Add LERM transition detection

[niatimary]

Summary

• Add LERM transition detection
• Enhance DeterministicTransitions plotting

Changed files

• core/rqa_res.py
• core/transitions.py
• utils/lerm_transitions.py
• utils/init.py

[CommonClimate]

Thanks @niatimary! Can you share a few results (a figure would suffice) or even better a notebook in TyppingPoints, to show how this works?

[CommonClimate]

please include figure generated by the docstring plot() call so we can see what this looks like

[niatimary]

@CommonClimate
This PR adds LERM transition detection capabilities and introduces new utilities (Rupture wrapper + metrics):

New Modules:

• utils/ruptures_transitions.py
• utils/metrics.py

Improvements:
-core/rqa_res.py
-core/series.py
-core/transitions.py
-utils/__init__.py

Test:
-tests/test_utils_ruptures.py

Figures showing LERM detection with different block_size values are attached to demonstrate the sensitivity of the ruptures algorithm. Rupture results are also included.

• LERM validation result for different block_size

• Rupture validation result

[CommonClimate]

Thanks @niatimary . Can you explain what is on the right-hand side of the first figure? Are you validating against the results of the KS test or to D/O events identified in the literature? In any case, the FI should be shown under the primary timeseries (d18O in this case) so we can compare the timing. Having to look left and right does not help see alignment.

[niatimary]

@CommonClimate

I fixed the issues and pushed to the TippingPoints repo. For Ammonyte, I added a DetectionMetrics class and a test file to verify it's working correctly.