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CNN.py
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| 1 |
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import numpy as np
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| 2 |
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from abc import ABC, abstractmethod
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| 3 |
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| 4 |
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| 5 |
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class Layer(ABC):
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| 6 |
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def __init__(self):
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| 7 |
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self.input = None
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| 8 |
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self.output = None
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| 9 |
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| 10 |
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@abstractmethod
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def forward(self, x_train):
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pass
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| 14 |
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@abstractmethod
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| 15 |
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def backward(self, e, eta=0.01):
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pass
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| 19 |
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class Conv2D(Layer):
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| 20 |
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def __init__(self, num_filter, filter_size, rgb: bool = True, stride=(1,1), pad: str = 'valid'):
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| 21 |
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super().__init__()
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| 22 |
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self.num_filter = num_filter
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| 23 |
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self.filter_size = filter_size
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| 24 |
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self.stride = stride
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| 25 |
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self.pad = pad
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| 26 |
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self.input = None
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| 27 |
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self.padding = None
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| 28 |
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if rgb:
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| 29 |
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self.filter = np.random.randn(num_filter, 3, filter_size, filter_size)
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| 30 |
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else:
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| 31 |
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self.filter = np.random.randn(num_filter, 1, filter_size, filter_size)
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| 32 |
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self.bias = np.random.randn(num_filter)
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| 33 |
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| 34 |
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def forward(self, x_train):
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| 35 |
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self.input = x_train
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| 36 |
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num_samples, h, w, c = self.input.shape
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| 37 |
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pad_h, pad_w = (0, 0)
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| 38 |
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if self.pad == 'same':
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| 39 |
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pad_h = ((h - 1)(self.stride[0] - 1) + self.filter[0] - 1)//2
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| 40 |
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pad_w = ((w - 1)(self.stride[1] - 1) + self.filter[1] - 1)//2
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| 41 |
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self.padding = (pad_h, pad_w)
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| 42 |
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self.input = np.pad(x_train, pad_width=((0, 0,), (pad_h, pad_h), (pad_w, pad_w), (0, 0)),mode='constant')
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| 43 |
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out_h = (h - self.filter_size + 1) // self.stride + 1
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| 44 |
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out_w = (w - self.filter_size + 1) // self.stride + 1
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| 45 |
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self.output = np.zeros((num_samples, self.num_filter, out_h, out_w))
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| 46 |
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for h in range(out_h):
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| 47 |
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for w in range(out_w):
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| 48 |
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h_s = h * self.stride
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| 49 |
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h_e = h_s + self.filter_size
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| 50 |
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w_s = w * self.stride
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| 51 |
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w_e = w_s + self.filter_size
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| 52 |
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self.output[:, :, h, w] = np.sum(self.input[:, :, h_s:h_e, w_s:w_e] * self.filter + self.bias)
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| 53 |
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return self.output
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| 54 |
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| 55 |
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def backward(self, e, eta=0.01):
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| 56 |
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num_samples, channel, h, w = self.input.shape
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| 57 |
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input_error = np.zeros(self.input.shape)
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| 58 |
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filter_error = np.zeros(self.filter.shape)
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| 59 |
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# get error per stride
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| 60 |
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for i in range((h - self.filter_size) // self.stride + 1):
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| 61 |
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for j in range((w - self.filter_size) // self.stride + 1):
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| 62 |
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h_s = i * self.stride
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| 63 |
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w_s = j * self.stride
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| 64 |
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region = self.input[:, :, h_s:h_s+self.filter_size, w_s:w_s+self.filter_size]
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| 65 |
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for k in range(self.num_filter): # take loop if the image is rgb
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| 66 |
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filter_error += np.sum(region * e[:, k, i, j][:, None, None, None], axis=0)
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| 67 |
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for n in range(num_samples):
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| 68 |
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input_error[n, :, h_s:h_s + self.filter_size, w_s:w_s + self.filter_size] += np.sum(self.filter * e[n, :, i, j][:, None, None, None], axis=0)
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| 69 |
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self.filter -= eta * filter_error
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| 70 |
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if self.padding != (0, 0):
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| 71 |
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input_error = input_error[:, :, self.padding[0]: -self.padding[0], self.padding[1]:-self.padding[1]]
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| 72 |
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return input_error
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| 73 |
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| 74 |
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| 75 |
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class MaxPooling2D(Layer):
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| 76 |
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def __init__(self, pool_size=2, stride=2):
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| 77 |
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super().__init__()
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| 78 |
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self.pool_size = pool_size
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| 79 |
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self.stride = stride
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| 80 |
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self.max_indices = None
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| 81 |
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| 82 |
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def forward(self, x_train):
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| 83 |
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batch, channel, h, w = x_train.shape
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| 84 |
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self.input = x_train
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| 85 |
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out_h = (h-self.pool_size)//self.stride + 1
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| 86 |
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out_w = (h-self.pool_size)//self.stride + 1
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| 87 |
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self.output = np.zeros((batch, channel, out_h, out_w))
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| 88 |
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self.max_indices = np.zeros_like(self.output, dtype=int)
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| 89 |
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for i in range(out_h):
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| 90 |
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for j in range(out_w):
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| 91 |
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h_s = i*self.stride
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| 92 |
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h_e = h_s+self.pool_size
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| 93 |
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w_s = j*self.stride
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| 94 |
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w_e = w_s+self.pool_size
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| 95 |
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region = input[:, :, h_s:h_e, w_s:w_e]
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| 96 |
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self.output[:, :, i, j] = np.max(region, axis=(2, 3))
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| 97 |
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self.max_indices[:, :, i, j] = np.argmax(region.reshape(batch, channel, -1), axis=1)
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| 98 |
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return self.output
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| 99 |
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| 100 |
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def backward(self, e, eta=0.01):
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| 101 |
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input_error = np.zeros_like(self.input)
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| 102 |
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out_height, out_width = self.output.shape[2], self.output.shape[3]
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| 103 |
+
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| 104 |
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for i in range(out_height):
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| 105 |
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for j in range(out_width):
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| 106 |
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h_s = i * self.stride
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| 107 |
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w_s = j * self.stride
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| 108 |
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region = self.input[:, :, h_s:h_s + self.pool_size, w_s:w_s + self.pool_size]
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| 109 |
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region_reshaped = region.reshape(region.shape[0], region.shape[1], -1)
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| 110 |
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for k in range(region_reshaped.shape[0]):
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| 111 |
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for l in range(region_reshaped.shape[1]):
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| 112 |
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max_index = self.max_indices[k, l, i, j]
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| 113 |
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input_error[k, l, h_s:h_s + self.pool_size, w_s:w_s + self.pool_size].reshape(-1)[max_index] = e[k, l, i, j]
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| 114 |
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return input_error
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| 115 |
+
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| 116 |
+
class Dense(Layer):
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| 117 |
+
def __init__(self, input_size, output_size, activation=None):
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| 118 |
+
super().__init__()
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| 119 |
+
self.weights = np.random.randn(input_size, output_size) * 0.01
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| 120 |
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self.biases = np.zeros((1, output_size))
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| 121 |
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self.activation = activation
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| 122 |
+
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| 123 |
+
@staticmethod
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| 124 |
+
def sigmoid(x):
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| 125 |
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return 1/(1 + np.exp(-x))
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| 126 |
+
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| 127 |
+
@staticmethod
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| 128 |
+
def relu(x):
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| 129 |
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return np.maximum(0, x)
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| 130 |
+
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| 131 |
+
@staticmethod
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| 132 |
+
def sigmoid_dev(x):
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| 133 |
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return x*(1-x)
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| 134 |
+
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| 135 |
+
@staticmethod
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| 136 |
+
def relu_dev(x):
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| 137 |
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return np.where(x>1, 1, 0)
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| 138 |
+
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| 139 |
+
def forward(self, x_train):
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| 140 |
+
self.input = x_train
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| 141 |
+
z = np.dot(x_train, self.weights) + self.biases
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| 142 |
+
if self.activation == 'sigmoid':
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| 143 |
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self.output = self.sigmoid(z)
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| 144 |
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elif self.activation == 'relu':
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| 145 |
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self.output = self.relu(z)
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| 146 |
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return self.output
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| 147 |
+
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| 148 |
+
def backward(self, e, eta=0.01):
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| 149 |
+
activation_derivative = 0
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| 150 |
+
if self.activation == 'relu':
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| 151 |
+
activation_derivative = self.relu_dev(self.output)
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| 152 |
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else:
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| 153 |
+
activation_derivative = self.sigmoid_dev(self.output)
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| 154 |
+
input_error = np.dot(e * activation_derivative, self.weights.T)
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| 155 |
+
weights_error = np.dot(self.input.T, e * activation_derivative)
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| 156 |
+
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| 157 |
+
# Update parameters
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| 158 |
+
self.weights -= eta * weights_error
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| 159 |
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self.biases -= eta * np.sum(e * activation_derivative, axis=0, keepdims=True)
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| 160 |
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return input_error
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| 161 |
+
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| 162 |
+
class Flatten(Layer):
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| 163 |
+
def __init__(self):
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| 164 |
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super().__init__()
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| 165 |
+
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| 166 |
+
def forward(self, x_train):
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| 167 |
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self.input = x_train
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| 168 |
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flatten = x_train.reshape((x_train.shape[0], -1))
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| 169 |
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return flatten
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| 170 |
+
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| 171 |
+
def backward(self, e, eta=0.01):
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| 172 |
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return e.reshape(self.input.shape)
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| 173 |
+
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| 174 |
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| 175 |
+
class CNN:
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| 176 |
+
def __init__(self):
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| 177 |
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self.layers = []
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| 178 |
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| 179 |
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def append(self, layer):
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| 180 |
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self.layers.append(layer)
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| 181 |
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| 182 |
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def predict(self, input):
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| 183 |
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for layer in self.layers:
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| 184 |
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input = layer.forward(input)
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| 185 |
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return input
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| 186 |
+
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| 187 |
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def fit(self, x_train, y_train, batch_size=36, epochs=10):
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| 188 |
+
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| 189 |
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num = x_train.shape[0]
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| 190 |
+
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| 191 |
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for i in range(epochs):
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| 192 |
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indices = np.arange(num)
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| 193 |
+
np.random.shuffle(indices)
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| 194 |
+
x = x_train[indices]
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| 195 |
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y = y_train[indices]
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| 196 |
+
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| 197 |
+
for i in range(0, num, batch_size):
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| 198 |
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x_batch = x[i:i+batch_size]
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| 199 |
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y_batch = y[i:i+batch_size]
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| 200 |
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output = self.predict(x_batch)
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| 201 |
+
error = output - y_batch
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| 202 |
+
for layer in reversed(self.layers):
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| 203 |
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error = layer.backward(error, 0.01)
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