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import torch |
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from torch import nn |
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from torch.nn import functional as F |
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class Encoding(nn.Module): |
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"""Encoding Layer: a learnable residual encoder. |
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Input is of shape (batch_size, channels, height, width). |
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Output is of shape (batch_size, num_codes, channels). |
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Args: |
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channels: dimension of the features or feature channels |
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num_codes: number of code words |
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""" |
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def __init__(self, channels, num_codes): |
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super(Encoding, self).__init__() |
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self.channels, self.num_codes = channels, num_codes |
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std = 1. / ((num_codes * channels)**0.5) |
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self.codewords = nn.Parameter( |
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torch.empty(num_codes, channels, |
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dtype=torch.float).uniform_(-std, std), |
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requires_grad=True) |
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self.scale = nn.Parameter( |
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torch.empty(num_codes, dtype=torch.float).uniform_(-1, 0), |
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requires_grad=True) |
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@staticmethod |
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def scaled_l2(x, codewords, scale): |
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num_codes, channels = codewords.size() |
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batch_size = x.size(0) |
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reshaped_scale = scale.view((1, 1, num_codes)) |
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expanded_x = x.unsqueeze(2).expand( |
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(batch_size, x.size(1), num_codes, channels)) |
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reshaped_codewords = codewords.view((1, 1, num_codes, channels)) |
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scaled_l2_norm = reshaped_scale * ( |
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expanded_x - reshaped_codewords).pow(2).sum(dim=3) |
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return scaled_l2_norm |
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@staticmethod |
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def aggregate(assignment_weights, x, codewords): |
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num_codes, channels = codewords.size() |
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reshaped_codewords = codewords.view((1, 1, num_codes, channels)) |
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batch_size = x.size(0) |
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expanded_x = x.unsqueeze(2).expand( |
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(batch_size, x.size(1), num_codes, channels)) |
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encoded_feat = (assignment_weights.unsqueeze(3) * |
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(expanded_x - reshaped_codewords)).sum(dim=1) |
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return encoded_feat |
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def forward(self, x): |
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assert x.dim() == 4 and x.size(1) == self.channels |
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batch_size = x.size(0) |
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x = x.view(batch_size, self.channels, -1).transpose(1, 2).contiguous() |
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assignment_weights = F.softmax( |
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self.scaled_l2(x, self.codewords, self.scale), dim=2) |
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encoded_feat = self.aggregate(assignment_weights, x, self.codewords) |
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return encoded_feat |
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def __repr__(self): |
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repr_str = self.__class__.__name__ |
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repr_str += f'(Nx{self.channels}xHxW =>Nx{self.num_codes}' \ |
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f'x{self.channels})' |
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return repr_str |
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