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