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import torch |
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import torch.nn as nn |
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import torch.nn.functional as F |
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class Quantizer(nn.Module): |
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def __init__(self, n_e, e_dim, beta): |
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super(Quantizer, self).__init__() |
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self.e_dim = e_dim |
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self.n_e = n_e |
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self.beta = beta |
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self.embedding = nn.Embedding(self.n_e, self.e_dim) |
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self.embedding.weight.data.uniform_(-1.0 / self.n_e, 1.0 / self.n_e) |
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def forward(self, z): |
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""" |
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Inputs the output of the encoder network z and maps it to a discrete |
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one-hot vectort that is the index of the closest embedding vector e_j |
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z (continuous) -> z_q (discrete) |
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:param z (B, seq_len, channel): |
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:return z_q: |
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""" |
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assert z.shape[-1] == self.e_dim |
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z_flattened = z.contiguous().view(-1, self.e_dim) |
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d = torch.sum(z_flattened ** 2, dim=1, keepdim=True) + \ |
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torch.sum(self.embedding.weight**2, dim=1) - 2 * \ |
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torch.matmul(z_flattened, self.embedding.weight.t()) |
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min_encoding_indices = torch.argmin(d, dim=1) |
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z_q = self.embedding(min_encoding_indices).view(z.shape) |
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loss = torch.mean((z_q - z.detach())**2) + self.beta * \ |
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torch.mean((z_q.detach() - z)**2) |
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z_q = z + (z_q - z).detach() |
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min_encodings = F.one_hot(min_encoding_indices, self.n_e).type(z.dtype) |
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e_mean = torch.mean(min_encodings, dim=0) |
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perplexity = torch.exp(-torch.sum(e_mean*torch.log(e_mean + 1e-10))) |
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return loss, z_q, min_encoding_indices, perplexity |
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def map2index(self, z): |
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""" |
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Inputs the output of the encoder network z and maps it to a discrete |
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one-hot vectort that is the index of the closest embedding vector e_j |
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z (continuous) -> z_q (discrete) |
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:param z (B, seq_len, channel): |
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:return z_q: |
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""" |
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assert z.shape[-1] == self.e_dim |
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z_flattened = z.contiguous().view(-1, self.e_dim) |
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d = torch.sum(z_flattened ** 2, dim=1, keepdim=True) + \ |
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torch.sum(self.embedding.weight**2, dim=1) - 2 * \ |
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torch.matmul(z_flattened, self.embedding.weight.t()) |
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min_encoding_indices = torch.argmin(d, dim=1) |
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return min_encoding_indices.reshape(z.shape[0], -1) |
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def get_codebook_entry(self, indices): |
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""" |
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:param indices(B, seq_len): |
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:return z_q(B, seq_len, e_dim): |
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""" |
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index_flattened = indices.view(-1) |
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z_q = self.embedding(index_flattened) |
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z_q = z_q.view(indices.shape + (self.e_dim, )).contiguous() |
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return z_q |
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class EmbeddingEMA(nn.Module): |
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def __init__(self, num_tokens, codebook_dim, decay=0.99, eps=1e-5): |
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super(EmbeddingEMA, self).__init__() |
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self.decay = decay |
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self.eps = eps |
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weight = torch.randn(num_tokens, codebook_dim) |
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self.weight = nn.Parameter(weight, requires_grad=False) |
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self.cluster_size = nn.Parameter(torch.zeros(num_tokens), requires_grad=False) |
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self.embed_avg = nn.Parameter(weight.clone(), requires_grad=False) |
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self.update = True |
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def forward(self, embed_id): |
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return F.embedding(embed_id, self.weight) |
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def cluster_size_ema_update(self, new_cluster_size): |
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self.cluster_size.data.mul_(self.decay).add_(new_cluster_size, alpha=1 - self.decay) |
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def embed_avg_ema_update(self, new_emb_avg): |
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self.embed_avg.data.mul_(self.decay).add(new_emb_avg, alpha=1 - self.decay) |
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def weight_update(self, num_tokens): |
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n = self.cluster_size.sum() |
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smoothed_cluster_size = ( |
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(self.cluster_size + self.eps) / (n + num_tokens*self.eps) * n |
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) |
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embed_normalized = self.embed_avg / smoothed_cluster_size.unsqueeze(1) |
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self.weight.data.copy_(embed_normalized) |
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class EMAVectorQuantizer(nn.Module): |
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def __init__(self, n_embed, embedding_dim, beta, decay=0.99, eps=1e-5): |
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super(EMAVectorQuantizer, self).__init__() |
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self.codebook_dim = embedding_dim |
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self.num_tokens = n_embed |
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self.beta = beta |
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self.embedding = EmbeddingEMA(self.num_tokens, self.codebook_dim, decay, eps) |
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def forward(self, z): |
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z_flattened = z.view(-1, self.codebook_dim) |
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d = torch.sum(z_flattened ** 2, dim=1, keepdim=True) + \ |
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torch.sum(self.embedding.weight ** 2, dim=1) - 2 * \ |
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torch.matmul(z_flattened, self.embedding.weight.t()) |
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min_encoding_indices = torch.argmin(d, dim=1) |
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z_q = self.embedding(min_encoding_indices).view(z.shape) |
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min_encodings = F.one_hot(min_encoding_indices, self.num_tokens).type(z.dtype) |
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e_mean = torch.mean(min_encodings, dim=0) |
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perplexity = torch.exp(-torch.sum(e_mean * torch.log(e_mean + 1e-10))) |
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if self.training and self.embedding.update: |
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encoding_sum = min_encodings.sum(0) |
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embed_sum = min_encodings.transpose(0, 1)@z_flattened |
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self.embedding.cluster_size_ema_update(encoding_sum) |
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self.embedding.embed_avg_ema_update(embed_sum) |
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self.embedding.weight_update(self.num_tokens) |
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loss = self.beta * F.mse_loss(z_q.detach(), z) |
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z_q = z + (z_q - z).detach() |
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return loss, z_q, min_encoding_indices, perplexity |
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