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NeuralNetworkTests.py
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1962 lines (1601 loc) · 90.8 KB
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import unittest
try:
LSTM_TEST = True
from Layers import *
except BaseException as e:
if str(e)[-6:] == "'LSTM'":
LSTM_TEST = False
else:
raise e
from Optimization import *
import numpy as np
from scipy import stats
from scipy.ndimage import gaussian_filter
import NeuralNetwork
import matplotlib.pyplot as plt
import os
import argparse
import tabulate
ID = 3 # identifier for dispatcher
class TestFullyConnected(unittest.TestCase):
def setUp(self):
self.batch_size = 9
self.input_size = 4
self.output_size = 3
self.input_tensor = np.random.rand(self.batch_size, self.input_size)
self.categories = 4
self.label_tensor = np.zeros([self.batch_size, self.categories])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.categories)] = 1
class TestInitializer:
def __init__(self):
self.fan_in = None
self.fan_out = None
def initialize(self, shape, fan_in, fan_out):
self.fan_in = fan_in
self.fan_out = fan_out
weights = np.zeros(shape)
weights[0] = 1
weights[1] = 2
return weights
def test_trainable(self):
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
self.assertTrue(layer.trainable)
def test_weights_size(self):
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
self.assertTrue((layer.weights.shape) in ((self.input_size + 1, self.output_size), (self.output_size, self.input_size + 1)))
def test_forward_size(self):
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
output_tensor = layer.forward(self.input_tensor)
self.assertEqual(output_tensor.shape[1], self.output_size)
self.assertEqual(output_tensor.shape[0], self.batch_size)
def test_backward_size(self):
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
output_tensor = layer.forward(self.input_tensor)
error_tensor = layer.backward(output_tensor)
self.assertEqual(error_tensor.shape[1], self.input_size)
self.assertEqual(error_tensor.shape[0], self.batch_size)
def test_update(self):
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
layer.optimizer = Optimizers.Sgd(1)
for _ in range(10):
output_tensor = layer.forward(self.input_tensor)
error_tensor = np.zeros([ self.batch_size, self.output_size])
error_tensor -= output_tensor
layer.backward(error_tensor)
new_output_tensor = layer.forward(self.input_tensor)
self.assertLess(np.sum(np.power(output_tensor, 2)), np.sum(np.power(new_output_tensor, 2)))
def test_update_bias(self):
input_tensor = np.zeros([self.batch_size, self.input_size])
layer = FullyConnected.FullyConnected(self.input_size, self.output_size)
layer.optimizer = Optimizers.Sgd(1)
for _ in range(10):
output_tensor = layer.forward(input_tensor)
error_tensor = np.zeros([self.batch_size, self.output_size])
error_tensor -= output_tensor
layer.backward(error_tensor)
new_output_tensor = layer.forward(input_tensor)
self.assertLess(np.sum(np.power(output_tensor, 2)), np.sum(np.power(new_output_tensor, 2)))
def test_gradient(self):
input_tensor = np.abs(np.random.random((self.batch_size, self.input_size)))
layers = list()
layers.append(FullyConnected.FullyConnected(self.input_size, self.categories))
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_gradient_weights(self):
input_tensor = np.abs(np.random.random((self.batch_size, self.input_size)))
layers = list()
layers.append(FullyConnected.FullyConnected(self.input_size, self.categories))
layers.append(L2Loss())
difference = Helpers.gradient_check_weights(layers, input_tensor, self.label_tensor, False)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_bias(self):
input_tensor = np.zeros((1, 100000))
layer = FullyConnected.FullyConnected(100000, 1)
result = layer.forward(input_tensor)
self.assertGreater(np.sum(result), 0)
def test_initialization(self):
input_size = 4
categories = 10
layer = FullyConnected.FullyConnected(input_size, categories)
init = TestFullyConnected.TestInitializer()
layer.initialize(init, Initializers.Constant(0.5))
self.assertEqual(init.fan_in, input_size)
self.assertEqual(init.fan_out, categories)
if layer.weights.shape[0]>layer.weights.shape[1]:
self.assertLessEqual(np.sum(layer.weights) - 17, 1e-5)
else:
self.assertLessEqual(np.sum(layer.weights) - 35, 1e-5)
class TestReLU(unittest.TestCase):
def setUp(self):
self.input_size = 5
self.batch_size = 10
self.half_batch_size = int(self.batch_size / 2)
self.input_tensor = np.ones([self.batch_size, self.input_size])
self.input_tensor[0:self.half_batch_size,:] -= 2
self.label_tensor = np.zeros([self.batch_size, self.input_size])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.input_size)] = 1
def test_trainable(self):
layer = ReLU.ReLU()
self.assertFalse(layer.trainable)
def test_forward(self):
expected_tensor = np.zeros([self.batch_size, self.input_size])
expected_tensor[self.half_batch_size:self.batch_size, :] = 1
layer = ReLU.ReLU()
output_tensor = layer.forward(self.input_tensor)
self.assertEqual(np.sum(np.power(output_tensor-expected_tensor, 2)), 0)
def test_backward(self):
expected_tensor = np.zeros([self.batch_size, self.input_size])
expected_tensor[self.half_batch_size:self.batch_size, :] = 2
layer = ReLU.ReLU()
layer.forward(self.input_tensor)
output_tensor = layer.backward(self.input_tensor*2)
self.assertEqual(np.sum(np.power(output_tensor - expected_tensor, 2)), 0)
def test_gradient(self):
input_tensor = np.abs(np.random.random((self.batch_size, self.input_size)))
input_tensor *= 2.
input_tensor -= 1.
layers = list()
layers.append(ReLU.ReLU())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-5)
class TestTanH(unittest.TestCase):
def setUp(self):
self.input_size = 5
self.batch_size = 10
self.half_batch_size = int(self.batch_size / 2)
self.input_tensor = np.abs(np.random.random((self.input_size, self.batch_size))).T
self.input_tensor *= 2.
self.input_tensor -= 1.
self.label_tensor = np.zeros([self.input_size, self.batch_size]).T
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.input_size)] = 1
def test_trainable(self):
layer = TanH.TanH()
self.assertFalse(layer.trainable, msg="Error: trainable member for TanH is set incorrectly.")
def test_forward(self):
expected_tensor = 1 - 2 / (np.exp(2*self.input_tensor) + 1)
layer = TanH.TanH()
output_tensor = layer.forward(self.input_tensor)
self.assertAlmostEqual(np.sum(np.power(output_tensor-expected_tensor, 2)), 0)
def test_range(self):
layer = TanH.TanH()
output_tensor = layer.forward(self.input_tensor*2)
out_max = np.max(output_tensor)
out_min = np.min(output_tensor)
self.assertLessEqual(out_max, 1., msg="Error: Output of TanH should always be smaller than 1")
self.assertGreaterEqual(out_min, -1., msg="Error: Output of TanH should always be greater than -1")
def test_gradient(self):
layers = list()
layers.append(TanH.TanH())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, self.input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-5)
class TestSigmoid(unittest.TestCase):
def setUp(self):
self.input_size = 5
self.batch_size = 10
self.half_batch_size = int(self.batch_size / 2)
self.input_tensor = np.abs(np.random.random((self.input_size, self.batch_size))).T
self.input_tensor *= 2.
self.input_tensor -= 1.
self.label_tensor = np.zeros([self.input_size, self.batch_size]).T
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.input_size)] = 1
def test_trainable(self):
layer = Sigmoid.Sigmoid()
self.assertFalse(layer.trainable, msg="Error: trainable member for TanH is set incorrectly.")
def test_forward(self):
expected_tensor = 0.5 * (1. + np.tanh(self.input_tensor / 2.))
layer = Sigmoid.Sigmoid()
output_tensor = layer.forward(self.input_tensor)
self.assertAlmostEqual(np.sum(np.power(output_tensor-expected_tensor, 2)), 0)
def test_range(self):
layer = Sigmoid.Sigmoid()
output_tensor = layer.forward(self.input_tensor*2)
out_max = np.max(output_tensor)
out_min = np.min(output_tensor)
self.assertLessEqual(out_max, 1., msg="Error: Output of Sigmoid should always be smaller than 1")
self.assertGreaterEqual(out_min, 0., msg="Error: Output of Sigmoid should always be greater than 0")
def test_gradient(self):
layers = list()
layers.append(Sigmoid.Sigmoid())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, self.input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-5)
class TestSoftMax(unittest.TestCase):
def setUp(self):
self.batch_size = 9
self.categories = 4
self.label_tensor = np.zeros([self.batch_size, self.categories])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.categories)] = 1
def test_trainable(self):
layer = SoftMax.SoftMax()
self.assertFalse(layer.trainable)
def test_forward_shift(self):
input_tensor = np.zeros([self.batch_size, self.categories]) + 10000.
layer = SoftMax.SoftMax()
pred = layer.forward(input_tensor)
self.assertFalse(np.isnan(np.sum(pred)))
def test_forward_zero_loss(self):
input_tensor = self.label_tensor * 100.
layer = SoftMax.SoftMax()
loss_layer = L2Loss()
pred = layer.forward(input_tensor)
loss = loss_layer.forward(pred, self.label_tensor)
self.assertLess(loss, 1e-10)
def test_backward_zero_loss(self):
input_tensor = self.label_tensor * 100.
layer = SoftMax.SoftMax()
loss_layer = Loss.CrossEntropyLoss()
pred = layer.forward(input_tensor)
loss_layer.forward(pred, self.label_tensor)
error = loss_layer.backward(self.label_tensor)
error = layer.backward(error)
self.assertAlmostEqual(np.sum(error), 0)
def test_regression_high_loss(self):
input_tensor = self.label_tensor - 1.
input_tensor *= -100.
layer = SoftMax.SoftMax()
loss_layer = L2Loss()
pred = layer.forward(input_tensor)
loss = loss_layer.forward(pred, self.label_tensor)
self.assertAlmostEqual(float(loss), 12)
def test_regression_backward_high_loss_w_CrossEntropy(self):
input_tensor = self.label_tensor - 1
input_tensor *= -10.
layer = SoftMax.SoftMax()
loss_layer = Loss.CrossEntropyLoss()
pred = layer.forward(input_tensor)
loss_layer.forward(pred, self.label_tensor)
error = loss_layer.backward(self.label_tensor)
error = layer.backward(error)
# test if every wrong class confidence is decreased
for element in error[self.label_tensor == 0]:
self.assertAlmostEqual(element, 1/3, places = 3)
# test if every correct class confidence is increased
for element in error[self.label_tensor == 1]:
self.assertAlmostEqual(element, -1, places = 3)
def test_regression_forward(self):
np.random.seed(1337)
input_tensor = np.abs(np.random.random(self.label_tensor.shape))
layer = SoftMax.SoftMax()
loss_layer = L2Loss()
pred = layer.forward(input_tensor)
loss = loss_layer.forward(pred, self.label_tensor)
# just see if it's bigger then zero
self.assertGreater(float(loss), 0.)
def test_regression_backward(self):
input_tensor = np.abs(np.random.random(self.label_tensor.shape))
layer = SoftMax.SoftMax()
loss_layer = L2Loss()
pred = layer.forward(input_tensor)
loss_layer.forward(pred, self.label_tensor)
error = layer.backward(self.label_tensor)
# test if every wrong class confidence is decreased
for element in error[self.label_tensor == 0]:
self.assertLessEqual(element, 0)
# test if every correct class confidence is increased
for element in error[self.label_tensor == 1]:
self.assertGreaterEqual(element, 0)
def test_gradient(self):
input_tensor = np.abs(np.random.random(self.label_tensor.shape))
layers = list()
layers.append(SoftMax.SoftMax())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_predict(self):
input_tensor = np.arange(self.categories * self.batch_size)
input_tensor = input_tensor / 100.
input_tensor = input_tensor.reshape((self.categories, self.batch_size))
# print(input_tensor)
layer = SoftMax.SoftMax()
prediction = layer.forward(input_tensor.T)
# print(prediction)
expected_values = np.array([[0.21732724, 0.21732724, 0.21732724, 0.21732724, 0.21732724, 0.21732724, 0.21732724,
0.21732724, 0.21732724],
[0.23779387, 0.23779387, 0.23779387, 0.23779387, 0.23779387, 0.23779387, 0.23779387,
0.23779387, 0.23779387],
[0.26018794, 0.26018794, 0.26018794, 0.26018794, 0.26018794, 0.26018794, 0.26018794,
0.26018794, 0.26018794],
[0.28469095, 0.28469095, 0.28469095, 0.28469095, 0.28469095, 0.28469095, 0.28469095,
0.28469095, 0.28469095]])
# print(expected_values)
# print(prediction)
np.testing.assert_almost_equal(expected_values, prediction.T)
class TestCrossEntropyLoss(unittest.TestCase):
def setUp(self):
self.batch_size = 9
self.categories = 4
self.label_tensor = np.zeros([self.batch_size, self.categories])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.categories)] = 1
def test_gradient(self):
input_tensor = np.abs(np.random.random(self.label_tensor.shape))
layers = list()
layers.append(Loss.CrossEntropyLoss())
difference = Helpers.gradient_check(layers, input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-4)
def test_zero_loss(self):
layer = Loss.CrossEntropyLoss()
loss = layer.forward(self.label_tensor, self.label_tensor)
self.assertAlmostEqual(loss, 0)
def test_high_loss(self):
label_tensor = np.zeros((self.batch_size, self.categories))
label_tensor[:, 2] = 1
input_tensor = np.zeros_like(label_tensor)
input_tensor[:, 1] = 1
layer = Loss.CrossEntropyLoss()
loss = layer.forward(input_tensor, label_tensor)
self.assertAlmostEqual(loss, 324.3928805, places = 4)
class TestOptimizers(unittest.TestCase):
def test_sgd(self):
optimizer = Optimizers.Sgd(1.)
result = optimizer.calculate_update(1., 1.)
np.testing.assert_almost_equal(result, np.array([0.]))
result = optimizer.calculate_update(result, 1.)
np.testing.assert_almost_equal(result, np.array([-1.]))
def test_sgd_with_momentum(self):
optimizer = Optimizers.SgdWithMomentum(1., 0.9)
result = optimizer.calculate_update(1., 1.)
np.testing.assert_almost_equal(result, np.array([0.]))
result = optimizer.calculate_update(result, 1.)
np.testing.assert_almost_equal(result, np.array([-1.9]))
def test_adam(self):
optimizer = Optimizers.Adam(1., 0.01, 0.02)
result = optimizer.calculate_update(1., 1.)
np.testing.assert_almost_equal(result, np.array([0.]))
result = optimizer.calculate_update(result, .5)
np.testing.assert_almost_equal(result, np.array([-0.9814473195614205]))
class TestInitializers(unittest.TestCase):
class DummyLayer:
def __init__(self, input_size, output_size):
self.weights = []
self.shape = (output_size, input_size)
def initialize(self, initializer):
self.weights = initializer.initialize(self.shape, self.shape[1], self.shape[0])
def setUp(self):
self.batch_size = 9
self.input_size = 400
self.output_size = 400
self.num_kernels = 20
self.num_channels = 20
self.kernelsize_x = 41
self.kernelsize_y = 41
def _performInitialization(self, initializer):
np.random.seed(1337)
layer = TestInitializers.DummyLayer(self.input_size, self.output_size)
layer.initialize(initializer)
weights_after_init = layer.weights.copy()
return layer.shape, weights_after_init
def test_uniform_shape(self):
weights_shape, weights_after_init = self._performInitialization(Initializers.UniformRandom())
self.assertEqual(weights_shape, weights_after_init.shape)
def test_uniform_distribution(self):
weights_shape, weights_after_init = self._performInitialization(Initializers.UniformRandom())
p_value = stats.kstest(weights_after_init.flat, 'uniform', args=(0, 1)).pvalue
self.assertGreater(p_value, 0.01)
def test_xavier_shape(self):
weights_shape, weights_after_init = self._performInitialization(Initializers.Xavier())
self.assertEqual(weights_shape, weights_after_init.shape)
def test_xavier_distribution(self):
weights_shape, weights_after_init = self._performInitialization(Initializers.Xavier())
scale = np.sqrt(2) / np.sqrt(self.input_size + self.output_size)
p_value = stats.kstest(weights_after_init.flat, 'norm', args=(0, scale)).pvalue
self.assertGreater(p_value, 0.01)
def test_he_shape(self):
weights_shape, weights_after_init = self._performInitialization(Initializers.He())
self.assertEqual(weights_shape, weights_after_init.shape)
def test_he_distribution(self):
weights_before_init, weights_after_init = self._performInitialization(Initializers.He())
scale = np.sqrt(2) / np.sqrt(self.input_size)
p_value = stats.kstest(weights_after_init.flat, 'norm', args=(0, scale)).pvalue
self.assertGreater(p_value, 0.01)
class TestFlatten(unittest.TestCase):
def setUp(self):
self.batch_size = 9
self.input_shape = (3, 4, 11)
self.input_tensor = np.array(range(int(np.prod(self.input_shape) * self.batch_size)), dtype=float)
self.input_tensor = self.input_tensor.reshape(self.batch_size, *self.input_shape)
def test_trainable(self):
layer = Flatten.Flatten()
self.assertFalse(layer.trainable)
def test_flatten_forward(self):
flatten = Flatten.Flatten()
output_tensor = flatten.forward(self.input_tensor)
input_vector = np.array(range(int(np.prod(self.input_shape) * self.batch_size)), dtype=float)
input_vector = input_vector.reshape(self.batch_size, np.prod(self.input_shape))
self.assertLessEqual(np.sum(np.abs(output_tensor-input_vector)), 1e-9)
def test_flatten_backward(self):
flatten = Flatten.Flatten()
output_tensor = flatten.forward(self.input_tensor)
backward_tensor = flatten.backward(output_tensor)
self.assertLessEqual(np.sum(np.abs(self.input_tensor - backward_tensor)), 1e-9)
class TestConv(unittest.TestCase):
plot = False
directory = 'plots/'
class TestInitializer:
def __init__(self):
self.fan_in = None
self.fan_out = None
def initialize(self, shape, fan_in, fan_out):
self.fan_in = fan_in
self.fan_out = fan_out
weights = np.zeros((1, 3, 3, 3))
weights[0, 1, 1, 1] = 1
return weights
def setUp(self):
self.batch_size = 2
self.input_shape = (3, 10, 14)
self.input_size = 14 * 10 * 3
self.uneven_input_shape = (3, 11, 15)
self.uneven_input_size = 15 * 11 * 3
self.spatial_input_shape = np.prod(self.input_shape[1:])
self.kernel_shape = (3, 5, 8)
self.num_kernels = 4
self.hidden_channels = 3
self.categories = 105
self.label_tensor = np.zeros([self.batch_size, self.categories])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.categories)] = 1
def test_trainable(self):
layer = Conv.Conv((1, 1), self.kernel_shape, self.num_kernels)
self.assertTrue(layer.trainable)
def test_forward_size(self):
conv = Conv.Conv((1, 1), self.kernel_shape, self.num_kernels)
input_tensor = np.array(range(int(np.prod(self.input_shape) * self.batch_size)), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
self.assertEqual(output_tensor.shape, (self.batch_size, self.num_kernels, *self.input_shape[1:]))
def test_forward_size_stride(self):
conv = Conv.Conv((3, 2), self.kernel_shape, self.num_kernels)
input_tensor = np.array(range(int(np.prod(self.input_shape) * self.batch_size)), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
self.assertEqual(output_tensor.shape, (self.batch_size, self.num_kernels, 4, 7))
def test_forward_size_stride_uneven_image(self):
conv = Conv.Conv((3, 2), self.kernel_shape, self.num_kernels + 1)
input_tensor = np.array(range(int(np.prod(self.uneven_input_shape) * (self.batch_size + 1))), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size + 1, *self.uneven_input_shape)
output_tensor = conv.forward(input_tensor)
self.assertEqual(output_tensor.shape, ( self.batch_size+1, self.num_kernels+1, 4, 8))
def test_forward(self):
np.random.seed(1337)
conv = Conv.Conv((1, 1), (1, 3, 3), 1)
conv.weights = (1./15.) * np.array([[[1, 2, 1], [2, 3, 2], [1, 2, 1]]])
conv.bias = np.array([0])
conv.weights = np.expand_dims(conv.weights, 0)
input_tensor = np.random.random((1, 1, 10, 14))
expected_output = gaussian_filter(input_tensor[0, 0, :, :], 0.85, mode='constant', cval=0.0, truncate=1.0)
output_tensor = conv.forward(input_tensor).reshape((10, 14))
difference = np.max(np.abs(expected_output - output_tensor))
self.assertAlmostEqual(difference, 0., places=1)
def test_forward_multi_channel(self):
np.random.seed(1337)
maps_in = 2
bias = 1
conv = Conv.Conv((1, 1), (maps_in, 3, 3), 1)
filter = (1./15.) * np.array([[[1, 2, 1], [2, 3, 2], [1, 2, 1]]])
conv.weights = np.repeat(filter[None, ...], maps_in, axis=1)
conv.bias = np.array([bias])
input_tensor = np.random.random((1, maps_in, 10, 14))
expected_output = bias
for map_i in range(maps_in):
expected_output = expected_output + gaussian_filter(input_tensor[0, map_i, :, :], 0.85, mode='constant', cval=0.0, truncate=1.0)
output_tensor = conv.forward(input_tensor).reshape((10, 14))
difference = np.max(np.abs(expected_output - output_tensor) / maps_in)
self.assertAlmostEqual(difference, 0., places=1)
def test_forward_fully_connected_channels(self):
np.random.seed(1337)
conv = Conv.Conv((1, 1), (3, 3, 3), 1)
conv.weights = (1. / 15.) * np.array([[[1, 2, 1], [2, 3, 2], [1, 2, 1]], [[1, 2, 1], [2, 3, 2], [1, 2, 1]], [[1, 2, 1], [2, 3, 2], [1, 2, 1]]])
conv.bias = np.array([0])
conv.weights = np.expand_dims(conv.weights, 0)
tensor = np.random.random((1, 1, 10, 14))
input_tensor = np.zeros((1, 3 , 10, 14))
input_tensor[:,0] = tensor.copy()
input_tensor[:,1] = tensor.copy()
input_tensor[:,2] = tensor.copy()
expected_output = 3 * gaussian_filter(input_tensor[0, 0, :, :], 0.85, mode='constant', cval=0.0, truncate=1.0)
output_tensor = conv.forward(input_tensor).reshape((10, 14))
difference = np.max(np.abs(expected_output - output_tensor))
self.assertLess(difference, 0.2)
def test_1D_forward_size(self):
conv = Conv.Conv([2], (3, 3), self.num_kernels)
input_tensor = np.array(range(3 * 15 * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape((self.batch_size, 3, 15))
output_tensor = conv.forward(input_tensor)
self.assertEqual(output_tensor.shape, (self.batch_size,self.num_kernels, 8))
def test_backward_size(self):
conv = Conv.Conv((1, 1), self.kernel_shape, self.num_kernels)
input_tensor = np.array(range(np.prod(self.input_shape) * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
error_tensor = conv.backward(output_tensor)
self.assertEqual(error_tensor.shape, (self.batch_size, *self.input_shape))
def test_backward_size_stride(self):
conv = Conv.Conv((3, 2), self.kernel_shape, self.num_kernels)
input_tensor = np.array(range(np.prod(self.input_shape) * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
error_tensor = conv.backward(output_tensor)
self.assertEqual(error_tensor.shape, (self.batch_size, *self.input_shape))
def test_1D_backward_size(self):
conv = Conv.Conv([2], (3, 3), self.num_kernels)
input_tensor = np.array(range(45 * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape((self.batch_size, 3, 15))
output_tensor = conv.forward(input_tensor)
error_tensor = conv.backward(output_tensor)
self.assertEqual(error_tensor.shape, (self.batch_size, 3, 15))
def test_1x1_convolution(self):
conv = Conv.Conv((1, 1), (3, 1, 1), self.num_kernels)
input_tensor = np.array(range(self.input_size * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
self.assertEqual(output_tensor.shape, (self.batch_size, self.num_kernels, *self.input_shape[1:]))
error_tensor = conv.backward(output_tensor)
self.assertEqual(error_tensor.shape, (self.batch_size, *self.input_shape))
def test_layout_preservation(self):
conv = Conv.Conv((1, 1), (3, 3, 3), 1)
conv.initialize(self.TestInitializer(), Initializers.Constant(0.0))
input_tensor = np.array(range(np.prod(self.input_shape) * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = conv.forward(input_tensor)
self.assertAlmostEqual(np.sum(np.abs(np.squeeze(output_tensor) - input_tensor[:,1,:,:])), 0.)
def test_gradient(self):
np.random.seed(1337)
input_tensor = np.abs(np.random.random((2, 3, 5, 7)))
layers = list()
layers.append(Conv.Conv((1, 1), (3, 3, 3), self.hidden_channels))
layers.append(Flatten.Flatten())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 5e-2)
def test_gradient_weights(self):
np.random.seed(1337)
input_tensor = np.abs(np.random.random((2, 3, 5, 7)))
layers = list()
layers.append(Conv.Conv((1, 1), (3, 3, 3), self.hidden_channels))
layers.append(Flatten.Flatten())
layers.append(L2Loss())
difference = Helpers.gradient_check_weights(layers, input_tensor, self.label_tensor, False)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_gradient_weights_strided(self):
np.random.seed(1337)
label_tensor = np.random.random([self.batch_size, 36])
input_tensor = np.abs(np.random.random((2, 3, 5, 7)))
layers = list()
layers.append(Conv.Conv((2, 2), (3, 3, 3), self.hidden_channels))
layers.append(Flatten.Flatten())
layers.append(L2Loss())
difference = Helpers.gradient_check_weights(layers, input_tensor, label_tensor, False)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_gradient_bias(self):
np.random.seed(1337)
input_tensor = np.abs(np.random.random((2, 3, 5, 7)))
layers = list()
layers.append(Conv.Conv((1, 1), (3, 3, 3), self.hidden_channels))
layers.append(Flatten.Flatten())
layers.append(L2Loss())
difference = Helpers.gradient_check_weights(layers, input_tensor, self.label_tensor, True)
self.assertLessEqual(np.sum(difference), 1e-5)
def test_weights_init(self):
# simply checks whether you have not initialized everything with zeros
conv = Conv.Conv((1, 1), (100, 10, 10), 150)
self.assertGreater(np.mean(np.abs(conv.weights)), 1e-3)
def test_bias_init(self):
conv = Conv.Conv((1, 1), (1, 1, 1), 150 * 100 * 10 * 10)
self.assertGreater(np.mean(np.abs(conv.bias)), 1e-3)
def test_gradient_stride(self):
np.random.seed(1337)
label_tensor = np.random.random([self.batch_size, 35])
input_tensor = np.abs(np.random.random((2, 6, 5, 14)))
layers = list()
layers.append(Conv.Conv((1, 2), (6, 3, 3), 1))
layers.append(Flatten.Flatten())
layers.append(L2Loss())
difference = Helpers.gradient_check(layers, input_tensor, label_tensor)
self.assertLessEqual(np.sum(difference), 1e-4)
def test_update(self):
input_tensor = np.random.uniform(-1, 1, (self.batch_size, *self.input_shape))
conv = Conv.Conv((3, 2), self.kernel_shape, self.num_kernels)
conv.optimizer = Optimizers.Sgd(1)
conv.initialize(Initializers.He(), Initializers.Constant(0.1))
# conv.weights = np.random.rand(4, 3, 5, 8)
# conv.bias = 0.1 * np.ones(4)
for _ in range(10):
output_tensor = conv.forward(input_tensor)
error_tensor = np.zeros_like(output_tensor)
error_tensor -= output_tensor
conv.backward(error_tensor)
new_output_tensor = conv.forward(input_tensor)
self.assertLess(np.sum(np.power(output_tensor, 2)), np.sum(np.power(new_output_tensor, 2)))
def test_initialization(self):
conv = Conv.Conv((1, 1), self.kernel_shape, self.num_kernels)
init = TestConv.TestInitializer()
conv.initialize(init, Initializers.Constant(0.1))
self.assertEqual(init.fan_in, np.prod(self.kernel_shape))
self.assertEqual(init.fan_out, np.prod(self.kernel_shape[1:]) * self.num_kernels)
class TestPooling(unittest.TestCase):
plot = False
directory = 'plots/'
def setUp(self):
self.batch_size = 2
self.input_shape = (2, 4, 7)
self.input_size = np.prod(self.input_shape)
np.random.seed(1337)
self.input_tensor = np.random.uniform(-1, 1, (self.batch_size, *self.input_shape))
self.categories = 12
self.label_tensor = np.zeros([self.batch_size, self.categories])
for i in range(self.batch_size):
self.label_tensor[i, np.random.randint(0, self.categories)] = 1
self.layers = list()
self.layers.append(None)
self.layers.append(Flatten.Flatten())
self.layers.append(L2Loss())
self.plot_shape = (self.input_shape[0], np.prod(self.input_shape[1:]))
def test_trainable(self):
layer = Pooling.Pooling((2, 2), (2, 2))
self.assertFalse(layer.trainable)
def test_shape(self):
layer = Pooling.Pooling((2, 2), (2, 2))
result = layer.forward(self.input_tensor)
expected_shape = np.array([self.batch_size, 2, 2, 3])
self.assertEqual(np.sum(np.abs(np.array(result.shape) - expected_shape)), 0)
def test_overlapping_shape(self):
layer = Pooling.Pooling((2, 1), (2, 2))
result = layer.forward(self.input_tensor)
expected_shape = np.array([self.batch_size, 2, 2, 6])
self.assertEqual(np.sum(np.abs(np.array(result.shape) - expected_shape)), 0)
def test_subsampling_shape(self):
layer = Pooling.Pooling((3, 2), (2, 2))
result = layer.forward(self.input_tensor)
expected_shape = np.array([self.batch_size, 2, 1, 3])
self.assertEqual(np.sum(np.abs(np.array(result.shape) - expected_shape)), 0)
def test_gradient_stride(self):
self.layers[0] = Pooling.Pooling((2, 2), (2, 2))
difference = Helpers.gradient_check(self.layers, self.input_tensor, self.label_tensor)
self.assertLessEqual(np.sum(difference), 1e-6)
def test_gradient_overlapping_stride(self):
label_tensor = np.random.random((self.batch_size, 24))
self.layers[0] = Pooling.Pooling((2, 1), (2, 2))
difference = Helpers.gradient_check(self.layers, self.input_tensor, label_tensor)
self.assertLessEqual(np.sum(difference), 1e-6)
def test_gradient_subsampling_stride(self):
label_tensor = np.random.random((self.batch_size, 6))
self.layers[0] = Pooling.Pooling((3, 2), (2, 2))
difference = Helpers.gradient_check(self.layers, self.input_tensor, label_tensor)
self.assertLessEqual(np.sum(difference), 1e-6)
def test_layout_preservation(self):
pool = Pooling.Pooling((1, 1), (1, 1))
input_tensor = np.array(range(np.prod(self.input_shape) * self.batch_size), dtype=float)
input_tensor = input_tensor.reshape(self.batch_size, *self.input_shape)
output_tensor = pool.forward(input_tensor)
self.assertAlmostEqual(np.sum(np.abs(output_tensor-input_tensor)), 0.)
def test_expected_output_valid_edgecase(self):
input_shape = (1, 3, 3)
pool = Pooling.Pooling((2, 2), (2, 2))
batch_size = 2
input_tensor = np.array(range(np.prod(input_shape) * batch_size), dtype=float)
input_tensor = input_tensor.reshape(batch_size, *input_shape)
result = pool.forward(input_tensor)
expected_result = np.array([[[[4]]], [[[13]]]])
self.assertEqual(np.sum(np.abs(result - expected_result)), 0)
def test_expected_output(self):
input_shape = (1, 4, 4)
pool = Pooling.Pooling((2, 2), (2, 2))
batch_size = 2
input_tensor = np.array(range(np.prod(input_shape) * batch_size), dtype=float)
input_tensor = input_tensor.reshape(batch_size, *input_shape)
result = pool.forward(input_tensor)
expected_result = np.array([[[[ 5., 7.],[13., 15.]]],[[[21., 23.],[29., 31.]]]])
self.assertEqual(np.sum(np.abs(result - expected_result)), 0)
class TestConstraints(unittest.TestCase):
def setUp(self):
self.delta = 0.1
self.regularizer_strength = 1337
self.shape = (4, 5)
def test_L1(self):
regularizer = Constraints.L1_Regularizer(self.regularizer_strength)
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -2
weights_tensor = regularizer.calculate_gradient(weights_tensor)
expected = np.ones(self.shape) * self.regularizer_strength
expected[1:3, 2:4] *= -1
difference = np.sum(np.abs(weights_tensor - expected))
self.assertLessEqual(difference, 1e-10, msg="The calculate_gradient method in the "
"regularizers is needed to compute the new update in the"
" optimizers. For the L1 norm, it should return the element-wise "
"sign of the weight tensor multiplied by the regularizer strength.")
def test_L1_norm(self):
regularizer = Constraints.L1_Regularizer(self.regularizer_strength)
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -2
norm = regularizer.norm(weights_tensor)
self.assertAlmostEqual(norm, 24*self.regularizer_strength,
msg="Possible error: wrong computation. "
"The norm method in the L1_Regularizer should return the sum of the absolute values"
"of the tensor multiplied by the regularizer strength."
)
def test_L2(self):
regularizer = Constraints.L2_Regularizer(self.regularizer_strength)
weights_tensor = np.ones(self.shape)
weights_tensor = regularizer.calculate_gradient(weights_tensor)
difference = np.sum(np.abs(weights_tensor - np.ones(self.shape) * self.regularizer_strength))
self.assertLessEqual(difference, 1e-10, msg="The calculate_gradient method in the "
"regularizers is needed to compute the new update in the"
" optimizers. For the L2 norm, it should return the weight tensor "
"multiplied by the regularizer strength.")
def test_L2_norm(self):
regularizer = Constraints.L2_Regularizer(self.regularizer_strength)
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] += 1
norm = regularizer.norm(weights_tensor)
self.assertAlmostEqual(norm, 32 * self.regularizer_strength,
msg="Possible error: wrong computation. "
"The norm method in the L2_Regularizer should return the L2 norm squared,"
" i.e. sum of squared elements of the tensor, "
"multiplied by the regularizer strength.")
def test_L1_with_sgd(self):
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -1
optimizer = Optimizers.Sgd(2)
regularizer = Constraints.L1_Regularizer(2)
optimizer.add_regularizer(regularizer)
result = optimizer.calculate_update(weights_tensor, np.ones(self.shape)*2)
result = optimizer.calculate_update(result, np.ones(self.shape) * 2)
np.testing.assert_almost_equal(np.sum(result), -116, 2,
err_msg=
"Make sure to have executed the following steps:\n"
"- add a method 'add_regularizer' to the optimizer\n"
"- add a member 'regularizer' to the optimizer that stores the regularizer\n"
"- have all optimizers inherit from the 'Optimizer' class\n"
"- use the 'calculate_gradient' method of the regularizers in the "
"'calculate_update' method of each optimizer. E.g. you can compute right at the"
" beginning the 'shrinked weights' and use those instead of the normal weights.")
def test_L2_with_sgd(self):
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -1
optimizer = Optimizers.Sgd(2)
regularizer = Constraints.L2_Regularizer(2)
optimizer.add_regularizer(regularizer)
result = optimizer.calculate_update(weights_tensor, np.ones(self.shape)*2)
result = optimizer.calculate_update(result, np.ones(self.shape) * 2)
np.testing.assert_almost_equal(np.sum(result), 268, 2,
err_msg=
"Make sure to have executed the following steps:\n"
"- add a method 'add_regularizer' to the optimizer\n"
"- add a member 'regularizer' to the optimizer that stores the regularizer\n"
"- have all optimizers inherit from the 'Optimizer' class\n"
"- use the 'calculate_gradient' method of the regularizers in the "
"'calculate_update' method of each optimizer. E.g. you can compute right at the"
" beginning the 'shrinked weights' and use those instead of the normal weights.")
def test_L1_with_sgd_w_momentum(self):
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -1
optimizer = Optimizers.SgdWithMomentum(2,0.9)
regularizer = Constraints.L1_Regularizer(2)
optimizer.add_regularizer(regularizer)
result = optimizer.calculate_update(weights_tensor, np.ones(self.shape)*2)
result = optimizer.calculate_update(result, np.ones(self.shape) * 2)
np.testing.assert_almost_equal(np.sum(result), -188, 1,
err_msg=
"Make sure to have executed the following steps:\n"
"- add a method 'add_regularizer' to the optimizer\n"
"- add a member 'regularizer' to the optimizer that stores the regularizer\n"
"- have all optimizers inherit from the 'Optimizer' class\n"
"- use the 'calculate_gradient' method of the regularizers in the "
"'calculate_update' method of each optimizer. E.g. you can compute right at the"
" beginning the 'shrinked weights' and use those instead of the normal weights.")
def test_L2_with_sgd_w_momentum(self):
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -1
optimizer = Optimizers.SgdWithMomentum(2,0.9)
regularizer = Constraints.L2_Regularizer(2)
optimizer.add_regularizer(regularizer)
result = optimizer.calculate_update(weights_tensor, np.ones(self.shape)*2)
result = optimizer.calculate_update(result, np.ones(self.shape) * 2)
np.testing.assert_almost_equal(np.sum(result), 196, 1,
err_msg=
"Make sure to have executed the following steps:\n"
"- add a method 'add_regularizer' to the optimizer\n"
"- add a member 'regularizer' to the optimizer that stores the regularizer\n"
"- have all optimizers inherit from the 'Optimizer' class\n"
"- use the 'calculate_gradient' method of the regularizers in the "
"'calculate_update' method of each optimizer. E.g. you can compute right at the"
" beginning the 'shrinked weights' and use those instead of the normal weights.")
def test_L1_with_adam(self):
weights_tensor = np.ones(self.shape)
weights_tensor[1:3, 2:4] *= -1
optimizer = Optimizers.Adam(2, 0.9, 0.999)
regularizer = Constraints.L1_Regularizer(2)