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"""Multi-Head Attention layer definition.""" |
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import math |
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import torch |
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from torch import nn |
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from fairseq.modules.rotary_positional_embedding import ( |
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RotaryPositionalEmbedding, |
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apply_rotary_pos_emb, |
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) |
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class ESPNETMultiHeadedAttention(nn.Module): |
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"""Multi-Head Attention layer. |
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Args: |
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n_head: The number of heads. |
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n_feat: The number of features. |
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dropout: Dropout rate. |
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""" |
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def __init__(self, n_feat, n_head, dropout): |
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"""Construct an MultiHeadedAttention object.""" |
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super(ESPNETMultiHeadedAttention, self).__init__() |
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assert n_feat % n_head == 0 |
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self.d_k = n_feat // n_head |
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self.h = n_head |
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self.linear_q = nn.Linear(n_feat, n_feat) |
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self.linear_k = nn.Linear(n_feat, n_feat) |
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self.linear_v = nn.Linear(n_feat, n_feat) |
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self.linear_out = nn.Linear(n_feat, n_feat) |
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self.attn = None |
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self.dropout = nn.Dropout(p=dropout) |
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def forward_qkv(self, query, key, value, **kwargs): |
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"""Transform query, key and value. |
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Args: |
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query: Query tensor B X T1 X C |
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key: Key tensor B X T2 X C |
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value: Value tensor B X T2 X C |
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Returns: |
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torch.Tensor: Transformed query tensor B X n_head X T1 X d_k |
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torch.Tensor: Transformed key tensor B X n_head X T2 X d_k |
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torch.Tensor: Transformed value tensor B X n_head X T2 X d_k |
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""" |
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n_batch = query.size(0) |
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q = self.linear_q(query).view(n_batch, -1, self.h, self.d_k) |
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k = self.linear_k(key).view(n_batch, -1, self.h, self.d_k) |
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v = self.linear_v(value).view(n_batch, -1, self.h, self.d_k) |
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q = q.transpose(1, 2) |
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k = k.transpose(1, 2) |
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v = v.transpose(1, 2) |
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return q, k, v |
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def forward_attention(self, value, scores, mask): |
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"""Compute attention context vector. |
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Args: |
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value: Transformed value B X n_head X T2 X d_k. |
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scores: Attention score B X n_head X T1 X T2 |
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mask: Mask T2 X B |
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Returns: |
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torch.Tensor: Transformed value B X T1 X d_model |
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weighted by the attention score B X T1 X T2 |
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""" |
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n_batch = value.size(0) |
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if mask is not None: |
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scores = scores.masked_fill( |
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mask.unsqueeze(1).unsqueeze(2).to(bool), |
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float("-inf"), |
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) |
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self.attn = torch.softmax(scores, dim=-1) |
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else: |
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self.attn = torch.softmax(scores, dim=-1) |
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p_attn = self.dropout(self.attn) |
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x = torch.matmul(p_attn, value) |
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x = ( |
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x.transpose(1, 2).contiguous().view(n_batch, -1, self.h * self.d_k) |
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) |
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return self.linear_out(x) |
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def forward(self, query, key, value, key_padding_mask=None, **kwargs): |
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"""Compute scaled dot product attention. |
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Args: |
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query (torch.Tensor): Query tensor T X B X C |
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key (torch.Tensor): Key tensor T X B X C |
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value (torch.Tensor): Value tensor T X B X C |
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mask (torch.Tensor): Mask tensor T X B |
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Returns: |
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torch.Tensor: Output tensor T X B X D. |
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""" |
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query = query.transpose(0, 1) |
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key = key.transpose(0, 1) |
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value = value.transpose(0, 1) |
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q, k, v = self.forward_qkv(query, key, value) |
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scores = torch.matmul(q, k.transpose(-2, -1)) / math.sqrt(self.d_k) |
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scores = self.forward_attention(v, scores, key_padding_mask) |
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scores = scores.transpose(0, 1) |
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return scores, None |
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class RelPositionMultiHeadedAttention(ESPNETMultiHeadedAttention): |
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"""Multi-Head Attention layer with relative position encoding. |
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Paper: https://arxiv.org/abs/1901.02860 |
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Args: |
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n_head: The number of heads. |
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n_feat: The number of features. |
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dropout: Dropout rate. |
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zero_triu: Whether to zero the upper triangular part of attention matrix. |
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""" |
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def __init__(self, n_feat, n_head, dropout, zero_triu=False): |
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"""Construct an RelPositionMultiHeadedAttention object.""" |
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super().__init__(n_feat, n_head, dropout) |
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self.zero_triu = zero_triu |
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self.linear_pos = nn.Linear(n_feat, n_feat, bias=False) |
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self.pos_bias_u = nn.Parameter(torch.zeros(self.h, self.d_k)) |
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self.pos_bias_v = nn.Parameter(torch.zeros(self.h, self.d_k)) |
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torch.nn.init.xavier_uniform_(self.pos_bias_u) |
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torch.nn.init.xavier_uniform_(self.pos_bias_v) |
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def rel_shift(self, x): |
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"""Compute relative positional encoding. |
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Args: |
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x: Input tensor B X n_head X T X 2T-1 |
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Returns: |
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torch.Tensor: Output tensor. |
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""" |
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zero_pad = torch.zeros((*x.size()[:3], 1), device=x.device, dtype=x.dtype) |
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x_padded = torch.cat([zero_pad, x], dim=-1) |
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x_padded = x_padded.view(*x.size()[:2], x.size(3) + 1, x.size(2)) |
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x = x_padded[:, :, 1:].view_as(x)[ |
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:, :, :, : x.size(-1) // 2 + 1 |
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] |
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if self.zero_triu: |
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ones = torch.ones((x.size(2), x.size(3)), device=x.device) |
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x = x * torch.tril(ones, x.size(3) - x.size(2))[None, None, :, :] |
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return x |
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def forward(self, query, key, value, pos_emb, key_padding_mask=None, **kwargs): |
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"""Compute scaled dot product attention. |
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Args: |
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query: Query tensor T X B X C |
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key: Key tensor T X B X C |
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value: Value tensor T X B X C |
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pos_emb: Positional embedding tensor B X 2T-1 X C |
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key_padding_mask: Mask tensor T X B |
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Returns: |
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torch.Tensor: Output tensor T X B X C. |
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""" |
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query = query.transpose(0, 1) |
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key = key.transpose(0, 1) |
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value = value.transpose(0, 1) |
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pos_emb = pos_emb.transpose(0, 1) |
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q, k, v = self.forward_qkv(query, key, value) |
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q = q.transpose(1, 2) |
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n_batch_pos = pos_emb.size(0) |
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p = self.linear_pos(pos_emb).view(n_batch_pos, -1, self.h, self.d_k) |
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p = p.transpose(1, 2) |
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q_with_bias_u = (q + self.pos_bias_u).transpose(1, 2) |
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q_with_bias_v = (q + self.pos_bias_v).transpose(1, 2) |
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matrix_ac = torch.matmul(q_with_bias_u, k.transpose(-2, -1)) |
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matrix_bd = torch.matmul(q_with_bias_v, p.transpose(-2, -1)) |
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matrix_bd = self.rel_shift(matrix_bd) |
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scores = (matrix_ac + matrix_bd) / math.sqrt( |
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self.d_k |
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) |
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scores = self.forward_attention(v, scores, key_padding_mask) |
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scores = scores.transpose(0, 1) |
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return scores, None |
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class RotaryPositionMultiHeadedAttention(ESPNETMultiHeadedAttention): |
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def __init__( |
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self, |
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n_feat, |
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n_head, |
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dropout, |
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precision, |
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rotary_emd_base=10000, |
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): |
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"""Construct an RotaryPositionMultiHeadedAttention object.""" |
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super().__init__(n_feat, n_head, dropout) |
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precision = torch.float |
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self.rotary_ndims = self.d_k |
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if precision == "fp16": |
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precision = torch.half |
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self.rotary_emb = RotaryPositionalEmbedding( |
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self.rotary_ndims, base=rotary_emd_base, precision=precision |
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) |
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def forward(self, query, key, value, key_padding_mask=None, **kwargs): |
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"""Compute rotary position attention. |
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Args: |
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query: Query tensor T X B X C |
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key: Key tensor T X B X C |
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value: Value tensor T X B X C |
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key_padding_mask: Mask tensor T X B |
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Returns: |
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torch.Tensor: Output tensor T X B X D. |
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Notes: |
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Assumes self attn |
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""" |
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T, B, C = value.size() |
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query = query.view(T, B, self.h, self.d_k) |
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key = key.view(T, B, self.h, self.d_k) |
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value = value.view(T, B, self.h, self.d_k) |
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cos, sin = self.rotary_emb(value, seq_len=T) |
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query, key = apply_rotary_pos_emb( |
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query, key, cos, sin, offset=0 |
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) |
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query = query.view(T, B, self.h * self.d_k) |
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key = key.view(T, B, self.h * self.d_k) |
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value = value.view(T, B, self.h * self.d_k) |
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query = query.transpose(0, 1) |
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key = key.transpose(0, 1) |
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value = value.transpose(0, 1) |
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q, k, v = self.forward_qkv(query, key, value) |
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scores = torch.matmul(q, k.transpose(-2, -1)) / math.sqrt(self.d_k) |
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scores = self.forward_attention(v, scores, key_padding_mask) |
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scores = scores.transpose(0, 1) |
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return scores, None |
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