| import numpy as np
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| from typing import Union
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| import time
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| import csv
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|
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| def relu(x:np.ndarray)->np.ndarray:
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| '''
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| Relu activation function. Returns max(0,value)
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| args:
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| x: input array of any shape
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| output: All negatives clipped to 0
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| '''
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| return x * (x > 0)
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|
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|
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| def add_padding(X:np.ndarray, pad_size:Union[int,list,tuple], pad_val:int=0)->np.ndarray:
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| '''
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| Pad the input image array equally from all sides
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| args:
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| x: Input Image should be in the form of [Batch, Width, Height, Channels]
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| pad_size: How much padding should be done. If int, equal padding will done. Else specify how much to pad each side (height_pad,width_pad) OR (y_pad, x_pad)
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| pad_val: What should be the value to be padded. Usually it os 0 padding
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| return:
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| Padded Numpy array Image
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| '''
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| assert (len(X.shape) == 4), "Input image should be form of [Batch, Width, Height, Channels]"
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| if isinstance(pad_size,int):
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| y_pad = x_pad = pad_size
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| else:
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| y_pad = pad_size[0]
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| x_pad = pad_size[1]
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|
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| pad_width = ((0,0), (y_pad,y_pad), (x_pad,x_pad), (0,0))
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| return np.pad(X, pad_width = pad_width, mode = 'constant', constant_values = (pad_val,pad_val))
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|
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|
| class Conv2DLayer:
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| '''
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| 2D Convolution Layer
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| '''
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| def __init__(self,input_channels:int, num_filters:int, kernel_size:int, stride:int, padding:Union[str,None], activation:Union[None,str]='relu'):
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| '''
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| Kernal Matrix for the Current Layer having shape [filter_size, filter_size, num_of_features_old, num_of_filters_new]. 'num_of_features_old' are the Channels or features from previous layer
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| 'filter_size' (or kernel size) is the size of filters which will detect new features.
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| 'num_of_filters_new' are the No of new features detected by these kernels on the previous features where Each Kernel/filter will detect a new feature/channel
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|
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| args:
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| input_channels: No of features/channels present in the incoming input. It'll be equal to Last dimension value from the prev layer output `previous_layer.output.shape[-1]`
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| num_filters: Output Channels or How many new features you want this new Layer to Detect. Each Filter/kernel will detect a new Feature /channel
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| kernel_size: What is the size of Kernels or Filters. Each Filter a 2D Square Matrix of size kernel_size
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| stride: How many pixels you want each kernel to shift. Same shift in X and Y direction OR indirectly, it'll define how many iterations the kernel will take to convolve over the whole image
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| padding: How much padding you want to add to the image. If padding='same', it means padding in a way that input and output have the same dimension
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| activation: Which activation to use
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| '''
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| self.kernel_matrices = np.random.randn(kernel_size, kernel_size, input_channels, num_filters)
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| self.biases = np.random.randn(1, 1, 1, num_filters)
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| self.stride = stride
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| self.padding = padding
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| self.activation = activation
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|
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| def convolution_step(self,image_portion:np.ndarray,kernel_matrix:np.ndarray,bias:np.ndarray)->np.ndarray:
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| '''
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| Convolve the Filter onto a given portion of the Image. This operation will be done multiple times per image, per kernel. Number of times is dependent on Window size, Stride and Image Size.
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| In simple words, Multiply the given filter weight matrix and the area covered by filter and this is repeated for whole image.
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| Imagine a slice of matrix [FxF] from a [PxQ] shaped image. Now imagine [Fxf] filter on top of it. Do matrix multiplication, summation and add bias
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| args:
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| image_portion: Image Matrix or in other sense, Features. Shape is [filter_size, filter_size, no of channels / Features from previous layer]
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| filter: Filter / Kernel weight Matrix which convolves on top of image slice. Size is [filter_size, filter_size, no of channels / Features from previous layer]
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| bias: Bias matrix of shape [1,1,1]
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| returns:
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| Convolved window output with single floating value inside a [1,1,1] matrix
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| '''
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| assert image_portion.shape == kernel_matrix.shape , "Image Portion and Filter must be of same shape"
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| return np.sum(np.multiply(image_portion,kernel_matrix)) + bias.astype('float')
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|
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| def forward(self,features_batch:np.ndarray)->np.ndarray:
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| '''
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| Forward Pass or the Full Convolution
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| Convolve over the batch of Image using the filters. Each new Filter produces a new Feature/channel from the previous Image.
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| So if image had 32 features/channels and you have used 64 as num of filters in this layer, your image will have 64 features/channels
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| args:
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| features_batch: Batch of Images (Batch of Features) of shape [batch size, height, width, channels].
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| This is input coming from the previous Layer. If this matrix is output from a previous Convolution Layer, then the channels == (no of features from the previous layer)
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|
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| output: Convolved Image batch with new height, width and new detected features
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| '''
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| padding_size = 0
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| if isinstance(self.padding, int):
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| padding_size = self.padding
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|
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| batch_size, h_old, w_old, num_features_old = features_batch.shape
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| filter_size, filter_size, num_features_old, num_of_filters_new = self.kernel_matrices.shape
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|
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| h_new = int((h_old + (2 * padding_size) - filter_size) / self.stride) + 1
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| w_new = int((w_old + (2 * padding_size) - filter_size) / self.stride) + 1
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|
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| padded_batch = add_padding(features_batch, padding_size)
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| output = np.zeros([batch_size, h_new, w_new, num_of_filters_new])
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|
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| for index in range(batch_size):
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| padded_feature = padded_batch[index,:,:,:]
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| for h in range(h_new):
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| for w in range(w_new):
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| for filter_index in range(num_of_filters_new):
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|
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| vertical_start = h * self.stride
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| vertical_end = vertical_start + filter_size
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|
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| horizontal_start = w * self.stride
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| horizontal_end = horizontal_start + filter_size
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|
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| image_portion = padded_feature[vertical_start:vertical_end, horizontal_start:horizontal_end,:]
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| kernel_matrix = self.kernel_matrices[:, :, :, filter_index]
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| bias = self.biases[:,:,:,filter_index]
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|
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| result = self.convolution_step(image_portion, kernel_matrix, bias)
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| output[index,h,w,filter_index] = result
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| if self.activation == 'relu':
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| return relu(output)
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| return output
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|
|
| if __name__== "__main__":
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|
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| batch_features = np.random.randn(32, 64, 64, 3)
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|
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| start_time = time.time()
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| cnn = Conv2DLayer(3,8,3,2,2,'relu')
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| pre_output = cnn.forward(batch_features)
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| end_time = time.time()
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| interval_time = end_time - start_time
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| print(f"Time taken for execution: {interval_time} s")
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|
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| with open("submission.csv", "a+", newline='') as file:
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| writer = csv.writer(file, delimiter=';')
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| writer.writerow([interval_time])
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