def test_conv_layer_1_forward(self):
print('\n==================================')
print(' Test conv layer forward ')
print('==================================')
np.random.seed(123)
in_dim, out_dim = 3, 3
kernel_size, stride, pad = 3, 1, 1
x = np.random.randn(1, in_dim, 5, 5)
conv_layer = ConvolutionLayer(in_dim, out_dim, kernel_size, stride,
pad)
conv_out = conv_layer.forward(x)
correct_out = [[
[[2.70986336, -0.31118712, -10.1273488, 0.85765762, -2.7855125],
[-11.16096594, -4.62052763, 4.47234199, -5.16258793, -1.522542],
[6.68757601, 19.83864401, 2.92622659, -0.65722221, 5.45804442],
[6.78984906, -11.08224115, -0.16695308, 9.68053968, -8.52642269],
[1.91536819, 3.4493333, -0.51816154, 0.06619419, 7.45981292]],
[[-0.76448774, 3.18821361, 6.14514613, -1.29982604, 4.64356555],
[9.50245602, 2.15732864, 2.15842172, -4.25405756, 1.28322504],
[3.29674819, -14.58109241, -7.12275376, -1.82344435, -4.12373608],
[-8.71427742, -1.84563963, -2.68518672, -6.5596493, 1.49822246],
[-6.84520333, 5.98935466, 6.06150536, 3.98359216, -0.40315198]],
[[-6.44970728, -3.02240376, -5.16519129, -9.06742459, -3.94964887],
[-2.73788261, -7.35111813, -5.47853982, 3.810986, 1.34136929],
[4.22702118, 7.86218534, 1.99505028, -3.30663869, 3.86978039],
[4.01189286, -4.94100023, 6.62336117, -2.10346462, 1.96247806],
[2.98641884, -2.82837067, -5.23875198, 1.3729101, -1.3081586]]
]]
e = rel_error(correct_out, conv_out)
print('Relative difference:', e)
self.assertTrue(e <= 5e-8)
# Forward
x = np.ones((2, in_channel, 10, 10)) # test input
W = np.array([
[1, -1, 2], # weight
[-10, 1.5, 2.0],
[1.5, 2.0, -3.5]
])
b = np.arange(0, out_channel) # bias
conv_layer.W[0, 0] = W # Set same weight for all input channel
conv_layer.W[1, 0] = W
conv_layer.W[2, 0] = W
conv_layer.b = b
conv_out = conv_layer.forward(x)
correct = correct_conv_out
diff = correct - conv_out
# Difference should be zero
print('Convolution Layer Forward Check')
print('Difference : ', diff.sum())
print()
conv_dx = conv_layer.backward(conv_out)
conv_dW = conv_layer.dW
conv_db = conv_layer.db
print('Convolution Layer Backward Check')
print('dx Difference : ', (conv_dx - correct_conv_dx).sum())
print('dW Difference : ', (conv_dW - correct_conv_dW).sum())
def test_conv_layer_2_backward(self):
print('\n==================================')
print(' Test conv layer backward ')
print('==================================')
np.random.seed(123)
in_dim, out_dim = 3, 3
kernel_size, stride, pad = 3, 1, 1
x = np.random.randn(1, in_dim, 5, 5)
conv_layer = ConvolutionLayer(in_dim, out_dim, kernel_size, stride,
pad)
conv_out = conv_layer.forward(x)
d_prev = np.random.randn(*conv_out.shape)
dx = conv_layer.backward(d_prev, 0.1)
dw = conv_layer.dw
db = conv_layer.db
correct_dx = [[
[[-1.79921076, -4.01635575, -4.51317017, 3.1799483, 0.60601338],
[-3.0409217, -3.03893501, 0.263502, -1.77473826, -0.66048859],
[-2.70680836, 7.95821241, -0.05199919, 3.71902007, -1.95724218],
[4.63502915, 10.48786242, 3.23741466, -1.10458816, 3.64821246],
[1.74179073, 0.89016108, -5.95489576, -2.90265459, 3.82054991]],
[[2.12426007, -8.61633801, -1.10075962, 0.69954115, 1.41973446],
[-1.21497191, -0.76472356, -4.03381736, -1.49888202, -0.12346752],
[5.45687502, -1.69046871, 2.26612641, -4.9606816, -7.63459002],
[-2.22526131, -1.22114106, 1.1399924, -0.33830405, -2.6194636],
[0.90182683, 0.23853391, -5.56596295, -1.43509046, -1.05353328]],
[[3.18771876, -0.02184037, -2.03027136, -0.05773355, -3.82179085],
[1.34224997, -2.91348884, -1.58173337, -5.66629621, 3.45049871],
[-2.67463988, 2.86761068, 2.64368971, -3.71621604, -7.67662767],
[-2.91132903, -4.52401895, 2.17502747, -4.60068269, -2.16018264],
[1.36481716, 6.13043585, 1.7706074, 2.06804708, 0.96884191]]
]]
correct_dw = [[[[-1.04985591, 2.87904911, -6.82503529],
[1.66702503, -0.93491251, -3.60471169],
[-2.87819899, -3.46218444, 1.40624326]],
[[1.25476706, 2.76259291, -4.67645933],
[0.41342563, -4.97285148, 1.75108074],
[-0.09661992, 0.64336928, -3.79150539]],
[[-3.91150984, 1.21576097, 0.09212882],
[-0.66208335, -0.20382688, -1.03624965],
[1.14408925, -0.89092561, -0.39136559]]],
[[[-3.24175872, 7.70245334, 3.49461994],
[5.30043722, 6.73881481, 0.38190406],
[-1.35312823, -1.90830871, -5.62180321]],
[[-1.77178115, -7.2335903, 1.3902429],
[5.978873, 11.12390811, 4.27724157],
[1.56800653, -6.17417643, -8.81210226]],
[[-1.36754116, -1.76925626, -1.95415376],
[3.19023575, -10.05059218, 2.02020642],
[0.01609822, -4.61553449, 4.02922391]]],
[[[-3.85567269, -5.30516932, -7.00612174],
[1.08820947, -2.86128285, -5.19898729],
[-8.71727415, -0.10330606, 0.96197135]],
[[6.90694753, 0.67861547, 0.76847915],
[0.33708355, -3.16736077, -1.20728537],
[-3.73821152, -1.41083771, 1.33975801]],
[[0.18050385, -7.86418369, 3.46332905],
[5.33713985, -2.32996899, -1.64722694],
[1.46461391, 4.07081265, -0.7995358]]]]
correct_db = [1.5437889, -3.07137414, -7.72938847]
dx_e = rel_error(correct_dx, dx)
dw_e = rel_error(correct_dw, dw)
db_e = rel_error(correct_db, db)
print('Relative difference dx:', dx_e)
print('Relative difference dw:', dw_e)
print('Relative difference db:', db_e)
self.assertTrue(dx_e <= 5e-6)
self.assertTrue(dw_e <= 5e-6)
self.assertTrue(db_e <= 5e-6)
def test_conv_layer_3_update(self):
print('\n==================================')
print(' Test conv layer update ')
print('==================================')
np.random.seed(123)
in_dim, out_dim = 3, 3
kernel_size, stride, pad = 3, 1, 1
x = np.random.randn(1, in_dim, 5, 5)
conv_layer = ConvolutionLayer(in_dim, out_dim, kernel_size, stride,
pad)
before_w = np.array(conv_layer.w, copy=True)
before_b = np.array(conv_layer.b, copy=True)
conv_out = conv_layer.forward(x)
d_prev = np.random.randn(*conv_out.shape)
dx = conv_layer.backward(d_prev, 0.01)
conv_layer.update(learning_rate=0.05)
after_w = conv_layer.w
after_b = conv_layer.b
correct_before_w = [[[[1.03972709, -0.40336604, -0.12602959],
[-0.83751672, -1.60596276, 1.25523737],
[-0.68886898, 1.66095249, 0.80730819]],
[[-0.31475815, -1.0859024, -0.73246199],
[-1.21252313, 2.08711336, 0.16444123],
[1.15020554, -1.26735205, 0.18103513]],
[[1.17786194, -0.33501076, 1.03111446],
[-1.08456791, -1.36347154, 0.37940061],
[-0.37917643, 0.64205469, -1.97788793]]],
[[[0.71226464, 2.59830393, -0.02462598],
[0.03414213, 0.17954948, -1.86197571],
[0.42614664, -1.60540974, -0.4276796]],
[[1.24286955, -0.73521696, 0.50124899],
[1.01273905, 0.27874086, -1.37094847],
[-0.33247528, 1.95941134, -2.02504576]],
[[-0.27578601, -0.55210807, 0.12074736],
[0.74821562, 1.60869097, -0.27023239],
[0.81234133, 0.49974014, 0.4743473]]],
[[[-0.56392393, -0.99732147, -1.10004311],
[-0.75643721, 0.32168658, 0.76094939],
[0.32346885, -0.5489551, 1.80597011]],
[[1.51886562, -0.35400011, -0.82343141],
[0.13021495, 1.26729865, 0.33276498],
[0.5565487, -0.21208012, 0.4562709]],
[[1.54454445, -0.23966878, 0.14330773],
[0.25381648, 0.28372536, -1.41188888],
[-1.87686866, -1.01965507, 0.1679423]]]]
correct_before_b = [0., 0., 0.]
correct_after_w = [[[[1.09689866, -0.54913364, 0.21465505],
[-0.9246368, -1.56644397, 1.44112153],
[-0.54805894, 1.841536, 0.74062891]],
[[-0.37891291, -1.22891861, -0.5019351],
[-1.23865077, 2.34514794, 0.07762718],
[1.16021246, -1.3052236, 0.37142506]],
[[1.37873781, -0.39730636, 1.03114803],
[-1.0563443, -1.35941582, 0.4329204],
[-0.43808719, 0.68949022, -1.96722015]]],
[[[0.87755776, 2.22487363, -0.1994678],
[-0.23072609, -0.15658328, -1.8894498],
[0.49572071, -1.51721865, -0.148514]],
[[1.33705152, -0.37684592, 0.43399247],
[0.71835273, -0.27620022, -1.59097982],
[-0.41237174, 2.27693752, -1.59355336]],
[[-0.20864999, -0.46612975, 0.21899841],
[0.5920708, 2.11845969, -0.37245876],
[0.81519196, 0.7327657, 0.27502067]]],
[[[-0.37367795, -0.73655095, -0.75468722],
[-0.81425165, 0.46619831, 1.02432303],
[0.76078817, -0.54626009, 1.76599841]],
[[1.18035314, -0.38952389, -0.8655608],
[0.11394674, 1.43136953, 0.39462669],
[0.74596375, -0.1424926, 0.39133621]],
[[1.54246971, 0.15246189, -0.02921384],
[-0.01189834, 0.40150057, -1.33588103],
[-1.95854526, -1.22778415, 0.20867483]]]]
correct_after_b = [-0.07718945, 0.15356871, 0.38646942]
before_w_e = rel_error(correct_before_w, before_w)
before_b_e = rel_error(correct_before_b, before_b)
after_w_e = rel_error(correct_after_w, after_w)
after_b_e = rel_error(correct_after_b, after_b)
print('Relative difference before_w:', before_w_e)
print('Relative difference before_b:', before_b_e)
print('Relative difference after_w :', after_w_e)
print('Relative difference after_b :', after_b_e)
self.assertTrue(before_w_e <= 5e-6)
self.assertTrue(before_b_e <= 1e-11)
self.assertTrue(after_w_e <= 5e-6)
self.assertTrue(after_b_e <= 5e-6)