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convolutional_neural_network.py
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126 lines (109 loc) · 4.75 KB
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import numpy as np
from sklearn.datasets import fetch_openml
from nn_layers import Conv, MaxPooling, FullyConnect, Activation, Softmax, BatchNormalization
# This implements Lenet-4, test on MNIST dataset
# gradient check for all layers for input x, w, b
class CNN(object):
def __init__(self, x_shape, label_num):
self.batch_size, lr = 32, 1e-3
# Conv > Normalization > Activation > Dropout > Pooling
conv1 = Conv(in_shape=x_shape, k_num=6, k_size=5, lr=lr)
bn1 = BatchNormalization(in_shape=conv1.out_shape, lr=lr)
relu1 = Activation(act_type="ReLU")
pool1 = MaxPooling(in_shape=conv1.out_shape, k_size=2)
conv2 = Conv(in_shape=pool1.out_shape, k_num=16, k_size=3, lr=lr)
bn2 = BatchNormalization(in_shape=conv2.out_shape, lr=lr)
relu2 = Activation(act_type="ReLU")
pool2 = MaxPooling(in_shape=conv2.out_shape, k_size=2)
fc1 = FullyConnect(pool2.out_shape, [120], lr=lr)
bn3 = BatchNormalization(in_shape=[120], lr=lr)
relu3 = Activation(act_type="ReLU")
fc2 = FullyConnect([120], [label_num], lr=lr)
softmax = Softmax()
self.layers = [
conv1, bn1, relu1, pool1,
conv2, bn2, relu2, pool2,
fc1, bn3, relu3,
fc2, softmax
]
def fit(self, train_x, labels):
n_data = train_x.shape[0]
train_y = np.zeros((n_data, 10))
train_y[np.arange(n_data), labels] = 1
for epoch in range(3):
# mini batch
permut = np.random.permutation(
n_data // self.batch_size * self.batch_size).reshape([-1, self.batch_size])
total_loss = 0
for b_idx in range(permut.shape[0]):
x0 = train_x[permut[b_idx, :]]
y = train_y[permut[b_idx, :]]
out = x0
for layer in self.layers:
out = layer.forward(out)
batch_loss = self.layers[-1].loss(out, y)
if b_idx % 100 == 0:
print("epoch {} batch {} loss: {}".format(
epoch, b_idx, batch_loss))
grad = y
for layer in self.layers[::-1]:
grad = layer.gradient(grad)
for layer in self.layers:
layer.backward()
total_loss += batch_loss
print('acc', self.get_accuracy(train_x, labels),
'avg batch loss', total_loss / permut.shape[0])
def predict(self, x):
out = x
for layer in self.layers:
out = layer.predict_forward(out) if isinstance(
layer, BatchNormalization) else layer.forward(out)
return out
def get_accuracy(self, x, label):
n_correct = 0
for i in range(0, x.shape[0], self.batch_size):
x_batch, label_batch = x[
i: i + self.batch_size], label[i: i + self.batch_size]
n_correct += sum(np.argmax(self.predict(x_batch),
axis=1) == label_batch)
return n_correct / x.shape[0]
def gradient_check(conv=True):
if conv:
layera = Conv(in_shape=[16, 32, 28], k_num=12, k_size=3)
layerb = Conv(in_shape=[16, 32, 28], k_num=12, k_size=3)
else:
layera = FullyConnect(in_shape=[16, 32, 28], out_dim=12)
layerb = FullyConnect(in_shape=[16, 32, 28], out_dim=12)
act_layer = Activation(act_type='Tanh')
layerb.w = layera.w.copy()
layerb.b = layera.b.copy()
eps = 1e-4
x = np.random.randn(10, 16, 32, 28) * 10
for i in range(100):
idxes = tuple((np.random.uniform(0, 1, 4) * x.shape).astype(int))
x_a = x.copy()
x_b = x.copy()
x_a[idxes] += eps
x_b[idxes] -= eps
out = act_layer.forward(layera.forward(x))
gradient = layera.gradient(act_layer.gradient(np.ones(out.shape)))
delta_out = (act_layer.forward(layera.forward(x_a)) -
act_layer.forward(layerb.forward(x_b))).sum()
# the output should be in the order of eps*eps
print(idxes, (delta_out / eps / 2 - gradient[idxes]) / eps / eps)
def main():
x, y = fetch_openml('mnist_784', return_X_y=True, data_home="data")
x = x.reshape(-1, 1, 28, 28)
test_ratio = 0.2
test_split = np.random.uniform(0, 1, x.shape[0])
train_x, train_y = x[test_split >= test_ratio] / \
x.max(), y.astype(np.int_)[test_split >= test_ratio]
test_x, test_y = x[test_split < test_ratio] / \
x.max(), y.astype(np.int_)[test_split < test_ratio]
cnn = CNN(x.shape[1:4], 10)
cnn.fit(train_x, train_y)
print('train acc', cnn.get_accuracy(train_x, train_y))
print('test acc', cnn.get_accuracy(test_x, test_y))
if __name__ == "__main__":
# gradient_check()
main()