a dense weekly-observation array on the model's period grid. - - Parameters - ---------- - model : MultiSignalModel - Built model exposing ``latent.n_initialization_points``. - weekly_values : jnp.ndarray - Observed weekly hospital admissions, one per MMWR epiweek. - first_day_dow : int - Day-of-week index of element 0 of the shared daily axis. - - Returns - ------- - jnp.ndarray - Dense array of shape ``(n_periods,)`` with NaN for unobserved - periods and observed counts for periods covered by - ``weekly_values``. - """ - hosp = model.observations["hospital"] - n_init = model.latent.n_initialization_points - n_total = n_init + N_DAYS_FIT - offset = hosp._compute_period_offset(first_day_dow, hosp.start_dow) - n_periods = (n_total - offset) // hosp.aggregation_period - n_pre = n_periods - len(weekly_values) - return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) - - def _expected_n_weekly(model: MultiSignalModel, first_day_dow: int) -> int: """ Expected number of weekly R(t) samples for calendar-week alignment. @@ -114,8 +81,11 @@ def test_weekly_rt_recorded( weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - he_weekly_rt_model, weekly_values, first_day_dow + hosp_obs = he_weekly_rt_model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) ed_obs = he_weekly_rt_model.pad_observations( jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) @@ -178,13 +148,14 @@ def fitted_model( MultiSignalModel Model with MCMC results attached. """ - first_day_dow = he_weekly_rt_model._resolve_first_day_dow(OBS_START_DATE) - weekly_values = jnp.array( weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32 ) - hosp_obs = _build_hospital_obs_on_period_grid( - he_weekly_rt_model, weekly_values, first_day_dow + hosp_obs = he_weekly_rt_model.pad_aggregated_observations( + weekly_values, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) ed_obs = he_weekly_rt_model.pad_observations( diff --git a/test/test_pyrenew_builder.py b/test/test_pyrenew_builder.py index 9a1dd421..1a327678 100644 --- a/test/test_pyrenew_builder.py +++ b/test/test_pyrenew_builder.py @@ -756,6 +756,100 @@ def test_pad_observations_prepends_nans(self, simple_builder): # Integer input should be converted to float assert jnp.issubdtype(padded.dtype, jnp.floating) + def test_pad_aggregated_observations_rejects_daily_observations( + self, simple_builder + ): + """Daily observations should use pad_observations instead.""" + model = simple_builder.build() + + with pytest.raises(ValueError, match="Use pad_observations"): + model.pad_aggregated_observations( + jnp.array([1, 2, 3]), + observation_name="hospital", + n_days_post_init=3, + obs_start_date=None, + ) + + def test_pad_aggregated_observations_weekly_prepends_period_nans(self): + """Weekly regular observations are padded on the reporting-period axis.""" + builder = _coherence_builder( + single_rt_process=fixed_ar1(autoreg=0.9, innovation_sd=0.05), + observations=[_weekly_hosp_counts()], + ) + model = builder.build() + n_days_post_init = 28 + obs_start_date = _obs_date_for_dow( + target_first_day_dow=6, + n_init=model.latent.n_initialization_points, + ) + + padded = model.pad_aggregated_observations( + jnp.array([10, 20, 30]), + observation_name="hospital", + n_days_post_init=n_days_post_init, + obs_start_date=obs_start_date, + ) + + n_total = model.latent.n_initialization_points + n_days_post_init + hospital = model.observations["hospital"] + first_day_dow = model._resolve_first_day_dow(obs_start_date) + n_periods = hospital._n_periods(n_total, first_day_dow) + n_pre = n_periods - 3 + + assert padded.shape == (n_periods,) + assert jnp.all(jnp.isnan(padded[:n_pre])) + assert jnp.array_equal(padded[n_pre:], jnp.array([10.0, 20.0, 30.0])) + + def test_pad_aggregated_observations_unknown_observation_raises( + self, simple_builder + ): + """Unknown observation names raise an informative error.""" + model = simple_builder.build() + + with pytest.raises(ValueError, match="Unknown observation"): + model.pad_aggregated_observations( + jnp.array([1, 2, 3]), + observation_name="missing", + n_days_post_init=3, + obs_start_date=None, + ) + + def test_pad_aggregated_observations_weekly_requires_obs_start_date(self): + """Calendar-aligned aggregated padding requires obs_start_date.""" + builder = _coherence_builder( + single_rt_process=fixed_ar1(autoreg=0.9, innovation_sd=0.05), + observations=[_weekly_hosp_counts()], + ) + model = builder.build() + + with pytest.raises(ValueError, match="obs_start_date is required"): + model.pad_aggregated_observations( + jnp.array([1, 2, 3]), + observation_name="hospital", + n_days_post_init=28, + obs_start_date=None, + ) + + def test_pad_aggregated_observations_rejects_too_many_periods(self): + """Observed period arrays cannot exceed the model period count.""" + builder = _coherence_builder( + single_rt_process=fixed_ar1(autoreg=0.9, innovation_sd=0.05), + observations=[_weekly_hosp_counts()], + ) + model = builder.build() + obs_start_date = _obs_date_for_dow( + target_first_day_dow=6, + n_init=model.latent.n_initialization_points, + ) + + with pytest.raises(ValueError, match="exceeds the model reporting-period"): + model.pad_aggregated_observations( + jnp.arange(10), + observation_name="hospital", + n_days_post_init=14, + obs_start_date=obs_start_date, + ) + @pytest.mark.parametrize( "obs_start_dow, expected", [ diff --git a/test/test_synthetic_hew_export.py b/test/test_synthetic_hew_export.py new file mode 100644 index 00000000..a5ad7ac3 --- /dev/null +++ b/test/test_synthetic_hew_export.py @@ -0,0 +1,121 @@ +""" +Unit tests for exporting synthetic H+E data to a HEW model directory. +""" + +import json +from pathlib import Path + +import pytest + +from pyrenew.datasets import write_synthetic_hew_model_dir + + +def test_write_synthetic_hew_model_dir_creates_expected_files(tmp_path: Path): + """Exporter writes the model directory files expected by HEW fit helpers.""" + model_dir = write_synthetic_hew_model_dir(tmp_path / "synthetic_he") + + assert (model_dir / "priors.py").exists() + assert (model_dir / "metadata.json").exists() + assert (model_dir / "data" / "data_for_model_fit.json").exists() + assert (model_dir / "data" / "model_params.json").exists() + + +def test_data_for_model_fit_has_production_he_schema(tmp_path: Path): + """Exported data JSON has NSSP and NHSN training-data sections.""" + model_dir = write_synthetic_hew_model_dir(tmp_path / "synthetic_he") + with open(model_dir / "data" / "data_for_model_fit.json") as f: + data = json.load(f) + + assert data["loc_pop"] == [39512223] + assert data["right_truncation_offset"] is None + assert data["nssp_step_size"] == 1 + assert data["nhsn_step_size"] == 7 + + nssp = data["nssp_training_data"] + assert set(nssp) == { + "date", + "geo_value", + "observed_ed_visits", + "other_ed_visits", + "data_type", + } + assert len(nssp["date"]) == 126 + assert len(nssp["observed_ed_visits"]) == 126 + + nhsn = data["nhsn_training_data"] + assert set(nhsn) == { + "weekendingdate", + "jurisdiction", + "hospital_admissions", + "data_type", + } + assert len(nhsn["weekendingdate"]) == 18 + assert len(nhsn["hospital_admissions"]) == 18 + + +def test_model_params_has_production_he_schema(tmp_path: Path): + """Exported model params JSON has fields required by PyrenewHEWParam.""" + model_dir = write_synthetic_hew_model_dir(tmp_path / "synthetic_he") + with open(model_dir / "data" / "model_params.json") as f: + params = json.load(f) + + assert set(params) == { + "population_size", + "pop_fraction", + "generation_interval_pmf", + "right_truncation_pmf", + "inf_to_hosp_admit_lognormal_loc", + "inf_to_hosp_admit_lognormal_scale", + "inf_to_hosp_admit_pmf", + } + assert params["population_size"] == 39512223 + assert params["pop_fraction"] == [1.0] + assert params["right_truncation_pmf"] == [1.0] + assert len(params["generation_interval_pmf"]) == 7 + assert len(params["inf_to_hosp_admit_pmf"]) == 12 + assert params["inf_to_hosp_admit_lognormal_scale"] > 0 + + +def test_model_params_can_use_hospital_delay(tmp_path: Path): + """Exporter can write the example hospital delay PMF instead of ED delay.""" + model_dir = write_synthetic_hew_model_dir( + tmp_path / "synthetic_he", + delay_pmf_source="hospital", + ) + with open(model_dir / "data" / "model_params.json") as f: + params = json.load(f) + + assert len(params["inf_to_hosp_admit_pmf"]) > 12 + + +def test_invalid_delay_pmf_source_raises(tmp_path: Path): + """Exporter rejects unknown delay PMF source names.""" + with pytest.raises(ValueError, match="delay_pmf_source"): + write_synthetic_hew_model_dir( + tmp_path / "synthetic_he", + delay_pmf_source="unknown", + ) + + +def test_overwrite_guard(tmp_path: Path): + """Exporter refuses to replace an existing model directory by default.""" + model_dir = write_synthetic_hew_model_dir(tmp_path / "synthetic_he") + + with pytest.raises(FileExistsError): + write_synthetic_hew_model_dir(model_dir) + + write_synthetic_hew_model_dir(model_dir, overwrite=True) + assert (model_dir / "data" / "data_for_model_fit.json").exists() + + +def test_can_copy_external_priors_file(tmp_path: Path): + """Exporter can copy a caller-provided priors file.""" + priors_path = tmp_path / "custom_priors.py" + priors_path.write_text("# custom priors\n") + + model_dir = write_synthetic_hew_model_dir( + tmp_path / "synthetic_he", + priors_path=priors_path, + ) + + assert (model_dir / "priors.py").read_text() == "# custom priors\n" From 5cbcb3d5b2db822ec2ee98d26fe5088e9af88b01 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Wed, 13 May 2026 16:29:06 -0400 Subject: [PATCH 06/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 338 +++++++++++++++++++---- 1 file changed, 280 insertions(+), 58 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index cfcc7856..3635ee90 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -22,16 +22,29 @@ jupyter: #| output: false from datetime import date +import time import warnings -import jax.numpy as jnp +import arviz as az import numpyro + +numpyro.set_host_device_count(4) +numpyro.enable_x64() + +import jax +import jax.numpy as jnp +import jax.random as random +import numpy as np import numpyro.distributions as dist +import pandas as pd +import plotnine as p9 warnings.filterwarnings("ignore") +from _tutorial_theme import theme_tutorial from pyrenew.ascertainment import JointAscertainment from pyrenew.datasets import ( + load_synthetic_daily_infections, load_example_infection_admission_interval, load_synthetic_daily_ed_visits, load_synthetic_true_parameters, @@ -50,11 +63,11 @@ This tutorial builds a small hospital + emergency department model using PyRenew The production model is coded directly in NumPyro. Here we use PyRenew's high-level components and `PyrenewBuilder` class to specify a model with the same core shape: -- one latent population-level infection process, -- weekly hospital admissions, -- a weekly-parameterized reproduction number, -- joint scalar ascertainment for the two clinical signals. -- daily ED visits, with a day of the week effect +- one latent population-level infection process +- a weekly-parameterized $\mathcal{R}(t)$ process +- weekly hospital admissions +- daily ED visits with a day-of-week effect +- joint scalar ascertainment for the two clinical signals The renewal equation and delay convolutions run on a daily model axis, while the hospital likelihood is evaluated on weekly totals and the ED likelihood is evaluated on daily counts. @@ -67,7 +80,7 @@ Both observations receive the same aggregate infection trajectory, but they map flowchart TB subgraph Latent["Latent Infection Process"] - R["Weekly DifferencedAR1
for log R(t)"] + R["Weekly DifferencedAR1
for log $\\mathcal{R}(t)$"] I["Daily renewal equation
(PopulationInfections)"] end @@ -102,7 +115,7 @@ flowchart TB The components are: - **Latent infections**: `PopulationInfections` produces a single aggregate infection trajectory. -- **$\mathcal{R}(t)$process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. +- **$\mathcal{R}(t)$ process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. - **Ascertainment**: `JointAscertainment` samples scalar hospital and ED ascertainment rates from one joint prior. - **Hospital observation**: `PopulationCounts` scores weekly hospital totals. - **ED observation**: `PopulationCounts` scores daily ED counts and includes a day-of-week effect. @@ -133,14 +146,14 @@ The end-to-end flow for the weekly hospital signal is: 2. Run the daily renewal equation to produce daily infections. 3. Convert daily infections to daily predicted hospital admissions using hospital delay and joint ascertainment component's `for_signal("hospital")`. 4. Sum daily predicted admissions to MMWR weeks. -5. Evaluate the negative-binomoial observation model on the weekly hospital observations. +5. Evaluate the negative-binomial observation model on the weekly hospital observations. The daily ED signal shares steps 1--3, but remains on the daily grid for the likelihood. 1. Sample or construct daily $\mathcal{R}(t)$, possibly by broadcasting weekly values. 2. Run the daily renewal equation to produce daily infections. 3. Convert daily infections to daily predicted ED visits using delay and joint ascertainment component's `for_signal("ed_visits")`. -4. Evaluate the negative-binomoial observation model on the daily ED visits. +4. Evaluate the negative-binomial observation model on the daily ED visits. This separation means that mixed-cadence models are natural: weekly hospital admissions and daily ED visits can share the same latent daily infection trajectory, regardless of whether $\mathcal{R}(t)$ is parameterized daily, weekly, or with another stepwise cadence. @@ -246,14 +259,14 @@ Instead, the ascertainment object provides signal-specific accessors: `ascertain ### Observation Processes -Both hospital admissions and ED visits are count observations, so both components are specified as `PopulationCount` objects. +Both hospital admissions and ED visits are count observations, so both components are specified as `PopulationCounts` objects. They share the same daily latent infection trajectory, but the observation model is evaluated at different reporting cadences: weekly totals for hospital admissions and daily counts for ED visits. -To define a `PopulationCount` object, you must specify its +To define a `PopulationCounts` object, you must specify its - **Ascertainment rate**: the probability that an infection results in an observed event - **Delay distribution**: the distribution of times from infection to the corresponding event -- **Noise model**: the count distribution used to model variation around the expected number of event. +- **Noise model**: the count distribution used to model variation around the expected number of events. In addition, count data observation processes have optional parameters for: @@ -346,6 +359,7 @@ N_DAYS_FIT = 126 OBS_START_DATE = date(2023, 11, 5) true_params = load_synthetic_true_parameters() +daily_infections = load_synthetic_daily_infections() weekly_hosp = load_synthetic_weekly_hospital_admissions() daily_ed = load_synthetic_daily_ed_visits() @@ -451,7 +465,7 @@ ed_obs = PopulationCounts( ) ``` -Finally we instantiate a `PyrenewBuilder object`. +Finally, we instantiate a `PyrenewBuilder` object. ```{python} #| code-fold: false @@ -492,51 +506,36 @@ The model includes an initialization period before the first observed day. During that period, PyRenew computes latent infections and predicted observations, but there are no data to condition on. We mark those unobserved positions with `NaN`. -For daily ED visits, alignment is simple: `model.pad_observations()` prepends the required number of daily `NaN` values. +We prepare one observed array for each signal. +Daily ED observations are padded with `model.pad_observations()`. +Weekly hospital observations are padded with `model.pad_aggregated_observations()`, which pads on the hospital observation process's weekly reporting cadence. ```{python} #| code-fold: false -#| label: align-ed-data +#| label: align-observed-data ed_observed = model.pad_observations( jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) ) -print(f"ED observation array shape: {ed_observed.shape}") -``` - -For weekly hospital admissions, the CSV contains only observed weekly totals. -Because the hospital observation process aggregates daily predictions to MMWR weeks, we construct the corresponding weekly observation array and prepend `NaN` values for any pre-observation weeks. - -```{python} -#| code-fold: false -#| label: align-hosp-data - -def build_hospital_obs_on_period_grid(model, weekly_values, n_days_fit, obs_start_date): - hospital = model.observations["hospital"] - first_day_dow = model._resolve_first_day_dow(obs_start_date) - n_init = model.latent.n_initialization_points - n_total = n_init + n_days_fit - offset = hospital._compute_period_offset(first_day_dow, hospital.start_dow) - n_periods = (n_total - offset) // hospital.aggregation_period - n_pre = n_periods - len(weekly_values) - return jnp.concatenate([jnp.full(n_pre, jnp.nan, dtype=jnp.float32), weekly_values]) - -hospital_observed = build_hospital_obs_on_period_grid( - model, +hospital_observed = model.pad_aggregated_observations( jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), - N_DAYS_FIT, - OBS_START_DATE, + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, ) + +print(f"ED observation array shape: {ed_observed.shape}") print(f"Hospital observation array shape: {hospital_observed.shape}") ``` -## Inspect the Model Graph +### Check the Mixed-Cadence Structure -Before running MCMC, it is useful to inspect one model trace. -This confirms that the latent process is weekly-parameterized while predictions still live on the daily axis where needed. +Before fitting, it can be useful to run one seeded model execution and inspect selected site shapes. +This is a quick check that the weekly and daily pieces are aligned as intended. ```{python} +#| code-fold: false #| label: trace-model with numpyro.handlers.seed(rng_seed=0): @@ -552,33 +551,256 @@ with numpyro.handlers.seed(rng_seed=0): for site in [ "log_rt_single_weekly", "PopulationInfections::log_rt_single", - "he_ascertainment_eta", "hospital_predicted_daily", "hospital_predicted", "ed_visits_predicted", ]: - value = trace[site]["value"] - print(f"{site}: {value.shape}") + print(f"{site}: {trace[site]['value'].shape}") ``` The expected pattern is: -- `log_rt_single_weekly` is shorter than the daily model axis. +- `log_rt_single_weekly` has one value for each calendar week touched by the padded daily model axis, including a leading partial week. - `PopulationInfections::log_rt_single` is daily, because the renewal equation runs daily. - `hospital_predicted_daily` is daily before aggregation. -- `hospital_predicted` is weekly, matching the hospital data. +- `hospital_predicted` contains complete weekly hospital reporting periods only, so it can be one shorter than `log_rt_single_weekly`. - `ed_visits_predicted` is daily, matching the ED data. -## What This Leaves Out +### Fit the Model to Synthetic Data + +We now run MCMC on the synthetic hospital and ED observations. +The model arguments are the same ones used in the trace check above. -This tutorial uses high-level PyRenew components to specify a vanilla H+E model. -Several production features are intentionally omitted: +```{python} +#| code-fold: false +#| label: fit-synthetic-data + +jax.clear_caches() + +start_time = time.time() +model.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples = model.mcmc.get_samples() +jax.block_until_ready(samples) +print(f"Elapsed time: {time.time() - start_time:.1f} seconds") +``` + +We use ArviZ for a small convergence check and a synthetic-data recovery check. +The first `n_init` daily time points are initialization points, so we trim them from daily posterior quantities before summarizing or plotting. + +```{python} +#| code-fold: false +#| label: arviz-checks + +n_init = model.latent.n_initialization_points + + +def trim_time(ds): + if "time" in ds.dims: + ds = ds.isel(time=slice(n_init, None)) + ds = ds.assign_coords(time=range(ds.sizes["time"])) + return ds + + +idata = az.from_numpyro( + model.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_trimmed = idata.map_over_datasets(trim_time) + +summary = az.summary( + idata_trimmed, + var_names=[ + "I0", + "log_rt_time_0", + "he_ascertainment_hospital", + "he_ascertainment_ed_visits", + ], +) +summary +``` + +For this synthetic example, the sampler should mix well for the core scalar parameters. +The posterior $\mathcal{R}(t)$ interval should also cover most of the true synthetic $\mathcal{R}(t)$ trajectory. -- infection feedback, -- time-varying ED ascertainment, -- IHR derived as a ratio relative to IEDR, -- inferred hospital delay distributions, -- production nowcasting inputs upstream of the PyRenew model. +```{python} +#| code-fold: false +#| label: synthetic-recovery-check + +rhat = summary["r_hat"].astype(float) +ess = summary["ess_bulk"].astype(float) +print(f"Max R-hat: {rhat.max():.3f}") +print(f"Min bulk ESS: {ess.min():.0f}") + +rt_posterior = idata_trimmed.posterior["PopulationInfections::rt_single"] +rt_q05 = rt_posterior.quantile(0.05, dim=["chain", "draw"]).values.squeeze() +rt_q50 = rt_posterior.quantile(0.50, dim=["chain", "draw"]).values.squeeze() +rt_q95 = rt_posterior.quantile(0.95, dim=["chain", "draw"]).values.squeeze() + +true_rt = daily_infections["true_rt"].to_numpy() +n_compare = min(len(true_rt), len(rt_q05)) +rt_covered = (true_rt[:n_compare] >= rt_q05[:n_compare]) & ( + true_rt[:n_compare] <= rt_q95[:n_compare] +) +print(f"90% interval coverage for true R(t): {np.mean(rt_covered):.1%}") +``` + +Finally, we plot the observed signals against the inferred $\mathcal{R}(t)$ trajectory. +The panels use separate y-axes because hospital admissions, ED visits, and $\mathcal{R}(t)$ are on different scales. + +```{python} +#| label: fig-fit-synthetic-data +#| fig-cap: Observed synthetic hospital and ED data with inferred time-varying reproduction number. + +rt_dates = pd.to_datetime(daily_infections["date"].to_numpy())[:n_compare] +rt_df = pd.DataFrame( + { + "date": rt_dates, + "median": rt_q50[:n_compare], + "q05": rt_q05[:n_compare], + "q95": rt_q95[:n_compare], + "true": true_rt[:n_compare], + "panel": "$\\mathcal{R}(t)$", + } +) + +hosp_df = pd.DataFrame( + { + "date": pd.to_datetime(weekly_hosp["week_end"].to_numpy()), + "observed": weekly_hosp["weekly_hosp_admits"].to_numpy(), + "panel": "Weekly hospital admissions", + } +) + +ed_df = pd.DataFrame( + { + "date": pd.to_datetime(daily_ed["date"].to_numpy()), + "observed": daily_ed["ed_visits"].to_numpy(), + "panel": "Daily ED visits", + } +) + +plot_df = pd.concat( + [ + rt_df[["date", "median", "q05", "q95", "true", "panel"]], + hosp_df.assign(median=np.nan, q05=np.nan, q95=np.nan, true=np.nan), + ed_df.assign(median=np.nan, q05=np.nan, q95=np.nan, true=np.nan), + ], + ignore_index=True, +) +plot_df["panel"] = pd.Categorical( + plot_df["panel"], + categories=[ + "$\\mathcal{R}(t)$", + "Weekly hospital admissions", + "Daily ED visits", + ], + ordered=True, +) + +( + p9.ggplot(plot_df, p9.aes(x="date")) + + p9.geom_ribbon( + p9.aes(ymin="q05", ymax="q95"), + data=rt_df, + fill="steelblue", + alpha=0.25, + ) + + p9.geom_line( + p9.aes(y="median"), + data=rt_df, + color="steelblue", + size=1.0, + ) + + p9.geom_line( + p9.aes(y="true"), + data=rt_df, + color="black", + linetype="dashed", + size=0.8, + ) + + p9.geom_point( + p9.aes(y="observed"), + data=hosp_df, + color="firebrick", + size=1.8, + alpha=0.85, + ) + + p9.geom_point( + p9.aes(y="observed"), + data=ed_df, + color="darkgreen", + size=0.8, + alpha=0.35, + ) + + p9.facet_wrap("~panel", ncol=1, scales="free_y") + + p9.labs(x=None, y=None) + + theme_tutorial +) +``` + +### Optional: Run the Production HEW Model + +The bundled synthetic H+E data can also be exported to the `model_dir` layout expected by the production HEW fitting code. +This is useful for development checks, but it requires local checkouts of `pyrenew-multisignal` and `cfa-stf-routine-forecasting`. +For that reason, this block is not evaluated when the tutorial is rendered. + +```{python} +#| label: optional-run-production-hew +#| eval: false +#| code-fold: false + +from pathlib import Path +import sys + +from pyrenew.datasets import write_synthetic_hew_model_dir + +PYRENEW_MULTISIGNAL_DIR = Path("~/github/CDC/pyrenew-multisignal").expanduser() +CFA_STF_DIR = Path("~/github/CDC/cfa-stf-routine-forecasting").expanduser() + +sys.path.insert(0, str(PYRENEW_MULTISIGNAL_DIR / "src")) +sys.path.insert(0, str(CFA_STF_DIR)) + +from pipelines.pyrenew_hew.fit_pyrenew_model import fit_and_save_model + +model_dir = Path("scratch/synthetic_pyrenew_hew_model") + +write_synthetic_hew_model_dir( + model_dir, + overwrite=True, + # Optional: use downstream priors instead of the PyRenew synthetic default. + # priors_path=CFA_STF_DIR / "pipelines/priors/test_data_generation_priors.py", +) + +fit_and_save_model( + model_dir=model_dir, + fit_ed_visits=True, + fit_hospital_admissions=True, + fit_wastewater=False, + n_warmup=500, + n_samples=500, + n_chains=4, + rng_key=42, +) +``` -Those features require additional model components or stronger assumptions. -The model here is meant to show the core high-level PyRenew interface for mixed-cadence hospital and ED signals. +The exporter writes `priors.py`, `metadata.json`, `data/data_for_model_fit.json`, and `data/model_params.json`. +The production fit writes posterior samples to `posterior_samples.pickle` inside the same `model_dir`. From 46db11dee631c9d112b3149aa9bf8cf80ba78c60 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Wed, 13 May 2026 18:46:05 -0400 Subject: [PATCH 07/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 246 +++++++++++++++-------- 1 file changed, 165 insertions(+), 81 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 3635ee90..9353e375 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -211,7 +211,7 @@ The weekly wrapper estimates one latent $\mathcal{R}(t)$ state per week and broa weekly_rt_process = WeeklyTemporalProcess( DifferencedAR1( autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), - innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.01), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.05), ), start_dow=MMWR_WEEK, ) @@ -232,12 +232,14 @@ For each signal, the model samples a scalar ascertainment rate. The rates are modeled jointly: `baseline_rates` gives their prior centers on the probability scale, while `covariance_matrix` describes uncertainty and dependence on the logit scale. The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. -Here the prior centers are 0.005 for the hospital infection-hospitalization ratio and 0.0075 for the ED infection-to-ED-visit ratio. -We choose a logit-scale standard deviation of 0.7 for both rates and a prior correlation of 0.5. +Here the prior centers are the synthetic data-generating hospital infection-hospitalization ratio and ED infection-to-ED-visit ratio. +We choose a logit-scale standard deviation of 0.1 for both rates and a prior correlation of 0.5. This says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. +The small standard deviation intentionally anchors the ascertainment rates for this synthetic recovery example. +A later sensitivity analysis can relax this prior to show how weakly identified ascertainment affects the latent infection estimates. ```python -ascertainment_sd = 0.7 +ascertainment_sd = 0.1 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -249,7 +251,7 @@ ascertainment_cov = jnp.array( ascertainment = JointAscertainment( name="he_ascertainment", signals=("hospital", "ed_visits"), - baseline_rates=jnp.array([0.005, 0.0075]), + baseline_rates=jnp.array([true_ihr, true_iedr]), covariance_matrix=ascertainment_cov, ) ``` @@ -386,7 +388,20 @@ gen_int_pmf = jnp.array( ) gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) -I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) + +I0_rv = TransformedVariable( + name="I0", + base_rv=DistributionalVariable( + name="logit_I0", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(true_params["i0_per_capita"]), + 0.1, + ), + ), + transforms=transformation.SigmoidTransform(), +) + + log_rt_time_0_rv = DistributionalVariable( "log_rt_time_0", dist.Normal(0.0, 0.5), @@ -395,12 +410,18 @@ log_rt_time_0_rv = DistributionalVariable( weekly_rt_process = WeeklyTemporalProcess( DifferencedAR1( autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), - innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.01), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.03), ), start_dow=MMWR_WEEK, ) ``` +Because this is a synthetic recovery example, we center the initial infection and ascertainment +priors at the data-generating values and make them intentionally informative. +A later sensitivity analysis relaxes these priors to show how the latent infection scale depends +on external information about initial prevalence and ascertainment. + + Next we specify the joint ascertainment ```{python} @@ -410,7 +431,7 @@ Next we specify the joint ascertainment true_ihr = true_params["hospitalizations"]["ihr"] true_iedr = true_params["ed_visits"]["iedr"] -ascertainment_sd = 0.7 +ascertainment_sd = 0.1 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -445,13 +466,18 @@ hospital_obs = PopulationCounts( start_dow=MMWR_WEEK, ) -ed_day_of_week_rv = TransformedVariable( - name="ed_day_of_week_effect", - base_rv=DistributionalVariable( - name="ed_day_of_week_effect_raw", - distribution=dist.Dirichlet(jnp.ones(7) * 5), - ), - transforms=transformation.AffineTransform(loc=0.0, scale=7.0), +# ed_day_of_week_rv = TransformedVariable( +# name="ed_day_of_week_effect", +# base_rv=DistributionalVariable( +# name="ed_day_of_week_effect_raw", +# distribution=dist.Dirichlet(jnp.ones(7) * 5), +# ), +# transforms=transformation.AffineTransform(loc=0.0, scale=7.0), +# ) + +ed_day_of_week_rv = DeterministicVariable( + "ed_day_of_week_effect", + jnp.array(true_params["ed_visits"]["day_of_week_effects"]), ) ed_obs = PopulationCounts( @@ -625,6 +651,7 @@ idata = az.from_numpyro( }, ) idata_trimmed = idata.map_over_datasets(trim_time) +idata_trimmed.posterior["I0"] = 1 / (1 + np.exp(-idata_trimmed.posterior["logit_I0"])) summary = az.summary( idata_trimmed, @@ -639,7 +666,7 @@ summary ``` For this synthetic example, the sampler should mix well for the core scalar parameters. -The posterior $\mathcal{R}(t)$ interval should also cover most of the true synthetic $\mathcal{R}(t)$ trajectory. +The posterior latent infection interval should also cover most of the true synthetic infection trajectory. ```{python} #| code-fold: false @@ -650,109 +677,166 @@ ess = summary["ess_bulk"].astype(float) print(f"Max R-hat: {rhat.max():.3f}") print(f"Min bulk ESS: {ess.min():.0f}") -rt_posterior = idata_trimmed.posterior["PopulationInfections::rt_single"] -rt_q05 = rt_posterior.quantile(0.05, dim=["chain", "draw"]).values.squeeze() -rt_q50 = rt_posterior.quantile(0.50, dim=["chain", "draw"]).values.squeeze() -rt_q95 = rt_posterior.quantile(0.95, dim=["chain", "draw"]).values.squeeze() +latent_inf = idata_trimmed.posterior["latent_infections"] +inf_q05 = latent_inf.quantile(0.05, dim=["chain", "draw"]).values +inf_q50 = latent_inf.quantile(0.50, dim=["chain", "draw"]).values +inf_q95 = latent_inf.quantile(0.95, dim=["chain", "draw"]).values -true_rt = daily_infections["true_rt"].to_numpy() -n_compare = min(len(true_rt), len(rt_q05)) -rt_covered = (true_rt[:n_compare] >= rt_q05[:n_compare]) & ( - true_rt[:n_compare] <= rt_q95[:n_compare] +true_infections = daily_infections["true_infections"].to_numpy() +n_compare = min(len(true_infections), len(inf_q05)) +inf_covered = (true_infections[:n_compare] >= inf_q05[:n_compare]) & ( + true_infections[:n_compare] <= inf_q95[:n_compare] ) -print(f"90% interval coverage for true R(t): {np.mean(rt_covered):.1%}") +print(f"90% interval coverage for true infections: {np.mean(inf_covered):.1%}") ``` -Finally, we plot the observed signals against the inferred $\mathcal{R}(t)$ trajectory. -The panels use separate y-axes because hospital admissions, ED visits, and $\mathcal{R}(t)$ are on different scales. +Finally, we visualize posterior latent infections alongside the observed hospital and ED signals. +The panels use separate y-axes because latent infections, weekly hospital admissions, and daily ED visits are on different scales. ```{python} #| label: fig-fit-synthetic-data -#| fig-cap: Observed synthetic hospital and ED data with inferred time-varying reproduction number. +#| fig-cap: Posterior latent infections and observed synthetic H+E data. -rt_dates = pd.to_datetime(daily_infections["date"].to_numpy())[:n_compare] -rt_df = pd.DataFrame( +infections_df = pd.DataFrame( { - "date": rt_dates, - "median": rt_q50[:n_compare], - "q05": rt_q05[:n_compare], - "q95": rt_q95[:n_compare], - "true": true_rt[:n_compare], - "panel": "$\\mathcal{R}(t)$", + "day": np.arange(n_compare), + "median": inf_q50[:n_compare], + "q05": inf_q05[:n_compare], + "q95": inf_q95[:n_compare], + "raw": np.nan, + "signal": "Latent Infections", } ) +week_end_dates = pd.to_datetime(weekly_hosp["week_end"].to_numpy()) hosp_df = pd.DataFrame( { - "date": pd.to_datetime(weekly_hosp["week_end"].to_numpy()), - "observed": weekly_hosp["weekly_hosp_admits"].to_numpy(), - "panel": "Weekly hospital admissions", + "day": (week_end_dates - pd.Timestamp(OBS_START_DATE)).days, + "median": weekly_hosp["weekly_hosp_admits"].to_numpy(), + "raw": weekly_hosp["weekly_hosp_admits"].to_numpy(), + "q05": np.nan, + "q95": np.nan, + "signal": "Weekly Hospital Admissions", } ) +ed_raw = np.array(daily_ed["ed_visits"].to_numpy(), dtype=float) +ed_ma = pd.Series(ed_raw).rolling(window=7, center=True).mean().values ed_df = pd.DataFrame( { - "date": pd.to_datetime(daily_ed["date"].to_numpy()), - "observed": daily_ed["ed_visits"].to_numpy(), - "panel": "Daily ED visits", + "day": np.arange(len(ed_raw)), + "median": ed_ma, + "raw": ed_raw, + "q05": np.nan, + "q95": np.nan, + "signal": "Daily ED Visits (7-day MA)", } ) -plot_df = pd.concat( - [ - rt_df[["date", "median", "q05", "q95", "true", "panel"]], - hosp_df.assign(median=np.nan, q05=np.nan, q95=np.nan, true=np.nan), - ed_df.assign(median=np.nan, q05=np.nan, q95=np.nan, true=np.nan), - ], - ignore_index=True, -) -plot_df["panel"] = pd.Categorical( - plot_df["panel"], +plot_df = pd.concat([infections_df, hosp_df, ed_df], ignore_index=True) +plot_df["signal"] = pd.Categorical( + plot_df["signal"], categories=[ - "$\\mathcal{R}(t)$", - "Weekly hospital admissions", - "Daily ED visits", + "Weekly Hospital Admissions", + "Daily ED Visits (7-day MA)", + "Latent Infections", ], ordered=True, ) ( - p9.ggplot(plot_df, p9.aes(x="date")) + p9.ggplot(plot_df, p9.aes(x="day")) + p9.geom_ribbon( p9.aes(ymin="q05", ymax="q95"), - data=rt_df, fill="steelblue", - alpha=0.25, + alpha=0.3, + ) + + p9.geom_point( + p9.aes(y="raw"), + color="gray", + alpha=0.35, + size=1, ) + p9.geom_line( p9.aes(y="median"), - data=rt_df, - color="steelblue", - size=1.0, + color="darkblue", + size=1, ) - + p9.geom_line( - p9.aes(y="true"), - data=rt_df, - color="black", - linetype="dashed", - size=0.8, + + p9.facet_wrap("~signal", ncol=1, scales="free_y") + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Count", + title="Posterior Latent Infections vs Observed H+E Data", ) - + p9.geom_point( - p9.aes(y="observed"), - data=hosp_df, - color="firebrick", - size=1.8, - alpha=0.85, + + theme_tutorial +) +``` + +The relative width of the posterior interval is another simple way to inspect uncertainty in the inferred latent infections. +This scales the 90% interval width by the posterior median, so the diagnostic is not dominated by periods with larger infection counts. + +```{python} +#| label: fig-latent-infection-interval-width +#| fig-cap: Relative posterior interval width for latent infections over the synthetic H+E fit. + +inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( + inf_q50[:n_compare], 1.0 +) +period_edges = list(range(-1, n_compare, 14)) +if period_edges[-1] != n_compare - 1: + period_edges.append(n_compare - 1) +period_labels = [ + f"Days {start + 1}-{end}" + for start, end in zip(period_edges[:-1], period_edges[1:], strict=True) +] + +ci_width_df = pd.DataFrame( + { + "day": np.arange(n_compare), + "relative_width": inf_relative_width, + "period": pd.cut( + np.arange(n_compare), + bins=period_edges, + labels=period_labels, + ), + } +) + +period_summary_df = ( + ci_width_df.groupby("period", observed=True) + .agg( + start=("day", "min"), + end=("day", "max"), + mean_relative_width=("relative_width", "mean"), ) - + p9.geom_point( - p9.aes(y="observed"), - data=ed_df, - color="darkgreen", - size=0.8, - alpha=0.35, + .reset_index() +) + +print("\nMean relative 90% interval width by time period:") +for row in period_summary_df.itertuples(index=False): + print(f" {row.period}: {row.mean_relative_width:.2f}") + +( + p9.ggplot(ci_width_df, p9.aes(x="day", y="relative_width")) + + p9.geom_line(color="gray", alpha=0.6, size=0.7) + + p9.geom_segment( + data=period_summary_df, + mapping=p9.aes( + x="start", + xend="end", + y="mean_relative_width", + yend="mean_relative_width", + color="period", + ), + size=1.6, + ) + + p9.labs( + x="Day", + y="Relative 90% interval width", + color="Period", + title="Posterior Uncertainty in Latent Infections", ) - + p9.facet_wrap("~panel", ncol=1, scales="free_y") - + p9.labs(x=None, y=None) + theme_tutorial ) ``` From 409f9e77059acfef88afb879e815bfebe841d815 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 18:41:42 -0400 Subject: [PATCH 08/20] checkpointing --- docs/tutorials/.pages | 1 + docs/tutorials/multisignal_H_E_model.qmd | 341 ++- .../multisignal_hosp_ed_workflow.qmd | 1864 +++++++++++++++++ pyrenew/datasets/synthetic_hew_export.py | 19 +- 4 files changed, 2188 insertions(+), 37 deletions(-) create mode 100644 docs/tutorials/multisignal_hosp_ed_workflow.qmd diff --git a/docs/tutorials/.pages b/docs/tutorials/.pages index 78eeb285..4c827506 100644 --- a/docs/tutorials/.pages +++ b/docs/tutorials/.pages @@ -9,3 +9,4 @@ nav: - day_of_week_effects.md - ascertainment.md - multisignal_H_E_model.md + - multisignal_hosp_ed_workflow.md diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 9353e375..7a42621d 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -59,6 +59,67 @@ from pyrenew.time import MMWR_WEEK import pyrenew.transformation as transformation ``` +```{python} +#| label: helper functions +#| output: false + +def plot_delay_distribution(delay_pmf, title): + """Plot a discrete delay probability distribution over days.""" + delay_pmf = np.asarray(delay_pmf) + + days = np.arange(len(delay_pmf)) + mean_delay = float(np.sum(days * delay_pmf)) + mode_delay = int(np.argmax(delay_pmf)) + + delay_df = pd.DataFrame( + { + "days": days, + "probability": delay_pmf, + } + ) + + max_probability = delay_df["probability"].max() + + return ( + p9.ggplot(delay_df, p9.aes(x="days", y="probability")) + + p9.geom_col(fill="steelblue", alpha=0.7, color="black") + + p9.geom_vline( + xintercept=mode_delay, + color="purple", + linetype="solid", + size=1, + ) + + p9.geom_vline( + xintercept=mean_delay, + color="red", + linetype="dashed", + size=1, + ) + + p9.labs( + x="Days", + y="Probability", + title=title, + ) + + theme_tutorial + + p9.annotate( + "text", + x=mode_delay + 8, + y=max_probability * 0.95, + label=f"Mode: {mode_delay} days", + color="purple", + size=10, + ) + + p9.annotate( + "text", + x=mean_delay + 8, + y=max_probability * 0.8, + label=f"Mean: {mean_delay:.1f} days", + color="red", + size=10, + ) + ) +``` + This tutorial builds a small hospital + emergency department model using PyRenew's high-level components which approximates a production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https://www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). The production model is coded directly in NumPyro. Here we use PyRenew's high-level components and `PyrenewBuilder` class to specify a model with the same core shape: @@ -115,7 +176,7 @@ flowchart TB The components are: - **Latent infections**: `PopulationInfections` produces a single aggregate infection trajectory. -- **$\mathcal{R}(t)$ process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. +- **$\mathcal{R}(t)$process**: `WeeklyTemporalProcess` samples weekly values and broadcasts them to the daily renewal equation. - **Ascertainment**: `JointAscertainment` samples scalar hospital and ED ascertainment rates from one joint prior. - **Hospital observation**: `PopulationCounts` scores weekly hospital totals. - **ED observation**: `PopulationCounts` scores daily ED counts and includes a day-of-week effect. @@ -372,9 +433,46 @@ ed_delay_pmf = jnp.array(true_params["ed_visits"]["delay_pmf"]) population_size = float(weekly_hosp["pop"][0]) +true_i0 = float(true_params["i0_per_capita"]) +true_ihr = float(true_params["hospitalizations"]["ihr"]) +true_iedr = float(true_params["ed_visits"]["iedr"]) +true_dow_effects = jnp.array(true_params["ed_visits"]["day_of_week_effects"]) + + print(f"Weekly hospital rows: {len(weekly_hosp)}") print(f"Daily ED rows: {len(daily_ed)}") print(f"Population size: {population_size:,.0f}") +print() +print("Data-generating values we will try to recover:") +print(f" Initial infections per capita (I0): {true_i0:.5f}") +print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") +print(f" ED ascertainment (IEDR): {true_iedr:.5f}") +print(f" Ratio IHR / IEDR: {true_ihr / true_iedr:.3f}") +print(f" ED visits day-of-week effects: {true_dow_effects}") +``` + +```{python} +#| label: delay-pmf-plots +#| layout-ncol: 2 +#| fig-height: 4 +#| fig-width: 6 + +from IPython.display import display + +max_days = max(len(hosp_delay_pmf), len(ed_delay_pmf)) - 1 +x_limits = (0, max_days) + +plot_hosp_delay = plot_delay_distribution( + hosp_delay_pmf, + "Infection-to-Hospitalization Delay Distribution", +) + p9.coord_cartesian(xlim=x_limits) +plot_ed_delay = plot_delay_distribution( + ed_delay_pmf, + "Infection-to-ED Visit Delay Distribution", +) + p9.coord_cartesian(xlim=x_limits) + +display(plot_hosp_delay) +display(plot_ed_delay) ``` First we specify the latent components @@ -386,26 +484,19 @@ First we specify the latent components gen_int_pmf = jnp.array( [0.6326975, 0.2327564, 0.0856263, 0.03150015, 0.01158826, 0.00426308, 0.0015683] ) - gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) - I0_rv = TransformedVariable( name="I0", base_rv=DistributionalVariable( name="logit_I0", distribution=dist.Normal( transformation.SigmoidTransform().inv(true_params["i0_per_capita"]), - 0.1, + 0.25, ), ), transforms=transformation.SigmoidTransform(), ) - - -log_rt_time_0_rv = DistributionalVariable( - "log_rt_time_0", - dist.Normal(0.0, 0.5), -) +log_rt_time_0_rv = DistributionalVariable("log_rt_time_0", dist.Normal(0.0, 0.5)) weekly_rt_process = WeeklyTemporalProcess( DifferencedAR1( @@ -416,11 +507,8 @@ weekly_rt_process = WeeklyTemporalProcess( ) ``` -Because this is a synthetic recovery example, we center the initial infection and ascertainment -priors at the data-generating values and make them intentionally informative. -A later sensitivity analysis relaxes these priors to show how the latent infection scale depends -on external information about initial prevalence and ascertainment. - +Because this is a synthetic recovery example, we center the initial infection and ascertainment priors at the data-generating values and make them intentionally informative. +A later sensitivity analysis relaxes these priors to show how the latent infection scale depends on external information about initial prevalence and ascertainment. Next we specify the joint ascertainment @@ -428,9 +516,6 @@ Next we specify the joint ascertainment #| code-fold: false #| label: joint-ascertainment -true_ihr = true_params["hospitalizations"]["ihr"] -true_iedr = true_params["ed_visits"]["iedr"] - ascertainment_sd = 0.1 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( @@ -450,6 +535,8 @@ ascertainment = JointAscertainment( Next we specify the hospital and ED visit observation processes +Here we don't try to estimate the day-of-week effect on ED visits, we supply the true day-of-week effects. + ```{python} #| code-fold: false #| label: observation-processes @@ -553,6 +640,62 @@ hospital_observed = model.pad_aggregated_observations( print(f"ED observation array shape: {ed_observed.shape}") print(f"Hospital observation array shape: {hospital_observed.shape}") + +# Raw observations on a shared calendar axis +ed_dates = pd.date_range( + start=pd.Timestamp(OBS_START_DATE), + periods=len(daily_ed), + freq="D", +) + +ed_plot_df = pd.DataFrame( + { + "date": ed_dates, + "count": daily_ed["ed_visits"].to_numpy(), + "signal": "Daily ED visits", + } +) + +hosp_plot_df = pd.DataFrame( + { + "week_end": pd.to_datetime(weekly_hosp["week_end"]), + "count": weekly_hosp["weekly_hosp_admits"].to_numpy(), + "signal": "Weekly hospital admissions", + } +) +hosp_plot_df["week_start"] = hosp_plot_df["week_end"] - pd.Timedelta(days=6) + +raw_obs_plot = ( + p9.ggplot() + + p9.geom_rect( + hosp_plot_df, + p9.aes( + xmin="week_start", + xmax="week_end", + ymin=0, + ymax="count", + ), + fill="steelblue", + alpha=0.7, + color="black", + ) + + p9.geom_col( + ed_plot_df, + p9.aes(x="date", y="count"), + fill="darkorange", + alpha=0.65, + width=0.9, + ) + + p9.facet_wrap("~signal", ncol=1, scales="free_y") + + p9.labs( + x="Date", + y="Observed count", + title="Observed Hospital Admissions and ED Visits", + ) + + theme_tutorial +) + +raw_obs_plot ``` ### Check the Mixed-Cadence Structure @@ -624,8 +767,7 @@ We use ArviZ for a small convergence check and a synthetic-data recovery check. The first `n_init` daily time points are initialization points, so we trim them from daily posterior quantities before summarizing or plotting. ```{python} -#| code-fold: false -#| label: arviz-checks +#| label: arviz-checks-recovered-params n_init = model.latent.n_initialization_points @@ -665,11 +807,115 @@ summary = az.summary( summary ``` +The model recovers the data-generating parameters. + +```{python} +print("Data-generating values we will try to recover:") +print(f" Initial infections per capita (I0): {true_i0:.5f}") +print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") +print(f" ED ascertainment (IEDR): {true_iedr:.5f}") +``` + +Next we inspect the estimates for $\mathcal{R}(t)$. + +```{python} +#| label: arviz-checks-recovered-rt + +rt_days = list(range(0, 126, 7)) +summary = az.summary( + idata_trimmed, + var_names=[ + "PopulationInfections::rt_single", + ], + coords={ + "time": rt_days, + "dummy": [0], + }, +) +summary +``` + +The synthetic data-generating program creates a true $\mathcal{R}(t)$ trajectory which has a falling, rising, falling cadence: + +```python +def build_true_rt() -> np.ndarray: + """ + Build a piecewise-linear true R(t) trajectory. + + Phases: decline from 1.2 to 0.8 (63 d), rise from 0.8 to 1.1 (42 d), + decline from 1.1 to 0.85 (21 d). Total 126 days = 18 weeks. +``` + +```{python} +#| label: plot-recovered-rt + +rt = idata.posterior["PopulationInfections::rt_single"].squeeze() +rt_q = rt.quantile([0.05, 0.5, 0.95], dim=["chain", "draw"]) +rt_q05 = rt_q.sel(quantile=0.05).values +rt_q50 = rt_q.sel(quantile=0.5).values +rt_q95 = rt_q.sel(quantile=0.95).values + +n_init = model.latent.n_initialization_points +days = np.arange(len(rt_q50)) - n_init + +rt_df = pd.DataFrame( + { + "day": days, + "q05": rt_q05, + "median": rt_q50, + "q95": rt_q95, + "period": np.where(days < 0, "Initialization", "Observed period"), + } +) + +rt_plot = ( + p9.ggplot(rt_df, p9.aes(x="day")) + + p9.geom_ribbon( + p9.aes(ymin="q05", ymax="q95"), + fill="steelblue", + alpha=0.25, + ) + + p9.geom_line( + p9.aes(y="median"), + color="steelblue", + size=1, + ) + + p9.geom_hline(yintercept=1.0, linetype="dashed", alpha=0.6) + + p9.geom_vline(xintercept=0, linetype="dotted", alpha=0.8) + + p9.annotate( + "text", + x=-n_init / 2, + y=max(rt_q95) * 0.95, + label="Initialization period", + size=9, + color="gray", + ) + + p9.annotate( + "text", + x=20, + y=max(rt_q95) * 0.95, + label="Observed period", + size=9, + color="gray", + ) + + p9.labs( + x="Day relative to first observation", + y="Rt", + title="Posterior Rt Over Initialization and Observation Periods", + ) + + theme_tutorial +) + +rt_plot +``` + For this synthetic example, the sampler should mix well for the core scalar parameters. -The posterior latent infection interval should also cover most of the true synthetic infection trajectory. +The posterior latent infection interval should contain the true synthetic infection trajectory for most timepoints; in this run, coverage may be higher than 90% because the check uses a small, temporally correlated set of timepoints. + +The 90% posterior interval covers the full true latent infection trajectory in this run. +This should be interpreted together with the interval widths: the median relative width is about 33%, while uncertainty increases near the right edge of the time series. ```{python} -#| code-fold: false #| label: synthetic-recovery-check rhat = summary["r_hat"].astype(float) @@ -690,7 +936,7 @@ inf_covered = (true_infections[:n_compare] >= inf_q05[:n_compare]) & ( print(f"90% interval coverage for true infections: {np.mean(inf_covered):.1%}") ``` -Finally, we visualize posterior latent infections alongside the observed hospital and ED signals. +We visualize posterior latent infections alongside the observed hospital and ED signals. The panels use separate y-axes because latent infections, weekly hospital admissions, and daily ED visits are on different scales. ```{python} @@ -778,7 +1024,8 @@ This scales the 90% interval width by the posterior median, so the diagnostic is ```{python} #| label: fig-latent-infection-interval-width -#| fig-cap: Relative posterior interval width for latent infections over the synthetic H+E fit. +#| fig-cap: Relative posterior interval width for latent infections over the +#| synthetic H+E fit. inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( inf_q50[:n_compare], 1.0 @@ -849,11 +1096,14 @@ For that reason, this block is not evaluated when the tutorial is rendered. ```{python} #| label: optional-run-production-hew -#| eval: false #| code-fold: false from pathlib import Path import sys +import contextlib +import io +import time + from pyrenew.datasets import write_synthetic_hew_model_dir @@ -874,16 +1124,37 @@ write_synthetic_hew_model_dir( # priors_path=CFA_STF_DIR / "pipelines/priors/test_data_generation_priors.py", ) -fit_and_save_model( - model_dir=model_dir, - fit_ed_visits=True, - fit_hospital_admissions=True, - fit_wastewater=False, - n_warmup=500, - n_samples=500, - n_chains=4, - rng_key=42, -) +jax.clear_caches() + +stdout = io.StringIO() +stderr = io.StringIO() +start_time = time.time() + +try: + with contextlib.redirect_stdout(stdout), contextlib.redirect_stderr(stderr): + fit_and_save_model( + model_dir=model_dir, + fit_ed_visits=True, + fit_hospital_admissions=True, + fit_wastewater=False, + n_warmup=500, + n_samples=500, + n_chains=4, + rng_key=42, + ) + + # Usually fit_and_save_model is already synchronous, but this is harmless on newer JAX versions. + if hasattr(jax, "effects_barrier"): + jax.effects_barrier() + + print(f"Elapsed time: {time.time() - start_time:.1f} seconds") + +except Exception: + print("fit_and_save_model failed. Last captured stdout:") + print(stdout.getvalue()[-4000:]) + print("Last captured stderr:") + print(stderr.getvalue()[-4000:]) + raise ``` The exporter writes `priors.py`, `metadata.json`, `data/data_for_model_fit.json`, and `data/model_params.json`. diff --git a/docs/tutorials/multisignal_hosp_ed_workflow.qmd b/docs/tutorials/multisignal_hosp_ed_workflow.qmd new file mode 100644 index 00000000..264374d1 --- /dev/null +++ b/docs/tutorials/multisignal_hosp_ed_workflow.qmd @@ -0,0 +1,1864 @@ +--- +title: Hospital and ED Multi-Signal Workflow +format: + gfm: + code-fold: true +engine: jupyter +jupyter: + jupytext: + text_representation: + extension: .qmd + format_name: quarto + format_version: "1.0" + jupytext_version: 1.19.1 + kernelspec: + display_name: Python 3 (ipykernel) + language: python + name: python3 +--- + +```{python} +#| label: setup +#| output: false + +from datetime import date +import time +import warnings + +import arviz as az +import numpyro + +numpyro.set_host_device_count(4) +numpyro.enable_x64() + +import jax +import jax.numpy as jnp +import jax.random as random +import numpy as np +import numpyro.distributions as dist +import pandas as pd +import plotnine as p9 + +warnings.filterwarnings("ignore") + +from _tutorial_theme import theme_tutorial +from pyrenew.ascertainment import AscertainmentModel +from pyrenew.datasets import ( + load_example_infection_admission_interval, + load_synthetic_daily_ed_visits, + load_synthetic_daily_infections, + load_synthetic_true_parameters, + load_synthetic_weekly_hospital_admissions, +) +from pyrenew.deterministic import DeterministicPMF, DeterministicVariable +from pyrenew.latent import DifferencedAR1, PopulationInfections, WeeklyTemporalProcess +from pyrenew.metaclass import RandomVariable +from pyrenew.model import PyrenewBuilder +from pyrenew.observation import NegativeBinomialNoise, PopulationCounts +from pyrenew.randomvariable import DistributionalVariable, TransformedVariable +from pyrenew.time import MMWR_WEEK +import pyrenew.transformation as transformation +``` + +## Overview + +This tutorial walks through fitting a joint hospital admissions and emergency department (ED) visits renewal model and uses small model variations to show what these two data streams can and cannot tell us when fit together. +The model approximates a production model used at the CDC for short-term forecasting of Covid, flu, and RSV. + +When hospital admissions and ED visits are fit jointly with no outside information, the two signals jointly pin down how much more common ED visits are than hospitalizations, but not the absolute rates themselves. +The same observed time series is consistent with many combinations of initial infection level and absolute ascertainment rate. +Pinning down the absolute level needs outside information: an informative prior on one of the rates, a separate signal that ties infections to a known scale, or both. + +The model samples $\mathcal{R}(t)$ once per week and runs the renewal equation day by day. +This is a deliberate modeling choice that affects both inference and interpretation; we discuss the trade-offs when we set up the $\mathcal{R}(t)$ process. + +A general note before we begin. +In dynamical models fit to noisy data, the data anchor the model's *outputs* (latent trajectories and predicted observations) more reliably than the individual parameters that combine to produce those outputs. +Trajectory recovery and parameter recovery are different questions and they can give different answers on the same fit. +We will see this pattern in several of the steps below. + +We work through this in five short fits. +Each fit changes one piece of the model and shows what the data can recover under that choice. + + | Step | $I_0$ | Hospital ascertainment (IHR) | ED ascertainment (IEDR) | + | ---- | ----- | -------------------------------- | ---------------------------- | + | 1 | fixed | fixed | fixed | + | 2 | free | fixed | fixed | + | 3 | fixed | free | free | + | 4 | free | free, independent priors | free, independent priors | + | 5 | free | linked: IHR = IEDR $\cdot$ ratio | free, with informative prior | + +The first four steps build up the picture from "everything known" to "everything free", and the fifth step links the two ascertainment rates the way the production model does. +Each step is a small edit to the builder configuration: the latent infection process and the two observation processes stay the same. + +## Model Structure + +All five fits use the same underlying renewal model: + +- A single population-level latent infection process. +- A weekly $\mathcal{R}(t)$ that updates calendar-week by calendar-week. +- Weekly hospital admissions reported as MMWR totals. +- Daily ED visits with a fixed day-of-week effect. + +```mermaid +flowchart TB + + subgraph Latent["Latent Infection Process"] + R["Weekly DifferencedAR1
for log $\mathcal{R}(t)$"] + I["Daily renewal equation
(PopulationInfections)"] + end + + subgraph Asc["Ascertainment (varies per step)"] + A["Hospital ascertainment IHR
ED ascertainment IEDR"] + end + + subgraph Obs["Observation Processes"] + H["Hospital admissions
PopulationCounts
weekly MMWR totals"] + E["ED visits
PopulationCounts
daily counts + day-of-week"] + end + + subgraph Data["Observed Data"] + HD["Weekly hospital data"] + ED["Daily ED data"] + end + + R -->|expand to daily| I + I --> H + I --> E + A --> H + A --> E + H -->|delay + IHR + weekly aggregation + noise| HD + E -->|delay + IEDR + day-of-week + noise| ED +``` + +The renewal equation steps day by day. +Hospital admissions are aggregated to weekly MMWR totals before they are compared with the observed weekly counts; ED visits are compared with the observed daily counts. +Across the five steps, the latent process and the two observation processes stay the same. +Only the ascertainment and $I_0$ pieces change. + +## Synthetic Data and True Parameters + +For this tutorial we use a bundled synthetic H+E dataset generated from a known infection trajectory. +Because the data-generating values are known, we can ask whether each model variant recovers them. + +```{python} +#| label: load-data + +N_DAYS_FIT = 126 +OBS_START_DATE = date(2023, 11, 5) + +true_params = load_synthetic_true_parameters() +daily_infections = load_synthetic_daily_infections() +weekly_hosp = load_synthetic_weekly_hospital_admissions() +daily_ed = load_synthetic_daily_ed_visits() + +hosp_delay_pmf = jnp.array( + load_example_infection_admission_interval()["probability_mass"].to_numpy() +) +ed_delay_pmf = jnp.array(true_params["ed_visits"]["delay_pmf"]) + +population_size = float(weekly_hosp["pop"][0]) +true_i0 = float(true_params["i0_per_capita"]) +true_ihr = float(true_params["hospitalizations"]["ihr"]) +true_iedr = float(true_params["ed_visits"]["iedr"]) +true_dow_effects = jnp.array(true_params["ed_visits"]["day_of_week_effects"]) + +print(f"Population size: {population_size:,.0f}") +print(f"Weekly hospital rows: {len(weekly_hosp)}") +print(f"Daily ED rows: {len(daily_ed)}") +print() +print("Data-generating values we will try to recover:") +print(f" Initial infections per capita (I0): {true_i0:.5f}") +print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") +print(f" ED ascertainment (IEDR): {true_iedr:.5f}") +print(f" Ratio IHR / IEDR: {true_ihr / true_iedr:.3f}") +``` + +Both ascertainment rates are small (well under 1% of infections), and IHR is about two-thirds of IEDR, so a randomly infected person is more likely to show up in the ED than to be admitted to the hospital. +The model variants below will be judged on whether they recover these values, the ratio, the latent infection trajectory, or some subset of these. + +## Shared Model Components + +The five variants share the same generation interval, delay distributions, $\mathcal{R}(t)$ process, day-of-week effect, and noise priors. +We define these once. + +### Generation Interval and Delay Distributions + +```{python} +#| label: shared-pmfs +#| code-fold: false + +gen_int_pmf = jnp.array( + [0.6326975, 0.2327564, 0.0856263, 0.03150015, 0.01158826, 0.00426308, 0.0015683] +) +gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) + +hosp_delay_rv = DeterministicPMF("hosp_delay", hosp_delay_pmf) +ed_delay_rv = DeterministicPMF("ed_delay", ed_delay_pmf) +``` + +The generation interval PMF matches the data-generating process. +We fix both delay PMFs at their data-generating values. +The production model has the option to infer delay parameters; we keep delays fixed here so that the experiments below isolate the role of ascertainment and $I_0$. + +### Weekly $\mathcal{R}(t)$ Process + +```{python} +#| label: shared-rt-process +#| code-fold: false + +log_rt_time_0_rv = DistributionalVariable("log_rt_time_0", dist.Normal(0.0, 0.5)) + +weekly_rt_process = WeeklyTemporalProcess( + DifferencedAR1( + autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.03), + ), + start_dow=MMWR_WEEK, +) +``` + +The differenced AR(1) process for log $\mathcal{R}(t)$ allows persistent upward or downward movement. +The weekly wrapper samples one $\mathcal{R}(t)$ value per MMWR week (Sunday through Saturday). +PyRenew expands the weekly trajectory to one value per day before the renewal equation runs, so the renewal step still produces daily infections. + +Sampling $\mathcal{R}(t)$ once per week instead of once per day reduces the number of $\mathcal{R}(t)$ parameters MCMC has to estimate by a factor of seven: 18 weekly values over our 126-day fitting window, versus 126 daily values. +This is a deliberate modeling choice. +It embeds the assumption that transmission shifts week to week, not day to day. +For COVID-style respiratory data fit over short windows, the weekly choice is the default in the production model; day-to-day transmission swings rarely move enough signal in hospital admissions or ED visits to be recoverable. +If a daily $\mathcal{R}(t)$ is needed, the inner `DifferencedAR1` can be passed to `configure_latent` directly without the weekly wrapper, and the rest of the model is unchanged. + +The starting log $\mathcal{R}(t)$ has a moderately broad prior; the AR(1) parameters are fixed at values typical for the production model. + +### Day-of-Week Effect + +```{python} +#| label: shared-dow +#| code-fold: false + +ed_day_of_week_rv = DeterministicVariable( + "ed_day_of_week_effect", + true_dow_effects, +) +``` + +ED visits show systematic day-of-week patterns from care-seeking behavior and reporting workflows. +The production model places a Dirichlet prior on the seven multipliers. +For this tutorial we hold the day-of-week effect fixed at the data-generating values so each step's results are not entangled with day-of-week inference. + +### Noise Priors + +```{python} +#| label: shared-noise +#| code-fold: false + +hosp_concentration_rv = DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) +ed_concentration_rv = DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) +``` + +Both observation processes use negative-binomial noise. +The hospital concentration prior is centered higher because weekly totals show less overdispersion than daily counts. +These priors are unchanged across all five variants. + +## Helpers + +Two small utility functions are used across the variants. + +```{python} +#| label: helpers +#| code-fold: false + +def trim_init(idata: az.InferenceData, n_init: int) -> az.InferenceData: + """ + Drop the initialization period from any posterior variable with a "time" dim. + + Parameters + ---------- + idata + Inference data produced by ``az.from_numpyro``. + n_init + Number of leading entries that belong to the initialization period and + should be dropped before plotting or summarizing. + + Returns + ------- + az.InferenceData + New inference data with the initialization period removed from any + dataset that has a "time" dimension. + """ + + def _trim(ds): + """ + Trim and reindex the "time" coordinate of one dataset. + + Returns + ------- + xarray.Dataset + The dataset with leading entries removed along "time". + """ + if "time" in ds.dims: + ds = ds.isel(time=slice(n_init, None)) + ds = ds.assign_coords(time=range(ds.sizes["time"])) + return ds + + return idata.map_over_datasets(_trim) + + +def coverage_pct(truth: np.ndarray, q05: np.ndarray, q95: np.ndarray) -> float: + """ + Compute the percentage of truth values that fall inside a 90% interval. + + Parameters + ---------- + truth + Vector of true values, one per time point. + q05 + Lower bound (5th percentile) of the posterior interval at each time point. + q95 + Upper bound (95th percentile) of the posterior interval at each time point. + + Returns + ------- + float + Fraction of time points covered by the interval, scaled to a percentage. + """ + n = min(len(truth), len(q05), len(q95)) + covered = (truth[:n] >= q05[:n]) & (truth[:n] <= q95[:n]) + return 100.0 * float(np.mean(covered)) +``` + +## Step 1: Everything Fixed at Truth + +In the first variant we pin the initial infection level and both ascertainment rates at their data-generating values. +The only free latent quantities are the $\mathcal{R}(t)$ trajectory and the two negative-binomial concentration parameters. +This fit shows the model can reproduce the data when the link from infections to clinical signals is fully known. + +```{python} +#| label: step1-components +#| code-fold: false + +I0_rv = DeterministicVariable("I0", true_i0) +ihr_rv = DeterministicVariable("ihr", true_ihr) +iedr_rv = DeterministicVariable("iedr", true_iedr) + +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ihr_rv, + delay_distribution_rv=hosp_delay_rv, + noise=NegativeBinomialNoise(hosp_concentration_rv), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) + +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=iedr_rv, + delay_distribution_rv=ed_delay_rv, + noise=NegativeBinomialNoise(ed_concentration_rv), + day_of_week_rv=ed_day_of_week_rv, +) +``` + +We pass the components to the builder. +Because both ascertainment rates are scalar deterministic values rather than a shared joint object, we attach them directly to the observation processes and do not call `add_ascertainment`. + +```{python} +#| label: step1-build +#| code-fold: false + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model_step1 = builder.build() +n_init = model_step1.latent.n_initialization_points +print(f"Initialization points: {n_init}") +print(f"Observations: {list(model_step1.observations)}") +``` + +Hospital observations are weekly MMWR totals, so we pad them on the hospital observation process's weekly cadence. +Daily ED observations are padded with `pad_observations`. +The padding fills the initialization period with `NaN` so the renewal process has room to warm up before any data is conditioned on. + +```{python} +#| label: step1-prepare-data +#| code-fold: false + +ed_observed = model_step1.pad_observations( + jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) +) + +hospital_observed = model_step1.pad_aggregated_observations( + jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, +) + +print(f"ED observation array shape: {ed_observed.shape}") +print(f"Hospital observation array shape: {hospital_observed.shape}") +``` + +Now we run MCMC. + +```{python} +#| label: step1-fit +#| code-fold: false + +jax.clear_caches() + +start_time = time.time() +model_step1.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples_step1 = model_step1.mcmc.get_samples() +jax.block_until_ready(samples_step1) +elapsed_step1 = time.time() - start_time +print(f"Elapsed time: {elapsed_step1:.1f} seconds") +``` + +We label the time dimension on the dynamic posterior quantities so we can trim the initialization period before summarizing. + +```{python} +#| label: step1-arviz +#| code-fold: false + +idata_step1 = az.from_numpyro( + model_step1.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_step1_trimmed = trim_init(idata_step1, n_init) + +summary_step1 = az.summary( + idata_step1_trimmed, + var_names=["log_rt_time_0", "hosp_conc", "ed_conc"], +) +summary_step1 +``` + +The remaining scalars should mix cleanly. +A coverage check on the latent infection trajectory tells us whether the posterior interval captures the data-generating truth. + +```{python} +#| label: step1-coverage +#| code-fold: false + +latent_inf_step1 = idata_step1_trimmed.posterior["latent_infections"] +inf_q05_step1 = latent_inf_step1.quantile(0.05, dim=["chain", "draw"]).values +inf_q50_step1 = latent_inf_step1.quantile(0.50, dim=["chain", "draw"]).values +inf_q95_step1 = latent_inf_step1.quantile(0.95, dim=["chain", "draw"]).values + +true_infections = daily_infections["true_infections"].to_numpy() +print( + f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step1, inf_q95_step1):.1f}%" +) + +rhat = summary_step1["r_hat"].astype(float) +print(f"Max R-hat (free scalars): {rhat.max():.3f}") +``` + +A plot of the posterior latent infections against the data-generating truth provides a visual check. + +```{python} +#| label: step1-fig +#| fig-cap: Step 1 - posterior latent infections with everything other than +#| $\mathcal{R}(t)$ fixed at truth. + +n_compare = min(len(true_infections), len(inf_q50_step1)) + +plot_df_step1 = pd.DataFrame( + { + "day": np.arange(n_compare), + "median": inf_q50_step1[:n_compare], + "q05": inf_q05_step1[:n_compare], + "q95": inf_q95_step1[:n_compare], + "truth": true_infections[:n_compare], + } +) + +( + p9.ggplot(plot_df_step1, p9.aes(x="day")) + + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Step 1: posterior latent infections vs. truth", + ) + + theme_tutorial +) +``` + +With both ascertainment rates and $I_0$ pinned, the posterior on the latent infection trajectory should track the data-generating truth. +This step does not yet say anything about what the data alone can resolve; it shows the model can reproduce the data when the link to infections is fully specified. +The next steps relax pieces of this link one at a time. + +## Step 2: Free $I_0$, Ascertainment Still Fixed + +In Step 2 we relax the initial infection level. +Both ascertainment rates stay pinned at their data-generating values. +The question is what the data can tell us about $I_0$ when the link from infections to clinical signals is fully specified. + +We use the same prior for $I_0$ that the pyrenew-multisignal production model uses, a `Beta(1, 10)`. +This prior has mode 0 and a 90% prior interval of roughly [0.005, 0.26], so it places its mass at initial-infection levels appropriate for a typical respiratory virus in season. +The data-generating value (0.0005 per capita) sits in the left tail of the prior, which means any pull toward truth in the posterior comes from the data and not from a prior centered at the answer. + +```{python} +#| label: step2-i0-prior +#| code-fold: false + +I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) +``` + +The observation processes are unchanged from Step 1. +We rebuild the model with the new $I_0$ prior. + +```{python} +#| label: step2-build +#| code-fold: false + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model_step2 = builder.build() +print(f"Initialization points: {model_step2.latent.n_initialization_points}") +``` + +The padded observations from Step 1 can be reused: the model structure is the same, so the initialization period has the same length. + +```{python} +#| label: step2-fit +#| code-fold: false + +jax.clear_caches() + +start_time = time.time() +model_step2.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples_step2 = model_step2.mcmc.get_samples() +jax.block_until_ready(samples_step2) +elapsed_step2 = time.time() - start_time +print(f"Elapsed time: {elapsed_step2:.1f} seconds") +``` + +We summarize the free scalars and check coverage of the latent infection trajectory. + +```{python} +#| label: step2-arviz +#| code-fold: false + +idata_step2 = az.from_numpyro( + model_step2.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_step2_trimmed = trim_init(idata_step2, n_init) + +summary_step2 = az.summary( + idata_step2_trimmed, + var_names=["I0", "log_rt_time_0", "hosp_conc", "ed_conc"], +) +summary_step2 +``` + +```{python} +#| label: step2-coverage +#| code-fold: false + +latent_inf_step2 = idata_step2_trimmed.posterior["latent_infections"] +inf_q05_step2 = latent_inf_step2.quantile(0.05, dim=["chain", "draw"]).values +inf_q50_step2 = latent_inf_step2.quantile(0.50, dim=["chain", "draw"]).values +inf_q95_step2 = latent_inf_step2.quantile(0.95, dim=["chain", "draw"]).values + +i0_post = idata_step2_trimmed.posterior["I0"].values.ravel() +print(f"True I0 (per capita): {true_i0:.5f}") +print(f"I0 posterior median: {np.median(i0_post):.5f}") +print( + f"I0 posterior 90% interval: [{np.quantile(i0_post, 0.05):.5f}, {np.quantile(i0_post, 0.95):.5f}]" +) +print() +print( + f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step2, inf_q95_step2):.1f}%" +) + +rhat = summary_step2["r_hat"].astype(float) +print(f"Max R-hat (free scalars): {rhat.max():.3f}") +``` + +The posterior on $I_0$ ends up far from the data-generating value, even with both ascertainment rates pinned at truth. +At the same time, the latent infection trajectory remains well-covered. + +This is the data telling us that $I_0$ is not, on its own, what the observations are anchoring. +The renewal equation builds the infections at the start of observation from two ingredients: the initial infection level $I_0$ and the early $\mathcal{R}(t)$ trajectory. +The data anchor the level of infections at the start of observation, but they cannot separate the $I_0$ contribution from the initial-growth contribution. +A smaller $I_0$ paired with a faster initial growth rate produces the same observed trajectory as a larger $I_0$ paired with slower initial growth. + +The joint posterior on $I_0$ and the starting log $\mathcal{R}(t)$ makes this trade-off visible. + +```{python} +#| label: step2-joint-scatter +#| fig-cap: Step 2 - joint posterior of $I_0$ and starting log $\mathcal{R}(t)$. +#| The vertical line shows the data-generating $I_0$. + +logrt0_post = idata_step2_trimmed.posterior["log_rt_time_0"].values.ravel() + +joint_df = pd.DataFrame({"I0": i0_post, "log_rt_time_0": logrt0_post}) + +( + p9.ggplot(joint_df, p9.aes(x="I0", y="log_rt_time_0")) + + p9.geom_point(alpha=0.2, size=0.7) + + p9.geom_vline(xintercept=true_i0, color="black", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="$I_0$ per capita", + y="Starting log $\\mathcal{R}(t)$", + title="Step 2: joint posterior of $I_0$ and starting log $\\mathcal{R}(t)$", + ) + + theme_tutorial +) +``` + +The negative slope is exactly the trade-off described above: lower $I_0$ samples are paired with higher starting log $\mathcal{R}(t)$ samples. + +This is a generic feature of renewal models, not a quirk of this dataset. +The pyrenew-multisignal synthetic-data priors fix both $I_0$ and the initial $\mathcal{R}(t)$ at their data-generating values when generating synthetic data, precisely because the pair is hard to recover from H+E observations alone. +In a production fit on real data, both quantities are freely sampled, and the trade-off above is part of what the posterior is exploring. + +The prior-versus-posterior plot below confirms that the data has narrowed the $I_0$ posterior, but it has narrowed it onto a place that is not the data-generating value. +The data is informative about a combination of $I_0$ and the early $\mathcal{R}(t)$ trajectory; it is not informative about $I_0$ on its own. + +```{python} +#| label: step2-prior-posterior-fig +#| fig-cap: Step 2 - prior and posterior on $I_0$ per capita. The +#| data-generating value is shown as a vertical line. + +prior_i0 = np.random.beta(1.0, 10.0, size=4000) + +i0_density_df = pd.concat( + [ + pd.DataFrame({"I0": prior_i0, "source": "Prior Beta(1, 10)"}), + pd.DataFrame({"I0": i0_post, "source": "Posterior"}), + ], + ignore_index=True, +) + +( + p9.ggplot(i0_density_df, p9.aes(x="I0", fill="source")) + + p9.geom_density(alpha=0.45) + + p9.geom_vline(xintercept=true_i0, color="black", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="$I_0$ per capita", + y="Density", + fill="", + title="Step 2: prior vs. posterior on $I_0$", + ) + + theme_tutorial +) +``` + +Despite the $I_0$ posterior sitting far from truth, the latent infection trajectory covers the truth well. +This is the recurring pattern flagged in the overview: the model learns the trajectories the data record more reliably than the parameters that combine to produce those trajectories. +A fit can recover the latent infection trajectory well while individual parameters end up well away from their data-generating values. + +```{python} +#| label: step2-fig +#| fig-cap: Step 2 - posterior latent infections with $I_0$ free and +#| ascertainment fixed at truth. + +plot_df_step2 = pd.DataFrame( + { + "day": np.arange(n_compare), + "median": inf_q50_step2[:n_compare], + "q05": inf_q05_step2[:n_compare], + "q95": inf_q95_step2[:n_compare], + "truth": true_infections[:n_compare], + } +) + +( + p9.ggplot(plot_df_step2, p9.aes(x="day")) + + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Step 2: posterior latent infections vs. truth", + ) + + theme_tutorial +) +``` + +This is the most the data can tell us about $I_0$ on its own: not very much. +With both ascertainment rates pinned at truth, the data still cannot separate $I_0$ from the initial $\mathcal{R}(t)$ trajectory. +What the data anchor is the level of infections at the start of observation, which is a combination of $I_0$ and the early growth rate. + +Step 3 reverses the experiment. +$I_0$ goes back to the data-generating value, and the two ascertainment rates are freed instead. + +## Step 3: Free Ascertainment, $I_0$ Fixed at Truth + +In Step 3 the initial infection level is pinned back at its data-generating value, and the two ascertainment rates are released. +The question is what the data tell us about IHR and IEDR when the level of latent infections is anchored. + +We use the same production-style prior for both rates: a logit-Normal centered at 0.005 with a standard deviation of 0.3 on the logit scale. +This is the pyrenew-multisignal default prior on its ascertainment rates. +It is centered exactly at the data-generating IHR (0.005), and the data-generating IEDR (0.0075) sits at about $1.4$ prior standard deviations above the center. +Centering both priors at the same value is a reasonable default: an applied epidemiologist who does not know in advance which clinical signal has a higher infection-to-event rate would place the same broad prior on both. + +```{python} +#| label: step3-priors +#| code-fold: false + +I0_rv = DeterministicVariable("I0", true_i0) + +ihr_rv = TransformedVariable( + name="ihr", + base_rv=DistributionalVariable( + name="logit_ihr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), +) + +iedr_rv = TransformedVariable( + name="iedr", + base_rv=DistributionalVariable( + name="logit_iedr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), +) +``` + +The two ascertainment rates are now random variables, so we rebuild the hospital and ED observation processes with the new accessors. +Everything else in the observation processes is unchanged. + +```{python} +#| label: step3-obs +#| code-fold: false + +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ihr_rv, + delay_distribution_rv=hosp_delay_rv, + noise=NegativeBinomialNoise(hosp_concentration_rv), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) + +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=iedr_rv, + delay_distribution_rv=ed_delay_rv, + noise=NegativeBinomialNoise(ed_concentration_rv), + day_of_week_rv=ed_day_of_week_rv, +) +``` + +We configure the builder and build the model. + +```{python} +#| label: step3-build +#| code-fold: false + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model_step3 = builder.build() +print(f"Initialization points: {model_step3.latent.n_initialization_points}") +``` + +```{python} +#| label: step3-fit +#| code-fold: false + +jax.clear_caches() + +start_time = time.time() +model_step3.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples_step3 = model_step3.mcmc.get_samples() +jax.block_until_ready(samples_step3) +elapsed_step3 = time.time() - start_time +print(f"Elapsed time: {elapsed_step3:.1f} seconds") +``` + +We summarize the free scalars and compare the IHR, IEDR, and ratio posteriors against truth. + +```{python} +#| label: step3-arviz +#| code-fold: false + +idata_step3 = az.from_numpyro( + model_step3.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_step3_trimmed = trim_init(idata_step3, n_init) +idata_step3_trimmed.posterior["ihr"] = 1.0 / ( + 1.0 + np.exp(-idata_step3_trimmed.posterior["logit_ihr"]) +) +idata_step3_trimmed.posterior["iedr"] = 1.0 / ( + 1.0 + np.exp(-idata_step3_trimmed.posterior["logit_iedr"]) +) + +summary_step3 = az.summary( + idata_step3_trimmed, + var_names=["ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], +) +summary_step3 +``` + +```{python} +#| label: step3-recovery +#| code-fold: false + +ihr_post = idata_step3_trimmed.posterior["ihr"].values.ravel() +iedr_post = idata_step3_trimmed.posterior["iedr"].values.ravel() +ratio_post = ihr_post / iedr_post + + +def summarize(name, samples, truth): + """ + Print a one-line comparison of a posterior to its data-generating value. + + Parameters + ---------- + name + Label printed at the start of the line. + samples + Flat array of posterior samples. + truth + Data-generating value to compare against. + """ + q05, q50, q95 = np.quantile(samples, [0.05, 0.50, 0.95]) + print( + f" {name:<12} truth = {truth:.5f} posterior median = {q50:.5f} 90% interval = [{q05:.5f}, {q95:.5f}]" + ) + + +print("Ascertainment recovery:") +summarize("IHR", ihr_post, true_ihr) +summarize("IEDR", iedr_post, true_iedr) +summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) +``` + +```{python} +#| label: step3-coverage +#| code-fold: false + +latent_inf_step3 = idata_step3_trimmed.posterior["latent_infections"] +inf_q05_step3 = latent_inf_step3.quantile(0.05, dim=["chain", "draw"]).values +inf_q50_step3 = latent_inf_step3.quantile(0.50, dim=["chain", "draw"]).values +inf_q95_step3 = latent_inf_step3.quantile(0.95, dim=["chain", "draw"]).values + +print( + f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step3, inf_q95_step3):.1f}%" +) + +rhat = summary_step3["r_hat"].astype(float) +print(f"Max R-hat (free scalars): {rhat.max():.3f}") +``` + +The prior-versus-posterior comparison shows how much the data narrowed each ascertainment rate. + +```{python} +#| label: step3-prior-posterior-fig +#| fig-cap: Step 3 - prior and posterior densities for the two ascertainment +#| rates. The vertical lines mark the data-generating values. + +prior_logit_asc = np.random.normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + size=4000, +) +prior_asc = 1.0 / (1.0 + np.exp(-prior_logit_asc)) + +asc_density_df = pd.concat( + [ + pd.DataFrame({"rate": prior_asc, "signal": "IHR", "source": "Prior"}), + pd.DataFrame({"rate": ihr_post, "signal": "IHR", "source": "Posterior"}), + pd.DataFrame({"rate": prior_asc, "signal": "IEDR", "source": "Prior"}), + pd.DataFrame({"rate": iedr_post, "signal": "IEDR", "source": "Posterior"}), + ], + ignore_index=True, +) +truth_df = pd.DataFrame({"signal": ["IHR", "IEDR"], "truth": [true_ihr, true_iedr]}) + +( + p9.ggplot(asc_density_df, p9.aes(x="rate", fill="source")) + + p9.geom_density(alpha=0.45) + + p9.geom_vline( + data=truth_df, + mapping=p9.aes(xintercept="truth"), + color="black", + linetype="dashed", + ) + + p9.facet_wrap("~signal", scales="free") + + p9.scale_x_log10() + + p9.labs( + x="Ascertainment rate", + y="Density", + fill="", + title="Step 3: prior vs. posterior on IHR and IEDR", + ) + + theme_tutorial +) +``` + +The joint posterior of IHR and IEDR shows the strongly-identified ratio and the residual play in the absolute scale. + +```{python} +#| label: step3-joint-scatter +#| fig-cap: Step 3 - joint posterior of IHR and IEDR. The red point marks the +#| data-generating values. + +joint_asc_df = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) +truth_point = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) + +( + p9.ggplot(joint_asc_df, p9.aes(x="IHR", y="IEDR")) + + p9.geom_point(alpha=0.2, size=0.7) + + p9.geom_point(data=truth_point, color="red", size=3) + + p9.scale_x_log10() + + p9.scale_y_log10() + + p9.labs( + x="IHR", + y="IEDR", + title="Step 3: joint posterior of IHR and IEDR", + ) + + theme_tutorial +) +``` + +The latent infection trajectory is recovered as well as in earlier steps. + +```{python} +#| label: step3-fig +#| fig-cap: Step 3 - posterior latent infections with ascertainment free and +#| $I_0$ fixed at truth. + +plot_df_step3 = pd.DataFrame( + { + "day": np.arange(n_compare), + "median": inf_q50_step3[:n_compare], + "q05": inf_q05_step3[:n_compare], + "q95": inf_q95_step3[:n_compare], + "truth": true_infections[:n_compare], + } +) + +( + p9.ggplot(plot_df_step3, p9.aes(x="day")) + + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Step 3: posterior latent infections vs. truth", + ) + + theme_tutorial +) +``` + +With $I_0$ fixed at truth, the ratio IHR/IEDR is sharply identified by the relative magnitudes of the two observation signals: the posterior median (0.667) matches the data-generating value almost exactly. +The individual ascertainment rates are also constrained, with their 90% intervals covering truth, but the posterior medians sit below the data-generating values and the marginal posteriors are several times wider than the ratio posterior in relative terms. + +The data are most sharply informative about the ratio. +The absolute scale of each ascertainment rate has additional posterior play that the prior, centered at logit(0.005), helps to anchor. +This is consistent with the trajectory-versus-parameter pattern flagged in the overview: the latent infection trajectory is recovered well, while the individual parameters that combine to produce it have wider posteriors than parameter recovery alone would suggest. + +Step 4 frees everything at once. +$I_0$, IHR, and IEDR are all independent random variables. +The ratio should remain identified, but the absolute scale will have more posterior play than in Step 3. + +## Step 4: Free Everything + +In Step 4 we release the initial infection level alongside the two ascertainment rates. +All three quantities are now random variables with the production-style priors used in the earlier steps: `Beta(1, 10)` on $I_0$, and a logit-Normal centered at 0.005 with standard deviation 0.3 on the logit scale for each ascertainment rate. + +This is the picture an applied user gets with no outside information: the model is asked to recover all three quantities from the joint hospital admissions and ED visits time series alone. + +```{python} +#| label: step4-priors +#| code-fold: false + +I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) + +ihr_rv = TransformedVariable( + name="ihr", + base_rv=DistributionalVariable( + name="logit_ihr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), +) + +iedr_rv = TransformedVariable( + name="iedr", + base_rv=DistributionalVariable( + name="logit_iedr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), +) + +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ihr_rv, + delay_distribution_rv=hosp_delay_rv, + noise=NegativeBinomialNoise(hosp_concentration_rv), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) + +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=iedr_rv, + delay_distribution_rv=ed_delay_rv, + noise=NegativeBinomialNoise(ed_concentration_rv), + day_of_week_rv=ed_day_of_week_rv, +) +``` + +```{python} +#| label: step4-build +#| code-fold: false + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model_step4 = builder.build() +print(f"Initialization points: {model_step4.latent.n_initialization_points}") +``` + +```{python} +#| label: step4-fit +#| code-fold: false + +jax.clear_caches() + +start_time = time.time() +model_step4.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples_step4 = model_step4.mcmc.get_samples() +jax.block_until_ready(samples_step4) +elapsed_step4 = time.time() - start_time +print(f"Elapsed time: {elapsed_step4:.1f} seconds") +``` + +```{python} +#| label: step4-arviz +#| code-fold: false + +idata_step4 = az.from_numpyro( + model_step4.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_step4_trimmed = trim_init(idata_step4, n_init) +idata_step4_trimmed.posterior["ihr"] = 1.0 / ( + 1.0 + np.exp(-idata_step4_trimmed.posterior["logit_ihr"]) +) +idata_step4_trimmed.posterior["iedr"] = 1.0 / ( + 1.0 + np.exp(-idata_step4_trimmed.posterior["logit_iedr"]) +) + +summary_step4 = az.summary( + idata_step4_trimmed, + var_names=["I0", "ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], +) +summary_step4 +``` + +```{python} +#| label: step4-recovery +#| code-fold: false + +i0_post = idata_step4_trimmed.posterior["I0"].values.ravel() +ihr_post = idata_step4_trimmed.posterior["ihr"].values.ravel() +iedr_post = idata_step4_trimmed.posterior["iedr"].values.ravel() +ratio_post = ihr_post / iedr_post + +print("Posterior recovery:") +summarize("I0", i0_post, true_i0) +summarize("IHR", ihr_post, true_ihr) +summarize("IEDR", iedr_post, true_iedr) +summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) +``` + +```{python} +#| label: step4-coverage +#| code-fold: false + +latent_inf_step4 = idata_step4_trimmed.posterior["latent_infections"] +inf_q05_step4 = latent_inf_step4.quantile(0.05, dim=["chain", "draw"]).values +inf_q50_step4 = latent_inf_step4.quantile(0.50, dim=["chain", "draw"]).values +inf_q95_step4 = latent_inf_step4.quantile(0.95, dim=["chain", "draw"]).values + +print( + f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step4, inf_q95_step4):.1f}%" +) + +rhat = summary_step4["r_hat"].astype(float) +print(f"Max R-hat (free scalars): {rhat.max():.3f}") +``` + +The joint scatter of $I_0$ and IHR shows where the $I_0$ posterior has gone. +Its mass is spread across several orders of magnitude (note the log scale on the horizontal axis), but the IHR posterior occupies a much narrower band. +The two are largely uncorrelated. +This is the trade-off from Step 2: $I_0$ trades off with the early $\mathcal{R}(t)$ trajectory in the renewal process, not with the ascertainment rates. + +```{python} +#| label: step4-joint-i0-ihr +#| fig-cap: Step 4 - joint posterior of $I_0$ and IHR. The red point marks the +#| data-generating values. + +joint_i0_ihr_df = pd.DataFrame({"I0": i0_post, "IHR": ihr_post}) +truth_point_i0_ihr = pd.DataFrame({"I0": [true_i0], "IHR": [true_ihr]}) + +( + p9.ggplot(joint_i0_ihr_df, p9.aes(x="I0", y="IHR")) + + p9.geom_point(alpha=0.2, size=0.7) + + p9.geom_point(data=truth_point_i0_ihr, color="red", size=3) + + p9.scale_x_log10() + + p9.scale_y_log10() + + p9.labs( + x="$I_0$", + y="IHR", + title="Step 4: joint posterior of $I_0$ and IHR", + ) + + theme_tutorial +) +``` + +The joint scatter of IHR and IEDR shows what the data still identify cleanly: the ratio. +The cloud sits along a tight ridge whose slope corresponds to the data-generating ratio of approximately 0.67. + +```{python} +#| label: step4-joint-ihr-iedr +#| fig-cap: Step 4 - joint posterior of IHR and IEDR. The red point marks the +#| data-generating values. + +joint_asc_df_step4 = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) +truth_point_asc = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) + +( + p9.ggplot(joint_asc_df_step4, p9.aes(x="IHR", y="IEDR")) + + p9.geom_point(alpha=0.2, size=0.7) + + p9.geom_point(data=truth_point_asc, color="red", size=3) + + p9.scale_x_log10() + + p9.scale_y_log10() + + p9.labs( + x="IHR", + y="IEDR", + title="Step 4: joint posterior of IHR and IEDR", + ) + + theme_tutorial +) +``` + +The ratio posterior, compared to its prior, shows the data anchoring the ratio sharply even when neither rate is anchored on its own. + +```{python} +#| label: step4-ratio-prior-posterior +#| fig-cap: Step 4 - prior and posterior on the ratio IHR / IEDR. The vertical +#| line marks the data-generating value. + +prior_logit_asc_a = np.random.normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + size=4000, +) +prior_logit_asc_b = np.random.normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + size=4000, +) +prior_ihr = 1.0 / (1.0 + np.exp(-prior_logit_asc_a)) +prior_iedr = 1.0 / (1.0 + np.exp(-prior_logit_asc_b)) +prior_ratio = prior_ihr / prior_iedr + +ratio_density_df = pd.concat( + [ + pd.DataFrame({"ratio": prior_ratio, "source": "Prior"}), + pd.DataFrame({"ratio": ratio_post, "source": "Posterior"}), + ], + ignore_index=True, +) + +( + p9.ggplot(ratio_density_df, p9.aes(x="ratio", fill="source")) + + p9.geom_density(alpha=0.45) + + p9.geom_vline(xintercept=true_ihr / true_iedr, color="black", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="IHR / IEDR", + y="Density", + fill="", + title="Step 4: prior vs. posterior on IHR / IEDR", + ) + + theme_tutorial +) +``` + +The latent infection trajectory is recovered despite the wider posterior on the individual parameters. + +```{python} +#| label: step4-fig +#| fig-cap: Step 4 - posterior latent infections with $I_0$ and both +#| ascertainment rates free. + +plot_df_step4 = pd.DataFrame( + { + "day": np.arange(n_compare), + "median": inf_q50_step4[:n_compare], + "q05": inf_q05_step4[:n_compare], + "q95": inf_q95_step4[:n_compare], + "truth": true_infections[:n_compare], + } +) + +( + p9.ggplot(plot_df_step4, p9.aes(x="day")) + + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Step 4: posterior latent infections vs. truth", + ) + + theme_tutorial +) +``` + +With every absolute-scale parameter free, the data identify the ratio IHR / IEDR sharply and identify the latent infection trajectory. +What remains weakly constrained is split between two places: + +- $I_0$ is widely spread (orders of magnitude), absorbed into the same trade-off with the early $\mathcal{R}(t)$ growth that we saw in Step 2. +- The two ascertainment rates inherit the residual play seen in Step 3: their absolute level is anchored mostly by the prior centered at logit(0.005), and the 90% intervals cover truth at the upper edge. + +The joint scatters make these directions visible. +The $I_0$ axis is essentially unanchored by the data; the constant-ratio direction on the ascertainment plane is the one the data resolve. + +This is the picture an applied user fitting H+E alone should expect. +The data tell us a great deal about transmission dynamics through $\mathcal{R}(t)$ and about the relative magnitudes of the two clinical signals, but they cannot pin down the absolute level of infections in the population from these signals alone. + +Step 5 introduces a structural change: the two ascertainment rates are linked, with IHR expressed as a multiple of IEDR. +That is the parameterization the pyrenew-multisignal production model uses when fitting hospital admissions and ED visits jointly. + +## Step 5: Linked Ascertainment Rates + +Step 5 changes how the two ascertainment rates are expressed. +Rather than sampling IHR and IEDR independently, we sample IEDR and a multiplier, with IHR computed as their product. + +This is a structural statement: hospital admissions and ED visits are not two unrelated clinical signals. +A hospitalization is, in practice, a fraction of severe-enough ED visits, so we expect IHR and IEDR to be within a small multiple of each other. +The pyrenew-multisignal production model uses exactly this parameterization, with a prior that places equal-rate at the mode and a 90% prior range of roughly $[0.5\times, 2\times]$. + +### The `RatioLinkedAscertainment` Component + +We define a small `AscertainmentModel` subclass inline. +It samples a base rate and a multiplier, computes the linked rate as their product, and exposes both to observation processes through the standard `for_signal` accessor. + +```{python} +#| label: step5-class +#| code-fold: false + +from collections.abc import Mapping +from jax.typing import ArrayLike + + +class RatioLinkedAscertainment(AscertainmentModel): + """ + Two ascertainment rates expressed as a base rate and a multiplicative ratio. + + The base signal's rate is sampled from ``base_rate_rv``. + The linked signal's rate is the base rate multiplied by a value sampled + from ``ratio_rv``. + """ + + def __init__( + self, + name: str, + base_signal: str, + linked_signal: str, + base_rate_rv: RandomVariable, + ratio_rv: RandomVariable, + ) -> None: + """ + Initialize a ratio-linked ascertainment model. + + Parameters + ---------- + name + Name of the ascertainment model. + base_signal + Name of the signal whose rate serves as the base of the link. + linked_signal + Name of the signal whose rate is the base rate times the ratio. + base_rate_rv + RandomVariable producing the scalar base rate. + ratio_rv + RandomVariable producing the scalar multiplier applied to the + base rate. + """ + super().__init__(name=name, signals=(base_signal, linked_signal)) + self.base_signal = base_signal + self.linked_signal = linked_signal + self.base_rate_rv = base_rate_rv + self.ratio_rv = ratio_rv + + def sample(self, **kwargs: object) -> Mapping[str, ArrayLike]: + """ + Sample the base rate and the ratio; compute the linked rate. + + Returns + ------- + Mapping[str, ArrayLike] + Mapping from signal name to sampled scalar ascertainment rate. + """ + base_rate = self.base_rate_rv() + ratio = self.ratio_rv() + linked_rate = base_rate * ratio + numpyro.deterministic(f"{self.name}_{self.base_signal}", base_rate) + numpyro.deterministic(f"{self.name}_{self.linked_signal}", linked_rate) + return {self.base_signal: base_rate, self.linked_signal: linked_rate} +``` + +The class follows the same registration pattern as `JointAscertainment`: it can be passed to `builder.add_ascertainment(...)`, and observation processes receive their rates through `for_signal(...)`. + +### Priors and Model + +We use the production-style priors. +$I_0$ is `Beta(1, 10)`. +IEDR is a logit-Normal centered at 0.005 with standard deviation 0.3 on the logit scale. +The IHR-to-IEDR multiplier is `LogNormal(0, log(√2))`, which places the mode at equal rates and a 90% prior range of about $[0.5, 2.0]$. + +```{python} +#| label: step5-priors +#| code-fold: false + +I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) + +iedr_rv = TransformedVariable( + name="iedr", + base_rv=DistributionalVariable( + name="logit_iedr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.005), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), +) + +ratio_rv = DistributionalVariable( + "ihr_rel_iedr", + dist.LogNormal(0.0, jnp.log(jnp.sqrt(2.0))), +) + +ascertainment = RatioLinkedAscertainment( + name="he_ascertainment", + base_signal="ed_visits", + linked_signal="hospital", + base_rate_rv=iedr_rv, + ratio_rv=ratio_rv, +) +``` + +The observation processes are rebuilt with `ascertainment.for_signal(...)`. + +```{python} +#| label: step5-obs +#| code-fold: false + +hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ascertainment.for_signal("hospital"), + delay_distribution_rv=hosp_delay_rv, + noise=NegativeBinomialNoise(hosp_concentration_rv), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) + +ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), + delay_distribution_rv=ed_delay_rv, + noise=NegativeBinomialNoise(ed_concentration_rv), + day_of_week_rv=ed_day_of_week_rv, +) +``` + +```{python} +#| label: step5-build +#| code-fold: false + +builder = PyrenewBuilder() +builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, +) +builder.add_ascertainment(ascertainment) +builder.add_observation(hospital_obs) +builder.add_observation(ed_obs) + +model_step5 = builder.build() +print(f"Initialization points: {model_step5.latent.n_initialization_points}") +``` + +```{python} +#| label: step5-fit +#| code-fold: false + +jax.clear_caches() + +start_time = time.time() +model_step5.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": False}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, +) +samples_step5 = model_step5.mcmc.get_samples() +jax.block_until_ready(samples_step5) +elapsed_step5 = time.time() - start_time +print(f"Elapsed time: {elapsed_step5:.1f} seconds") +``` + +```{python} +#| label: step5-arviz +#| code-fold: false + +idata_step5 = az.from_numpyro( + model_step5.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, +) +idata_step5_trimmed = trim_init(idata_step5, n_init) + +summary_step5 = az.summary( + idata_step5_trimmed, + var_names=[ + "I0", + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "ihr_rel_iedr", + "log_rt_time_0", + "hosp_conc", + "ed_conc", + ], +) +summary_step5 +``` + +```{python} +#| label: step5-recovery +#| code-fold: false + +i0_post = idata_step5_trimmed.posterior["I0"].values.ravel() +iedr_post = idata_step5_trimmed.posterior["he_ascertainment_ed_visits"].values.ravel() +ihr_post = idata_step5_trimmed.posterior["he_ascertainment_hospital"].values.ravel() +ratio_post = idata_step5_trimmed.posterior["ihr_rel_iedr"].values.ravel() + +print("Posterior recovery:") +summarize("I0", i0_post, true_i0) +summarize("IEDR (base)", iedr_post, true_iedr) +summarize("IHR (linked)", ihr_post, true_ihr) +summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) +``` + +```{python} +#| label: step5-coverage +#| code-fold: false + +latent_inf_step5 = idata_step5_trimmed.posterior["latent_infections"] +inf_q05_step5 = latent_inf_step5.quantile(0.05, dim=["chain", "draw"]).values +inf_q50_step5 = latent_inf_step5.quantile(0.50, dim=["chain", "draw"]).values +inf_q95_step5 = latent_inf_step5.quantile(0.95, dim=["chain", "draw"]).values + +print( + f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step5, inf_q95_step5):.1f}%" +) + +rhat = summary_step5["r_hat"].astype(float) +print(f"Max R-hat (free scalars): {rhat.max():.3f}") +``` + +The ratio is now a parameter the model samples directly. +Its prior is `LogNormal(0, log(√2))`; comparing prior and posterior shows how much the data has narrowed it. + +```{python} +#| label: step5-ratio-prior-posterior +#| fig-cap: Step 5 - prior and posterior on the IHR / IEDR multiplier. The +#| vertical line marks the data-generating ratio. + +prior_ratio_step5 = np.random.lognormal( + mean=0.0, + sigma=float(jnp.log(jnp.sqrt(2.0))), + size=4000, +) + +ratio_density_df_step5 = pd.concat( + [ + pd.DataFrame({"ratio": prior_ratio_step5, "source": "Prior"}), + pd.DataFrame({"ratio": ratio_post, "source": "Posterior"}), + ], + ignore_index=True, +) + +( + p9.ggplot(ratio_density_df_step5, p9.aes(x="ratio", fill="source")) + + p9.geom_density(alpha=0.45) + + p9.geom_vline(xintercept=true_ihr / true_iedr, color="black", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="IHR / IEDR", + y="Density", + fill="", + title="Step 5: prior vs. posterior on the IHR / IEDR multiplier", + ) + + theme_tutorial +) +``` + +The joint posterior of IHR and IEDR has the same ridge shape as in Step 4 (along the constant-ratio direction), but it sits at a slightly different location along that ridge. +The structural difference is that in Step 4 the ridge emerged from two independent rates whose data-driven correlation was only through the ratio; in Step 5 the ratio is sampled directly. + +```{python} +#| label: step5-joint-ihr-iedr +#| fig-cap: Step 5 - joint posterior of IHR (linked) and IEDR (base). The red +#| point marks the data-generating values. + +joint_asc_df_step5 = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) +truth_point_asc_step5 = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) + +( + p9.ggplot(joint_asc_df_step5, p9.aes(x="IHR", y="IEDR")) + + p9.geom_point(alpha=0.2, size=0.7) + + p9.geom_point(data=truth_point_asc_step5, color="red", size=3) + + p9.scale_x_log10() + + p9.scale_y_log10() + + p9.labs( + x="IHR (linked)", + y="IEDR (base)", + title="Step 5: joint posterior of IHR and IEDR", + ) + + theme_tutorial +) +``` + +The latent infection trajectory is recovered as in earlier steps. + +```{python} +#| label: step5-fig +#| fig-cap: Step 5 - posterior latent infections with the ratio-linked +#| ascertainment. + +plot_df_step5 = pd.DataFrame( + { + "day": np.arange(n_compare), + "median": inf_q50_step5[:n_compare], + "q05": inf_q05_step5[:n_compare], + "q95": inf_q95_step5[:n_compare], + "truth": true_infections[:n_compare], + } +) + +( + p9.ggplot(plot_df_step5, p9.aes(x="day")) + + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Step 5: posterior latent infections vs. truth", + ) + + theme_tutorial +) +``` + +The linked parameterization expresses the production model's structural assumption: hospital admissions and ED visits share a clinical pathway, with the hospital rate a fraction of the ED rate. +The data still identify the ratio sharply, and the shape of the latent infection trajectory is recovered. + +Unlike Step 4, however, the absolute level of the inferred trajectory drifts noticeably above truth. +Both ascertainment-rate posteriors sit about 40% below their data-generating values, which forces the inferred latent infections to be about $1/0.6 \approx 1.6$ times higher than truth so that the predicted counts still match the observations. +This is the same trade-off ridge from Step 4; the priors select a different point on the ridge. +In Step 4, both ascertainment rates had logit-Normal priors centered at logit(0.005), and the posterior happened to settle near the data-generating absolute scale. +In Step 5, IEDR has the same prior but the multiplier prior has its mode at $1$ (equal rates), while the data-generating ratio is $0.667$. +The combination of "IEDR prior centered at $0.005$" and "ratio prior centered at equality" selects a point further from truth than the symmetric independent priors did. + +The lesson is not that one parameterization is better than the other. +Both express the same set of unanchored degrees of freedom. +When the data leaves a direction unanchored, the prior determines where on that direction the posterior sits. +The linked parameterization's value is in interpretability and in matching the production model, not in better recovery of absolute scale. +Anchoring the absolute level of latent infections requires external information beyond H+E data: a separate signal that ties infections to a known scale (such as wastewater), or an informative prior derived from outside data (serosurvey, prevalence nowcast). + +## Sampling Diagnostics Across Variants + +The five fits use the same MCMC settings (500 warmup, 500 samples, 4 chains). +Freeing more parameters or linking them through structural priors makes the model harder for NUTS to navigate, which shows up in elapsed time and in convergence diagnostics. + +We collect the wall-clock time, the maximum R-hat across the free scalar parameters, the minimum bulk and tail effective sample size, and the latent-infection coverage for each step. + +```{python} +#| label: fit-diagnostics +#| code-fold: false + +def fit_diagnostics( + idata: az.InferenceData, + elapsed: float, + scalar_vars: list[str], + truth: np.ndarray, +) -> dict[str, float]: + """ + Collect timing and convergence statistics for one fit. + + Parameters + ---------- + idata + Trimmed inference data for the fit. + elapsed + Wall-clock time for the run in seconds. + scalar_vars + Names of the scalar free parameters used for the R-hat and ESS summary. + truth + Data-generating latent infection trajectory for the coverage check. + + Returns + ------- + dict[str, float] + Mapping with elapsed time, max R-hat, min bulk ESS, min tail ESS, and + 90% interval coverage of the true infection trajectory. + """ + summary_table = az.summary(idata, var_names=scalar_vars) + rhat = summary_table["r_hat"].astype(float) + ess_bulk = summary_table["ess_bulk"].astype(float) + ess_tail = summary_table["ess_tail"].astype(float) + latent_inf = idata.posterior["latent_infections"] + q05 = latent_inf.quantile(0.05, dim=["chain", "draw"]).values + q95 = latent_inf.quantile(0.95, dim=["chain", "draw"]).values + return { + "Elapsed (s)": round(elapsed, 1), + "Max R-hat": round(float(rhat.max()), 3), + "Min bulk ESS": int(ess_bulk.min()), + "Min tail ESS": int(ess_tail.min()), + "Coverage (%)": round(coverage_pct(truth, q05, q95), 1), + } + + +diagnostics_df = pd.DataFrame( + [ + { + "Variant": "1: all fixed", + **fit_diagnostics( + idata_step1_trimmed, + elapsed_step1, + ["log_rt_time_0", "hosp_conc", "ed_conc"], + true_infections, + ), + }, + { + "Variant": "2: I0 free", + **fit_diagnostics( + idata_step2_trimmed, + elapsed_step2, + ["I0", "log_rt_time_0", "hosp_conc", "ed_conc"], + true_infections, + ), + }, + { + "Variant": "3: ascertainment free", + **fit_diagnostics( + idata_step3_trimmed, + elapsed_step3, + ["ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], + true_infections, + ), + }, + { + "Variant": "4: all free, independent", + **fit_diagnostics( + idata_step4_trimmed, + elapsed_step4, + ["I0", "ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], + true_infections, + ), + }, + { + "Variant": "5: linked ascertainment", + **fit_diagnostics( + idata_step5_trimmed, + elapsed_step5, + [ + "I0", + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "ihr_rel_iedr", + "log_rt_time_0", + "hosp_conc", + "ed_conc", + ], + true_infections, + ), + }, + ] +) +diagnostics_df +``` + +Three patterns are worth noting: + +- **Elapsed time grows modestly with model complexity.** Freeing more parameters adds dimensions to the posterior NUTS has to navigate, but the renewal-equation evaluation dominates the per-iteration cost. + Across the five variants, the slowest fit is only $\sim 20\%$ longer than the fastest. + +- **Max R-hat is essentially flat across variants.** The chains mix similarly well in all five configurations. + The identifiability problems exposed in Steps 2, 4, and 5 are not convergence problems: NUTS is exploring the posterior we asked it to explore. + R-hat will not catch a misspecified-prior or weakly-identified-parameter problem; it only catches a sampler-not-mixing problem. + +- **Min ESS and coverage are the diagnostics that move.** Min bulk ESS drops sharply from Step 1 ($\sim 1100$) to Steps 2 through 5 ($\sim 300\text{--}380$): any free parameter that participates in a posterior trade-off direction reduces the effective sample size, because the sampler spends part of its budget moving along that direction. + Coverage of the latent infection trajectory tells a different story: it stays near the nominal 90% in Steps 1 through 4 but drops to 60% in Step 5, where the prior selects a point on the trade-off ridge far from the data-generating truth. + Together, these are the diagnostics that distinguish "the model fit something" from "the model recovered what we hoped". diff --git a/pyrenew/datasets/synthetic_hew_export.py b/pyrenew/datasets/synthetic_hew_export.py index 657cd747..073a33c2 100644 --- a/pyrenew/datasets/synthetic_hew_export.py +++ b/pyrenew/datasets/synthetic_hew_export.py @@ -10,6 +10,7 @@ import json import shutil +from collections.abc import Iterable from pathlib import Path from textwrap import dedent @@ -24,14 +25,18 @@ load_synthetic_weekly_hospital_admissions, ) - DEFAULT_RIGHT_TRUNCATION_PMF = [1.0] """Default PMF used when synthetic ED reports are treated as complete.""" -def _as_float_list(values) -> list[float]: +def _as_float_list(values: Iterable[float]) -> list[float]: """ Convert an array-like object to a JSON-serializable list of floats. + + Returns + ------- + list of float + Values converted to built-in Python floats. """ return [float(x) for x in values] @@ -43,6 +48,11 @@ def _lognormal_moment_match(pmf: list[float]) -> tuple[float, float]: The production HEW model expects a lognormal reference location and scale for the inferred hospital delay. The pipeline derives these from the delay PMF; here we use a moment-matching approximation over positive day indices. + + Returns + ------- + tuple of float + Moment-matched lognormal location and scale parameters. """ probs = np.asarray(pmf, dtype=float) probs = probs / probs.sum() @@ -67,6 +77,11 @@ def _default_priors_text() -> str: These priors are intended for synthetic-data smoke tests, not production forecasting. + + Returns + ------- + str + Python source code defining the default synthetic-data priors. """ return dedent( """ From 5b34f4133c2ef779591eb1a63f809dab0a2c1fe6 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 20:41:18 -0400 Subject: [PATCH 09/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 305 +++++++++++++++++- .../multisignal_hosp_ed_workflow.qmd | 2 + 2 files changed, 292 insertions(+), 15 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 7a42621d..f88f48a8 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -735,7 +735,7 @@ The expected pattern is: - `hospital_predicted` contains complete weekly hospital reporting periods only, so it can be one shorter than `log_rt_single_weekly`. - `ed_visits_predicted` is daily, matching the ED data. -### Fit the Model to Synthetic Data +### Fit pyrenew-H-E We now run MCMC on the synthetic hospital and ED observations. The model arguments are the same ones used in the trace check above. @@ -760,7 +760,8 @@ model.run( ) samples = model.mcmc.get_samples() jax.block_until_ready(samples) -print(f"Elapsed time: {time.time() - start_time:.1f} seconds") +pyrenew_elapsed = time.time() - start_time +print(f"Elapsed time: {pyrenew_elapsed:.1f} seconds") ``` We use ArviZ for a small convergence check and a synthetic-data recovery check. @@ -795,7 +796,7 @@ idata = az.from_numpyro( idata_trimmed = idata.map_over_datasets(trim_time) idata_trimmed.posterior["I0"] = 1 / (1 + np.exp(-idata_trimmed.posterior["logit_I0"])) -summary = az.summary( +pyrenew_parameter_summary = az.summary( idata_trimmed, var_names=[ "I0", @@ -804,10 +805,10 @@ summary = az.summary( "he_ascertainment_ed_visits", ], ) -summary +pyrenew_parameter_summary ``` -The model recovers the data-generating parameters. +The pyrenew-H-E model recovers the data-generating parameters. ```{python} print("Data-generating values we will try to recover:") @@ -822,7 +823,7 @@ Next we inspect the estimates for $\mathcal{R}(t)$. #| label: arviz-checks-recovered-rt rt_days = list(range(0, 126, 7)) -summary = az.summary( +pyrenew_rt_summary = az.summary( idata_trimmed, var_names=[ "PopulationInfections::rt_single", @@ -832,7 +833,7 @@ summary = az.summary( "dummy": [0], }, ) -summary +pyrenew_rt_summary ``` The synthetic data-generating program creates a true $\mathcal{R}(t)$ trajectory which has a falling, rising, falling cadence: @@ -918,8 +919,8 @@ This should be interpreted together with the interval widths: the median relativ ```{python} #| label: synthetic-recovery-check -rhat = summary["r_hat"].astype(float) -ess = summary["ess_bulk"].astype(float) +rhat = pyrenew_parameter_summary["r_hat"].astype(float) +ess = pyrenew_parameter_summary["ess_bulk"].astype(float) print(f"Max R-hat: {rhat.max():.3f}") print(f"Min bulk ESS: {ess.min():.0f}") @@ -1024,7 +1025,8 @@ This scales the 90% interval width by the posterior median, so the diagnostic is ```{python} #| label: fig-latent-infection-interval-width -#| fig-cap: Relative posterior interval width for latent infections over the +#| fig-cap: |- +#| Relative posterior interval width for latent infections over the #| synthetic H+E fit. inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( @@ -1088,20 +1090,21 @@ for row in period_summary_df.itertuples(index=False): ) ``` -### Optional: Run the Production HEW Model +### Fit prod-H-E The bundled synthetic H+E data can also be exported to the `model_dir` layout expected by the production HEW fitting code. -This is useful for development checks, but it requires local checkouts of `pyrenew-multisignal` and `cfa-stf-routine-forecasting`. -For that reason, this block is not evaluated when the tutorial is rendered. +This requires local checkouts of `pyrenew-multisignal` and `cfa-stf-routine-forecasting`. ```{python} -#| label: optional-run-production-hew +#| label: run-production-hew #| code-fold: false from pathlib import Path import sys import contextlib import io +import pickle +import runpy import time @@ -1147,7 +1150,8 @@ try: if hasattr(jax, "effects_barrier"): jax.effects_barrier() - print(f"Elapsed time: {time.time() - start_time:.1f} seconds") + production_elapsed = time.time() - start_time + print(f"Elapsed time: {production_elapsed:.1f} seconds") except Exception: print("fit_and_save_model failed. Last captured stdout:") @@ -1159,3 +1163,274 @@ except Exception: The exporter writes `priors.py`, `metadata.json`, `data/data_for_model_fit.json`, and `data/model_params.json`. The production fit writes posterior samples to `posterior_samples.pickle` inside the same `model_dir`. + +We can load that saved MCMC object into ArviZ and summarize the comparable scalar parameters. +In prod-H-E, the ED ascertainment is time-varying, so we summarize both the first-day IEDR and its posterior mean over time. + +```{python} +#| label: production-summary +#| code-fold: false + +with open(model_dir / "posterior_samples.pickle", "rb") as file: + production_mcmc = pickle.load(file) + +production_idata = az.from_dict( + { + "posterior": production_mcmc.get_samples(group_by_chain=True), + }, + sample_dims=["chain", "draw"], +) + +def get_posterior_variable(posterior, candidates): + for name in candidates: + if name in posterior.data_vars: + return posterior[name] + raise KeyError(f"Could not find any of {candidates} in production posterior.") + + +production_posterior = production_idata.posterior +production_ihr = get_posterior_variable(production_posterior, ["IHR", "ihr"]) +production_iedr = get_posterior_variable(production_posterior, ["IEDR", "iedr"]) +try: + production_i0_values = get_posterior_variable( + production_posterior, + ["I0", "i0_first_obs_n_rv", "i0_first_obs_n"], + ).values +except KeyError: + production_priors = runpy.run_path(str(model_dir / "priors.py")) + production_i0_value = float(production_priors["i0_first_obs_n_rv"]()) + production_i0_values = np.full_like(production_ihr.values, production_i0_value) + +iedr_non_sample_dims = [ + dim for dim in production_iedr.dims if dim not in ("chain", "draw") +] +if iedr_non_sample_dims: + production_iedr_first_day = production_iedr.isel( + {dim: 0 for dim in iedr_non_sample_dims} + ) + production_iedr_mean = production_iedr.mean(dim=iedr_non_sample_dims) +else: + production_iedr_first_day = production_iedr + production_iedr_mean = production_iedr + +production_scalar_idata = az.from_dict( + { + "posterior": { + "I0": production_i0_values, + "IHR": production_ihr.values, + "IEDR_first_day": production_iedr_first_day.values, + "IEDR_mean": production_iedr_mean.values, + } + }, + sample_dims=["chain", "draw"], +) + +production_parameter_summary = az.summary(production_scalar_idata) +production_parameter_summary +``` + +The two models parameterize some quantities differently, so this table compares only the closest scalar summaries. +For prod-H-E, ED ascertainment is time-varying; `IEDR_mean` is the posterior mean across that time-varying trajectory for each posterior draw. + +```{python} +#| label: inference-comparison + +inference_comparison = pd.DataFrame( + [ + { + "quantity": "I0", + "truth": true_i0, + "pyrenew-H-E median": float( + idata_trimmed.posterior["I0"].median(dim=["chain", "draw"]) + ), + "prod-H-E median": float( + production_scalar_idata.posterior["I0"].median(dim=["chain", "draw"]) + ), + }, + { + "quantity": "IHR", + "truth": true_ihr, + "pyrenew-H-E median": float( + idata_trimmed.posterior["he_ascertainment_hospital"].median( + dim=["chain", "draw"] + ) + ), + "prod-H-E median": float( + production_scalar_idata.posterior["IHR"].median(dim=["chain", "draw"]) + ), + }, + { + "quantity": "IEDR", + "truth": true_iedr, + "pyrenew-H-E median": float( + idata_trimmed.posterior["he_ascertainment_ed_visits"].median( + dim=["chain", "draw"] + ) + ), + "prod-H-E median": float( + production_scalar_idata.posterior["IEDR_mean"].median( + dim=["chain", "draw"] + ) + ), + }, + ] +) + +inference_comparison +``` + +### Runtime Comparison + +The two runtimes are comparable in this synthetic example. +They should not be interpreted as a formal benchmark because pyrenew-H-E and prod-H-E use different implementations, priors, time aggregation choices, and production-oriented components. +Both fits are relatively slow for a small synthetic data set because H+E observations alone leave some absolute-scale quantities weakly identified. + +```{python} +#| label: runtime-comparison +#| code-fold: false + +pd.DataFrame( + [ + {"model": "pyrenew-H-E", "elapsed_seconds": pyrenew_elapsed}, + {"model": "prod-H-E", "elapsed_seconds": production_elapsed}, + ] +) +``` + +### Identifiability Check + +The workflow tutorial explores this identifiability issue in more detail. +The short version is that H+E observations identify the latent trajectory and the relative magnitude of the two clinical signals better than they identify the absolute infection scale. +Here we compare the posterior distributions of the three absolute-scale quantities that matter most for H+E alone: $I_0$, IHR, and IEDR. +For prod-H-E, IEDR is time-varying, so we use `IEDR_mean` as a scalar summary for each posterior draw. + +```{python} +#| label: identifiability-scale-data + +pyrenew_i0 = idata_trimmed.posterior["I0"].values.ravel() +pyrenew_ihr = idata_trimmed.posterior["he_ascertainment_hospital"].values.ravel() +pyrenew_iedr = idata_trimmed.posterior["he_ascertainment_ed_visits"].values.ravel() + +prod_i0 = production_scalar_idata.posterior["I0"].values.ravel() +prod_ihr = production_scalar_idata.posterior["IHR"].values.ravel() +prod_iedr = production_scalar_idata.posterior["IEDR_mean"].values.ravel() + +scale_draws_df = pd.concat( + [ + pd.DataFrame( + { + "model": "pyrenew-H-E", + "I0": pyrenew_i0, + "IHR": pyrenew_ihr, + "IEDR": pyrenew_iedr, + "ratio": pyrenew_ihr / pyrenew_iedr, + } + ), + pd.DataFrame( + { + "model": "prod-H-E", + "I0": prod_i0, + "IHR": prod_ihr, + "IEDR": prod_iedr, + "ratio": prod_ihr / prod_iedr, + } + ), + ], + ignore_index=True, +) + +scale_density_df = scale_draws_df.melt( + id_vars="model", + value_vars=["I0", "IHR", "IEDR"], + var_name="quantity", + value_name="value", +) + +truth_scale_df = pd.DataFrame( + { + "quantity": ["I0", "IHR", "IEDR"], + "truth": [true_i0, true_ihr, true_iedr], + } +) +``` + +The marginal densities show how each model places posterior mass for the absolute-scale quantities. + +```{python} +#| label: identifiability-scale-densities +#| fig-cap: Posterior densities for $I_0$, IHR, and IEDR under pyrenew-H-E and +#| prod-H-E. Red dashed lines mark data-generating values. + +( + p9.ggplot(scale_density_df, p9.aes(x="value", fill="model", color="model")) + + p9.geom_density(alpha=0.35) + + p9.geom_vline( + truth_scale_df, + p9.aes(xintercept="truth"), + color="red", + linetype="dashed", + ) + + p9.facet_wrap("~quantity", scales="free") + + p9.scale_x_log10() + + p9.labs( + x="Value", + y="Density", + fill="Model", + color="Model", + title="Posterior Scale Parameters", + ) + + theme_tutorial +) +``` + +The joint posterior for IHR and IEDR shows how each model constrains the two clinical ascertainment rates together. +The red point marks the data-generating values. + +```{python} +#| label: identifiability-ihr-iedr +#| fig-cap: Joint posterior of hospital and ED ascertainment rates under both +#| models. + +truth_asc_df = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) + +( + p9.ggplot(scale_draws_df, p9.aes(x="IHR", y="IEDR", color="model")) + + p9.geom_point(alpha=0.16, size=0.7) + + p9.geom_point(data=truth_asc_df, color="red", size=3) + + p9.facet_wrap("~model") + + p9.scale_x_log10() + + p9.scale_y_log10() + + p9.labs( + x="Hospital ascertainment (IHR)", + y="ED ascertainment (IEDR)", + color="Model", + title="Hospital and ED Ascertainment Are Jointly Constrained", + ) + + theme_tutorial +) +``` + +The ratio is the most directly interpretable relative-scale quantity for the two clinical signals. + +```{python} +#| label: identifiability-ratio +#| fig-cap: Posterior distribution of the IHR / IEDR ratio under both models. + +( + p9.ggplot(scale_draws_df, p9.aes(x="ratio", fill="model", color="model")) + + p9.geom_density(alpha=0.35) + + p9.geom_vline(xintercept=true_ihr / true_iedr, color="red", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="IHR / IEDR", + y="Density", + fill="Model", + color="Model", + title="Relative Ascertainment Is Better Identified Than Absolute Scale", + ) + + theme_tutorial +) +``` + +These plots are diagnostic rather than corrective. +They show why external information matters: H+E data alone generally need either informative priors or another signal, such as wastewater or prevalence data, to anchor the absolute infection scale. diff --git a/docs/tutorials/multisignal_hosp_ed_workflow.qmd b/docs/tutorials/multisignal_hosp_ed_workflow.qmd index 264374d1..5e887fe2 100644 --- a/docs/tutorials/multisignal_hosp_ed_workflow.qmd +++ b/docs/tutorials/multisignal_hosp_ed_workflow.qmd @@ -4,6 +4,8 @@ format: gfm: code-fold: true engine: jupyter +execute: + eval: false jupyter: jupytext: text_representation: From 1ef420d37c9a6dc299be2c09ea940e81abfb371a Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 20:53:41 -0400 Subject: [PATCH 10/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 40 ++++-------------------- 1 file changed, 6 insertions(+), 34 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index f88f48a8..71e8f403 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -451,30 +451,6 @@ print(f" Ratio IHR / IEDR: {true_ihr / true_iedr:.3f}") print(f" ED visits day-of-week effects: {true_dow_effects}") ``` -```{python} -#| label: delay-pmf-plots -#| layout-ncol: 2 -#| fig-height: 4 -#| fig-width: 6 - -from IPython.display import display - -max_days = max(len(hosp_delay_pmf), len(ed_delay_pmf)) - 1 -x_limits = (0, max_days) - -plot_hosp_delay = plot_delay_distribution( - hosp_delay_pmf, - "Infection-to-Hospitalization Delay Distribution", -) + p9.coord_cartesian(xlim=x_limits) -plot_ed_delay = plot_delay_distribution( - ed_delay_pmf, - "Infection-to-ED Visit Delay Distribution", -) + p9.coord_cartesian(xlim=x_limits) - -display(plot_hosp_delay) -display(plot_ed_delay) -``` - First we specify the latent components ```{python} @@ -553,14 +529,6 @@ hospital_obs = PopulationCounts( start_dow=MMWR_WEEK, ) -# ed_day_of_week_rv = TransformedVariable( -# name="ed_day_of_week_effect", -# base_rv=DistributionalVariable( -# name="ed_day_of_week_effect_raw", -# distribution=dist.Dirichlet(jnp.ones(7) * 5), -# ), -# transforms=transformation.AffineTransform(loc=0.0, scale=7.0), -# ) ed_day_of_week_rv = DeterministicVariable( "ed_day_of_week_effect", @@ -640,6 +608,10 @@ hospital_observed = model.pad_aggregated_observations( print(f"ED observation array shape: {ed_observed.shape}") print(f"Hospital observation array shape: {hospital_observed.shape}") +``` + +```{python} +#| label: plot-observed-data # Raw observations on a shared calendar axis ed_dates = pd.date_range( @@ -811,6 +783,8 @@ pyrenew_parameter_summary The pyrenew-H-E model recovers the data-generating parameters. ```{python} +#| label: print-data-generatingd-params + print("Data-generating values we will try to recover:") print(f" Initial infections per capita (I0): {true_i0:.5f}") print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") @@ -1169,7 +1143,6 @@ In prod-H-E, the ED ascertainment is time-varying, so we summarize both the firs ```{python} #| label: production-summary -#| code-fold: false with open(model_dir / "posterior_samples.pickle", "rb") as file: production_mcmc = pickle.load(file) @@ -1287,7 +1260,6 @@ Both fits are relatively slow for a small synthetic data set because H+E observa ```{python} #| label: runtime-comparison -#| code-fold: false pd.DataFrame( [ From 79a28999a548ed24db9be34c2294a81434cde732 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 20:54:07 -0400 Subject: [PATCH 11/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 71e8f403..cb773431 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -1154,6 +1154,7 @@ production_idata = az.from_dict( sample_dims=["chain", "draw"], ) + def get_posterior_variable(posterior, candidates): for name in candidates: if name in posterior.data_vars: From f506a2efcf6831d8bccd9523fb637acc093a7a46 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 21:09:32 -0400 Subject: [PATCH 12/20] checkpointing --- docs/tutorials/.pages | 1 - docs/tutorials/multisignal_H_E_model.qmd | 2 +- .../multisignal_hosp_ed_workflow.qmd | 1866 ----------------- 3 files changed, 1 insertion(+), 1868 deletions(-) delete mode 100644 docs/tutorials/multisignal_hosp_ed_workflow.qmd diff --git a/docs/tutorials/.pages b/docs/tutorials/.pages index 4c827506..78eeb285 100644 --- a/docs/tutorials/.pages +++ b/docs/tutorials/.pages @@ -9,4 +9,3 @@ nav: - day_of_week_effects.md - ascertainment.md - multisignal_H_E_model.md - - multisignal_hosp_ed_workflow.md diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index cb773431..69417ad9 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -1,5 +1,5 @@ --- -title: Weekly Hospital and Daily ED Multi-Signal Model +title: Multi-signal Model for Weekly Hospital and Daily ED Data format: gfm: code-fold: true diff --git a/docs/tutorials/multisignal_hosp_ed_workflow.qmd b/docs/tutorials/multisignal_hosp_ed_workflow.qmd deleted file mode 100644 index 5e887fe2..00000000 --- a/docs/tutorials/multisignal_hosp_ed_workflow.qmd +++ /dev/null @@ -1,1866 +0,0 @@ ---- -title: Hospital and ED Multi-Signal Workflow -format: - gfm: - code-fold: true -engine: jupyter -execute: - eval: false -jupyter: - jupytext: - text_representation: - extension: .qmd - format_name: quarto - format_version: "1.0" - jupytext_version: 1.19.1 - kernelspec: - display_name: Python 3 (ipykernel) - language: python - name: python3 ---- - -```{python} -#| label: setup -#| output: false - -from datetime import date -import time -import warnings - -import arviz as az -import numpyro - -numpyro.set_host_device_count(4) -numpyro.enable_x64() - -import jax -import jax.numpy as jnp -import jax.random as random -import numpy as np -import numpyro.distributions as dist -import pandas as pd -import plotnine as p9 - -warnings.filterwarnings("ignore") - -from _tutorial_theme import theme_tutorial -from pyrenew.ascertainment import AscertainmentModel -from pyrenew.datasets import ( - load_example_infection_admission_interval, - load_synthetic_daily_ed_visits, - load_synthetic_daily_infections, - load_synthetic_true_parameters, - load_synthetic_weekly_hospital_admissions, -) -from pyrenew.deterministic import DeterministicPMF, DeterministicVariable -from pyrenew.latent import DifferencedAR1, PopulationInfections, WeeklyTemporalProcess -from pyrenew.metaclass import RandomVariable -from pyrenew.model import PyrenewBuilder -from pyrenew.observation import NegativeBinomialNoise, PopulationCounts -from pyrenew.randomvariable import DistributionalVariable, TransformedVariable -from pyrenew.time import MMWR_WEEK -import pyrenew.transformation as transformation -``` - -## Overview - -This tutorial walks through fitting a joint hospital admissions and emergency department (ED) visits renewal model and uses small model variations to show what these two data streams can and cannot tell us when fit together. -The model approximates a production model used at the CDC for short-term forecasting of Covid, flu, and RSV. - -When hospital admissions and ED visits are fit jointly with no outside information, the two signals jointly pin down how much more common ED visits are than hospitalizations, but not the absolute rates themselves. -The same observed time series is consistent with many combinations of initial infection level and absolute ascertainment rate. -Pinning down the absolute level needs outside information: an informative prior on one of the rates, a separate signal that ties infections to a known scale, or both. - -The model samples $\mathcal{R}(t)$ once per week and runs the renewal equation day by day. -This is a deliberate modeling choice that affects both inference and interpretation; we discuss the trade-offs when we set up the $\mathcal{R}(t)$ process. - -A general note before we begin. -In dynamical models fit to noisy data, the data anchor the model's *outputs* (latent trajectories and predicted observations) more reliably than the individual parameters that combine to produce those outputs. -Trajectory recovery and parameter recovery are different questions and they can give different answers on the same fit. -We will see this pattern in several of the steps below. - -We work through this in five short fits. -Each fit changes one piece of the model and shows what the data can recover under that choice. - - | Step | $I_0$ | Hospital ascertainment (IHR) | ED ascertainment (IEDR) | - | ---- | ----- | -------------------------------- | ---------------------------- | - | 1 | fixed | fixed | fixed | - | 2 | free | fixed | fixed | - | 3 | fixed | free | free | - | 4 | free | free, independent priors | free, independent priors | - | 5 | free | linked: IHR = IEDR $\cdot$ ratio | free, with informative prior | - -The first four steps build up the picture from "everything known" to "everything free", and the fifth step links the two ascertainment rates the way the production model does. -Each step is a small edit to the builder configuration: the latent infection process and the two observation processes stay the same. - -## Model Structure - -All five fits use the same underlying renewal model: - -- A single population-level latent infection process. -- A weekly $\mathcal{R}(t)$ that updates calendar-week by calendar-week. -- Weekly hospital admissions reported as MMWR totals. -- Daily ED visits with a fixed day-of-week effect. - -```mermaid -flowchart TB - - subgraph Latent["Latent Infection Process"] - R["Weekly DifferencedAR1
for log $\mathcal{R}(t)$"] - I["Daily renewal equation
(PopulationInfections)"] - end - - subgraph Asc["Ascertainment (varies per step)"] - A["Hospital ascertainment IHR
ED ascertainment IEDR"] - end - - subgraph Obs["Observation Processes"] - H["Hospital admissions
PopulationCounts
weekly MMWR totals"] - E["ED visits
PopulationCounts
daily counts + day-of-week"] - end - - subgraph Data["Observed Data"] - HD["Weekly hospital data"] - ED["Daily ED data"] - end - - R -->|expand to daily| I - I --> H - I --> E - A --> H - A --> E - H -->|delay + IHR + weekly aggregation + noise| HD - E -->|delay + IEDR + day-of-week + noise| ED -``` - -The renewal equation steps day by day. -Hospital admissions are aggregated to weekly MMWR totals before they are compared with the observed weekly counts; ED visits are compared with the observed daily counts. -Across the five steps, the latent process and the two observation processes stay the same. -Only the ascertainment and $I_0$ pieces change. - -## Synthetic Data and True Parameters - -For this tutorial we use a bundled synthetic H+E dataset generated from a known infection trajectory. -Because the data-generating values are known, we can ask whether each model variant recovers them. - -```{python} -#| label: load-data - -N_DAYS_FIT = 126 -OBS_START_DATE = date(2023, 11, 5) - -true_params = load_synthetic_true_parameters() -daily_infections = load_synthetic_daily_infections() -weekly_hosp = load_synthetic_weekly_hospital_admissions() -daily_ed = load_synthetic_daily_ed_visits() - -hosp_delay_pmf = jnp.array( - load_example_infection_admission_interval()["probability_mass"].to_numpy() -) -ed_delay_pmf = jnp.array(true_params["ed_visits"]["delay_pmf"]) - -population_size = float(weekly_hosp["pop"][0]) -true_i0 = float(true_params["i0_per_capita"]) -true_ihr = float(true_params["hospitalizations"]["ihr"]) -true_iedr = float(true_params["ed_visits"]["iedr"]) -true_dow_effects = jnp.array(true_params["ed_visits"]["day_of_week_effects"]) - -print(f"Population size: {population_size:,.0f}") -print(f"Weekly hospital rows: {len(weekly_hosp)}") -print(f"Daily ED rows: {len(daily_ed)}") -print() -print("Data-generating values we will try to recover:") -print(f" Initial infections per capita (I0): {true_i0:.5f}") -print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") -print(f" ED ascertainment (IEDR): {true_iedr:.5f}") -print(f" Ratio IHR / IEDR: {true_ihr / true_iedr:.3f}") -``` - -Both ascertainment rates are small (well under 1% of infections), and IHR is about two-thirds of IEDR, so a randomly infected person is more likely to show up in the ED than to be admitted to the hospital. -The model variants below will be judged on whether they recover these values, the ratio, the latent infection trajectory, or some subset of these. - -## Shared Model Components - -The five variants share the same generation interval, delay distributions, $\mathcal{R}(t)$ process, day-of-week effect, and noise priors. -We define these once. - -### Generation Interval and Delay Distributions - -```{python} -#| label: shared-pmfs -#| code-fold: false - -gen_int_pmf = jnp.array( - [0.6326975, 0.2327564, 0.0856263, 0.03150015, 0.01158826, 0.00426308, 0.0015683] -) -gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) - -hosp_delay_rv = DeterministicPMF("hosp_delay", hosp_delay_pmf) -ed_delay_rv = DeterministicPMF("ed_delay", ed_delay_pmf) -``` - -The generation interval PMF matches the data-generating process. -We fix both delay PMFs at their data-generating values. -The production model has the option to infer delay parameters; we keep delays fixed here so that the experiments below isolate the role of ascertainment and $I_0$. - -### Weekly $\mathcal{R}(t)$ Process - -```{python} -#| label: shared-rt-process -#| code-fold: false - -log_rt_time_0_rv = DistributionalVariable("log_rt_time_0", dist.Normal(0.0, 0.5)) - -weekly_rt_process = WeeklyTemporalProcess( - DifferencedAR1( - autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), - innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.03), - ), - start_dow=MMWR_WEEK, -) -``` - -The differenced AR(1) process for log $\mathcal{R}(t)$ allows persistent upward or downward movement. -The weekly wrapper samples one $\mathcal{R}(t)$ value per MMWR week (Sunday through Saturday). -PyRenew expands the weekly trajectory to one value per day before the renewal equation runs, so the renewal step still produces daily infections. - -Sampling $\mathcal{R}(t)$ once per week instead of once per day reduces the number of $\mathcal{R}(t)$ parameters MCMC has to estimate by a factor of seven: 18 weekly values over our 126-day fitting window, versus 126 daily values. -This is a deliberate modeling choice. -It embeds the assumption that transmission shifts week to week, not day to day. -For COVID-style respiratory data fit over short windows, the weekly choice is the default in the production model; day-to-day transmission swings rarely move enough signal in hospital admissions or ED visits to be recoverable. -If a daily $\mathcal{R}(t)$ is needed, the inner `DifferencedAR1` can be passed to `configure_latent` directly without the weekly wrapper, and the rest of the model is unchanged. - -The starting log $\mathcal{R}(t)$ has a moderately broad prior; the AR(1) parameters are fixed at values typical for the production model. - -### Day-of-Week Effect - -```{python} -#| label: shared-dow -#| code-fold: false - -ed_day_of_week_rv = DeterministicVariable( - "ed_day_of_week_effect", - true_dow_effects, -) -``` - -ED visits show systematic day-of-week patterns from care-seeking behavior and reporting workflows. -The production model places a Dirichlet prior on the seven multipliers. -For this tutorial we hold the day-of-week effect fixed at the data-generating values so each step's results are not entangled with day-of-week inference. - -### Noise Priors - -```{python} -#| label: shared-noise -#| code-fold: false - -hosp_concentration_rv = DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) -ed_concentration_rv = DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) -``` - -Both observation processes use negative-binomial noise. -The hospital concentration prior is centered higher because weekly totals show less overdispersion than daily counts. -These priors are unchanged across all five variants. - -## Helpers - -Two small utility functions are used across the variants. - -```{python} -#| label: helpers -#| code-fold: false - -def trim_init(idata: az.InferenceData, n_init: int) -> az.InferenceData: - """ - Drop the initialization period from any posterior variable with a "time" dim. - - Parameters - ---------- - idata - Inference data produced by ``az.from_numpyro``. - n_init - Number of leading entries that belong to the initialization period and - should be dropped before plotting or summarizing. - - Returns - ------- - az.InferenceData - New inference data with the initialization period removed from any - dataset that has a "time" dimension. - """ - - def _trim(ds): - """ - Trim and reindex the "time" coordinate of one dataset. - - Returns - ------- - xarray.Dataset - The dataset with leading entries removed along "time". - """ - if "time" in ds.dims: - ds = ds.isel(time=slice(n_init, None)) - ds = ds.assign_coords(time=range(ds.sizes["time"])) - return ds - - return idata.map_over_datasets(_trim) - - -def coverage_pct(truth: np.ndarray, q05: np.ndarray, q95: np.ndarray) -> float: - """ - Compute the percentage of truth values that fall inside a 90% interval. - - Parameters - ---------- - truth - Vector of true values, one per time point. - q05 - Lower bound (5th percentile) of the posterior interval at each time point. - q95 - Upper bound (95th percentile) of the posterior interval at each time point. - - Returns - ------- - float - Fraction of time points covered by the interval, scaled to a percentage. - """ - n = min(len(truth), len(q05), len(q95)) - covered = (truth[:n] >= q05[:n]) & (truth[:n] <= q95[:n]) - return 100.0 * float(np.mean(covered)) -``` - -## Step 1: Everything Fixed at Truth - -In the first variant we pin the initial infection level and both ascertainment rates at their data-generating values. -The only free latent quantities are the $\mathcal{R}(t)$ trajectory and the two negative-binomial concentration parameters. -This fit shows the model can reproduce the data when the link from infections to clinical signals is fully known. - -```{python} -#| label: step1-components -#| code-fold: false - -I0_rv = DeterministicVariable("I0", true_i0) -ihr_rv = DeterministicVariable("ihr", true_ihr) -iedr_rv = DeterministicVariable("iedr", true_iedr) - -hospital_obs = PopulationCounts( - name="hospital", - ascertainment_rate_rv=ihr_rv, - delay_distribution_rv=hosp_delay_rv, - noise=NegativeBinomialNoise(hosp_concentration_rv), - aggregation="weekly", - reporting_schedule="regular", - start_dow=MMWR_WEEK, -) - -ed_obs = PopulationCounts( - name="ed_visits", - ascertainment_rate_rv=iedr_rv, - delay_distribution_rv=ed_delay_rv, - noise=NegativeBinomialNoise(ed_concentration_rv), - day_of_week_rv=ed_day_of_week_rv, -) -``` - -We pass the components to the builder. -Because both ascertainment rates are scalar deterministic values rather than a shared joint object, we attach them directly to the observation processes and do not call `add_ascertainment`. - -```{python} -#| label: step1-build -#| code-fold: false - -builder = PyrenewBuilder() -builder.configure_latent( - PopulationInfections, - gen_int_rv=gen_int_rv, - I0_rv=I0_rv, - log_rt_time_0_rv=log_rt_time_0_rv, - single_rt_process=weekly_rt_process, -) -builder.add_observation(hospital_obs) -builder.add_observation(ed_obs) - -model_step1 = builder.build() -n_init = model_step1.latent.n_initialization_points -print(f"Initialization points: {n_init}") -print(f"Observations: {list(model_step1.observations)}") -``` - -Hospital observations are weekly MMWR totals, so we pad them on the hospital observation process's weekly cadence. -Daily ED observations are padded with `pad_observations`. -The padding fills the initialization period with `NaN` so the renewal process has room to warm up before any data is conditioned on. - -```{python} -#| label: step1-prepare-data -#| code-fold: false - -ed_observed = model_step1.pad_observations( - jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) -) - -hospital_observed = model_step1.pad_aggregated_observations( - jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), - observation_name="hospital", - n_days_post_init=N_DAYS_FIT, - obs_start_date=OBS_START_DATE, -) - -print(f"ED observation array shape: {ed_observed.shape}") -print(f"Hospital observation array shape: {hospital_observed.shape}") -``` - -Now we run MCMC. - -```{python} -#| label: step1-fit -#| code-fold: false - -jax.clear_caches() - -start_time = time.time() -model_step1.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples_step1 = model_step1.mcmc.get_samples() -jax.block_until_ready(samples_step1) -elapsed_step1 = time.time() - start_time -print(f"Elapsed time: {elapsed_step1:.1f} seconds") -``` - -We label the time dimension on the dynamic posterior quantities so we can trim the initialization period before summarizing. - -```{python} -#| label: step1-arviz -#| code-fold: false - -idata_step1 = az.from_numpyro( - model_step1.mcmc, - dims={ - "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], - "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], - }, -) -idata_step1_trimmed = trim_init(idata_step1, n_init) - -summary_step1 = az.summary( - idata_step1_trimmed, - var_names=["log_rt_time_0", "hosp_conc", "ed_conc"], -) -summary_step1 -``` - -The remaining scalars should mix cleanly. -A coverage check on the latent infection trajectory tells us whether the posterior interval captures the data-generating truth. - -```{python} -#| label: step1-coverage -#| code-fold: false - -latent_inf_step1 = idata_step1_trimmed.posterior["latent_infections"] -inf_q05_step1 = latent_inf_step1.quantile(0.05, dim=["chain", "draw"]).values -inf_q50_step1 = latent_inf_step1.quantile(0.50, dim=["chain", "draw"]).values -inf_q95_step1 = latent_inf_step1.quantile(0.95, dim=["chain", "draw"]).values - -true_infections = daily_infections["true_infections"].to_numpy() -print( - f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step1, inf_q95_step1):.1f}%" -) - -rhat = summary_step1["r_hat"].astype(float) -print(f"Max R-hat (free scalars): {rhat.max():.3f}") -``` - -A plot of the posterior latent infections against the data-generating truth provides a visual check. - -```{python} -#| label: step1-fig -#| fig-cap: Step 1 - posterior latent infections with everything other than -#| $\mathcal{R}(t)$ fixed at truth. - -n_compare = min(len(true_infections), len(inf_q50_step1)) - -plot_df_step1 = pd.DataFrame( - { - "day": np.arange(n_compare), - "median": inf_q50_step1[:n_compare], - "q05": inf_q05_step1[:n_compare], - "q95": inf_q95_step1[:n_compare], - "truth": true_infections[:n_compare], - } -) - -( - p9.ggplot(plot_df_step1, p9.aes(x="day")) - + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) - + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) - + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) - + p9.scale_y_log10() - + p9.labs( - x="Day", - y="Latent infections", - title="Step 1: posterior latent infections vs. truth", - ) - + theme_tutorial -) -``` - -With both ascertainment rates and $I_0$ pinned, the posterior on the latent infection trajectory should track the data-generating truth. -This step does not yet say anything about what the data alone can resolve; it shows the model can reproduce the data when the link to infections is fully specified. -The next steps relax pieces of this link one at a time. - -## Step 2: Free $I_0$, Ascertainment Still Fixed - -In Step 2 we relax the initial infection level. -Both ascertainment rates stay pinned at their data-generating values. -The question is what the data can tell us about $I_0$ when the link from infections to clinical signals is fully specified. - -We use the same prior for $I_0$ that the pyrenew-multisignal production model uses, a `Beta(1, 10)`. -This prior has mode 0 and a 90% prior interval of roughly [0.005, 0.26], so it places its mass at initial-infection levels appropriate for a typical respiratory virus in season. -The data-generating value (0.0005 per capita) sits in the left tail of the prior, which means any pull toward truth in the posterior comes from the data and not from a prior centered at the answer. - -```{python} -#| label: step2-i0-prior -#| code-fold: false - -I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) -``` - -The observation processes are unchanged from Step 1. -We rebuild the model with the new $I_0$ prior. - -```{python} -#| label: step2-build -#| code-fold: false - -builder = PyrenewBuilder() -builder.configure_latent( - PopulationInfections, - gen_int_rv=gen_int_rv, - I0_rv=I0_rv, - log_rt_time_0_rv=log_rt_time_0_rv, - single_rt_process=weekly_rt_process, -) -builder.add_observation(hospital_obs) -builder.add_observation(ed_obs) - -model_step2 = builder.build() -print(f"Initialization points: {model_step2.latent.n_initialization_points}") -``` - -The padded observations from Step 1 can be reused: the model structure is the same, so the initialization period has the same length. - -```{python} -#| label: step2-fit -#| code-fold: false - -jax.clear_caches() - -start_time = time.time() -model_step2.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples_step2 = model_step2.mcmc.get_samples() -jax.block_until_ready(samples_step2) -elapsed_step2 = time.time() - start_time -print(f"Elapsed time: {elapsed_step2:.1f} seconds") -``` - -We summarize the free scalars and check coverage of the latent infection trajectory. - -```{python} -#| label: step2-arviz -#| code-fold: false - -idata_step2 = az.from_numpyro( - model_step2.mcmc, - dims={ - "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], - "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], - }, -) -idata_step2_trimmed = trim_init(idata_step2, n_init) - -summary_step2 = az.summary( - idata_step2_trimmed, - var_names=["I0", "log_rt_time_0", "hosp_conc", "ed_conc"], -) -summary_step2 -``` - -```{python} -#| label: step2-coverage -#| code-fold: false - -latent_inf_step2 = idata_step2_trimmed.posterior["latent_infections"] -inf_q05_step2 = latent_inf_step2.quantile(0.05, dim=["chain", "draw"]).values -inf_q50_step2 = latent_inf_step2.quantile(0.50, dim=["chain", "draw"]).values -inf_q95_step2 = latent_inf_step2.quantile(0.95, dim=["chain", "draw"]).values - -i0_post = idata_step2_trimmed.posterior["I0"].values.ravel() -print(f"True I0 (per capita): {true_i0:.5f}") -print(f"I0 posterior median: {np.median(i0_post):.5f}") -print( - f"I0 posterior 90% interval: [{np.quantile(i0_post, 0.05):.5f}, {np.quantile(i0_post, 0.95):.5f}]" -) -print() -print( - f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step2, inf_q95_step2):.1f}%" -) - -rhat = summary_step2["r_hat"].astype(float) -print(f"Max R-hat (free scalars): {rhat.max():.3f}") -``` - -The posterior on $I_0$ ends up far from the data-generating value, even with both ascertainment rates pinned at truth. -At the same time, the latent infection trajectory remains well-covered. - -This is the data telling us that $I_0$ is not, on its own, what the observations are anchoring. -The renewal equation builds the infections at the start of observation from two ingredients: the initial infection level $I_0$ and the early $\mathcal{R}(t)$ trajectory. -The data anchor the level of infections at the start of observation, but they cannot separate the $I_0$ contribution from the initial-growth contribution. -A smaller $I_0$ paired with a faster initial growth rate produces the same observed trajectory as a larger $I_0$ paired with slower initial growth. - -The joint posterior on $I_0$ and the starting log $\mathcal{R}(t)$ makes this trade-off visible. - -```{python} -#| label: step2-joint-scatter -#| fig-cap: Step 2 - joint posterior of $I_0$ and starting log $\mathcal{R}(t)$. -#| The vertical line shows the data-generating $I_0$. - -logrt0_post = idata_step2_trimmed.posterior["log_rt_time_0"].values.ravel() - -joint_df = pd.DataFrame({"I0": i0_post, "log_rt_time_0": logrt0_post}) - -( - p9.ggplot(joint_df, p9.aes(x="I0", y="log_rt_time_0")) - + p9.geom_point(alpha=0.2, size=0.7) - + p9.geom_vline(xintercept=true_i0, color="black", linetype="dashed") - + p9.scale_x_log10() - + p9.labs( - x="$I_0$ per capita", - y="Starting log $\\mathcal{R}(t)$", - title="Step 2: joint posterior of $I_0$ and starting log $\\mathcal{R}(t)$", - ) - + theme_tutorial -) -``` - -The negative slope is exactly the trade-off described above: lower $I_0$ samples are paired with higher starting log $\mathcal{R}(t)$ samples. - -This is a generic feature of renewal models, not a quirk of this dataset. -The pyrenew-multisignal synthetic-data priors fix both $I_0$ and the initial $\mathcal{R}(t)$ at their data-generating values when generating synthetic data, precisely because the pair is hard to recover from H+E observations alone. -In a production fit on real data, both quantities are freely sampled, and the trade-off above is part of what the posterior is exploring. - -The prior-versus-posterior plot below confirms that the data has narrowed the $I_0$ posterior, but it has narrowed it onto a place that is not the data-generating value. -The data is informative about a combination of $I_0$ and the early $\mathcal{R}(t)$ trajectory; it is not informative about $I_0$ on its own. - -```{python} -#| label: step2-prior-posterior-fig -#| fig-cap: Step 2 - prior and posterior on $I_0$ per capita. The -#| data-generating value is shown as a vertical line. - -prior_i0 = np.random.beta(1.0, 10.0, size=4000) - -i0_density_df = pd.concat( - [ - pd.DataFrame({"I0": prior_i0, "source": "Prior Beta(1, 10)"}), - pd.DataFrame({"I0": i0_post, "source": "Posterior"}), - ], - ignore_index=True, -) - -( - p9.ggplot(i0_density_df, p9.aes(x="I0", fill="source")) - + p9.geom_density(alpha=0.45) - + p9.geom_vline(xintercept=true_i0, color="black", linetype="dashed") - + p9.scale_x_log10() - + p9.labs( - x="$I_0$ per capita", - y="Density", - fill="", - title="Step 2: prior vs. posterior on $I_0$", - ) - + theme_tutorial -) -``` - -Despite the $I_0$ posterior sitting far from truth, the latent infection trajectory covers the truth well. -This is the recurring pattern flagged in the overview: the model learns the trajectories the data record more reliably than the parameters that combine to produce those trajectories. -A fit can recover the latent infection trajectory well while individual parameters end up well away from their data-generating values. - -```{python} -#| label: step2-fig -#| fig-cap: Step 2 - posterior latent infections with $I_0$ free and -#| ascertainment fixed at truth. - -plot_df_step2 = pd.DataFrame( - { - "day": np.arange(n_compare), - "median": inf_q50_step2[:n_compare], - "q05": inf_q05_step2[:n_compare], - "q95": inf_q95_step2[:n_compare], - "truth": true_infections[:n_compare], - } -) - -( - p9.ggplot(plot_df_step2, p9.aes(x="day")) - + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) - + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) - + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) - + p9.scale_y_log10() - + p9.labs( - x="Day", - y="Latent infections", - title="Step 2: posterior latent infections vs. truth", - ) - + theme_tutorial -) -``` - -This is the most the data can tell us about $I_0$ on its own: not very much. -With both ascertainment rates pinned at truth, the data still cannot separate $I_0$ from the initial $\mathcal{R}(t)$ trajectory. -What the data anchor is the level of infections at the start of observation, which is a combination of $I_0$ and the early growth rate. - -Step 3 reverses the experiment. -$I_0$ goes back to the data-generating value, and the two ascertainment rates are freed instead. - -## Step 3: Free Ascertainment, $I_0$ Fixed at Truth - -In Step 3 the initial infection level is pinned back at its data-generating value, and the two ascertainment rates are released. -The question is what the data tell us about IHR and IEDR when the level of latent infections is anchored. - -We use the same production-style prior for both rates: a logit-Normal centered at 0.005 with a standard deviation of 0.3 on the logit scale. -This is the pyrenew-multisignal default prior on its ascertainment rates. -It is centered exactly at the data-generating IHR (0.005), and the data-generating IEDR (0.0075) sits at about $1.4$ prior standard deviations above the center. -Centering both priors at the same value is a reasonable default: an applied epidemiologist who does not know in advance which clinical signal has a higher infection-to-event rate would place the same broad prior on both. - -```{python} -#| label: step3-priors -#| code-fold: false - -I0_rv = DeterministicVariable("I0", true_i0) - -ihr_rv = TransformedVariable( - name="ihr", - base_rv=DistributionalVariable( - name="logit_ihr", - distribution=dist.Normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - ), - ), - transforms=transformation.SigmoidTransform(), -) - -iedr_rv = TransformedVariable( - name="iedr", - base_rv=DistributionalVariable( - name="logit_iedr", - distribution=dist.Normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - ), - ), - transforms=transformation.SigmoidTransform(), -) -``` - -The two ascertainment rates are now random variables, so we rebuild the hospital and ED observation processes with the new accessors. -Everything else in the observation processes is unchanged. - -```{python} -#| label: step3-obs -#| code-fold: false - -hospital_obs = PopulationCounts( - name="hospital", - ascertainment_rate_rv=ihr_rv, - delay_distribution_rv=hosp_delay_rv, - noise=NegativeBinomialNoise(hosp_concentration_rv), - aggregation="weekly", - reporting_schedule="regular", - start_dow=MMWR_WEEK, -) - -ed_obs = PopulationCounts( - name="ed_visits", - ascertainment_rate_rv=iedr_rv, - delay_distribution_rv=ed_delay_rv, - noise=NegativeBinomialNoise(ed_concentration_rv), - day_of_week_rv=ed_day_of_week_rv, -) -``` - -We configure the builder and build the model. - -```{python} -#| label: step3-build -#| code-fold: false - -builder = PyrenewBuilder() -builder.configure_latent( - PopulationInfections, - gen_int_rv=gen_int_rv, - I0_rv=I0_rv, - log_rt_time_0_rv=log_rt_time_0_rv, - single_rt_process=weekly_rt_process, -) -builder.add_observation(hospital_obs) -builder.add_observation(ed_obs) - -model_step3 = builder.build() -print(f"Initialization points: {model_step3.latent.n_initialization_points}") -``` - -```{python} -#| label: step3-fit -#| code-fold: false - -jax.clear_caches() - -start_time = time.time() -model_step3.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples_step3 = model_step3.mcmc.get_samples() -jax.block_until_ready(samples_step3) -elapsed_step3 = time.time() - start_time -print(f"Elapsed time: {elapsed_step3:.1f} seconds") -``` - -We summarize the free scalars and compare the IHR, IEDR, and ratio posteriors against truth. - -```{python} -#| label: step3-arviz -#| code-fold: false - -idata_step3 = az.from_numpyro( - model_step3.mcmc, - dims={ - "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], - "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], - }, -) -idata_step3_trimmed = trim_init(idata_step3, n_init) -idata_step3_trimmed.posterior["ihr"] = 1.0 / ( - 1.0 + np.exp(-idata_step3_trimmed.posterior["logit_ihr"]) -) -idata_step3_trimmed.posterior["iedr"] = 1.0 / ( - 1.0 + np.exp(-idata_step3_trimmed.posterior["logit_iedr"]) -) - -summary_step3 = az.summary( - idata_step3_trimmed, - var_names=["ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], -) -summary_step3 -``` - -```{python} -#| label: step3-recovery -#| code-fold: false - -ihr_post = idata_step3_trimmed.posterior["ihr"].values.ravel() -iedr_post = idata_step3_trimmed.posterior["iedr"].values.ravel() -ratio_post = ihr_post / iedr_post - - -def summarize(name, samples, truth): - """ - Print a one-line comparison of a posterior to its data-generating value. - - Parameters - ---------- - name - Label printed at the start of the line. - samples - Flat array of posterior samples. - truth - Data-generating value to compare against. - """ - q05, q50, q95 = np.quantile(samples, [0.05, 0.50, 0.95]) - print( - f" {name:<12} truth = {truth:.5f} posterior median = {q50:.5f} 90% interval = [{q05:.5f}, {q95:.5f}]" - ) - - -print("Ascertainment recovery:") -summarize("IHR", ihr_post, true_ihr) -summarize("IEDR", iedr_post, true_iedr) -summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) -``` - -```{python} -#| label: step3-coverage -#| code-fold: false - -latent_inf_step3 = idata_step3_trimmed.posterior["latent_infections"] -inf_q05_step3 = latent_inf_step3.quantile(0.05, dim=["chain", "draw"]).values -inf_q50_step3 = latent_inf_step3.quantile(0.50, dim=["chain", "draw"]).values -inf_q95_step3 = latent_inf_step3.quantile(0.95, dim=["chain", "draw"]).values - -print( - f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step3, inf_q95_step3):.1f}%" -) - -rhat = summary_step3["r_hat"].astype(float) -print(f"Max R-hat (free scalars): {rhat.max():.3f}") -``` - -The prior-versus-posterior comparison shows how much the data narrowed each ascertainment rate. - -```{python} -#| label: step3-prior-posterior-fig -#| fig-cap: Step 3 - prior and posterior densities for the two ascertainment -#| rates. The vertical lines mark the data-generating values. - -prior_logit_asc = np.random.normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - size=4000, -) -prior_asc = 1.0 / (1.0 + np.exp(-prior_logit_asc)) - -asc_density_df = pd.concat( - [ - pd.DataFrame({"rate": prior_asc, "signal": "IHR", "source": "Prior"}), - pd.DataFrame({"rate": ihr_post, "signal": "IHR", "source": "Posterior"}), - pd.DataFrame({"rate": prior_asc, "signal": "IEDR", "source": "Prior"}), - pd.DataFrame({"rate": iedr_post, "signal": "IEDR", "source": "Posterior"}), - ], - ignore_index=True, -) -truth_df = pd.DataFrame({"signal": ["IHR", "IEDR"], "truth": [true_ihr, true_iedr]}) - -( - p9.ggplot(asc_density_df, p9.aes(x="rate", fill="source")) - + p9.geom_density(alpha=0.45) - + p9.geom_vline( - data=truth_df, - mapping=p9.aes(xintercept="truth"), - color="black", - linetype="dashed", - ) - + p9.facet_wrap("~signal", scales="free") - + p9.scale_x_log10() - + p9.labs( - x="Ascertainment rate", - y="Density", - fill="", - title="Step 3: prior vs. posterior on IHR and IEDR", - ) - + theme_tutorial -) -``` - -The joint posterior of IHR and IEDR shows the strongly-identified ratio and the residual play in the absolute scale. - -```{python} -#| label: step3-joint-scatter -#| fig-cap: Step 3 - joint posterior of IHR and IEDR. The red point marks the -#| data-generating values. - -joint_asc_df = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) -truth_point = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) - -( - p9.ggplot(joint_asc_df, p9.aes(x="IHR", y="IEDR")) - + p9.geom_point(alpha=0.2, size=0.7) - + p9.geom_point(data=truth_point, color="red", size=3) - + p9.scale_x_log10() - + p9.scale_y_log10() - + p9.labs( - x="IHR", - y="IEDR", - title="Step 3: joint posterior of IHR and IEDR", - ) - + theme_tutorial -) -``` - -The latent infection trajectory is recovered as well as in earlier steps. - -```{python} -#| label: step3-fig -#| fig-cap: Step 3 - posterior latent infections with ascertainment free and -#| $I_0$ fixed at truth. - -plot_df_step3 = pd.DataFrame( - { - "day": np.arange(n_compare), - "median": inf_q50_step3[:n_compare], - "q05": inf_q05_step3[:n_compare], - "q95": inf_q95_step3[:n_compare], - "truth": true_infections[:n_compare], - } -) - -( - p9.ggplot(plot_df_step3, p9.aes(x="day")) - + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) - + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) - + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) - + p9.scale_y_log10() - + p9.labs( - x="Day", - y="Latent infections", - title="Step 3: posterior latent infections vs. truth", - ) - + theme_tutorial -) -``` - -With $I_0$ fixed at truth, the ratio IHR/IEDR is sharply identified by the relative magnitudes of the two observation signals: the posterior median (0.667) matches the data-generating value almost exactly. -The individual ascertainment rates are also constrained, with their 90% intervals covering truth, but the posterior medians sit below the data-generating values and the marginal posteriors are several times wider than the ratio posterior in relative terms. - -The data are most sharply informative about the ratio. -The absolute scale of each ascertainment rate has additional posterior play that the prior, centered at logit(0.005), helps to anchor. -This is consistent with the trajectory-versus-parameter pattern flagged in the overview: the latent infection trajectory is recovered well, while the individual parameters that combine to produce it have wider posteriors than parameter recovery alone would suggest. - -Step 4 frees everything at once. -$I_0$, IHR, and IEDR are all independent random variables. -The ratio should remain identified, but the absolute scale will have more posterior play than in Step 3. - -## Step 4: Free Everything - -In Step 4 we release the initial infection level alongside the two ascertainment rates. -All three quantities are now random variables with the production-style priors used in the earlier steps: `Beta(1, 10)` on $I_0$, and a logit-Normal centered at 0.005 with standard deviation 0.3 on the logit scale for each ascertainment rate. - -This is the picture an applied user gets with no outside information: the model is asked to recover all three quantities from the joint hospital admissions and ED visits time series alone. - -```{python} -#| label: step4-priors -#| code-fold: false - -I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) - -ihr_rv = TransformedVariable( - name="ihr", - base_rv=DistributionalVariable( - name="logit_ihr", - distribution=dist.Normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - ), - ), - transforms=transformation.SigmoidTransform(), -) - -iedr_rv = TransformedVariable( - name="iedr", - base_rv=DistributionalVariable( - name="logit_iedr", - distribution=dist.Normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - ), - ), - transforms=transformation.SigmoidTransform(), -) - -hospital_obs = PopulationCounts( - name="hospital", - ascertainment_rate_rv=ihr_rv, - delay_distribution_rv=hosp_delay_rv, - noise=NegativeBinomialNoise(hosp_concentration_rv), - aggregation="weekly", - reporting_schedule="regular", - start_dow=MMWR_WEEK, -) - -ed_obs = PopulationCounts( - name="ed_visits", - ascertainment_rate_rv=iedr_rv, - delay_distribution_rv=ed_delay_rv, - noise=NegativeBinomialNoise(ed_concentration_rv), - day_of_week_rv=ed_day_of_week_rv, -) -``` - -```{python} -#| label: step4-build -#| code-fold: false - -builder = PyrenewBuilder() -builder.configure_latent( - PopulationInfections, - gen_int_rv=gen_int_rv, - I0_rv=I0_rv, - log_rt_time_0_rv=log_rt_time_0_rv, - single_rt_process=weekly_rt_process, -) -builder.add_observation(hospital_obs) -builder.add_observation(ed_obs) - -model_step4 = builder.build() -print(f"Initialization points: {model_step4.latent.n_initialization_points}") -``` - -```{python} -#| label: step4-fit -#| code-fold: false - -jax.clear_caches() - -start_time = time.time() -model_step4.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples_step4 = model_step4.mcmc.get_samples() -jax.block_until_ready(samples_step4) -elapsed_step4 = time.time() - start_time -print(f"Elapsed time: {elapsed_step4:.1f} seconds") -``` - -```{python} -#| label: step4-arviz -#| code-fold: false - -idata_step4 = az.from_numpyro( - model_step4.mcmc, - dims={ - "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], - "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], - }, -) -idata_step4_trimmed = trim_init(idata_step4, n_init) -idata_step4_trimmed.posterior["ihr"] = 1.0 / ( - 1.0 + np.exp(-idata_step4_trimmed.posterior["logit_ihr"]) -) -idata_step4_trimmed.posterior["iedr"] = 1.0 / ( - 1.0 + np.exp(-idata_step4_trimmed.posterior["logit_iedr"]) -) - -summary_step4 = az.summary( - idata_step4_trimmed, - var_names=["I0", "ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], -) -summary_step4 -``` - -```{python} -#| label: step4-recovery -#| code-fold: false - -i0_post = idata_step4_trimmed.posterior["I0"].values.ravel() -ihr_post = idata_step4_trimmed.posterior["ihr"].values.ravel() -iedr_post = idata_step4_trimmed.posterior["iedr"].values.ravel() -ratio_post = ihr_post / iedr_post - -print("Posterior recovery:") -summarize("I0", i0_post, true_i0) -summarize("IHR", ihr_post, true_ihr) -summarize("IEDR", iedr_post, true_iedr) -summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) -``` - -```{python} -#| label: step4-coverage -#| code-fold: false - -latent_inf_step4 = idata_step4_trimmed.posterior["latent_infections"] -inf_q05_step4 = latent_inf_step4.quantile(0.05, dim=["chain", "draw"]).values -inf_q50_step4 = latent_inf_step4.quantile(0.50, dim=["chain", "draw"]).values -inf_q95_step4 = latent_inf_step4.quantile(0.95, dim=["chain", "draw"]).values - -print( - f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step4, inf_q95_step4):.1f}%" -) - -rhat = summary_step4["r_hat"].astype(float) -print(f"Max R-hat (free scalars): {rhat.max():.3f}") -``` - -The joint scatter of $I_0$ and IHR shows where the $I_0$ posterior has gone. -Its mass is spread across several orders of magnitude (note the log scale on the horizontal axis), but the IHR posterior occupies a much narrower band. -The two are largely uncorrelated. -This is the trade-off from Step 2: $I_0$ trades off with the early $\mathcal{R}(t)$ trajectory in the renewal process, not with the ascertainment rates. - -```{python} -#| label: step4-joint-i0-ihr -#| fig-cap: Step 4 - joint posterior of $I_0$ and IHR. The red point marks the -#| data-generating values. - -joint_i0_ihr_df = pd.DataFrame({"I0": i0_post, "IHR": ihr_post}) -truth_point_i0_ihr = pd.DataFrame({"I0": [true_i0], "IHR": [true_ihr]}) - -( - p9.ggplot(joint_i0_ihr_df, p9.aes(x="I0", y="IHR")) - + p9.geom_point(alpha=0.2, size=0.7) - + p9.geom_point(data=truth_point_i0_ihr, color="red", size=3) - + p9.scale_x_log10() - + p9.scale_y_log10() - + p9.labs( - x="$I_0$", - y="IHR", - title="Step 4: joint posterior of $I_0$ and IHR", - ) - + theme_tutorial -) -``` - -The joint scatter of IHR and IEDR shows what the data still identify cleanly: the ratio. -The cloud sits along a tight ridge whose slope corresponds to the data-generating ratio of approximately 0.67. - -```{python} -#| label: step4-joint-ihr-iedr -#| fig-cap: Step 4 - joint posterior of IHR and IEDR. The red point marks the -#| data-generating values. - -joint_asc_df_step4 = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) -truth_point_asc = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) - -( - p9.ggplot(joint_asc_df_step4, p9.aes(x="IHR", y="IEDR")) - + p9.geom_point(alpha=0.2, size=0.7) - + p9.geom_point(data=truth_point_asc, color="red", size=3) - + p9.scale_x_log10() - + p9.scale_y_log10() - + p9.labs( - x="IHR", - y="IEDR", - title="Step 4: joint posterior of IHR and IEDR", - ) - + theme_tutorial -) -``` - -The ratio posterior, compared to its prior, shows the data anchoring the ratio sharply even when neither rate is anchored on its own. - -```{python} -#| label: step4-ratio-prior-posterior -#| fig-cap: Step 4 - prior and posterior on the ratio IHR / IEDR. The vertical -#| line marks the data-generating value. - -prior_logit_asc_a = np.random.normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - size=4000, -) -prior_logit_asc_b = np.random.normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - size=4000, -) -prior_ihr = 1.0 / (1.0 + np.exp(-prior_logit_asc_a)) -prior_iedr = 1.0 / (1.0 + np.exp(-prior_logit_asc_b)) -prior_ratio = prior_ihr / prior_iedr - -ratio_density_df = pd.concat( - [ - pd.DataFrame({"ratio": prior_ratio, "source": "Prior"}), - pd.DataFrame({"ratio": ratio_post, "source": "Posterior"}), - ], - ignore_index=True, -) - -( - p9.ggplot(ratio_density_df, p9.aes(x="ratio", fill="source")) - + p9.geom_density(alpha=0.45) - + p9.geom_vline(xintercept=true_ihr / true_iedr, color="black", linetype="dashed") - + p9.scale_x_log10() - + p9.labs( - x="IHR / IEDR", - y="Density", - fill="", - title="Step 4: prior vs. posterior on IHR / IEDR", - ) - + theme_tutorial -) -``` - -The latent infection trajectory is recovered despite the wider posterior on the individual parameters. - -```{python} -#| label: step4-fig -#| fig-cap: Step 4 - posterior latent infections with $I_0$ and both -#| ascertainment rates free. - -plot_df_step4 = pd.DataFrame( - { - "day": np.arange(n_compare), - "median": inf_q50_step4[:n_compare], - "q05": inf_q05_step4[:n_compare], - "q95": inf_q95_step4[:n_compare], - "truth": true_infections[:n_compare], - } -) - -( - p9.ggplot(plot_df_step4, p9.aes(x="day")) - + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) - + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) - + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) - + p9.scale_y_log10() - + p9.labs( - x="Day", - y="Latent infections", - title="Step 4: posterior latent infections vs. truth", - ) - + theme_tutorial -) -``` - -With every absolute-scale parameter free, the data identify the ratio IHR / IEDR sharply and identify the latent infection trajectory. -What remains weakly constrained is split between two places: - -- $I_0$ is widely spread (orders of magnitude), absorbed into the same trade-off with the early $\mathcal{R}(t)$ growth that we saw in Step 2. -- The two ascertainment rates inherit the residual play seen in Step 3: their absolute level is anchored mostly by the prior centered at logit(0.005), and the 90% intervals cover truth at the upper edge. - -The joint scatters make these directions visible. -The $I_0$ axis is essentially unanchored by the data; the constant-ratio direction on the ascertainment plane is the one the data resolve. - -This is the picture an applied user fitting H+E alone should expect. -The data tell us a great deal about transmission dynamics through $\mathcal{R}(t)$ and about the relative magnitudes of the two clinical signals, but they cannot pin down the absolute level of infections in the population from these signals alone. - -Step 5 introduces a structural change: the two ascertainment rates are linked, with IHR expressed as a multiple of IEDR. -That is the parameterization the pyrenew-multisignal production model uses when fitting hospital admissions and ED visits jointly. - -## Step 5: Linked Ascertainment Rates - -Step 5 changes how the two ascertainment rates are expressed. -Rather than sampling IHR and IEDR independently, we sample IEDR and a multiplier, with IHR computed as their product. - -This is a structural statement: hospital admissions and ED visits are not two unrelated clinical signals. -A hospitalization is, in practice, a fraction of severe-enough ED visits, so we expect IHR and IEDR to be within a small multiple of each other. -The pyrenew-multisignal production model uses exactly this parameterization, with a prior that places equal-rate at the mode and a 90% prior range of roughly $[0.5\times, 2\times]$. - -### The `RatioLinkedAscertainment` Component - -We define a small `AscertainmentModel` subclass inline. -It samples a base rate and a multiplier, computes the linked rate as their product, and exposes both to observation processes through the standard `for_signal` accessor. - -```{python} -#| label: step5-class -#| code-fold: false - -from collections.abc import Mapping -from jax.typing import ArrayLike - - -class RatioLinkedAscertainment(AscertainmentModel): - """ - Two ascertainment rates expressed as a base rate and a multiplicative ratio. - - The base signal's rate is sampled from ``base_rate_rv``. - The linked signal's rate is the base rate multiplied by a value sampled - from ``ratio_rv``. - """ - - def __init__( - self, - name: str, - base_signal: str, - linked_signal: str, - base_rate_rv: RandomVariable, - ratio_rv: RandomVariable, - ) -> None: - """ - Initialize a ratio-linked ascertainment model. - - Parameters - ---------- - name - Name of the ascertainment model. - base_signal - Name of the signal whose rate serves as the base of the link. - linked_signal - Name of the signal whose rate is the base rate times the ratio. - base_rate_rv - RandomVariable producing the scalar base rate. - ratio_rv - RandomVariable producing the scalar multiplier applied to the - base rate. - """ - super().__init__(name=name, signals=(base_signal, linked_signal)) - self.base_signal = base_signal - self.linked_signal = linked_signal - self.base_rate_rv = base_rate_rv - self.ratio_rv = ratio_rv - - def sample(self, **kwargs: object) -> Mapping[str, ArrayLike]: - """ - Sample the base rate and the ratio; compute the linked rate. - - Returns - ------- - Mapping[str, ArrayLike] - Mapping from signal name to sampled scalar ascertainment rate. - """ - base_rate = self.base_rate_rv() - ratio = self.ratio_rv() - linked_rate = base_rate * ratio - numpyro.deterministic(f"{self.name}_{self.base_signal}", base_rate) - numpyro.deterministic(f"{self.name}_{self.linked_signal}", linked_rate) - return {self.base_signal: base_rate, self.linked_signal: linked_rate} -``` - -The class follows the same registration pattern as `JointAscertainment`: it can be passed to `builder.add_ascertainment(...)`, and observation processes receive their rates through `for_signal(...)`. - -### Priors and Model - -We use the production-style priors. -$I_0$ is `Beta(1, 10)`. -IEDR is a logit-Normal centered at 0.005 with standard deviation 0.3 on the logit scale. -The IHR-to-IEDR multiplier is `LogNormal(0, log(√2))`, which places the mode at equal rates and a 90% prior range of about $[0.5, 2.0]$. - -```{python} -#| label: step5-priors -#| code-fold: false - -I0_rv = DistributionalVariable("I0", dist.Beta(1, 10)) - -iedr_rv = TransformedVariable( - name="iedr", - base_rv=DistributionalVariable( - name="logit_iedr", - distribution=dist.Normal( - transformation.SigmoidTransform().inv(0.005), - 0.3, - ), - ), - transforms=transformation.SigmoidTransform(), -) - -ratio_rv = DistributionalVariable( - "ihr_rel_iedr", - dist.LogNormal(0.0, jnp.log(jnp.sqrt(2.0))), -) - -ascertainment = RatioLinkedAscertainment( - name="he_ascertainment", - base_signal="ed_visits", - linked_signal="hospital", - base_rate_rv=iedr_rv, - ratio_rv=ratio_rv, -) -``` - -The observation processes are rebuilt with `ascertainment.for_signal(...)`. - -```{python} -#| label: step5-obs -#| code-fold: false - -hospital_obs = PopulationCounts( - name="hospital", - ascertainment_rate_rv=ascertainment.for_signal("hospital"), - delay_distribution_rv=hosp_delay_rv, - noise=NegativeBinomialNoise(hosp_concentration_rv), - aggregation="weekly", - reporting_schedule="regular", - start_dow=MMWR_WEEK, -) - -ed_obs = PopulationCounts( - name="ed_visits", - ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), - delay_distribution_rv=ed_delay_rv, - noise=NegativeBinomialNoise(ed_concentration_rv), - day_of_week_rv=ed_day_of_week_rv, -) -``` - -```{python} -#| label: step5-build -#| code-fold: false - -builder = PyrenewBuilder() -builder.configure_latent( - PopulationInfections, - gen_int_rv=gen_int_rv, - I0_rv=I0_rv, - log_rt_time_0_rv=log_rt_time_0_rv, - single_rt_process=weekly_rt_process, -) -builder.add_ascertainment(ascertainment) -builder.add_observation(hospital_obs) -builder.add_observation(ed_obs) - -model_step5 = builder.build() -print(f"Initialization points: {model_step5.latent.n_initialization_points}") -``` - -```{python} -#| label: step5-fit -#| code-fold: false - -jax.clear_caches() - -start_time = time.time() -model_step5.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples_step5 = model_step5.mcmc.get_samples() -jax.block_until_ready(samples_step5) -elapsed_step5 = time.time() - start_time -print(f"Elapsed time: {elapsed_step5:.1f} seconds") -``` - -```{python} -#| label: step5-arviz -#| code-fold: false - -idata_step5 = az.from_numpyro( - model_step5.mcmc, - dims={ - "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], - "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], - }, -) -idata_step5_trimmed = trim_init(idata_step5, n_init) - -summary_step5 = az.summary( - idata_step5_trimmed, - var_names=[ - "I0", - "he_ascertainment_ed_visits", - "he_ascertainment_hospital", - "ihr_rel_iedr", - "log_rt_time_0", - "hosp_conc", - "ed_conc", - ], -) -summary_step5 -``` - -```{python} -#| label: step5-recovery -#| code-fold: false - -i0_post = idata_step5_trimmed.posterior["I0"].values.ravel() -iedr_post = idata_step5_trimmed.posterior["he_ascertainment_ed_visits"].values.ravel() -ihr_post = idata_step5_trimmed.posterior["he_ascertainment_hospital"].values.ravel() -ratio_post = idata_step5_trimmed.posterior["ihr_rel_iedr"].values.ravel() - -print("Posterior recovery:") -summarize("I0", i0_post, true_i0) -summarize("IEDR (base)", iedr_post, true_iedr) -summarize("IHR (linked)", ihr_post, true_ihr) -summarize("IHR / IEDR", ratio_post, true_ihr / true_iedr) -``` - -```{python} -#| label: step5-coverage -#| code-fold: false - -latent_inf_step5 = idata_step5_trimmed.posterior["latent_infections"] -inf_q05_step5 = latent_inf_step5.quantile(0.05, dim=["chain", "draw"]).values -inf_q50_step5 = latent_inf_step5.quantile(0.50, dim=["chain", "draw"]).values -inf_q95_step5 = latent_inf_step5.quantile(0.95, dim=["chain", "draw"]).values - -print( - f"90% interval coverage for true infections: {coverage_pct(true_infections, inf_q05_step5, inf_q95_step5):.1f}%" -) - -rhat = summary_step5["r_hat"].astype(float) -print(f"Max R-hat (free scalars): {rhat.max():.3f}") -``` - -The ratio is now a parameter the model samples directly. -Its prior is `LogNormal(0, log(√2))`; comparing prior and posterior shows how much the data has narrowed it. - -```{python} -#| label: step5-ratio-prior-posterior -#| fig-cap: Step 5 - prior and posterior on the IHR / IEDR multiplier. The -#| vertical line marks the data-generating ratio. - -prior_ratio_step5 = np.random.lognormal( - mean=0.0, - sigma=float(jnp.log(jnp.sqrt(2.0))), - size=4000, -) - -ratio_density_df_step5 = pd.concat( - [ - pd.DataFrame({"ratio": prior_ratio_step5, "source": "Prior"}), - pd.DataFrame({"ratio": ratio_post, "source": "Posterior"}), - ], - ignore_index=True, -) - -( - p9.ggplot(ratio_density_df_step5, p9.aes(x="ratio", fill="source")) - + p9.geom_density(alpha=0.45) - + p9.geom_vline(xintercept=true_ihr / true_iedr, color="black", linetype="dashed") - + p9.scale_x_log10() - + p9.labs( - x="IHR / IEDR", - y="Density", - fill="", - title="Step 5: prior vs. posterior on the IHR / IEDR multiplier", - ) - + theme_tutorial -) -``` - -The joint posterior of IHR and IEDR has the same ridge shape as in Step 4 (along the constant-ratio direction), but it sits at a slightly different location along that ridge. -The structural difference is that in Step 4 the ridge emerged from two independent rates whose data-driven correlation was only through the ratio; in Step 5 the ratio is sampled directly. - -```{python} -#| label: step5-joint-ihr-iedr -#| fig-cap: Step 5 - joint posterior of IHR (linked) and IEDR (base). The red -#| point marks the data-generating values. - -joint_asc_df_step5 = pd.DataFrame({"IHR": ihr_post, "IEDR": iedr_post}) -truth_point_asc_step5 = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) - -( - p9.ggplot(joint_asc_df_step5, p9.aes(x="IHR", y="IEDR")) - + p9.geom_point(alpha=0.2, size=0.7) - + p9.geom_point(data=truth_point_asc_step5, color="red", size=3) - + p9.scale_x_log10() - + p9.scale_y_log10() - + p9.labs( - x="IHR (linked)", - y="IEDR (base)", - title="Step 5: joint posterior of IHR and IEDR", - ) - + theme_tutorial -) -``` - -The latent infection trajectory is recovered as in earlier steps. - -```{python} -#| label: step5-fig -#| fig-cap: Step 5 - posterior latent infections with the ratio-linked -#| ascertainment. - -plot_df_step5 = pd.DataFrame( - { - "day": np.arange(n_compare), - "median": inf_q50_step5[:n_compare], - "q05": inf_q05_step5[:n_compare], - "q95": inf_q95_step5[:n_compare], - "truth": true_infections[:n_compare], - } -) - -( - p9.ggplot(plot_df_step5, p9.aes(x="day")) - + p9.geom_ribbon(p9.aes(ymin="q05", ymax="q95"), fill="steelblue", alpha=0.3) - + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) - + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) - + p9.scale_y_log10() - + p9.labs( - x="Day", - y="Latent infections", - title="Step 5: posterior latent infections vs. truth", - ) - + theme_tutorial -) -``` - -The linked parameterization expresses the production model's structural assumption: hospital admissions and ED visits share a clinical pathway, with the hospital rate a fraction of the ED rate. -The data still identify the ratio sharply, and the shape of the latent infection trajectory is recovered. - -Unlike Step 4, however, the absolute level of the inferred trajectory drifts noticeably above truth. -Both ascertainment-rate posteriors sit about 40% below their data-generating values, which forces the inferred latent infections to be about $1/0.6 \approx 1.6$ times higher than truth so that the predicted counts still match the observations. -This is the same trade-off ridge from Step 4; the priors select a different point on the ridge. -In Step 4, both ascertainment rates had logit-Normal priors centered at logit(0.005), and the posterior happened to settle near the data-generating absolute scale. -In Step 5, IEDR has the same prior but the multiplier prior has its mode at $1$ (equal rates), while the data-generating ratio is $0.667$. -The combination of "IEDR prior centered at $0.005$" and "ratio prior centered at equality" selects a point further from truth than the symmetric independent priors did. - -The lesson is not that one parameterization is better than the other. -Both express the same set of unanchored degrees of freedom. -When the data leaves a direction unanchored, the prior determines where on that direction the posterior sits. -The linked parameterization's value is in interpretability and in matching the production model, not in better recovery of absolute scale. -Anchoring the absolute level of latent infections requires external information beyond H+E data: a separate signal that ties infections to a known scale (such as wastewater), or an informative prior derived from outside data (serosurvey, prevalence nowcast). - -## Sampling Diagnostics Across Variants - -The five fits use the same MCMC settings (500 warmup, 500 samples, 4 chains). -Freeing more parameters or linking them through structural priors makes the model harder for NUTS to navigate, which shows up in elapsed time and in convergence diagnostics. - -We collect the wall-clock time, the maximum R-hat across the free scalar parameters, the minimum bulk and tail effective sample size, and the latent-infection coverage for each step. - -```{python} -#| label: fit-diagnostics -#| code-fold: false - -def fit_diagnostics( - idata: az.InferenceData, - elapsed: float, - scalar_vars: list[str], - truth: np.ndarray, -) -> dict[str, float]: - """ - Collect timing and convergence statistics for one fit. - - Parameters - ---------- - idata - Trimmed inference data for the fit. - elapsed - Wall-clock time for the run in seconds. - scalar_vars - Names of the scalar free parameters used for the R-hat and ESS summary. - truth - Data-generating latent infection trajectory for the coverage check. - - Returns - ------- - dict[str, float] - Mapping with elapsed time, max R-hat, min bulk ESS, min tail ESS, and - 90% interval coverage of the true infection trajectory. - """ - summary_table = az.summary(idata, var_names=scalar_vars) - rhat = summary_table["r_hat"].astype(float) - ess_bulk = summary_table["ess_bulk"].astype(float) - ess_tail = summary_table["ess_tail"].astype(float) - latent_inf = idata.posterior["latent_infections"] - q05 = latent_inf.quantile(0.05, dim=["chain", "draw"]).values - q95 = latent_inf.quantile(0.95, dim=["chain", "draw"]).values - return { - "Elapsed (s)": round(elapsed, 1), - "Max R-hat": round(float(rhat.max()), 3), - "Min bulk ESS": int(ess_bulk.min()), - "Min tail ESS": int(ess_tail.min()), - "Coverage (%)": round(coverage_pct(truth, q05, q95), 1), - } - - -diagnostics_df = pd.DataFrame( - [ - { - "Variant": "1: all fixed", - **fit_diagnostics( - idata_step1_trimmed, - elapsed_step1, - ["log_rt_time_0", "hosp_conc", "ed_conc"], - true_infections, - ), - }, - { - "Variant": "2: I0 free", - **fit_diagnostics( - idata_step2_trimmed, - elapsed_step2, - ["I0", "log_rt_time_0", "hosp_conc", "ed_conc"], - true_infections, - ), - }, - { - "Variant": "3: ascertainment free", - **fit_diagnostics( - idata_step3_trimmed, - elapsed_step3, - ["ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], - true_infections, - ), - }, - { - "Variant": "4: all free, independent", - **fit_diagnostics( - idata_step4_trimmed, - elapsed_step4, - ["I0", "ihr", "iedr", "log_rt_time_0", "hosp_conc", "ed_conc"], - true_infections, - ), - }, - { - "Variant": "5: linked ascertainment", - **fit_diagnostics( - idata_step5_trimmed, - elapsed_step5, - [ - "I0", - "he_ascertainment_ed_visits", - "he_ascertainment_hospital", - "ihr_rel_iedr", - "log_rt_time_0", - "hosp_conc", - "ed_conc", - ], - true_infections, - ), - }, - ] -) -diagnostics_df -``` - -Three patterns are worth noting: - -- **Elapsed time grows modestly with model complexity.** Freeing more parameters adds dimensions to the posterior NUTS has to navigate, but the renewal-equation evaluation dominates the per-iteration cost. - Across the five variants, the slowest fit is only $\sim 20\%$ longer than the fastest. - -- **Max R-hat is essentially flat across variants.** The chains mix similarly well in all five configurations. - The identifiability problems exposed in Steps 2, 4, and 5 are not convergence problems: NUTS is exploring the posterior we asked it to explore. - R-hat will not catch a misspecified-prior or weakly-identified-parameter problem; it only catches a sampler-not-mixing problem. - -- **Min ESS and coverage are the diagnostics that move.** Min bulk ESS drops sharply from Step 1 ($\sim 1100$) to Steps 2 through 5 ($\sim 300\text{--}380$): any free parameter that participates in a posterior trade-off direction reduces the effective sample size, because the sampler spends part of its budget moving along that direction. - Coverage of the latent infection trajectory tells a different story: it stays near the nominal 90% in Steps 1 through 4 but drops to 60% in Step 5, where the prior selects a point on the trade-off ridge far from the data-generating truth. - Together, these are the diagnostics that distinguish "the model fit something" from "the model recovered what we hoped". From bb782c76214ca468222d2f16d07855267e37f83c Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 21:09:57 -0400 Subject: [PATCH 13/20] checkpointing --- docs/tutorials/multisignal_H_E_model.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 69417ad9..ae7dc75c 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -1,5 +1,5 @@ --- -title: Multi-signal Model for Weekly Hospital and Daily ED Data +title: Multi-signal Model for Weekly Hospital and Daily ED Data format: gfm: code-fold: true From d4aefa9df69f406e7cf8301461edd41ff13c38a7 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 23:13:55 -0400 Subject: [PATCH 14/20] tutorial edits --- .../tutorials/building_multisignal_models.qmd | 2 - docs/tutorials/multisignal_H_E_model.qmd | 96 ++++++++++++------- 2 files changed, 64 insertions(+), 34 deletions(-) diff --git a/docs/tutorials/building_multisignal_models.qmd b/docs/tutorials/building_multisignal_models.qmd index c39d3381..7490b9e4 100644 --- a/docs/tutorials/building_multisignal_models.qmd +++ b/docs/tutorials/building_multisignal_models.qmd @@ -4,8 +4,6 @@ format: gfm: code-fold: true engine: jupyter -execute: - eval: false jupyter: jupytext: text_representation: diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index ae7dc75c..46075aea 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -9,7 +9,7 @@ jupyter: text_representation: extension: .qmd format_name: quarto - format_version: "1.0" + format_version: '1.0' jupytext_version: 1.19.1 kernelspec: display_name: Python 3 (ipykernel) @@ -120,9 +120,15 @@ def plot_delay_distribution(delay_pmf, title): ) ``` -This tutorial builds a small hospital + emergency department model using PyRenew's high-level components which approximates a production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https://www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). -The production model is coded directly in NumPyro. -Here we use PyRenew's high-level components and `PyrenewBuilder` class to specify a model with the same core shape: + +This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, +then fits it to a synthetic dataset. + +We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// +www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the +comparison below is a structural comparison rather than a direct benchmark. + +The PyRenew model has the following components: - one latent population-level infection process - a weekly-parameterized $\mathcal{R}(t)$ process @@ -238,9 +244,8 @@ We keep these components out of the tutorial model so the example can focus on t PyRenew's observation API accepts delay distributions as `RandomVariable` objects, so fixed delays can be replaced by inferred PMFs or custom parametric delay models, provided the sampled value is a valid fixed-length PMF. In this tutorial we keep the delays fixed. -- **Time-varying ED ascertainment**: the ED visit rate can vary over time, while the hospital ascertainment rate is modeled relative to the ED rate. - In the tutorial model, we use `JointAscertainment` instead. - This relates the hospital and ED ascertainment rates through a joint prior, while keeping both rates scalar over time. +- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment + as a multiplier of the first ED ascertainment value. In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. These alternatives are good candidates for model comparison and sensitivity analysis. One advantage of specifying the model with `PyrenewBuilder` is that closely related models can be built from the same components while changing only the feature under study: fixed versus inferred delays, scalar versus time-varying ascertainment, or renewal dynamics with versus without feedback. @@ -293,14 +298,13 @@ For each signal, the model samples a scalar ascertainment rate. The rates are modeled jointly: `baseline_rates` gives their prior centers on the probability scale, while `covariance_matrix` describes uncertainty and dependence on the logit scale. The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. -Here the prior centers are the synthetic data-generating hospital infection-hospitalization ratio and ED infection-to-ED-visit ratio. -We choose a logit-scale standard deviation of 0.1 for both rates and a prior correlation of 0.5. -This says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. -The small standard deviation intentionally anchors the ascertainment rates for this synthetic recovery example. -A later sensitivity analysis can relax this prior to show how weakly identified ascertainment affects the latent infection estimates. +We use a common generic baseline rate and a broad logit-scale covariance. +The prior correlation of $0.5$ says that the two rates may differ, +but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. ```python -ascertainment_sd = 0.1 +ascertainment_center = 0.004 +ascertainment_sd = 1.0 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -312,7 +316,7 @@ ascertainment_cov = jnp.array( ascertainment = JointAscertainment( name="he_ascertainment", signals=("hospital", "ed_visits"), - baseline_rates=jnp.array([true_ihr, true_iedr]), + baseline_rates=jnp.array([ascertainment_center, ascertainment_center]), covariance_matrix=ascertainment_cov, ) ``` @@ -443,7 +447,7 @@ print(f"Weekly hospital rows: {len(weekly_hosp)}") print(f"Daily ED rows: {len(daily_ed)}") print(f"Population size: {population_size:,.0f}") print() -print("Data-generating values we will try to recover:") +print("Data-generating values (used as reference points):") print(f" Initial infections per capita (I0): {true_i0:.5f}") print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") print(f" ED ascertainment (IEDR): {true_iedr:.5f}") @@ -483,16 +487,14 @@ weekly_rt_process = WeeklyTemporalProcess( ) ``` -Because this is a synthetic recovery example, we center the initial infection and ascertainment priors at the data-generating values and make them intentionally informative. -A later sensitivity analysis relaxes these priors to show how the latent infection scale depends on external information about initial prevalence and ascertainment. - Next we specify the joint ascertainment ```{python} #| code-fold: false #| label: joint-ascertainment -ascertainment_sd = 0.1 +ascertainment_center = 0.004 +ascertainment_sd = 1.0 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -504,7 +506,7 @@ ascertainment_cov = jnp.array( ascertainment = JointAscertainment( name="he_ascertainment", signals=("hospital", "ed_visits"), - baseline_rates=jnp.array([true_ihr, true_iedr]), + baseline_rates=jnp.array([ascertainment_center, ascertainment_center]), covariance_matrix=ascertainment_cov, ) ``` @@ -736,7 +738,7 @@ pyrenew_elapsed = time.time() - start_time print(f"Elapsed time: {pyrenew_elapsed:.1f} seconds") ``` -We use ArviZ for a small convergence check and a synthetic-data recovery check. +We use ArviZ for convergence checks and posterior summaries. The first `n_init` daily time points are initialization points, so we trim them from daily posterior quantities before summarizing or plotting. ```{python} @@ -780,17 +782,36 @@ pyrenew_parameter_summary = az.summary( pyrenew_parameter_summary ``` -The pyrenew-H-E model recovers the data-generating parameters. +```{python} +pyrenew_ratio = ( + idata_trimmed.posterior["he_ascertainment_hospital"] + / idata_trimmed.posterior["he_ascertainment_ed_visits"] +) + +az.summary( + az.from_dict( + {"posterior": {"IHR_over_IEDR": pyrenew_ratio.values}}, + sample_dims=["chain", "draw"], + ) +) +``` + +We compare the model estimates to the data-generating parameters. ```{python} -#| label: print-data-generatingd-params +#| label: print-data-generating-params -print("Data-generating values we will try to recover:") +print("Data-generating values (used as reference points):") print(f" Initial infections per capita (I0): {true_i0:.5f}") print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") print(f" ED ascertainment (IEDR): {true_iedr:.5f}") +print(f" IHR/IEDR: {true_ihr/true_iedr:.5f}") ``` +The pyrenew-H-E model learns the structure of the synthetic data rather than recovering every data-generating parameter. Its posterior $\mathcal{R}(t)$ trajectory follows the +true falling-rising-falling pattern, and the fitted hospital and ED signals match the observations well. However, with a diffuse ascertainment prior, the absolute IHR and +IEDR can shift away from their data-generating values because H+E observations weakly identify the absolute infection scale. + Next we inspect the estimates for $\mathcal{R}(t)$. ```{python} @@ -885,10 +906,8 @@ rt_plot ``` For this synthetic example, the sampler should mix well for the core scalar parameters. -The posterior latent infection interval should contain the true synthetic infection trajectory for most timepoints; in this run, coverage may be higher than 90% because the check uses a small, temporally correlated set of timepoints. +The latent infection interval should be interpreted as a scale diagnostic, not just a coverage check: with diffuse ascertainment, uncertainty in the absolute infection-to-observation rates propagates directly into uncertainty in latent infections. -The 90% posterior interval covers the full true latent infection trajectory in this run. -This should be interpreted together with the interval widths: the median relative width is about 33%, while uncertainty increases near the right edge of the time series. ```{python} #| label: synthetic-recovery-check @@ -996,11 +1015,14 @@ plot_df["signal"] = pd.Categorical( The relative width of the posterior interval is another simple way to inspect uncertainty in the inferred latent infections. This scales the 90% interval width by the posterior median, so the diagnostic is not dominated by periods with larger infection counts. +The interval width check shows how the ascertainment uncertainty propagates into latent infections. ```{python} #| label: fig-latent-infection-interval-width #| fig-cap: |- +#| #| Relative posterior interval width for latent infections over the +#| #| synthetic H+E fit. inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( @@ -1205,6 +1227,8 @@ production_parameter_summary The two models parameterize some quantities differently, so this table compares only the closest scalar summaries. For prod-H-E, ED ascertainment is time-varying; `IEDR_mean` is the posterior mean across that time-varying trajectory for each posterior draw. +Differences from the data-generating values should not be read as a win/loss ranking. +The PyRenew model and prod-H-E use different ascertainment structures, so this table is a compact way to compare their implied absolute scales rather than a direct test of which implementation is correct. ```{python} #| label: inference-comparison @@ -1257,7 +1281,6 @@ inference_comparison The two runtimes are comparable in this synthetic example. They should not be interpreted as a formal benchmark because pyrenew-H-E and prod-H-E use different implementations, priors, time aggregation choices, and production-oriented components. -Both fits are relatively slow for a small synthetic data set because H+E observations alone leave some absolute-scale quantities weakly identified. ```{python} #| label: runtime-comparison @@ -1272,8 +1295,10 @@ pd.DataFrame( ### Identifiability Check -The workflow tutorial explores this identifiability issue in more detail. -The short version is that H+E observations identify the latent trajectory and the relative magnitude of the two clinical signals better than they identify the absolute infection scale. +The comparison above points back to the main identifiability issue in H+E-only models. +Both fits are useful diagnostics for scale and structure, not a contest between implementations. +H+E observations identify the epidemic shape and the relative magnitude of the two clinical signals better than they identify the absolute infection scale. + Here we compare the posterior distributions of the three absolute-scale quantities that matter most for H+E alone: $I_0$, IHR, and IEDR. For prod-H-E, IEDR is time-varying, so we use `IEDR_mean` as a scalar summary for each posterior draw. @@ -1331,7 +1356,8 @@ The marginal densities show how each model places posterior mass for the absolut ```{python} #| label: identifiability-scale-densities -#| fig-cap: Posterior densities for $I_0$, IHR, and IEDR under pyrenew-H-E and +#| fig-cap: |- +#| Posterior densities for $I_0$, IHR, and IEDR under pyrenew-H-E and #| prod-H-E. Red dashed lines mark data-generating values. ( @@ -1361,7 +1387,8 @@ The red point marks the data-generating values. ```{python} #| label: identifiability-ihr-iedr -#| fig-cap: Joint posterior of hospital and ED ascertainment rates under both +#| fig-cap: |- +#| Joint posterior of hospital and ED ascertainment rates under both #| models. truth_asc_df = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) @@ -1407,3 +1434,8 @@ The ratio is the most directly interpretable relative-scale quantity for the two These plots are diagnostic rather than corrective. They show why external information matters: H+E data alone generally need either informative priors or another signal, such as wastewater or prevalence data, to anchor the absolute infection scale. + +If the PyRenew fit lies closer to the synthetic truth for some quantities, that should be interpreted in light of the data-generating process. +The synthetic data were generated with scalar hospital and ED ascertainment rates, which is closer to the `JointAscertainment` model used here than to the production H+E model. +The production model allows ED ascertainment to vary over time and defines hospital ascertainment through a multiplier on the first ED ascertainment value. +Those features are useful for production forecasting, but they are additional structure relative to this simplified synthetic generator. From 052b7532dd5eaa5832229bdd7801a40cd3d85845 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Fri, 15 May 2026 03:14:09 +0000 Subject: [PATCH 15/20] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- docs/tutorials/multisignal_H_E_model.qmd | 29 ++++++++++-------------- 1 file changed, 12 insertions(+), 17 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 46075aea..3e858bd8 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -9,7 +9,7 @@ jupyter: text_representation: extension: .qmd format_name: quarto - format_version: '1.0' + format_version: "1.0" jupytext_version: 1.19.1 kernelspec: display_name: Python 3 (ipykernel) @@ -120,13 +120,10 @@ def plot_delay_distribution(delay_pmf, title): ) ``` +This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, then fits it to a synthetic dataset. -This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, -then fits it to a synthetic dataset. - -We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// -www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the -comparison below is a structural comparison rather than a direct benchmark. +We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). +The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the comparison below is a structural comparison rather than a direct benchmark. The PyRenew model has the following components: @@ -244,8 +241,8 @@ We keep these components out of the tutorial model so the example can focus on t PyRenew's observation API accepts delay distributions as `RandomVariable` objects, so fixed delays can be replaced by inferred PMFs or custom parametric delay models, provided the sampled value is a valid fixed-length PMF. In this tutorial we keep the delays fixed. -- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment - as a multiplier of the first ED ascertainment value. In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. +- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment as a multiplier of the first ED ascertainment value. + In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. These alternatives are good candidates for model comparison and sensitivity analysis. One advantage of specifying the model with `PyrenewBuilder` is that closely related models can be built from the same components while changing only the feature under study: fixed versus inferred delays, scalar versus time-varying ascertainment, or renewal dynamics with versus without feedback. @@ -299,8 +296,7 @@ The rates are modeled jointly: `baseline_rates` gives their prior centers on the The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. We use a common generic baseline rate and a broad logit-scale covariance. -The prior correlation of $0.5$ says that the two rates may differ, -but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. +The prior correlation of $0.5$ says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. ```python ascertainment_center = 0.004 @@ -808,9 +804,9 @@ print(f" ED ascertainment (IEDR): {true_iedr:.5f}") print(f" IHR/IEDR: {true_ihr/true_iedr:.5f}") ``` -The pyrenew-H-E model learns the structure of the synthetic data rather than recovering every data-generating parameter. Its posterior $\mathcal{R}(t)$ trajectory follows the -true falling-rising-falling pattern, and the fitted hospital and ED signals match the observations well. However, with a diffuse ascertainment prior, the absolute IHR and -IEDR can shift away from their data-generating values because H+E observations weakly identify the absolute infection scale. +The pyrenew-H-E model learns the structure of the synthetic data rather than recovering every data-generating parameter. +Its posterior $\mathcal{R}(t)$ trajectory follows the true falling-rising-falling pattern, and the fitted hospital and ED signals match the observations well. +However, with a diffuse ascertainment prior, the absolute IHR and IEDR can shift away from their data-generating values because H+E observations weakly identify the absolute infection scale. Next we inspect the estimates for $\mathcal{R}(t)$. @@ -908,7 +904,6 @@ rt_plot For this synthetic example, the sampler should mix well for the core scalar parameters. The latent infection interval should be interpreted as a scale diagnostic, not just a coverage check: with diffuse ascertainment, uncertainty in the absolute infection-to-observation rates propagates directly into uncertainty in latent infections. - ```{python} #| label: synthetic-recovery-check @@ -1020,9 +1015,9 @@ The interval width check shows how the ascertainment uncertainty propagates into ```{python} #| label: fig-latent-infection-interval-width #| fig-cap: |- -#| +#| #| Relative posterior interval width for latent infections over the -#| +#| #| synthetic H+E fit. inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( From 07941172db098ad94653432c27577addbf512633 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Thu, 14 May 2026 23:20:00 -0400 Subject: [PATCH 16/20] more unit tests --- docs/tutorials/multisignal_H_E_model.qmd | 31 ++++++++++-------------- test/test_pyrenew_builder.py | 28 +++++++++++++++++++++ 2 files changed, 41 insertions(+), 18 deletions(-) diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index 46075aea..e7e47633 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -9,7 +9,7 @@ jupyter: text_representation: extension: .qmd format_name: quarto - format_version: '1.0' + format_version: "1.0" jupytext_version: 1.19.1 kernelspec: display_name: Python 3 (ipykernel) @@ -120,13 +120,10 @@ def plot_delay_distribution(delay_pmf, title): ) ``` +This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, then fits it to a synthetic dataset. -This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, -then fits it to a synthetic dataset. - -We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// -www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the -comparison below is a structural comparison rather than a direct benchmark. +We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). +The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the comparison below is a structural comparison rather than a direct benchmark. The PyRenew model has the following components: @@ -244,8 +241,8 @@ We keep these components out of the tutorial model so the example can focus on t PyRenew's observation API accepts delay distributions as `RandomVariable` objects, so fixed delays can be replaced by inferred PMFs or custom parametric delay models, provided the sampled value is a valid fixed-length PMF. In this tutorial we keep the delays fixed. -- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment - as a multiplier of the first ED ascertainment value. In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. +- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment as a multiplier of the first ED ascertainment value. + In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. These alternatives are good candidates for model comparison and sensitivity analysis. One advantage of specifying the model with `PyrenewBuilder` is that closely related models can be built from the same components while changing only the feature under study: fixed versus inferred delays, scalar versus time-varying ascertainment, or renewal dynamics with versus without feedback. @@ -299,8 +296,7 @@ The rates are modeled jointly: `baseline_rates` gives their prior centers on the The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. We use a common generic baseline rate and a broad logit-scale covariance. -The prior correlation of $0.5$ says that the two rates may differ, -but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. +The prior correlation of $0.5$ says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. ```python ascertainment_center = 0.004 @@ -805,12 +801,12 @@ print("Data-generating values (used as reference points):") print(f" Initial infections per capita (I0): {true_i0:.5f}") print(f" Hospital ascertainment (IHR): {true_ihr:.5f}") print(f" ED ascertainment (IEDR): {true_iedr:.5f}") -print(f" IHR/IEDR: {true_ihr/true_iedr:.5f}") +print(f" IHR/IEDR: {true_ihr / true_iedr:.5f}") ``` -The pyrenew-H-E model learns the structure of the synthetic data rather than recovering every data-generating parameter. Its posterior $\mathcal{R}(t)$ trajectory follows the -true falling-rising-falling pattern, and the fitted hospital and ED signals match the observations well. However, with a diffuse ascertainment prior, the absolute IHR and -IEDR can shift away from their data-generating values because H+E observations weakly identify the absolute infection scale. +The pyrenew-H-E model learns the structure of the synthetic data rather than recovering every data-generating parameter. +Its posterior $\mathcal{R}(t)$ trajectory follows the true falling-rising-falling pattern, and the fitted hospital and ED signals match the observations well. +However, with a diffuse ascertainment prior, the absolute IHR and IEDR can shift away from their data-generating values because H+E observations weakly identify the absolute infection scale. Next we inspect the estimates for $\mathcal{R}(t)$. @@ -908,7 +904,6 @@ rt_plot For this synthetic example, the sampler should mix well for the core scalar parameters. The latent infection interval should be interpreted as a scale diagnostic, not just a coverage check: with diffuse ascertainment, uncertainty in the absolute infection-to-observation rates propagates directly into uncertainty in latent infections. - ```{python} #| label: synthetic-recovery-check @@ -1020,9 +1015,9 @@ The interval width check shows how the ascertainment uncertainty propagates into ```{python} #| label: fig-latent-infection-interval-width #| fig-cap: |- -#| +#| #| Relative posterior interval width for latent infections over the -#| +#| #| synthetic H+E fit. inf_relative_width = (inf_q95[:n_compare] - inf_q05[:n_compare]) / np.maximum( diff --git a/test/test_pyrenew_builder.py b/test/test_pyrenew_builder.py index 1a327678..e81b5c54 100644 --- a/test/test_pyrenew_builder.py +++ b/test/test_pyrenew_builder.py @@ -814,6 +814,34 @@ def test_pad_aggregated_observations_unknown_observation_raises( obs_start_date=None, ) + def test_pad_aggregated_observations_rejects_irregular_reporting_schedule(self): + """Aggregated padding only supports regular reporting schedules.""" + builder = _coherence_builder( + single_rt_process=fixed_ar1(autoreg=0.9, innovation_sd=0.05), + observations=[ + PopulationCounts( + name="hospital", + ascertainment_rate_rv=DeterministicVariable("hospital_ihr", 0.01), + delay_distribution_rv=DeterministicPMF( + "hospital_delay", jnp.array([1.0]) + ), + noise=PoissonNoise(), + aggregation="weekly", + reporting_schedule="irregular", + start_dow=MMWR_WEEK, + ) + ], + ) + model = builder.build() + + with pytest.raises(ValueError, match="requires a regular reporting schedule"): + model.pad_aggregated_observations( + jnp.array([1, 2, 3]), + observation_name="hospital", + n_days_post_init=28, + obs_start_date=date(2024, 1, 7), + ) + def test_pad_aggregated_observations_weekly_requires_obs_start_date(self): """Calendar-aligned aggregated padding requires obs_start_date.""" builder = _coherence_builder( From 90528f132acd44e5ae947a514b649e72f6c8ee7b Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Fri, 15 May 2026 13:58:42 -0400 Subject: [PATCH 17/20] revised tutorial for more comparisons, added data --- docs/tutorials/.gitignore | 6 + .../tutorials/building_multisignal_models.qmd | 2 + docs/tutorials/data/multisignal_he/README.md | 17 + .../custom_he_fit_artifacts.npz | Bin 0 -> 3800771 bytes .../multisignal_he/custom_he_scalar_draws.csv | 2001 +++++++++++++++++ .../linked_pyrenew_fit_artifacts.npz | Bin 0 -> 2700240 bytes .../data/multisignal_he/metadata.json | 6 + .../multisignal_he/pyrenew_fit_artifacts.npz | Bin 0 -> 2682871 bytes .../data/multisignal_he/timings.json | 23 + docs/tutorials/multisignal_H_E_model.qmd | 908 ++++++-- .../generate_multisignal_he_artifacts.py | 585 +++++ 11 files changed, 3362 insertions(+), 186 deletions(-) create mode 100644 docs/tutorials/data/multisignal_he/README.md create mode 100644 docs/tutorials/data/multisignal_he/custom_he_fit_artifacts.npz create mode 100644 docs/tutorials/data/multisignal_he/custom_he_scalar_draws.csv create mode 100644 docs/tutorials/data/multisignal_he/linked_pyrenew_fit_artifacts.npz create mode 100644 docs/tutorials/data/multisignal_he/metadata.json create mode 100644 docs/tutorials/data/multisignal_he/pyrenew_fit_artifacts.npz create mode 100644 docs/tutorials/data/multisignal_he/timings.json create mode 100644 docs_scripts/generate_multisignal_he_artifacts.py diff --git a/docs/tutorials/.gitignore b/docs/tutorials/.gitignore index bc25cb69..909fcf0e 100644 --- a/docs/tutorials/.gitignore +++ b/docs/tutorials/.gitignore @@ -8,3 +8,9 @@ _compiled *.ipynb *.py *.md +!data/ +!data/multisignal_he/ +!data/multisignal_he/README.md +!data/multisignal_he/*.csv +!data/multisignal_he/*.json +!data/multisignal_he/*.npz diff --git a/docs/tutorials/building_multisignal_models.qmd b/docs/tutorials/building_multisignal_models.qmd index 7490b9e4..c39d3381 100644 --- a/docs/tutorials/building_multisignal_models.qmd +++ b/docs/tutorials/building_multisignal_models.qmd @@ -4,6 +4,8 @@ format: gfm: code-fold: true engine: jupyter +execute: + eval: false jupyter: jupytext: text_representation: diff --git a/docs/tutorials/data/multisignal_he/README.md b/docs/tutorials/data/multisignal_he/README.md new file mode 100644 index 00000000..dc738e28 --- /dev/null +++ b/docs/tutorials/data/multisignal_he/README.md @@ -0,0 +1,17 @@ +# Multisignal H+E tutorial artifacts + +This directory stores precomputed fit artifacts for +`docs/tutorials/multisignal_H_E_model.qmd`. + +Regenerate the artifacts from the repository root with: + +```bash +uv run python docs_scripts/generate_multisignal_he_artifacts.py +``` + +The generator must be run on a machine that can fit the PyRenew tutorial +models, including the linked-ascertainment variant, and the custom NumPyro H+E +model. 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b/docs/tutorials/data/multisignal_he/timings.json new file mode 100644 index 00000000..003dc685 --- /dev/null +++ b/docs/tutorials/data/multisignal_he/timings.json @@ -0,0 +1,23 @@ +{ + "pyrenew-H-E": { + "elapsed_seconds": 65.24473595619202, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42 + }, + "custom-H-E": { + "elapsed_seconds": 67.23963212966919, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42 + }, + "linked-pyrenew-H-E": { + "elapsed_seconds": 70.60192012786865, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42 + } +} diff --git a/docs/tutorials/multisignal_H_E_model.qmd b/docs/tutorials/multisignal_H_E_model.qmd index e7e47633..5bd7175d 100644 --- a/docs/tutorials/multisignal_H_E_model.qmd +++ b/docs/tutorials/multisignal_H_E_model.qmd @@ -22,8 +22,10 @@ jupyter: #| output: false from datetime import date -import time +import json +from pathlib import Path import warnings +from collections.abc import Mapping import arviz as az import numpyro @@ -33,7 +35,6 @@ numpyro.enable_x64() import jax import jax.numpy as jnp -import jax.random as random import numpy as np import numpyro.distributions as dist import pandas as pd @@ -41,8 +42,10 @@ import plotnine as p9 warnings.filterwarnings("ignore") +ARTIFACT_DIR = Path("data/multisignal_he") + from _tutorial_theme import theme_tutorial -from pyrenew.ascertainment import JointAscertainment +from pyrenew.ascertainment import AscertainmentModel, JointAscertainment from pyrenew.datasets import ( load_synthetic_daily_infections, load_example_infection_admission_interval, @@ -52,6 +55,7 @@ from pyrenew.datasets import ( ) from pyrenew.deterministic import DeterministicPMF, DeterministicVariable from pyrenew.latent import DifferencedAR1, PopulationInfections, WeeklyTemporalProcess +from pyrenew.metaclass import RandomVariable from pyrenew.model import PyrenewBuilder from pyrenew.observation import NegativeBinomialNoise, PopulationCounts from pyrenew.randomvariable import DistributionalVariable, TransformedVariable @@ -122,8 +126,8 @@ def plot_delay_distribution(delay_pmf, title): This tutorial builds a small hospital + emergency department model using PyRenew's high-level components and `PyrenewBuilder` class to specify a `MultiSignalModel` object, then fits it to a synthetic dataset. -We then compare this PyRenew model with the production model used to produce weekly short-term forecasts of Covid, flu, and RSV for the [CDC ensemble forecast hubs](https:// www.cdc.gov/cfa-modeling-and-forecasting/covid19-data-vis). -The production model is coded directly in NumPyro and uses a more specialized H+E ascertainment structure, so the comparison below is a structural comparison rather than a direct benchmark. +We then compare this PyRenew model with a custom H+E model coded directly in NumPyro. +The custom model uses a more specialized H+E ascertainment structure, so the comparison below is a structural comparison rather than a direct benchmark. The PyRenew model has the following components: @@ -144,7 +148,7 @@ Both observations receive the same aggregate infection trajectory, but they map flowchart TB subgraph Latent["Latent Infection Process"] - R["Weekly DifferencedAR1
    for log $\\mathcal{R}(t)$"] + R["Weekly DifferencedAR1
    for log Rt"] I["Daily renewal equation
    (PopulationInfections)"] end @@ -229,9 +233,9 @@ A coarser $\mathcal{R}(t)$ cadence reduces the number of latent dimensions sampl It also regularizes the latent process: the model cannot use day-to-day changes in $\mathcal{R}(t)$ to explain short-term noise or reporting artifacts. This can improve sampling and forecast stability when the data do not support daily transmission changes, but it is a modeling assumption rather than a universal improvement. -### Production Extensions +### Custom NumPyro Extensions -The model implemented here uses the same high-level H+E structure as the production model, but omits several production-specific components. +The model implemented here uses the same high-level H+E structure as the custom NumPyro model, but omits several model-specific components. We keep these components out of the tutorial model so the example can focus on the mixed daily/weekly observation cadence. - **Infection feedback**: the latent infection process includes a state-dependent damping term, so higher infection levels can reduce future transmission. @@ -241,7 +245,7 @@ We keep these components out of the tutorial model so the example can focus on t PyRenew's observation API accepts delay distributions as `RandomVariable` objects, so fixed delays can be replaced by inferred PMFs or custom parametric delay models, provided the sampled value is a valid fixed-length PMF. In this tutorial we keep the delays fixed. -- **Time-varying ED ascertainment with a hospital-to-ED link**: the production H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment as a multiplier of the first ED ascertainment value. +- **Time-varying ED ascertainment with a hospital-to-ED link**: the custom H+E model uses a time-varying ED ascertainment rate and defines scalar hospital ascertainment as a multiplier of the first ED ascertainment value. In this tutorial model, `JointAscertainment` instead samples two scalar rates from one joint prior. These alternatives are good candidates for model comparison and sensitivity analysis. @@ -266,7 +270,7 @@ It requires the following: We use the same seven-day generation interval PMF used to generate the synthetic data; this PMF also matches the default/test-data parameterization used in the H+E pipeline. For the initial infection level and initial $\mathcal{R}(t)$ value, we specify priors rather than fixing them to the true synthetic-data values. -Following the production model, we use a weekly differenced AR(1) process for log $\mathcal{R}(t)$ temporal dynamics. +Following the custom NumPyro model, we use a weekly differenced AR(1) process for log $\mathcal{R}(t)$ temporal dynamics. The differenced process allows persistent upward or downward movement. The weekly wrapper estimates one latent $\mathcal{R}(t)$ state per week and broadcasts the weekly trajectory to the daily renewal equation. @@ -295,12 +299,12 @@ For each signal, the model samples a scalar ascertainment rate. The rates are modeled jointly: `baseline_rates` gives their prior centers on the probability scale, while `covariance_matrix` describes uncertainty and dependence on the logit scale. The logit-scale representation keeps sampled rates between 0 and 1 after transformation back to the probability scale. -We use a common generic baseline rate and a broad logit-scale covariance. +We use a common generic baseline rate and a logit-scale standard deviation of $0.3$, matching the prior scale used by custom-H-E. The prior correlation of $0.5$ says that the two rates may differ, but prior draws that are high for hospital ascertainment also tend to be high for ED ascertainment. ```python ascertainment_center = 0.004 -ascertainment_sd = 1.0 +ascertainment_sd = 0.3 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -348,7 +352,7 @@ The ED observation model includes $7$ multiplicative effects, one for each day o The day-of-week effect multiplies the expected daily ED visits before the count observation model is applied. Each day of the week has its own multiplier: a value above 1 increases expected ED visits on that day, and a value below 1 decreases them. -Following the production H+E model, we place a symmetric Dirichlet prior with concentration value $5$ on these weights and scale the draw by $7$. +Following the custom H+E model, we place a symmetric Dirichlet prior with concentration value $5$ on these weights and scale the draw by $7$. Because the prior is symmetric, it does not assume in advance which days have higher or lower ED volume. It centers the multipliers near equal day-of-week effects while still allowing per-day variation. @@ -382,7 +386,7 @@ ed_obs = PopulationCounts( Count observation processes also support an optional `right_truncation_rv` for incomplete recent reports. The synthetic ED data used here are complete, so the tutorial model omits right truncation. -The production H+E model applies a right-truncation adjustment to recent ED observations when reports are incomplete; the reporting-delay PMF is supplied as an external input rather than inferred by the model. +The custom H+E model applies a right-truncation adjustment to recent ED observations when reports are incomplete; the reporting-delay PMF is supplied as an external input rather than inferred by the model. #### Hospital Admissions @@ -490,7 +494,7 @@ Next we specify the joint ascertainment #| label: joint-ascertainment ascertainment_center = 0.004 -ascertainment_sd = 1.0 +ascertainment_sd = 0.3 ascertainment_corr = 0.5 ascertainment_cov = jnp.array( [ @@ -705,66 +709,162 @@ The expected pattern is: - `hospital_predicted` contains complete weekly hospital reporting periods only, so it can be one shorter than `log_rt_single_weekly`. - `ed_visits_predicted` is daily, matching the ED data. -### Fit pyrenew-H-E +### Load Precomputed Fits -We now run MCMC on the synthetic hospital and ED observations. -The model arguments are the same ones used in the trace check above. +The PyRenew and custom NumPyro fits are run offline and saved as small, portable artifacts. +This keeps the documentation build independent of the local pipeline software needed by the custom NumPyro model. +To regenerate the artifacts, run `uv run python docs_scripts/generate_multisignal_he_artifacts.py` from the repository root on a machine that has access to both model implementations. ```{python} #| code-fold: false -#| label: fit-synthetic-data +#| label: load-fit-artifacts + +required_artifacts = [ + ARTIFACT_DIR / "pyrenew_fit_artifacts.npz", + ARTIFACT_DIR / "linked_pyrenew_fit_artifacts.npz", + ARTIFACT_DIR / "custom_he_scalar_draws.csv", + ARTIFACT_DIR / "custom_he_fit_artifacts.npz", + ARTIFACT_DIR / "timings.json", +] +missing_artifacts = [path for path in required_artifacts if not path.exists()] +if missing_artifacts: + missing_text = "\n".join(f" - {path}" for path in missing_artifacts) + raise FileNotFoundError( + "The multisignal H+E tutorial uses precomputed fit artifacts.\n" + "Run `uv run python docs_scripts/generate_multisignal_he_artifacts.py` " + "locally and commit the generated files.\n" + f"Missing artifacts:\n{missing_text}" + ) -jax.clear_caches() +pyrenew_artifacts = np.load(ARTIFACT_DIR / "pyrenew_fit_artifacts.npz") +linked_pyrenew_artifacts = np.load(ARTIFACT_DIR / "linked_pyrenew_fit_artifacts.npz") +custom_scalar_draws = pd.read_csv(ARTIFACT_DIR / "custom_he_scalar_draws.csv") +custom_artifacts = np.load(ARTIFACT_DIR / "custom_he_fit_artifacts.npz") +custom_latent_infections = custom_artifacts["latent_infections_trimmed"] +if np.nanmax(custom_latent_infections) < 1.0: + custom_latent_infections = population_size * custom_latent_infections +if "rt_trimmed" in custom_artifacts: + custom_rt = custom_artifacts["rt_trimmed"] +else: + custom_rt = None -start_time = time.time() -model.run( - num_warmup=500, - num_samples=500, - rng_key=random.PRNGKey(42), - mcmc_args={"num_chains": 4, "progress_bar": False}, - n_days_post_init=N_DAYS_FIT, - population_size=population_size, - obs_start_date=OBS_START_DATE, - hospital={"obs": hospital_observed}, - ed_visits={"obs": ed_observed}, -) -samples = model.mcmc.get_samples() -jax.block_until_ready(samples) -pyrenew_elapsed = time.time() - start_time -print(f"Elapsed time: {pyrenew_elapsed:.1f} seconds") +with open(ARTIFACT_DIR / "timings.json") as file: + timings = json.load(file) + +pyrenew_elapsed = timings["pyrenew-H-E"]["elapsed_seconds"] +linked_pyrenew_elapsed = timings["linked-pyrenew-H-E"]["elapsed_seconds"] +custom_elapsed = timings["custom-H-E"]["elapsed_seconds"] + +print(f"pyrenew-H-E elapsed time: {pyrenew_elapsed:.1f} seconds") +print(f"linked-pyrenew-H-E elapsed time: {linked_pyrenew_elapsed:.1f} seconds") +print(f"custom-H-E elapsed time: {custom_elapsed:.1f} seconds") ``` -We use ArviZ for convergence checks and posterior summaries. -The first `n_init` daily time points are initialization points, so we trim them from daily posterior quantities before summarizing or plotting. +The saved artifacts include posterior draws for the PyRenew model and reduced scalar posterior draws for the custom NumPyro model. +We keep the custom artifact intentionally narrow: the tutorial only needs scalar summaries for the comparison plots, and avoiding pickled model objects keeps the docs build independent of the custom model's Python package layout. ```{python} -#| label: arviz-checks-recovered-params +#| label: build-artifact-idata + +n_init = int(pyrenew_artifacts["n_init"]) + +if {"chain", "draw"}.issubset(custom_scalar_draws.columns): + custom_scalar_draws = custom_scalar_draws.sort_values(["chain", "draw"]) + n_custom_chains = custom_scalar_draws["chain"].nunique() + n_custom_draws = custom_scalar_draws["draw"].nunique() + + def custom_draw_array(column): + return ( + custom_scalar_draws[column] + .to_numpy() + .reshape( + n_custom_chains, + n_custom_draws, + ) + ) -n_init = model.latent.n_initialization_points +else: + def custom_draw_array(column): + return custom_scalar_draws[column].to_numpy()[None, :] -def trim_time(ds): - if "time" in ds.dims: - ds = ds.isel(time=slice(n_init, None)) - ds = ds.assign_coords(time=range(ds.sizes["time"])) - return ds +idata = az.from_dict( + { + "posterior": { + "PopulationInfections::rt_single": pyrenew_artifacts["rt_single_full"], + } + }, + dims={"PopulationInfections::rt_single": ["time", "dummy"]}, +) -idata = az.from_numpyro( - model.mcmc, +idata_trimmed = az.from_dict( + { + "posterior": { + "I0": pyrenew_artifacts["I0"], + "log_rt_time_0": pyrenew_artifacts["log_rt_time_0"], + "he_ascertainment_hospital": pyrenew_artifacts["he_ascertainment_hospital"], + "he_ascertainment_ed_visits": pyrenew_artifacts[ + "he_ascertainment_ed_visits" + ], + "PopulationInfections::rt_single": pyrenew_artifacts["rt_single_trimmed"], + "latent_infections": pyrenew_artifacts["latent_infections_trimmed"], + } + }, dims={ + "PopulationInfections::rt_single": ["time", "dummy"], "latent_infections": ["time"], - "PopulationInfections::infections_aggregate": ["time"], - "PopulationInfections::log_rt_single": ["time", "dummy"], + }, +) + +linked_idata_trimmed = az.from_dict( + { + "posterior": { + "I0": linked_pyrenew_artifacts["I0"], + "log_rt_time_0": linked_pyrenew_artifacts["log_rt_time_0"], + "he_ascertainment_hospital": linked_pyrenew_artifacts[ + "he_ascertainment_hospital" + ], + "he_ascertainment_ed_visits": linked_pyrenew_artifacts[ + "he_ascertainment_ed_visits" + ], + "ihr_rel_iedr": linked_pyrenew_artifacts["ihr_rel_iedr"], + "PopulationInfections::rt_single": linked_pyrenew_artifacts[ + "rt_single_trimmed" + ], + "latent_infections": linked_pyrenew_artifacts["latent_infections_trimmed"], + } + }, + dims={ "PopulationInfections::rt_single": ["time", "dummy"], - "log_rt_single_weekly": ["rt_week", "dummy"], - "hospital_predicted_daily": ["time"], - "hospital_predicted": ["week"], - "ed_visits_predicted": ["time"], + "latent_infections": ["time"], + }, +) + +custom_scalar_idata = az.from_dict( + { + "posterior": { + "I0": custom_draw_array("I0"), + "IHR": custom_draw_array("IHR"), + "IEDR_first_day": custom_draw_array("IEDR_first_day"), + "IEDR_mean": custom_draw_array("IEDR_mean"), + "latent_infections": custom_latent_infections, + **({"rt": custom_rt} if custom_rt is not None else {}), + } }, + dims={ + "latent_infections": ["time"], + **({"rt": ["time"]} if custom_rt is not None else {}), + }, + sample_dims=["chain", "draw"], ) -idata_trimmed = idata.map_over_datasets(trim_time) -idata_trimmed.posterior["I0"] = 1 / (1 + np.exp(-idata_trimmed.posterior["logit_I0"])) +``` + +We use ArviZ for convergence checks and posterior summaries. +The first `n_init` daily time points are initialization points, so the saved daily posterior quantities are trimmed before summarizing or plotting. + +```{python} +#| label: arviz-checks-recovered-params pyrenew_parameter_summary = az.summary( idata_trimmed, @@ -901,8 +1001,93 @@ rt_plot = ( rt_plot ``` +Rt is useful as a companion to latent infections because it focuses on epidemic shape rather than absolute infection scale. +The plot below compares Rt across all three models against the synthetic data-generating Rt trajectory. +The dashed black line is the synthetic truth, and the gray horizontal line marks Rt = 1. + +```{python} +#| label: all-model-rt-data + +true_rt = daily_infections["true_rt"].to_numpy() + +pyrenew_rt = idata_trimmed.posterior["PopulationInfections::rt_single"].squeeze() +pyrenew_rt_q = pyrenew_rt.quantile([0.05, 0.5, 0.95], dim=["chain", "draw"]) + +linked_rt = linked_idata_trimmed.posterior["PopulationInfections::rt_single"].squeeze() +linked_rt_q = linked_rt.quantile([0.05, 0.5, 0.95], dim=["chain", "draw"]) + +rt_comparison_parts = [ + pd.DataFrame( + { + "model": "pyrenew-H-E", + "day": np.arange(N_DAYS_FIT), + "q05": pyrenew_rt_q.sel(quantile=0.05).values[:N_DAYS_FIT], + "median": pyrenew_rt_q.sel(quantile=0.5).values[:N_DAYS_FIT], + "q95": pyrenew_rt_q.sel(quantile=0.95).values[:N_DAYS_FIT], + "truth": true_rt[:N_DAYS_FIT], + } + ), + pd.DataFrame( + { + "model": "linked-pyrenew-H-E", + "day": np.arange(N_DAYS_FIT), + "q05": linked_rt_q.sel(quantile=0.05).values[:N_DAYS_FIT], + "median": linked_rt_q.sel(quantile=0.5).values[:N_DAYS_FIT], + "q95": linked_rt_q.sel(quantile=0.95).values[:N_DAYS_FIT], + "truth": true_rt[:N_DAYS_FIT], + } + ), +] + +if "rt" in custom_scalar_idata.posterior: + custom_rt = custom_scalar_idata.posterior["rt"].squeeze() + custom_rt_q = custom_rt.quantile([0.05, 0.5, 0.95], dim=["chain", "draw"]) + rt_comparison_parts.append( + pd.DataFrame( + { + "model": "custom-H-E", + "day": np.arange(N_DAYS_FIT), + "q05": custom_rt_q.sel(quantile=0.05).values[:N_DAYS_FIT], + "median": custom_rt_q.sel(quantile=0.5).values[:N_DAYS_FIT], + "q95": custom_rt_q.sel(quantile=0.95).values[:N_DAYS_FIT], + "truth": true_rt[:N_DAYS_FIT], + } + ) + ) + +rt_comparison_df = pd.concat(rt_comparison_parts, ignore_index=True) +``` + +```{python} +#| label: all-model-rt +#| fig-cap: Posterior Rt under the two PyRenew parameterizations and custom-H-E. +#| The dashed black line is the synthetic data-generating Rt trajectory. + +( + p9.ggplot(rt_comparison_df, p9.aes(x="day")) + + p9.geom_ribbon( + p9.aes(ymin="q05", ymax="q95"), + fill="steelblue", + alpha=0.25, + ) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.geom_hline(yintercept=1.0, color="gray", linetype="dotted", alpha=0.8) + + p9.facet_wrap("~model", ncol=1) + + p9.labs( + x="Day", + y="Rt", + title="Posterior Rt vs Synthetic Truth", + ) + + theme_tutorial +) +``` + For this synthetic example, the sampler should mix well for the core scalar parameters. -The latent infection interval should be interpreted as a scale diagnostic, not just a coverage check: with diffuse ascertainment, uncertainty in the absolute infection-to-observation rates propagates directly into uncertainty in latent infections. +The latent infection interval should be interpreted as a scale diagnostic, not just a coverage check: uncertainty in the absolute infection-to-observation rates propagates directly into uncertainty in latent infections. +The direction of the scale trade-off is simple. +For hospital and ED count observations, the expected count is approximately latent infections times an ascertainment rate, after delay convolution and calendar aggregation. +If the posterior puts IHR or IEDR below the data-generating value, the model can still match the observed counts by putting latent infections above the data-generating trajectory. ```{python} #| label: synthetic-recovery-check @@ -1081,149 +1266,437 @@ for row in period_summary_df.itertuples(index=False): ) ``` -### Fit prod-H-E +### Linked PyRenew Ascertainment -The bundled synthetic H+E data can also be exported to the `model_dir` layout expected by the production HEW fitting code. -This requires local checkouts of `pyrenew-multisignal` and `cfa-stf-routine-forecasting`. +The joint ascertainment fit above leaves substantial uncertainty in the absolute IHR and IEDR levels. +That is expected for H+E-only data: counts constrain the relative scale of the two clinical signals more strongly than they constrain the absolute infection-to-observation rates. + +A linked ascertainment component makes that relative scale explicit. +Instead of sampling hospital and ED ascertainment as two rates from one joint prior, it samples ED ascertainment as a base rate and samples the multiplier $IHR / IEDR$ directly. +Hospital ascertainment is then computed as `IEDR * (IHR / IEDR)`. ```{python} -#| label: run-production-hew +#| label: linked-ascertainment-class #| code-fold: false -from pathlib import Path -import sys -import contextlib -import io -import pickle -import runpy -import time +class RatioLinkedAscertainment(AscertainmentModel): + """Two ascertainment rates expressed as a base rate and a ratio.""" + + def __init__( + self, + name: str, + base_signal: str, + linked_signal: str, + base_rate_rv: RandomVariable, + ratio_rv: RandomVariable, + ) -> None: + super().__init__(name=name, signals=(base_signal, linked_signal)) + self.base_signal = base_signal + self.linked_signal = linked_signal + self.base_rate_rv = base_rate_rv + self.ratio_rv = ratio_rv + + def sample(self, **kwargs: object) -> Mapping[str, object]: + base_rate = self.base_rate_rv() + ratio = self.ratio_rv() + linked_rate = base_rate * ratio + numpyro.deterministic(f"{self.name}_{self.base_signal}", base_rate) + numpyro.deterministic(f"{self.name}_{self.linked_signal}", linked_rate) + return {self.base_signal: base_rate, self.linked_signal: linked_rate} +``` + +This component follows the same registration pattern as `JointAscertainment`. +The observation processes still call `ascertainment.for_signal(...)`, and `PyrenewBuilder` still receives the component through `builder.add_ascertainment(...)`. + +To isolate the effect of the ascertainment parameterization, the linked model keeps the same latent process, observation processes, and initial-infection prior as `pyrenew-H-E`. +The ED base-rate prior has the same logit-scale center and $0.3$ standard deviation used by the marginal rates in `JointAscertainment` and custom-H-E. +The ratio prior places its mode at equal hospital and ED ascertainment rates while still allowing roughly two-fold variation in either direction. +```{python} +#| label: linked-ascertainment-model +#| code-fold: false -from pyrenew.datasets import write_synthetic_hew_model_dir +linked_iedr_rv = TransformedVariable( + name="iedr", + base_rv=DistributionalVariable( + name="logit_iedr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(ascertainment_center), + ascertainment_sd, + ), + ), + transforms=transformation.SigmoidTransform(), +) -PYRENEW_MULTISIGNAL_DIR = Path("~/github/CDC/pyrenew-multisignal").expanduser() -CFA_STF_DIR = Path("~/github/CDC/cfa-stf-routine-forecasting").expanduser() +linked_ratio_rv = DistributionalVariable( + "ihr_rel_iedr", + dist.LogNormal(0.0, jnp.log(jnp.sqrt(2.0))), +) -sys.path.insert(0, str(PYRENEW_MULTISIGNAL_DIR / "src")) -sys.path.insert(0, str(CFA_STF_DIR)) +linked_ascertainment = RatioLinkedAscertainment( + name="he_ascertainment", + base_signal="ed_visits", + linked_signal="hospital", + base_rate_rv=linked_iedr_rv, + ratio_rv=linked_ratio_rv, +) -from pipelines.pyrenew_hew.fit_pyrenew_model import fit_and_save_model +linked_hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=linked_ascertainment.for_signal("hospital"), + delay_distribution_rv=DeterministicPMF("hosp_delay", hosp_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) + ), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, +) -model_dir = Path("scratch/synthetic_pyrenew_hew_model") +linked_ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=linked_ascertainment.for_signal("ed_visits"), + delay_distribution_rv=DeterministicPMF("ed_delay", ed_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) + ), + day_of_week_rv=ed_day_of_week_rv, +) -write_synthetic_hew_model_dir( - model_dir, - overwrite=True, - # Optional: use downstream priors instead of the PyRenew synthetic default. - # priors_path=CFA_STF_DIR / "pipelines/priors/test_data_generation_priors.py", +linked_builder = PyrenewBuilder() +linked_builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=I0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, ) +linked_builder.add_ascertainment(linked_ascertainment) +linked_builder.add_observation(linked_hospital_obs) +linked_builder.add_observation(linked_ed_obs) + +linked_model = linked_builder.build() +print(f"Initialization points: {linked_model.latent.n_initialization_points}") +``` -jax.clear_caches() +Before fitting, a seeded trace confirms that the linked ascertainment sites and mixed-cadence observation sites are present. -stdout = io.StringIO() -stderr = io.StringIO() -start_time = time.time() +```{python} +#| label: trace-linked-model +#| code-fold: false -try: - with contextlib.redirect_stdout(stdout), contextlib.redirect_stderr(stderr): - fit_and_save_model( - model_dir=model_dir, - fit_ed_visits=True, - fit_hospital_admissions=True, - fit_wastewater=False, - n_warmup=500, - n_samples=500, - n_chains=4, - rng_key=42, +with numpyro.handlers.seed(rng_seed=0): + with numpyro.handlers.trace() as linked_trace: + linked_model.sample( + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, ) - # Usually fit_and_save_model is already synchronous, but this is harmless on newer JAX versions. - if hasattr(jax, "effects_barrier"): - jax.effects_barrier() +for site in [ + "logit_iedr", + "ihr_rel_iedr", + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "latent_infections", + "hospital_predicted", + "ed_visits_predicted", +]: + print(f"{site}: {linked_trace[site]['value'].shape}") +``` - production_elapsed = time.time() - start_time - print(f"Elapsed time: {production_elapsed:.1f} seconds") +The linked model is fit by the artifact-generation script with the same MCMC settings as the other fits. +The rendered tutorial loads those draws from disk. -except Exception: - print("fit_and_save_model failed. Last captured stdout:") - print(stdout.getvalue()[-4000:]) - print("Last captured stderr:") - print(stderr.getvalue()[-4000:]) - raise +```{python} +#| label: linked-summary + +linked_parameter_summary = az.summary( + linked_idata_trimmed, + var_names=[ + "I0", + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "ihr_rel_iedr", + "log_rt_time_0", + ], +) +linked_parameter_summary ``` -The exporter writes `priors.py`, `metadata.json`, `data/data_for_model_fit.json`, and `data/model_params.json`. -The production fit writes posterior samples to `posterior_samples.pickle` inside the same `model_dir`. +The linked parameterization samples the hospital-to-ED ratio directly. +In this synthetic fit, that gives slightly cleaner sampler diagnostics for the main ascertainment quantities than the more diffuse joint parameterization. -We can load that saved MCMC object into ArviZ and summarize the comparable scalar parameters. -In prod-H-E, the ED ascertainment is time-varying, so we summarize both the first-day IEDR and its posterior mean over time. +```{python} +#| label: linked-sampler-diagnostics + +sampler_diagnostics = pd.DataFrame( + [ + { + "model": "pyrenew-H-E", + "max_r_hat": float( + az.summary( + idata_trimmed, + var_names=[ + "he_ascertainment_hospital", + "he_ascertainment_ed_visits", + ], + )["r_hat"] + .astype(float) + .max() + ), + "min_bulk_ess": float( + az.summary( + idata_trimmed, + var_names=[ + "he_ascertainment_hospital", + "he_ascertainment_ed_visits", + ], + )["ess_bulk"] + .astype(float) + .min() + ), + }, + { + "model": "linked-pyrenew-H-E", + "max_r_hat": float( + az.summary( + linked_idata_trimmed, + var_names=[ + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "ihr_rel_iedr", + ], + )["r_hat"] + .astype(float) + .max() + ), + "min_bulk_ess": float( + az.summary( + linked_idata_trimmed, + var_names=[ + "he_ascertainment_ed_visits", + "he_ascertainment_hospital", + "ihr_rel_iedr", + ], + )["ess_bulk"] + .astype(float) + .min() + ), + }, + ] +) +sampler_diagnostics +``` ```{python} -#| label: production-summary +#| label: linked-ratio-prior-posterior +#| fig-cap: Prior and posterior for the linked PyRenew IHR / IEDR multiplier. + +linked_ratio_post = linked_idata_trimmed.posterior["ihr_rel_iedr"].values.ravel() +linked_prior_ratio = np.random.default_rng(42).lognormal( + mean=0.0, + sigma=float(jnp.log(jnp.sqrt(2.0))), + size=4000, +) -with open(model_dir / "posterior_samples.pickle", "rb") as file: - production_mcmc = pickle.load(file) +linked_ratio_density_df = pd.concat( + [ + pd.DataFrame({"ratio": linked_prior_ratio, "source": "Prior"}), + pd.DataFrame({"ratio": linked_ratio_post, "source": "Posterior"}), + ], + ignore_index=True, +) -production_idata = az.from_dict( - { - "posterior": production_mcmc.get_samples(group_by_chain=True), - }, - sample_dims=["chain", "draw"], +( + p9.ggplot(linked_ratio_density_df, p9.aes(x="ratio", fill="source")) + + p9.geom_density(alpha=0.45) + + p9.geom_vline(xintercept=true_ihr / true_iedr, color="red", linetype="dashed") + + p9.scale_x_log10() + + p9.labs( + x="IHR / IEDR", + y="Density", + fill="", + title="Linked PyRenew Prior and Posterior Ratio", + ) + + theme_tutorial ) +``` +The three models infer similar ratio values, but they do not imply the same uncertainty in the absolute latent infection scale. +The linked parameterization improves sampler geometry for the ascertainment block in this fit, but its latent infection intervals are wider than the joint PyRenew intervals. +That is not a contradiction: R-hat and ESS describe how well the sampler explores the posterior, while interval width describes how much uncertainty the posterior itself contains. -def get_posterior_variable(posterior, candidates): - for name in candidates: - if name in posterior.data_vars: - return posterior[name] - raise KeyError(f"Could not find any of {candidates} in production posterior.") +The plots below compare posterior latent infections and the relative width of the 90% latent-infection interval. +Because these data are synthetic, the data-generating latent infection trajectory is known. +In the posterior infection plots, the dashed black line is that synthetic truth; it is not an observed data stream used to fit the models. +When the posterior infection trajectories sit above that dashed line, the most direct explanation is the same ascertainment-scale trade-off: fitted absolute IHR and IEDR values are below the synthetic data-generating values, so more infections are needed to produce the observed hospital and ED counts. +This is also why $\mathcal{R}(t)$ and latent infections answer different diagnostic questions. +Plotting $\mathcal{R}(t)$ is useful because it focuses on epidemic shape and growth or decline, which H+E data can often constrain better than the absolute infection level. +It should be shown alongside latent infections rather than instead of them: $\mathcal{R}(t)$ can look reasonable while the infection scale is still shifted by ascertainment assumptions. -production_posterior = production_idata.posterior -production_ihr = get_posterior_variable(production_posterior, ["IHR", "ihr"]) -production_iedr = get_posterior_variable(production_posterior, ["IEDR", "iedr"]) -try: - production_i0_values = get_posterior_variable( - production_posterior, - ["I0", "i0_first_obs_n_rv", "i0_first_obs_n"], - ).values -except KeyError: - production_priors = runpy.run_path(str(model_dir / "priors.py")) - production_i0_value = float(production_priors["i0_first_obs_n_rv"]()) - production_i0_values = np.full_like(production_ihr.values, production_i0_value) +```{python} +#| label: linked-latent-infection-data + +linked_latent_inf = linked_idata_trimmed.posterior["latent_infections"] +linked_inf_q05 = linked_latent_inf.quantile(0.05, dim=["chain", "draw"]).values +linked_inf_q50 = linked_latent_inf.quantile(0.50, dim=["chain", "draw"]).values +linked_inf_q95 = linked_latent_inf.quantile(0.95, dim=["chain", "draw"]).values +custom_latent_inf = custom_scalar_idata.posterior["latent_infections"] +custom_inf_q05 = custom_latent_inf.quantile(0.05, dim=["chain", "draw"]).values +custom_inf_q50 = custom_latent_inf.quantile(0.50, dim=["chain", "draw"]).values +custom_inf_q95 = custom_latent_inf.quantile(0.95, dim=["chain", "draw"]).values + +latent_comparison_df = pd.concat( + [ + pd.DataFrame( + { + "model": "pyrenew-H-E", + "day": np.arange(n_compare), + "median": inf_q50[:n_compare], + "q05": inf_q05[:n_compare], + "q95": inf_q95[:n_compare], + "truth": true_infections[:n_compare], + } + ), + pd.DataFrame( + { + "model": "linked-pyrenew-H-E", + "day": np.arange(n_compare), + "median": linked_inf_q50[:n_compare], + "q05": linked_inf_q05[:n_compare], + "q95": linked_inf_q95[:n_compare], + "truth": true_infections[:n_compare], + } + ), + pd.DataFrame( + { + "model": "custom-H-E", + "day": np.arange(n_compare), + "median": custom_inf_q50[:n_compare], + "q05": custom_inf_q05[:n_compare], + "q95": custom_inf_q95[:n_compare], + "truth": true_infections[:n_compare], + } + ), + ], + ignore_index=True, +) -iedr_non_sample_dims = [ - dim for dim in production_iedr.dims if dim not in ("chain", "draw") -] -if iedr_non_sample_dims: - production_iedr_first_day = production_iedr.isel( - {dim: 0 for dim in iedr_non_sample_dims} +latent_width_df = pd.concat( + [ + pd.DataFrame( + { + "model": "pyrenew-H-E", + "day": np.arange(n_compare), + "relative_width": inf_relative_width[:n_compare], + } + ), + pd.DataFrame( + { + "model": "linked-pyrenew-H-E", + "day": np.arange(n_compare), + "relative_width": ( + linked_inf_q95[:n_compare] - linked_inf_q05[:n_compare] + ) + / np.maximum(linked_inf_q50[:n_compare], 1.0), + } + ), + pd.DataFrame( + { + "model": "custom-H-E", + "day": np.arange(n_compare), + "relative_width": ( + custom_inf_q95[:n_compare] - custom_inf_q05[:n_compare] + ) + / np.maximum(custom_inf_q50[:n_compare], 1.0), + } + ), + ], + ignore_index=True, +) + +latent_width_summary = ( + latent_width_df.groupby("model", observed=True) + .agg( + mean_relative_width=("relative_width", "mean"), + median_relative_width=("relative_width", "median"), ) - production_iedr_mean = production_iedr.mean(dim=iedr_non_sample_dims) -else: - production_iedr_first_day = production_iedr - production_iedr_mean = production_iedr + .reset_index() +) +latent_width_summary +``` -production_scalar_idata = az.from_dict( - { - "posterior": { - "I0": production_i0_values, - "IHR": production_ihr.values, - "IEDR_first_day": production_iedr_first_day.values, - "IEDR_mean": production_iedr_mean.values, - } - }, - sample_dims=["chain", "draw"], +```{python} +#| label: linked-latent-infections +#| fig-cap: Posterior latent infections under the two PyRenew parameterizations +#| and custom-H-E. The dashed black line is the synthetic data-generating +#| latent infection trajectory, not an observed signal used for fitting. + +( + p9.ggplot(latent_comparison_df, p9.aes(x="day")) + + p9.geom_ribbon( + p9.aes(ymin="q05", ymax="q95"), + fill="steelblue", + alpha=0.25, + ) + + p9.geom_line(p9.aes(y="median"), color="darkblue", size=1) + + p9.geom_line(p9.aes(y="truth"), color="black", linetype="dashed", size=0.7) + + p9.facet_wrap("~model", ncol=1) + + p9.scale_y_log10() + + p9.labs( + x="Day", + y="Latent infections", + title="Posterior Latent Infections vs Synthetic Truth", + ) + + theme_tutorial ) +``` + +```{python} +#| label: linked-latent-infection-uncertainty +#| fig-cap: Relative posterior interval width for latent infections under the +#| two PyRenew parameterizations and custom-H-E. -production_parameter_summary = az.summary(production_scalar_idata) -production_parameter_summary +( + p9.ggplot( + latent_width_df, + p9.aes(x="day", y="relative_width", color="model"), + ) + + p9.geom_line(size=0.9, alpha=0.85) + + p9.labs( + x="Day", + y="Relative 90% interval width", + color="Model", + title="Posterior Uncertainty in Latent Infections", + ) + + theme_tutorial +) +``` + +The linked parameterization is a useful sensitivity analysis because it asks whether the model can learn the relative hospital-to-ED scale directly. +It should not be interpreted as an absolute-scale fix. +The posterior can still move along the weakly identified direction where lower ascertainment rates imply higher latent infections, and the prior still determines where the fit sits along that direction. + +### Summarize custom-H-E + +The custom H+E fit is represented here by reduced scalar posterior draws. +Because its ED ascertainment is time-varying, we summarize both the first-day IEDR and the posterior mean over the time-varying IEDR trajectory. + +```{python} +#| label: custom-summary + +custom_parameter_summary = az.summary(custom_scalar_idata) +custom_parameter_summary ``` -The two models parameterize some quantities differently, so this table compares only the closest scalar summaries. -For prod-H-E, ED ascertainment is time-varying; `IEDR_mean` is the posterior mean across that time-varying trajectory for each posterior draw. +The three models parameterize some quantities differently, so this table compares only the closest scalar summaries. +For custom-H-E, ED ascertainment is time-varying; `IEDR_mean` is the posterior mean across that time-varying trajectory for each posterior draw. Differences from the data-generating values should not be read as a win/loss ranking. -The PyRenew model and prod-H-E use different ascertainment structures, so this table is a compact way to compare their implied absolute scales rather than a direct test of which implementation is correct. +The PyRenew models and custom-H-E use different ascertainment structures, so this table is a compact way to compare their implied absolute scales and relative hospital-to-ED scale rather than a direct test of which implementation is correct. ```{python} #| label: inference-comparison @@ -1236,8 +1709,11 @@ inference_comparison = pd.DataFrame( "pyrenew-H-E median": float( idata_trimmed.posterior["I0"].median(dim=["chain", "draw"]) ), - "prod-H-E median": float( - production_scalar_idata.posterior["I0"].median(dim=["chain", "draw"]) + "linked-pyrenew-H-E median": float( + linked_idata_trimmed.posterior["I0"].median(dim=["chain", "draw"]) + ), + "custom-H-E median": float( + custom_scalar_idata.posterior["I0"].median(dim=["chain", "draw"]) ), }, { @@ -1248,8 +1724,13 @@ inference_comparison = pd.DataFrame( dim=["chain", "draw"] ) ), - "prod-H-E median": float( - production_scalar_idata.posterior["IHR"].median(dim=["chain", "draw"]) + "linked-pyrenew-H-E median": float( + linked_idata_trimmed.posterior["he_ascertainment_hospital"].median( + dim=["chain", "draw"] + ) + ), + "custom-H-E median": float( + custom_scalar_idata.posterior["IHR"].median(dim=["chain", "draw"]) ), }, { @@ -1260,11 +1741,35 @@ inference_comparison = pd.DataFrame( dim=["chain", "draw"] ) ), - "prod-H-E median": float( - production_scalar_idata.posterior["IEDR_mean"].median( + "linked-pyrenew-H-E median": float( + linked_idata_trimmed.posterior["he_ascertainment_ed_visits"].median( dim=["chain", "draw"] ) ), + "custom-H-E median": float( + custom_scalar_idata.posterior["IEDR_mean"].median(dim=["chain", "draw"]) + ), + }, + { + "quantity": "IHR / IEDR", + "truth": true_ihr / true_iedr, + "pyrenew-H-E median": float( + ( + idata_trimmed.posterior["he_ascertainment_hospital"] + / idata_trimmed.posterior["he_ascertainment_ed_visits"] + ).median(dim=["chain", "draw"]) + ), + "linked-pyrenew-H-E median": float( + linked_idata_trimmed.posterior["ihr_rel_iedr"].median( + dim=["chain", "draw"] + ) + ), + "custom-H-E median": float( + ( + custom_scalar_idata.posterior["IHR"] + / custom_scalar_idata.posterior["IEDR_mean"] + ).median(dim=["chain", "draw"]) + ), }, ] ) @@ -1275,7 +1780,7 @@ inference_comparison ### Runtime Comparison The two runtimes are comparable in this synthetic example. -They should not be interpreted as a formal benchmark because pyrenew-H-E and prod-H-E use different implementations, priors, time aggregation choices, and production-oriented components. +They should not be interpreted as a formal benchmark because pyrenew-H-E and custom-H-E use different implementations, priors, time aggregation choices, and model-specific components. ```{python} #| label: runtime-comparison @@ -1283,7 +1788,11 @@ They should not be interpreted as a formal benchmark because pyrenew-H-E and pro pd.DataFrame( [ {"model": "pyrenew-H-E", "elapsed_seconds": pyrenew_elapsed}, - {"model": "prod-H-E", "elapsed_seconds": production_elapsed}, + { + "model": "linked-pyrenew-H-E", + "elapsed_seconds": linked_pyrenew_elapsed, + }, + {"model": "custom-H-E", "elapsed_seconds": custom_elapsed}, ] ) ``` @@ -1291,11 +1800,12 @@ pd.DataFrame( ### Identifiability Check The comparison above points back to the main identifiability issue in H+E-only models. -Both fits are useful diagnostics for scale and structure, not a contest between implementations. +All three fits are useful diagnostics for scale and structure, not a contest between implementations. H+E observations identify the epidemic shape and the relative magnitude of the two clinical signals better than they identify the absolute infection scale. Here we compare the posterior distributions of the three absolute-scale quantities that matter most for H+E alone: $I_0$, IHR, and IEDR. -For prod-H-E, IEDR is time-varying, so we use `IEDR_mean` as a scalar summary for each posterior draw. +For linked-pyrenew-H-E, IHR is the sampled IEDR base rate times the sampled ratio. +For custom-H-E, IEDR is time-varying, so we use `IEDR_mean` as a scalar summary for each posterior draw. ```{python} #| label: identifiability-scale-data @@ -1304,9 +1814,16 @@ pyrenew_i0 = idata_trimmed.posterior["I0"].values.ravel() pyrenew_ihr = idata_trimmed.posterior["he_ascertainment_hospital"].values.ravel() pyrenew_iedr = idata_trimmed.posterior["he_ascertainment_ed_visits"].values.ravel() -prod_i0 = production_scalar_idata.posterior["I0"].values.ravel() -prod_ihr = production_scalar_idata.posterior["IHR"].values.ravel() -prod_iedr = production_scalar_idata.posterior["IEDR_mean"].values.ravel() +linked_i0 = linked_idata_trimmed.posterior["I0"].values.ravel() +linked_ihr = linked_idata_trimmed.posterior["he_ascertainment_hospital"].values.ravel() +linked_iedr = linked_idata_trimmed.posterior[ + "he_ascertainment_ed_visits" +].values.ravel() +linked_ratio = linked_idata_trimmed.posterior["ihr_rel_iedr"].values.ravel() + +custom_i0 = custom_scalar_idata.posterior["I0"].values.ravel() +custom_ihr = custom_scalar_idata.posterior["IHR"].values.ravel() +custom_iedr = custom_scalar_idata.posterior["IEDR_mean"].values.ravel() scale_draws_df = pd.concat( [ @@ -1321,11 +1838,20 @@ scale_draws_df = pd.concat( ), pd.DataFrame( { - "model": "prod-H-E", - "I0": prod_i0, - "IHR": prod_ihr, - "IEDR": prod_iedr, - "ratio": prod_ihr / prod_iedr, + "model": "linked-pyrenew-H-E", + "I0": linked_i0, + "IHR": linked_ihr, + "IEDR": linked_iedr, + "ratio": linked_ratio, + } + ), + pd.DataFrame( + { + "model": "custom-H-E", + "I0": custom_i0, + "IHR": custom_ihr, + "IEDR": custom_iedr, + "ratio": custom_ihr / custom_iedr, } ), ], @@ -1352,8 +1878,8 @@ The marginal densities show how each model places posterior mass for the absolut ```{python} #| label: identifiability-scale-densities #| fig-cap: |- -#| Posterior densities for $I_0$, IHR, and IEDR under pyrenew-H-E and -#| prod-H-E. Red dashed lines mark data-generating values. +#| Posterior densities for $I_0$, IHR, and IEDR under all three models. +#| Red dashed lines mark data-generating values. ( p9.ggplot(scale_density_df, p9.aes(x="value", fill="model", color="model")) @@ -1384,7 +1910,7 @@ The red point marks the data-generating values. #| label: identifiability-ihr-iedr #| fig-cap: |- #| Joint posterior of hospital and ED ascertainment rates under both -#| models. +#| PyRenew parameterizations and custom-H-E. truth_asc_df = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) @@ -1406,10 +1932,12 @@ truth_asc_df = pd.DataFrame({"IHR": [true_ihr], "IEDR": [true_iedr]}) ``` The ratio is the most directly interpretable relative-scale quantity for the two clinical signals. +This plot checks whether each model captures the data-generating IHR / IEDR relationship, even when the absolute IHR and IEDR scales are weakly identified. ```{python} #| label: identifiability-ratio -#| fig-cap: Posterior distribution of the IHR / IEDR ratio under both models. +#| fig-cap: Posterior distribution of the IHR / IEDR ratio under all three +#| models. ( p9.ggplot(scale_draws_df, p9.aes(x="ratio", fill="model", color="model")) @@ -1427,10 +1955,18 @@ The ratio is the most directly interpretable relative-scale quantity for the two ) ``` +All three models put the hospital-to-ED ascertainment ratio in roughly the same part of parameter space. +That is the main quantity the H+E data can learn directly. +The linked PyRenew model is still useful because it samples that ratio directly, which can improve R-hat and effective sample size for the ascertainment block even when the posterior ratio is similar to the other fits. +In this example, however, the linked prior and parameterization place more posterior uncertainty on the common absolute ascertainment scale, so the latent infection interval is wider than under `JointAscertainment`. + These plots are diagnostic rather than corrective. They show why external information matters: H+E data alone generally need either informative priors or another signal, such as wastewater or prevalence data, to anchor the absolute infection scale. - -If the PyRenew fit lies closer to the synthetic truth for some quantities, that should be interpreted in light of the data-generating process. -The synthetic data were generated with scalar hospital and ED ascertainment rates, which is closer to the `JointAscertainment` model used here than to the production H+E model. -The production model allows ED ascertainment to vary over time and defines hospital ascertainment through a multiplier on the first ED ascertainment value. -Those features are useful for production forecasting, but they are additional structure relative to this simplified synthetic generator. +The ratio plot and the infection plot should therefore be read together. +The models can agree on the relative hospital-to-ED ascertainment ratio while all choosing an absolute ascertainment level that is too low, which pushes latent infections upward. + +If the original PyRenew fit lies closer to the synthetic truth for some quantities, that should be interpreted in light of the data-generating process. +The synthetic data were generated with scalar hospital and ED ascertainment rates, which is closer to the `JointAscertainment` model used here than to the custom H+E model. +The linked PyRenew model and custom model define hospital ascertainment through a multiplier on ED ascertainment, which makes the relative scale explicit but does not anchor the absolute scale. +The custom model also allows ED ascertainment to vary over time. +Those features can be useful in applied forecasting, but they are additional structure relative to this simplified synthetic generator. diff --git a/docs_scripts/generate_multisignal_he_artifacts.py b/docs_scripts/generate_multisignal_he_artifacts.py new file mode 100644 index 00000000..f76aa0a4 --- /dev/null +++ b/docs_scripts/generate_multisignal_he_artifacts.py @@ -0,0 +1,585 @@ +# numpydoc ignore=GL08 + +"""Generate precomputed artifacts for the multisignal H+E tutorial. + +Run this script from the repository root on a machine that can run both the +PyRenew tutorial model and the custom NumPyro H+E model. +""" + +from __future__ import annotations + +import argparse +import contextlib +import io +import json +import pickle +import runpy +import subprocess +import sys +import time +from collections.abc import Mapping +from datetime import UTC, date, datetime +from pathlib import Path + +import arviz as az +import jax +import jax.numpy as jnp +import jax.random as random +import numpy as np +import numpyro +import numpyro.distributions as dist +import pandas as pd +import xarray as xr + +import pyrenew.transformation as transformation +from pyrenew.ascertainment import AscertainmentModel, JointAscertainment +from pyrenew.datasets import ( + load_example_infection_admission_interval, + load_synthetic_daily_ed_visits, + load_synthetic_true_parameters, + load_synthetic_weekly_hospital_admissions, + write_synthetic_hew_model_dir, +) +from pyrenew.deterministic import DeterministicPMF, DeterministicVariable +from pyrenew.latent import DifferencedAR1, PopulationInfections, WeeklyTemporalProcess +from pyrenew.metaclass import RandomVariable +from pyrenew.model import PyrenewBuilder +from pyrenew.observation import NegativeBinomialNoise, PopulationCounts +from pyrenew.randomvariable import DistributionalVariable, TransformedVariable +from pyrenew.time import MMWR_WEEK + +N_DAYS_FIT = 126 +OBS_START_DATE = date(2023, 11, 5) + + +class RatioLinkedAscertainment(AscertainmentModel): + """Two ascertainment rates expressed as a base rate and a ratio.""" + + def __init__( + self, + name: str, + base_signal: str, + linked_signal: str, + base_rate_rv: RandomVariable, + ratio_rv: RandomVariable, + ) -> None: # numpydoc ignore=GL08 + super().__init__(name=name, signals=(base_signal, linked_signal)) + self.base_signal = base_signal + self.linked_signal = linked_signal + self.base_rate_rv = base_rate_rv + self.ratio_rv = ratio_rv + + def sample( + self, **kwargs: object + ) -> Mapping[str, jax.Array]: # numpydoc ignore=RT01 + """Sample the base rate and ratio, then compute the linked rate.""" + base_rate = self.base_rate_rv() + ratio = self.ratio_rv() + linked_rate = base_rate * ratio + numpyro.deterministic(f"{self.name}_{self.base_signal}", base_rate) + numpyro.deterministic(f"{self.name}_{self.linked_signal}", linked_rate) + return {self.base_signal: base_rate, self.linked_signal: linked_rate} + + +def git_sha(path: Path) -> str | None: # numpydoc ignore=RT01 + """Return the git SHA for a repo path, or None if unavailable.""" + try: + result = subprocess.run( + ["git", "-C", str(path), "rev-parse", "HEAD"], + check=True, + capture_output=True, + text=True, + ) + except Exception: + return None + return result.stdout.strip() + + +def build_pyrenew_model( + ascertainment_parameterization: str = "joint", +) -> tuple[object, float, jax.Array, jax.Array]: # numpydoc ignore=RT01 + """Build the PyRenew H+E tutorial model and aligned observations.""" + true_params = load_synthetic_true_parameters() + weekly_hosp = load_synthetic_weekly_hospital_admissions() + daily_ed = load_synthetic_daily_ed_visits() + + hosp_delay_pmf = jnp.array( + load_example_infection_admission_interval()["probability_mass"].to_numpy() + ) + ed_delay_pmf = jnp.array(true_params["ed_visits"]["delay_pmf"]) + population_size = float(weekly_hosp["pop"][0]) + + gen_int_pmf = jnp.array( + [ + 0.6326975, + 0.2327564, + 0.0856263, + 0.03150015, + 0.01158826, + 0.00426308, + 0.0015683, + ] + ) + gen_int_rv = DeterministicPMF("gen_int", gen_int_pmf) + i0_rv = TransformedVariable( + name="I0", + base_rv=DistributionalVariable( + name="logit_I0", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(true_params["i0_per_capita"]), + 0.25, + ), + ), + transforms=transformation.SigmoidTransform(), + ) + log_rt_time_0_rv = DistributionalVariable("log_rt_time_0", dist.Normal(0.0, 0.5)) + + weekly_rt_process = WeeklyTemporalProcess( + DifferencedAR1( + autoreg_rv=DeterministicVariable("rt_diff_autoreg", 0.5), + innovation_sd_rv=DeterministicVariable("rt_diff_innovation_sd", 0.03), + ), + start_dow=MMWR_WEEK, + ) + + if ascertainment_parameterization == "joint": + ascertainment_center = 0.004 + ascertainment_sd = 0.3 + ascertainment_corr = 0.5 + ascertainment_cov = jnp.array( + [ + [ascertainment_sd**2, ascertainment_corr * ascertainment_sd**2], + [ascertainment_corr * ascertainment_sd**2, ascertainment_sd**2], + ] + ) + ascertainment = JointAscertainment( + name="he_ascertainment", + signals=("hospital", "ed_visits"), + baseline_rates=jnp.array([ascertainment_center, ascertainment_center]), + covariance_matrix=ascertainment_cov, + ) + elif ascertainment_parameterization == "linked": + iedr_rv = TransformedVariable( + name="iedr", + base_rv=DistributionalVariable( + name="logit_iedr", + distribution=dist.Normal( + transformation.SigmoidTransform().inv(0.004), + 0.3, + ), + ), + transforms=transformation.SigmoidTransform(), + ) + ratio_rv = DistributionalVariable( + "ihr_rel_iedr", + dist.LogNormal(0.0, jnp.log(jnp.sqrt(2.0))), + ) + ascertainment = RatioLinkedAscertainment( + name="he_ascertainment", + base_signal="ed_visits", + linked_signal="hospital", + base_rate_rv=iedr_rv, + ratio_rv=ratio_rv, + ) + else: + raise ValueError( + "ascertainment_parameterization must be either 'joint' or 'linked'." + ) + + hospital_obs = PopulationCounts( + name="hospital", + ascertainment_rate_rv=ascertainment.for_signal("hospital"), + delay_distribution_rv=DeterministicPMF("hosp_delay", hosp_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("hosp_conc", dist.LogNormal(5.0, 1.0)) + ), + aggregation="weekly", + reporting_schedule="regular", + start_dow=MMWR_WEEK, + ) + ed_day_of_week_rv = DeterministicVariable( + "ed_day_of_week_effect", + jnp.array(true_params["ed_visits"]["day_of_week_effects"]), + ) + ed_obs = PopulationCounts( + name="ed_visits", + ascertainment_rate_rv=ascertainment.for_signal("ed_visits"), + delay_distribution_rv=DeterministicPMF("ed_delay", ed_delay_pmf), + noise=NegativeBinomialNoise( + DistributionalVariable("ed_conc", dist.LogNormal(4.0, 1.0)) + ), + day_of_week_rv=ed_day_of_week_rv, + ) + + builder = PyrenewBuilder() + builder.configure_latent( + PopulationInfections, + gen_int_rv=gen_int_rv, + I0_rv=i0_rv, + log_rt_time_0_rv=log_rt_time_0_rv, + single_rt_process=weekly_rt_process, + ) + builder.add_ascertainment(ascertainment) + builder.add_observation(hospital_obs) + builder.add_observation(ed_obs) + model = builder.build() + + ed_observed = model.pad_observations( + jnp.array(daily_ed["ed_visits"].to_numpy(), dtype=jnp.float32) + ) + hospital_observed = model.pad_aggregated_observations( + jnp.array(weekly_hosp["weekly_hosp_admits"].to_numpy(), dtype=jnp.float32), + observation_name="hospital", + n_days_post_init=N_DAYS_FIT, + obs_start_date=OBS_START_DATE, + ) + return model, population_size, hospital_observed, ed_observed + + +def trim_time(ds: xr.Dataset, n_init: int) -> xr.Dataset: # numpydoc ignore=RT01 + """Trim initialization points from an ArviZ dataset.""" + if "time" in ds.dims: + ds = ds.isel(time=slice(n_init, None)) + ds = ds.assign_coords(time=range(ds.sizes["time"])) + return ds + + +def run_pyrenew_fit(output_dir: Path) -> float: # numpydoc ignore=RT01 + """Fit pyrenew-H-E and write posterior artifacts.""" + model, population_size, hospital_observed, ed_observed = build_pyrenew_model() + + jax.clear_caches() + start_time = time.time() + model.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": True}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, + ) + samples = model.mcmc.get_samples() + jax.block_until_ready(samples) + elapsed = time.time() - start_time + + n_init = model.latent.n_initialization_points + idata = az.from_numpyro( + model.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, + ) + idata_trimmed = idata.map_over_datasets(lambda ds: trim_time(ds, n_init)) + idata_trimmed.posterior["I0"] = 1 / ( + 1 + np.exp(-idata_trimmed.posterior["logit_I0"]) + ) + + posterior = idata_trimmed.posterior + output_dir.mkdir(parents=True, exist_ok=True) + np.savez_compressed( + output_dir / "pyrenew_fit_artifacts.npz", + n_init=np.array(n_init, dtype=np.int64), + I0=posterior["I0"].values, + log_rt_time_0=posterior["log_rt_time_0"].values, + he_ascertainment_hospital=posterior["he_ascertainment_hospital"].values, + he_ascertainment_ed_visits=posterior["he_ascertainment_ed_visits"].values, + rt_single_full=idata.posterior["PopulationInfections::rt_single"].values, + rt_single_trimmed=posterior["PopulationInfections::rt_single"].values, + latent_infections_trimmed=posterior["latent_infections"].values, + ) + return elapsed + + +def run_linked_pyrenew_fit(output_dir: Path) -> float: # numpydoc ignore=RT01 + """Fit linked-pyrenew-H-E and write posterior artifacts.""" + model, population_size, hospital_observed, ed_observed = build_pyrenew_model( + ascertainment_parameterization="linked" + ) + + jax.clear_caches() + start_time = time.time() + model.run( + num_warmup=500, + num_samples=500, + rng_key=random.PRNGKey(42), + mcmc_args={"num_chains": 4, "progress_bar": True}, + n_days_post_init=N_DAYS_FIT, + population_size=population_size, + obs_start_date=OBS_START_DATE, + hospital={"obs": hospital_observed}, + ed_visits={"obs": ed_observed}, + ) + samples = model.mcmc.get_samples() + jax.block_until_ready(samples) + elapsed = time.time() - start_time + + n_init = model.latent.n_initialization_points + idata = az.from_numpyro( + model.mcmc, + dims={ + "latent_infections": ["time"], + "PopulationInfections::infections_aggregate": ["time"], + "PopulationInfections::log_rt_single": ["time", "dummy"], + "PopulationInfections::rt_single": ["time", "dummy"], + "log_rt_single_weekly": ["rt_week", "dummy"], + "hospital_predicted_daily": ["time"], + "hospital_predicted": ["week"], + "ed_visits_predicted": ["time"], + }, + ) + idata_trimmed = idata.map_over_datasets(lambda ds: trim_time(ds, n_init)) + idata_trimmed.posterior["I0"] = 1 / ( + 1 + np.exp(-idata_trimmed.posterior["logit_I0"]) + ) + + posterior = idata_trimmed.posterior + output_dir.mkdir(parents=True, exist_ok=True) + np.savez_compressed( + output_dir / "linked_pyrenew_fit_artifacts.npz", + n_init=np.array(n_init, dtype=np.int64), + I0=posterior["I0"].values, + log_rt_time_0=posterior["log_rt_time_0"].values, + he_ascertainment_hospital=posterior["he_ascertainment_hospital"].values, + he_ascertainment_ed_visits=posterior["he_ascertainment_ed_visits"].values, + ihr_rel_iedr=posterior["ihr_rel_iedr"].values, + rt_single_full=idata.posterior["PopulationInfections::rt_single"].values, + rt_single_trimmed=posterior["PopulationInfections::rt_single"].values, + latent_infections_trimmed=posterior["latent_infections"].values, + ) + return elapsed + + +def find_sample( # numpydoc ignore=RT01 + samples: dict[str, np.ndarray], candidates: list[str] +) -> np.ndarray: + """Get a posterior sample array from candidate variable names.""" + for name in candidates: + if name in samples: + return np.asarray(samples[name]) + raise KeyError(f"Could not find any of {candidates} in custom posterior samples.") + + +def reduce_to_chain_draw( # numpydoc ignore=RT01 + values: np.ndarray, reducer: str = "mean" +) -> np.ndarray: + """Reduce non-sample dimensions in a chain/draw posterior array.""" + values = np.asarray(values, dtype=float) + if values.ndim <= 2: + return values + axes = tuple(range(2, values.ndim)) + if reducer == "first": + index = (slice(None), slice(None), *([0] * (values.ndim - 2))) + return values[index] + if reducer == "mean": + return values.mean(axis=axes) + raise ValueError(f"Unknown reducer: {reducer}") + + +def reduce_to_chain_draw_time(values: np.ndarray) -> np.ndarray: # numpydoc ignore=RT01 + """Normalize a posterior trajectory array to chain/draw/time shape.""" + values = np.asarray(values, dtype=float) + values = np.squeeze(values) + if values.ndim == 2: + values = values[None, :, :] + if values.ndim != 3: + raise ValueError( + "Expected custom latent infections to have chain/draw/time shape " + f"after squeezing; got shape {values.shape}." + ) + if values.shape[-1] < N_DAYS_FIT: + raise ValueError( + "Custom latent infections are shorter than the fit period: " + f"{values.shape[-1]} < {N_DAYS_FIT}." + ) + return values[..., -N_DAYS_FIT:] + + +def run_custom_fit( + output_dir: Path, + pyrenew_multisignal_dir: Path, + cfa_stf_dir: Path, + model_dir: Path, +) -> float: # numpydoc ignore=RT01 + """Fit custom-H-E and write scalar posterior artifacts.""" + sys.path.insert(0, str(pyrenew_multisignal_dir / "src")) + sys.path.insert(0, str(cfa_stf_dir)) + + from pipelines.pyrenew_hew.fit_pyrenew_model import fit_and_save_model + + write_synthetic_hew_model_dir(model_dir, overwrite=True) + with open(model_dir / "data" / "model_params.json") as file: + model_params = json.load(file) + population_size = float(model_params["population_size"]) + + jax.clear_caches() + stdout = io.StringIO() + stderr = io.StringIO() + start_time = time.time() + try: + with contextlib.redirect_stdout(stdout), contextlib.redirect_stderr(stderr): + fit_and_save_model( + model_dir=model_dir, + fit_ed_visits=True, + fit_hospital_admissions=True, + fit_wastewater=False, + n_warmup=500, + n_samples=500, + n_chains=4, + rng_key=42, + ) + if hasattr(jax, "effects_barrier"): + jax.effects_barrier() + except Exception: + print("fit_and_save_model failed. Last captured stdout:") + print(stdout.getvalue()[-4000:]) + print("Last captured stderr:") + print(stderr.getvalue()[-4000:]) + raise + elapsed = time.time() - start_time + + with open(model_dir / "posterior_samples.pickle", "rb") as file: + custom_mcmc = pickle.load(file) + + samples = custom_mcmc.get_samples(group_by_chain=True) + ihr = reduce_to_chain_draw(find_sample(samples, ["IHR", "ihr"])) + iedr = find_sample(samples, ["IEDR", "iedr"]) + latent_infections = population_size * reduce_to_chain_draw_time( + find_sample( + samples, + [ + "latent_infections", + "infections", + "infections_aggregate", + "PopulationInfections::infections_aggregate", + "i_t", + "I_t", + ], + ) + ) + rt = reduce_to_chain_draw_time( + find_sample(samples, ["rt", "rtu_subpop", "Rt", "R_t"]) + ) + iedr_first_day = reduce_to_chain_draw(iedr, reducer="first") + iedr_mean = reduce_to_chain_draw(iedr, reducer="mean") + + try: + i0 = reduce_to_chain_draw( + find_sample(samples, ["I0", "i0_first_obs_n_rv", "i0_first_obs_n"]) + ) + except KeyError: + custom_priors = runpy.run_path(str(model_dir / "priors.py")) + i0_value = float(custom_priors["i0_first_obs_n_rv"]()) + i0 = np.full_like(ihr, i0_value, dtype=float) + + scalar_draws = pd.DataFrame( + { + "chain": np.repeat(np.arange(ihr.shape[0]), ihr.shape[1]), + "draw": np.tile(np.arange(ihr.shape[1]), ihr.shape[0]), + "I0": i0.ravel(), + "IHR": ihr.ravel(), + "IEDR_first_day": iedr_first_day.ravel(), + "IEDR_mean": iedr_mean.ravel(), + } + ) + scalar_draws["ratio"] = scalar_draws["IHR"] / scalar_draws["IEDR_mean"] + output_dir.mkdir(parents=True, exist_ok=True) + scalar_draws.to_csv(output_dir / "custom_he_scalar_draws.csv", index=False) + np.savez_compressed( + output_dir / "custom_he_fit_artifacts.npz", + latent_infections_trimmed=latent_infections, + rt_trimmed=rt, + ) + return elapsed + + +def parse_args() -> argparse.Namespace: # numpydoc ignore=GL08 + parser = argparse.ArgumentParser() + parser.add_argument( + "--output-dir", + type=Path, + default=Path("docs/tutorials/data/multisignal_he"), + ) + parser.add_argument( + "--pyrenew-multisignal-dir", + type=Path, + default=Path("~/github/CDC/pyrenew-multisignal").expanduser(), + ) + parser.add_argument( + "--cfa-stf-dir", + type=Path, + default=Path("~/github/CDC/cfa-stf-routine-forecasting").expanduser(), + ) + parser.add_argument( + "--model-dir", + type=Path, + default=Path("docs/tutorials/scratch/synthetic_pyrenew_hew_model"), + ) + return parser.parse_args() + + +def main() -> None: # numpydoc ignore=GL08 + args = parse_args() + numpyro.set_host_device_count(4) + numpyro.enable_x64() + + pyrenew_elapsed = run_pyrenew_fit(args.output_dir) + linked_pyrenew_elapsed = run_linked_pyrenew_fit(args.output_dir) + custom_elapsed = run_custom_fit( + output_dir=args.output_dir, + pyrenew_multisignal_dir=args.pyrenew_multisignal_dir, + cfa_stf_dir=args.cfa_stf_dir, + model_dir=args.model_dir, + ) + + timings = { + "pyrenew-H-E": { + "elapsed_seconds": pyrenew_elapsed, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42, + }, + "custom-H-E": { + "elapsed_seconds": custom_elapsed, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42, + }, + "linked-pyrenew-H-E": { + "elapsed_seconds": linked_pyrenew_elapsed, + "num_warmup": 500, + "num_samples": 500, + "num_chains": 4, + "rng_key": 42, + }, + } + with open(args.output_dir / "timings.json", "w") as file: + json.dump(timings, file, indent=2) + file.write("\n") + + metadata = { + "generated_at": datetime.now(UTC).isoformat(), + "pyrenew_sha": git_sha(Path.cwd()), + "pyrenew_multisignal_sha": git_sha(args.pyrenew_multisignal_dir), + "cfa_stf_sha": git_sha(args.cfa_stf_dir), + } + with open(args.output_dir / "metadata.json", "w") as file: + json.dump(metadata, file, indent=2) + file.write("\n") + + print(f"Wrote multisignal H+E artifacts to {args.output_dir}") + + +if __name__ == "__main__": + main() From c7d42507c17651d2b66a55cf82c0a07af22c23c1 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Fri, 15 May 2026 18:02:37 +0000 Subject: [PATCH 18/20] [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci --- docs/tutorials/data/multisignal_he/README.md | 12 ++++-------- 1 file changed, 4 insertions(+), 8 deletions(-) diff --git a/docs/tutorials/data/multisignal_he/README.md b/docs/tutorials/data/multisignal_he/README.md index dc738e28..ad03da06 100644 --- a/docs/tutorials/data/multisignal_he/README.md +++ b/docs/tutorials/data/multisignal_he/README.md @@ -1,7 +1,6 @@ # Multisignal H+E tutorial artifacts -This directory stores precomputed fit artifacts for -`docs/tutorials/multisignal_H_E_model.qmd`. +This directory stores precomputed fit artifacts for `docs/tutorials/multisignal_H_E_model.qmd`. Regenerate the artifacts from the repository root with: @@ -9,9 +8,6 @@ Regenerate the artifacts from the repository root with: uv run python docs_scripts/generate_multisignal_he_artifacts.py ``` -The generator must be run on a machine that can fit the PyRenew tutorial -models, including the linked-ascertainment variant, and the custom NumPyro H+E -model. The documentation build reads the generated `npz`, `csv`, and `json` -files from this directory instead of running the fits during Quarto rendering. -The custom-H-E artifacts include reduced scalar draws and latent infection -draws for plotting posterior infection uncertainty. +The generator must be run on a machine that can fit the PyRenew tutorial models, including the linked-ascertainment variant, and the custom NumPyro H+E model. +The documentation build reads the generated `npz`, `csv`, and `json` files from this directory instead of running the fits during Quarto rendering. +The custom-H-E artifacts include reduced scalar draws and latent infection draws for plotting posterior infection uncertainty. From c771f8adb82d46e79a3691776a93b2ce7f2cc2a8 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Fri, 15 May 2026 14:08:30 -0400 Subject: [PATCH 19/20] allow tutorials/data/multisignal_he --- .pre-commit-config.yaml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 79d87125..f91f9fb6 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -38,7 +38,7 @@ repos: hooks: - id: detect-secrets args: [ "--baseline", ".secrets.baseline" ] - exclude: package.lock.json + exclude: ^(package\.lock\.json|docs/tutorials/data/multisignal_he/) #### # Typos - repo: https://github.com/crate-ci/typos From 3213d3ec5c37b214333311238ad7720c0a1912c4 Mon Sep 17 00:00:00 2001 From: Mitzi Morris Date: Fri, 15 May 2026 14:12:36 -0400 Subject: [PATCH 20/20] update dependencies for docs scripts --- pyproject.toml | 6 ++++-- uv.lock | 2 ++ 2 files changed, 6 insertions(+), 2 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index afdb841b..6214fb53 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -33,6 +33,7 @@ dev = [ "pytest-cov>=6.3.0", "ruff>=0.15.0", "scipy>=1.16.1", + "xarray>=2026.4.0", ] [build-system] @@ -71,10 +72,11 @@ exclude = [ # don't report on objects that match any of these regex [tool.deptry] -known_first_party = ["pyrenew", "test"] +known_first_party = ["pyrenew", "test", "_tutorial_theme"] [tool.deptry.per_rule_ignores] -DEP004 = ["arviz", "pytest", "scipy", "bs4"] +DEP001 = ["pipelines"] +DEP004 = ["arviz", "pytest", "scipy", "bs4", "pandas", "plotnine", "xarray"] [tool.pytest.ini_options] markers = [ diff --git a/uv.lock b/uv.lock index d455ebaf..bd9ae7a0 100644 --- a/uv.lock +++ b/uv.lock @@ -1756,6 +1756,7 @@ dev = [ { name = "pytest-cov" }, { name = "ruff" }, { name = "scipy" }, + { name = "xarray" }, ] [package.metadata] @@ -1786,6 +1787,7 @@ dev = [ { name = "pytest-cov", specifier = ">=6.3.0" }, { name = "ruff", specifier = ">=0.15.0" }, { name = "scipy", specifier = ">=1.16.1" }, + { name = "xarray", specifier = ">=2026.4.0" }, ] [[package]]

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