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	Einsum multi-head attention (#345)
* Einsum multi-head attention * update diff
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- [mha-implementations.ipynb](mha-implementations.ipynb) contains and compares different implementations of multi-head attention
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					- [mha-implementations.ipynb](mha-implementations.ipynb) contains and compares different implementations of multi-head attention
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<a href="mha-implementations.ipynb"><img src="https://sebastianraschka.com/images/LLMs-from-scratch-images/bonus/mha-benchmark/mha-comparison.webp" width="500px"></a>
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					### Summary
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					The figures below summarize the performance benchmarks (lower is better).
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					#### Forward pass only
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					<a href="mha-implementations.ipynb"><img src="https://sebastianraschka.com/images/LLMs-from-scratch-images/bonus/mha-benchmark/1_forward-only.webp?1" width="500px"></a>
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					#### Forward and backward pass
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					<a href="mha-implementations.ipynb"><img src="https://sebastianraschka.com/images/LLMs-from-scratch-images/bonus/mha-benchmark/2_forward-and-backward.webp?1" width="500px"></a>
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					#### Forward and backward pass after compilation
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					<a href="mha-implementations.ipynb"><img src="https://sebastianraschka.com/images/LLMs-from-scratch-images/bonus/mha-benchmark/3_forward-and-backward-compiled.webp?1" width="500px"></a>
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@ -1,108 +0,0 @@
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# Copyright (c) Sebastian Raschka under Apache License 2.0 (see LICENSE.txt).
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# Source for "Build a Large Language Model From Scratch"
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#   - https://www.manning.com/books/build-a-large-language-model-from-scratch
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# Code: https://github.com/rasbt/LLMs-from-scratch
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#
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# This file contains the relevant code from chapter 3 that is going to be used
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# in forthcoming chapters.
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import torch
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import torch.nn as nn
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class CausalAttention(nn.Module):
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    def __init__(self, d_in, d_out, context_length, dropout, qkv_bias=False):
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        super().__init__()
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        self.d_out = d_out
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        self.W_query = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.W_key = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.W_value = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.dropout = nn.Dropout(dropout)  # New
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        self.register_buffer('mask', torch.triu(torch.ones(context_length, context_length), diagonal=1))  # New
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    def forward(self, x):
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        b, num_tokens, d_in = x.shape  # New batch dimension b
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        keys = self.W_key(x)
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        queries = self.W_query(x)
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        values = self.W_value(x)
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        attn_scores = queries @ keys.transpose(1, 2)  # Changed transpose
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        attn_scores.masked_fill_(  # New, _ ops are in-place
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            self.mask.bool()[:num_tokens, :num_tokens], -torch.inf)
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        attn_weights = torch.softmax(attn_scores / keys.shape[-1]**0.5, dim=-1)
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        attn_weights = self.dropout(attn_weights)  # New
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        context_vec = attn_weights @ values
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        return context_vec
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class MultiHeadAttentionWrapper(nn.Module):
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    def __init__(self, d_in, d_out, context_length, dropout, num_heads, qkv_bias=False):
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        super().__init__()
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        self.heads = nn.ModuleList(
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            [CausalAttention(d_in, d_out, context_length, dropout, qkv_bias)
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             for _ in range(num_heads)]
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        )
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        self.out_proj = nn.Linear(d_out*num_heads, d_out*num_heads)
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    def forward(self, x):
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        context_vec = torch.cat([head(x) for head in self.heads], dim=-1)
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        return self.out_proj(context_vec)
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class MultiHeadAttention(nn.Module):
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    def __init__(self, d_in, d_out, context_length, dropout, num_heads, qkv_bias=False):
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        super().__init__()
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        assert d_out % num_heads == 0, "d_out must be divisible by num_heads"
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        self.d_out = d_out
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        self.num_heads = num_heads
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        self.head_dim = d_out // num_heads  # Reduce the projection dim to match desired output dim
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        self.W_query = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.W_key = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.W_value = nn.Linear(d_in, d_out, bias=qkv_bias)
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        self.out_proj = nn.Linear(d_out, d_out)  # Linear layer to combine head outputs
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        self.dropout = nn.Dropout(dropout)
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        self.register_buffer('mask', torch.triu(torch.ones(context_length, context_length), diagonal=1))
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    def forward(self, x):
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        b, num_tokens, d_in = x.shape
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        keys = self.W_key(x)  # Shape: (b, num_tokens, d_out)
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        queries = self.W_query(x)
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        values = self.W_value(x)
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        # We implicitly split the matrix by adding a `num_heads` dimension
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        # Unroll last dim: (b, num_tokens, d_out) -> (b, num_tokens, num_heads, head_dim)
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        keys = keys.view(b, num_tokens, self.num_heads, self.head_dim)
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        values = values.view(b, num_tokens, self.num_heads, self.head_dim)
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        queries = queries.view(b, num_tokens, self.num_heads, self.head_dim)
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        # Transpose: (b, num_tokens, num_heads, head_dim) -> (b, num_heads, num_tokens, head_dim)
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        keys = keys.transpose(1, 2)
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        queries = queries.transpose(1, 2)
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        values = values.transpose(1, 2)
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        # Compute scaled dot-product attention (aka self-attention) with a causal mask
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        attn_scores = queries @ keys.transpose(2, 3)  # Dot product for each head
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        # Original mask truncated to the number of tokens and converted to boolean
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        mask_bool = self.mask.bool()[:num_tokens, :num_tokens]
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        # Use the mask to fill attention scores
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        attn_scores.masked_fill_(mask_bool, -torch.inf)
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        attn_weights = torch.softmax(attn_scores / keys.shape[-1]**0.5, dim=-1)
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        attn_weights = self.dropout(attn_weights)
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        # Shape: (b, num_tokens, num_heads, head_dim)
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        context_vec = (attn_weights @ values).transpose(1, 2)
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        # Combine heads, where self.d_out = self.num_heads * self.head_dim
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        context_vec = context_vec.contiguous().view(b, num_tokens, self.d_out)
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        context_vec = self.out_proj(context_vec)  # optional projection
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        return context_vec
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