def test_chain_rule_factors(self):
image_data = [0.1, 0.3, 0.7]
image_layer = Image(image_data=image_data, shape=(3, 1), maximum=1)
softmax = SoftMax([1, 2])
model = Model(layers=[image_layer, softmax])
model.compile(build=True)
# bump and grind
p0 = model.value()
epsilon = 1e-6
crf_bumped = []
for i in range(len(image_data)):
model.update_data_layer([((d + epsilon) if i == j else d)
for j, d in enumerate(image_data)],
maximum=1)
p1 = model.value()
crf_bumped.append([(pp1 - pp0) / epsilon
for pp0, pp1 in zip(p0, p1)])
crf_bumped = np.array(crf_bumped).transpose()
crf_layer = softmax.chain_rule_factors(cache={})
crf_model = model.chain_rule_factors()
for g, j, m in zip(flatten(crf_bumped), flatten(crf_layer),
flatten(crf_model)):
print(f'{g:8.6f} {j:8.6f} {m:8.6f}')
for g, j, m in zip(flatten(crf_bumped), flatten(crf_layer),
flatten(crf_model)):
self.assertAlmostEqual(g, j, delta=0.001)
self.assertAlmostEqual(j, m, delta=0.000001)
def test_mnist_image(self):
image_data = [
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 44.25, 122.75, 126.5, 70.5,
0.0, 0.0, 0.0, 0.0, 0.0, 6.5, 1.5, 0.0, 16.75, 203.75, 249.5,
252.0, 252.0, 246.5, 214.75, 37.5, 0.0, 0.0, 0.0, 25.25, 6.0, 0.0,
7.0, 123.5, 166.75, 162.25, 201.25, 252.5, 181.5, 9.25, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 30.0, 167.5, 248.75, 240.5, 129.0, 27.5,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 212.75, 252.5, 208.75,
26.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 34.25,
71.5, 214.75, 202.0, 31.5, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 13.25, 169.5, 167.25, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 148.25, 190.5, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 12.75, 210.0, 159.5, 65.75, 167.5, 209.75, 252.5, 78.25,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 3.25, 168.0, 252.5, 251.25, 238.25,
163.75, 58.75, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 15.75,
106.5, 60.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0,
0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0
]
model = Model(layers=[
Image(image_data=image_data, maximum=256),
CNN(reLU(), (3, 3)),
Dense(reLU(), (3, 1)),
Category([1, 2, 3]),
])
model.compile(build=True)
model.jacobian()
weights = model.weights()
derivatives = [w.derivative() for w in weights]
pass
def test_jacobian_category_3(self):
image_data = [0.2, 0.5, 0.3]
categories = [1, 2, 4]
model = Model(layers=[
Image(image_data=image_data, shape=(3, 1), maximum=1),
Category(categories),
])
model.compile(build=True)
v = model.value()
self.assertEqual(v, [max(image_data)])
p = model.predict()
self.assertEqual(p, [categories[int(np.argmax(np.array(image_data)))]])
pass
def test_jacobian(self):
image_layer = Image(image_data=[0.1, 0.3, 0.7], shape=(3, 1))
softmax = SoftMax([1, 2])
model = Model(layers=[image_layer, softmax])
model.compile(build=True)
# bump and grind
gradients = finite_differences(model, False)
gradients = list(flatten(gradients.values()))
jacobian = list(flatten(softmax.jacobian(cache={})))
mod_jacb = list(flatten(model.jacobian()))
assert len(gradients) == len(jacobian)
for g, j, m in zip(gradients, jacobian, mod_jacb):
print(f'{g:8.6f} {j:8.6f} {m:8.6f}')
for g, j, m in zip(gradients, jacobian, mod_jacb):
self.assertAlmostEqual(g, j, delta=0.001)
self.assertAlmostEqual(j, m, delta=0.000001)
def test_softmax_tiny(self):
image_data = [0.2, 0.1]
categories = [1, 2, 3]
model = Model(layers=[
Image(image_data=image_data, shape=(2, 1), maximum=1),
SoftMax(categories),
])
model.compile(build=True)
v = model.value()
softmax_value = model._layers[1]._nodes[0].value({})
self.assertEqual(len(categories), len(softmax_value))
softmax_derivative = model._layers[1]._nodes[0].derivative({})
bumped_derivatives = finite_differences(model, False)
for i in range(6):
for j in range(3):
self.assertAlmostEqual(softmax_derivative[i][j],
list(bumped_derivatives.values())[i][j])
pass
def test_jacobian(self):
mndata = MNISTData(path='../mnist')
images, labels = mndata.training()
r = 49 # a nice number three
image_layer = Image(image_data=images[r], label=labels[r])
dense = Dense(reLU(), (1, 1))
model = Model(layers=[image_layer, dense])
model.compile(build=True)
weight_count = model.weight_count()
# bump and grind
gradients = finite_differences(model, False)
jacobian = list(flatten(dense.jacobian()))
mod_jacb = list(flatten(model.jacobian()))
assert len(gradients) == len(jacobian)
for g, j, m in zip(gradients.values(), jacobian, mod_jacb):
print(f'{g[0]:8.6f} {j:8.6f} {m:8.6f}')
for g, j, m in zip(gradients.values(), jacobian, mod_jacb):
self.assertAlmostEqual(g[0], j, delta=0.001)
self.assertAlmostEqual(j, m, delta=0.000001)
from j2learn.layer.image import Image
from j2learn.model.model import Model
from j2learn.etc.tools import finite_difference
mndata = MNISTData(path='../mnist')
images, labels = mndata.training()
r = 49 # a nice number three
image_layer = Image(image_data=images[r], label=labels[r])
cnn = CNN(reLU(), (3, 3), (0, 0))
dense = Dense(reLU(), (10, 1))
category = Category([i for i in range(10)])
model = Model(layers=[image_layer, cnn, dense, category])
model.compile(build=True)
cat = model.predict()
print(cat)
prob = model.probability()
print(prob)
n_weights = model.weight_count()
gradient = 0
i = 0
while gradient == 0 and i < n_weights:
gradient = finite_difference(model, i, epsilon=0.01)
i += 1
print(gradient)
