| import math
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| from typing import Optional
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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 MultiHeadAttention(nn.Module):
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| def __init__(
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| self,
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| channels: int,
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| out_channels: int,
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| n_heads: int,
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| p_dropout: float = 0.0,
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| window_size: Optional[int] = None,
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| heads_share: bool = True,
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| block_length: Optional[int] = None,
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| proximal_bias: bool = False,
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| proximal_init: bool = False,
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| ):
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| super(MultiHeadAttention, self).__init__()
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| assert channels % n_heads == 0
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|
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| self.channels = channels
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| self.out_channels = out_channels
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| self.n_heads = n_heads
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| self.p_dropout = p_dropout
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| self.window_size = window_size
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| self.heads_share = heads_share
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| self.block_length = block_length
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| self.proximal_bias = proximal_bias
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| self.proximal_init = proximal_init
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| self.attn = None
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|
|
| self.k_channels = channels // n_heads
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| self.conv_q = nn.Conv1d(channels, channels, 1)
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| self.conv_k = nn.Conv1d(channels, channels, 1)
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| self.conv_v = nn.Conv1d(channels, channels, 1)
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| self.conv_o = nn.Conv1d(channels, out_channels, 1)
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| self.drop = nn.Dropout(p_dropout)
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|
|
| if window_size is not None:
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| n_heads_rel = 1 if heads_share else n_heads
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| rel_stddev = self.k_channels**-0.5
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| self.emb_rel_k = nn.Parameter(
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| torch.randn(n_heads_rel, window_size * 2 + 1, self.k_channels)
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| * rel_stddev
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| )
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| self.emb_rel_v = nn.Parameter(
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| torch.randn(n_heads_rel, window_size * 2 + 1, self.k_channels)
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| * rel_stddev
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| )
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|
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| nn.init.xavier_uniform_(self.conv_q.weight)
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| nn.init.xavier_uniform_(self.conv_k.weight)
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| nn.init.xavier_uniform_(self.conv_v.weight)
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| if proximal_init:
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| with torch.no_grad():
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| self.conv_k.weight.copy_(self.conv_q.weight)
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| self.conv_k.bias.copy_(self.conv_q.bias)
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|
|
| def __call__(
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| self,
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| x: torch.Tensor,
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| c: torch.Tensor,
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| attn_mask: Optional[torch.Tensor] = None,
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| ) -> torch.Tensor:
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| return super().__call__(x, c, attn_mask=attn_mask)
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|
|
| def forward(
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| self,
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| x: torch.Tensor,
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| c: torch.Tensor,
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| attn_mask: Optional[torch.Tensor] = None,
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| ) -> torch.Tensor:
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| q = self.conv_q(x)
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| k = self.conv_k(c)
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| v = self.conv_v(c)
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|
|
| x, _ = self._attention(q, k, v, mask=attn_mask)
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|
|
| x = self.conv_o(x)
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| return x
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|
|
| def _attention(
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| self,
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| query: torch.Tensor,
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| key: torch.Tensor,
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| value: torch.Tensor,
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| mask: Optional[torch.Tensor] = None,
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| ):
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|
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| b, d, t_s = key.size()
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| t_t = query.size(2)
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| query = query.view(b, self.n_heads, self.k_channels, t_t).transpose(2, 3)
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| key = key.view(b, self.n_heads, self.k_channels, t_s).transpose(2, 3)
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| value = value.view(b, self.n_heads, self.k_channels, t_s).transpose(2, 3)
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|
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| scores = torch.matmul(query / math.sqrt(self.k_channels), key.transpose(-2, -1))
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| if self.window_size is not None:
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| assert (
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| t_s == t_t
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| ), "Relative attention is only available for self-attention."
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| key_relative_embeddings = self._get_relative_embeddings(self.emb_rel_k, t_s)
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| rel_logits = self._matmul_with_relative_keys(
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| query / math.sqrt(self.k_channels), key_relative_embeddings
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| )
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| scores_local = self._relative_position_to_absolute_position(rel_logits)
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| scores = scores + scores_local
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| if self.proximal_bias:
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| assert t_s == t_t, "Proximal bias is only available for self-attention."
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| scores = scores + self._attention_bias_proximal(t_s).to(
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| device=scores.device, dtype=scores.dtype
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| )
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| if mask is not None:
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| scores = scores.masked_fill(mask == 0, -1e4)
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| if self.block_length is not None:
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| assert (
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| t_s == t_t
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| ), "Local attention is only available for self-attention."
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| block_mask = (
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| torch.ones_like(scores)
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| .triu(-self.block_length)
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| .tril(self.block_length)
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| )
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| scores = scores.masked_fill(block_mask == 0, -1e4)
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| p_attn = F.softmax(scores, dim=-1)
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| p_attn = self.drop(p_attn)
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| output = torch.matmul(p_attn, value)
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| if self.window_size is not None:
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| relative_weights = self._absolute_position_to_relative_position(p_attn)
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| value_relative_embeddings = self._get_relative_embeddings(
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| self.emb_rel_v, t_s
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| )
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| output = output + self._matmul_with_relative_values(
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| relative_weights, value_relative_embeddings
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| )
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| output = (
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| output.transpose(2, 3).contiguous().view(b, d, t_t)
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| )
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| return output, p_attn
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|
|
| def _matmul_with_relative_values(self, x, y):
|
| """
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| x: [b, h, l, m]
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| y: [h or 1, m, d]
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| ret: [b, h, l, d]
|
| """
|
| ret = torch.matmul(x, y.unsqueeze(0))
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| return ret
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|
|
| def _matmul_with_relative_keys(self, x, y):
|
| """
|
| x: [b, h, l, d]
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| y: [h or 1, m, d]
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| ret: [b, h, l, m]
|
| """
|
| ret = torch.matmul(x, y.unsqueeze(0).transpose(-2, -1))
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| return ret
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|
|
| def _get_relative_embeddings(self, relative_embeddings, length: int):
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|
|
|
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| pad_length: int = max(length - (self.window_size + 1), 0)
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| slice_start_position = max((self.window_size + 1) - length, 0)
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| slice_end_position = slice_start_position + 2 * length - 1
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| if pad_length > 0:
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| padded_relative_embeddings = F.pad(
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| relative_embeddings,
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| [0, 0, pad_length, pad_length, 0, 0],
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| )
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| else:
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| padded_relative_embeddings = relative_embeddings
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| used_relative_embeddings = padded_relative_embeddings[
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| :, slice_start_position:slice_end_position
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| ]
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| return used_relative_embeddings
|
|
|
| def _relative_position_to_absolute_position(self, x):
|
| """
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| x: [b, h, l, 2*l-1]
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| ret: [b, h, l, l]
|
| """
|
| batch, heads, length, _ = x.size()
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|
|
| x = F.pad(
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| x,
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| [0, 1, 0, 0, 0, 0, 0, 0],
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| )
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|
|
|
|
| x_flat = x.view([batch, heads, length * 2 * length])
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| x_flat = F.pad(x_flat, [0, length - 1, 0, 0, 0, 0])
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|
|
|
|
| x_final = x_flat.view([batch, heads, length + 1, 2 * length - 1])[
|
| :, :, :length, length - 1 :
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| ]
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| return x_final
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|
|
| def _absolute_position_to_relative_position(self, x):
|
| """
|
| x: [b, h, l, l]
|
| ret: [b, h, l, 2*l-1]
|
| """
|
| batch, heads, length, _ = x.size()
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|
|
| x = F.pad(x, [0, length - 1, 0, 0, 0, 0, 0, 0])
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| x_flat = x.view([batch, heads, (length**2) + (length * (length - 1))])
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|
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| x_flat = F.pad(x_flat, [length, 0, 0, 0, 0, 0])
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| x_final = x_flat.view([batch, heads, length, 2 * length])[:, :, :, 1:]
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| return x_final
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|
|
| def _attention_bias_proximal(self, length: int):
|
| """Bias for self-attention to encourage attention to close positions.
|
| Args:
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| length: an integer scalar.
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| Returns:
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| a Tensor with shape [1, 1, length, length]
|
| """
|
| r = torch.arange(length, dtype=torch.float32)
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| diff = torch.unsqueeze(r, 0) - torch.unsqueeze(r, 1)
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| return torch.unsqueeze(torch.unsqueeze(-torch.log1p(torch.abs(diff)), 0), 0)
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|
|
|
|
| class FFN(nn.Module):
|
| """
|
| Feed-Forward Network
|
| """
|
|
|
| def __init__(
|
| self,
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| in_channels: int,
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| out_channels: int,
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| filter_channels: int,
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| kernel_size: int,
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| p_dropout: float = 0.0,
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| activation: Optional[str] = None,
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| causal: bool = False,
|
| ):
|
| super(FFN, self).__init__()
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| self.in_channels = in_channels
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| self.out_channels = out_channels
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| self.filter_channels = filter_channels
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| self.kernel_size = kernel_size
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| self.p_dropout = p_dropout
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| self.activation = activation
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| self.causal = causal
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| self.is_activation = True if activation == "gelu" else False
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|
|
| self.conv_1 = nn.Conv1d(in_channels, filter_channels, kernel_size)
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| self.conv_2 = nn.Conv1d(filter_channels, out_channels, kernel_size)
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| self.drop = nn.Dropout(p_dropout)
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|
|
| def __call__(self, x: torch.Tensor, x_mask: torch.Tensor) -> torch.Tensor:
|
| return super().__call__(x, x_mask)
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|
|
| def forward(self, x: torch.Tensor, x_mask: torch.Tensor) -> torch.Tensor:
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| x = self.conv_1(self._padding(x, x_mask))
|
| if self.is_activation:
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| x = x * torch.sigmoid(1.702 * x)
|
| else:
|
| x = torch.relu(x)
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| x = self.drop(x)
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|
|
| x = self.conv_2(self._padding(x, x_mask))
|
| return x * x_mask
|
|
|
| def _padding(self, x: torch.Tensor, x_mask: torch.Tensor) -> torch.Tensor:
|
| if self.causal:
|
| return self._causal_padding(x * x_mask)
|
| return self._same_padding(x * x_mask)
|
|
|
| def _causal_padding(self, x):
|
| if self.kernel_size == 1:
|
| return x
|
| pad_l: int = self.kernel_size - 1
|
| pad_r: int = 0
|
|
|
| x = F.pad(x, [pad_l, pad_r, 0, 0, 0, 0])
|
| return x
|
|
|
| def _same_padding(self, x):
|
| if self.kernel_size == 1:
|
| return x
|
| pad_l: int = (self.kernel_size - 1) // 2
|
| pad_r: int = self.kernel_size // 2
|
|
|
| x = F.pad(x, [pad_l, pad_r, 0, 0, 0, 0])
|
| return x
|
|
|