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|
""" |
|
|
Chess Transformer Model for the Chess Challenge. |
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|
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|
This module provides a simple GPT-style transformer architecture |
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|
designed to fit within the 1M parameter constraint. |
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|
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Key components: |
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- ChessConfig: Configuration class for model hyperparameters |
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- ChessForCausalLM: The main model class for next-move prediction |
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""" |
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|
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|
from __future__ import annotations |
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|
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|
from pprint import pformat |
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from typing import Optional, Tuple, Union |
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|
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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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from transformers.configuration_utils import PretrainedConfig |
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from transformers.modeling_outputs import CausalLMOutputWithPast |
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from transformers.modeling_utils import PreTrainedModel |
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class ChessConfig(PretrainedConfig): |
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""" |
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Configuration class for the Chess Transformer model. |
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|
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This configuration is designed for a ~1M parameter model. |
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Students can adjust these values to explore different architectures. |
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|
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Parameter budget breakdown (with default values): |
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- Embeddings (vocab): 1200 x 128 = 153,600 |
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- Position Embeddings: 256 x 128 = 32,768 |
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- Transformer Layers: 6 x ~120,000 = ~720,000 |
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- LM Head (with weight tying): 0 (shared with embeddings) |
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- Total: ~906,000 parameters |
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|
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Attributes: |
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vocab_size: Size of the vocabulary (number of unique moves). |
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n_embd: Embedding dimension (d_model). |
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n_layer: Number of transformer layers. |
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n_head: Number of attention heads. |
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n_ctx: Maximum sequence length (context window). |
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n_inner: Feed-forward inner dimension (default: 3 * n_embd). |
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dropout: Dropout probability. |
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layer_norm_epsilon: Epsilon for layer normalization. |
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tie_weights: Whether to tie embedding and output weights. |
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""" |
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|
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model_type = "chess_transformer" |
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|
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def __init__( |
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self, |
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vocab_size: int = 1200, |
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n_embd: int = 256, |
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n_layer: int = 10, |
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n_head_kv: int = 8, |
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n_head_q_per_kv: int = 2, |
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dim_head_qk: int = 32, |
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dim_head_v: Optional[int] = None, |
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n_ctx: int = 1024, |
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n_inner: Optional[int] = None, |
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dropout: float = 0.1, |
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layer_norm_epsilon: float = 1e-5, |
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tie_weights: bool = True, |
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rope_theta: float = 1e4, |
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pad_token_id: int = 0, |
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bos_token_id: int = 1, |
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eos_token_id: int = 2, |
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**kwargs, |
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): |
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super().__init__( |
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pad_token_id=pad_token_id, |
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bos_token_id=bos_token_id, |
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eos_token_id=eos_token_id, |
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**kwargs, |
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) |
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self.dim_head_qk = dim_head_qk |
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self.dim_head_v = dim_head_v or dim_head_qk |
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self.n_head_kv = n_head_kv |
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self.n_head_q_per_kv = n_head_q_per_kv |
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self.vocab_size = vocab_size |
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self.n_embd = n_embd |
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self.n_layer = n_layer |
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self.n_head_kv = n_head_kv |
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self.n_ctx = n_ctx |
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self.n_inner = n_inner if n_inner is not None else 3 * n_embd |
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self.dropout = dropout |
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self.layer_norm_epsilon = layer_norm_epsilon |
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self.tie_weights = tie_weights |
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self.rope_theta = rope_theta |
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self.tie_word_embeddings = bool(tie_weights) |
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|
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@property |
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def dim_q(self): |
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return self.n_head_q * self.dim_head_qk |
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|
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@property |
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def dim_k(self): |
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return self.n_head_kv * self.dim_head_qk |
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|
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@property |
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|
def dim_v(self): |
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|
return self.n_head_kv * self.dim_head_v |
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|
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@property |
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|
def n_head_q(self): |
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return self.n_head_q_per_kv * self.n_head_kv |
|
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|
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def __repr__(self): |
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cls = self.__class__.__name__ |
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|
fields = self.to_dict() |
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return f"{cls}(\n{pformat(fields, indent=2)}\n)" |
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__str__ = __repr__ |
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def apply_rotary_emb(x: torch.Tensor, freqs_cis: torch.Tensor) -> torch.Tensor: |
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|
"""Applies rotary embeddings to input tensor x.""" |
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x_complex = torch.view_as_complex(x.float().reshape(*x.shape[:-1], -1, 2)) |
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freqs_cis = freqs_cis.view(1, x.size(1), 1, -1) |
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x_rotated = torch.view_as_real(x_complex * freqs_cis).flatten(3) |
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return x_rotated.type_as(x) |
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class MultiHeadAttention(nn.Module): |
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""" |
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|
Multi-head self-attention module. |
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|
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|
This is a standard scaled dot-product attention implementation |
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|
with causal masking for autoregressive generation. |
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""" |
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bias: torch.Tensor |
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|
|
|
def __init__(self, config: ChessConfig): |
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super().__init__() |
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|
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self._config = config |
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self.proj_q = nn.Linear(config.n_embd, self.dim_q) |
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self.proj_k = nn.Linear(config.n_embd, self.dim_k) |
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|
self.proj_v = nn.Linear(config.n_embd, self.dim_v) |
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|
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self.proj_o = nn.Linear(self._n_head_q * self._dim_head_v, config.n_embd) |
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|
self.register_buffer( |
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"bias", |
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torch.ones(config.n_ctx, config.n_ctx, dtype=torch.bool) |
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|
.tril(diagonal=0) |
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|
.unsqueeze(0) |
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|
.unsqueeze(0), |
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persistent=False, |
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) |
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|
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|
@property |
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|
def dim_q(self): |
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|
return self._config.dim_q |
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|
|
|
@property |
|
|
def dim_k(self): |
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|
return self._config.dim_k |
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|
|
|
@property |
|
|
def dim_v(self): |
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|
return self._config.dim_v |
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|
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|
@property |
|
|
def enable_gqa(self): |
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|
return self._n_head_q_per_kv > 1 |
|
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|
|
|
@property |
|
|
def dropout_p(self): |
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|
return self._config.dropout * self.training |
|
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|
|
|
@property |
|
|
def _n_head_kv(self): |
|
|
return self._config.n_head_kv |
|
|
|
|
|
@property |
|
|
def _n_head_q(self): |
|
|
return self._config.n_head_q |
|
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|
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|
@property |
|
|
def _dim_head_qk(self): |
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|
return self._config.dim_head_qk |
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|
|
|
@property |
|
|
def _dim_head_v(self): |
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|
return self._config.dim_head_v |
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|
|
|
@property |
|
|
def _n_head_q_per_kv(self): |
|
|
return self._config.n_head_q_per_kv |
|
|
|
|
|
def forward( |
|
|
self, |
|
|
x: torch.Tensor, |
|
|
freqs_cis: torch.Tensor, |
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|
attention_mask: Optional[torch.Tensor] = None, |
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|
) -> torch.Tensor: |
|
|
batch_size, seq_len, _ = x.size() |
|
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|
|
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|
q, k, v = (proj(x) for proj in (self.proj_q, self.proj_k, self.proj_v)) |
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|
q = q.unflatten(-1, (self._n_head_q, self._dim_head_qk)) |
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|
k = k.unflatten(-1, (self._n_head_kv, self._dim_head_qk)) |
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|
v = v.unflatten(-1, (self._n_head_kv, self._dim_head_v)) |
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|
|
|
q, k = (apply_rotary_emb(x, freqs_cis) for x in (q, k)) |
|
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|
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|
q, k, v = (x.transpose(1, 2) for x in (q, k, v)) |
|
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|
attn_mask = self.bias[..., :seq_len, :seq_len] |
|
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|
|
|
|
|
|
if attention_mask is not None: |
|
|
attention_mask = ( |
|
|
attention_mask.view(batch_size, 1, 1, seq_len) |
|
|
.expand(-1, -1, seq_len, -1) |
|
|
.to(torch.bool) |
|
|
) |
|
|
attn_mask = torch.logical_or(attention_mask, attn_mask) |
|
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|
|
|
attn_output = ( |
|
|
F.scaled_dot_product_attention( |
|
|
query=q, |
|
|
key=k, |
|
|
value=v, |
|
|
attn_mask=attn_mask, |
|
|
dropout_p=self.dropout_p, |
|
|
enable_gqa=self.enable_gqa, |
|
|
) |
|
|
.transpose(1, 2) |
|
|
.flatten(2) |
|
|
) |
|
|
|
|
|
return self.proj_o(attn_output) |
|
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|
|
|
|
|
|
class FeedForward(nn.Module): |
|
|
""" |
|
|
Feed-forward network (MLP) module. |
|
|
|
|
|
Standard two-layer MLP with GELU activation. |
|
|
""" |
|
|
|
|
|
def __init__(self, config: ChessConfig): |
|
|
super().__init__() |
|
|
|
|
|
self.proj_up = nn.Linear(config.n_embd, config.n_inner) |
|
|
self.proj_down = nn.Linear(config.n_inner, config.n_embd) |
|
|
self.dropout = nn.Dropout(config.dropout) |
|
|
|
|
|
def forward(self, x: torch.Tensor) -> torch.Tensor: |
|
|
x = self.proj_up(x) |
|
|
x = F.gelu(x) |
|
|
x = self.proj_down(x) |
|
|
x = self.dropout(x) |
|
|
return x |
|
|
|
|
|
|
|
|
class TransformerBlock(nn.Module): |
|
|
""" |
|
|
A single transformer block with attention and feed-forward layers. |
|
|
|
|
|
Uses pre-normalization (LayerNorm before attention/FFN) for better |
|
|
training stability. |
|
|
""" |
|
|
|
|
|
def __init__(self, config: ChessConfig): |
|
|
super().__init__() |
|
|
|
|
|
self.ln_1 = nn.LayerNorm(config.n_embd, eps=config.layer_norm_epsilon) |
|
|
self.attn = MultiHeadAttention(config) |
|
|
self.ln_2 = nn.LayerNorm(config.n_embd, eps=config.layer_norm_epsilon) |
|
|
self.mlp = FeedForward(config) |
|
|
|
|
|
def forward( |
|
|
self, |
|
|
x: torch.Tensor, |
|
|
freqs_cis: torch.Tensor, |
|
|
attention_mask: Optional[torch.Tensor] = None, |
|
|
) -> torch.Tensor: |
|
|
|
|
|
x = x + self.attn(self.ln_1(x), freqs_cis=freqs_cis, attention_mask=attention_mask) |
|
|
|
|
|
x = x + self.mlp(self.ln_2(x)) |
|
|
return x |
|
|
|
|
|
|
|
|
class ChessForCausalLM(PreTrainedModel): |
|
|
""" |
|
|
Chess Transformer for Causal Language Modeling (next-move prediction). |
|
|
|
|
|
This model is designed to predict the next chess move given a sequence |
|
|
of previous moves. It uses a GPT-style architecture with: |
|
|
- Token embeddings for chess moves |
|
|
- Learned positional embeddings |
|
|
- Stacked transformer blocks |
|
|
- Linear head for next-token prediction |
|
|
|
|
|
The model supports weight tying between the embedding layer and the |
|
|
output projection to save parameters. |
|
|
|
|
|
Example: |
|
|
>>> config = ChessConfig(vocab_size=1200, n_embd=128, n_layer=6) |
|
|
>>> model = ChessForCausalLM(config) |
|
|
>>> inputs = {"input_ids": torch.tensor([[1, 42, 87]])} |
|
|
>>> outputs = model(**inputs) |
|
|
>>> next_move_logits = outputs.logits[:, -1, :] |
|
|
""" |
|
|
|
|
|
config_class = ChessConfig |
|
|
base_model_prefix = "transformer" |
|
|
supports_gradient_checkpointing = True |
|
|
|
|
|
keys_to_ignore_on_load_missing = ["lm_head.weight"] |
|
|
freqs_cis: torch.Tensor |
|
|
|
|
|
def __init__(self, config: ChessConfig): |
|
|
super().__init__(config) |
|
|
|
|
|
|
|
|
self.wte = nn.Embedding(config.vocab_size, config.n_embd) |
|
|
|
|
|
self.drop = nn.Dropout(config.dropout) |
|
|
|
|
|
|
|
|
self.h = nn.ModuleList([TransformerBlock(config) for _ in range(config.n_layer)]) |
|
|
|
|
|
|
|
|
self.ln_f = nn.LayerNorm(config.n_embd, eps=config.layer_norm_epsilon) |
|
|
|
|
|
|
|
|
self.lm_head = nn.Linear(config.n_embd, config.vocab_size, bias=False) |
|
|
|
|
|
freqs_cis = self._precompute_freqs_cis(config.dim_head_qk, config.n_ctx, config.rope_theta) |
|
|
self.register_buffer("freqs_cis", freqs_cis, persistent=False) |
|
|
|
|
|
|
|
|
if config.tie_weights: |
|
|
self._tied_weights_keys = ["lm_head.weight"] |
|
|
|
|
|
|
|
|
self.post_init() |
|
|
|
|
|
|
|
|
if config.tie_weights: |
|
|
self.tie_weights() |
|
|
|
|
|
def _precompute_freqs_cis(self, dim: int, end: int, theta: float): |
|
|
freqs = 1.0 / (theta ** (torch.arange(0, dim, 2)[: (dim // 2)].float() / dim)) |
|
|
t = torch.arange(end) |
|
|
freqs = torch.outer(t, freqs).float() |
|
|
return torch.polar(torch.ones_like(freqs), freqs) |
|
|
|
|
|
def get_input_embeddings(self) -> nn.Module: |
|
|
return self.wte |
|
|
|
|
|
def set_input_embeddings(self, value: nn.Module): |
|
|
self.wte = value |
|
|
if getattr(self.config, "tie_weights", False): |
|
|
self.tie_weights() |
|
|
|
|
|
def get_output_embeddings(self) -> nn.Module: |
|
|
return self.lm_head |
|
|
|
|
|
def set_output_embeddings(self, new_embeddings: nn.Module): |
|
|
self.lm_head = new_embeddings |
|
|
|
|
|
def tie_weights(self): |
|
|
|
|
|
if getattr(self.config, "tie_weights", False) or getattr( |
|
|
self.config, "tie_word_embeddings", False |
|
|
): |
|
|
self._tie_or_clone_weights(self.lm_head, self.wte) |
|
|
|
|
|
def _init_weights(self, module: nn.Module): |
|
|
"""Initialize weights following GPT-2 style.""" |
|
|
if isinstance(module, nn.Linear): |
|
|
torch.nn.init.normal_(module.weight, mean=0.0, std=0.02) |
|
|
if module.bias is not None: |
|
|
torch.nn.init.zeros_(module.bias) |
|
|
elif isinstance(module, nn.Embedding): |
|
|
torch.nn.init.normal_(module.weight, mean=0.0, std=0.02) |
|
|
elif isinstance(module, nn.LayerNorm): |
|
|
torch.nn.init.ones_(module.weight) |
|
|
torch.nn.init.zeros_(module.bias) |
|
|
|
|
|
def forward( |
|
|
self, |
|
|
input_ids: torch.Tensor, |
|
|
attention_mask: Optional[torch.Tensor] = None, |
|
|
labels: Optional[torch.LongTensor] = None, |
|
|
return_dict: Optional[bool] = None, |
|
|
**kwargs, |
|
|
) -> Union[Tuple, CausalLMOutputWithPast]: |
|
|
""" |
|
|
Forward pass of the model. |
|
|
|
|
|
Args: |
|
|
input_ids: Token IDs of shape (batch_size, seq_len). |
|
|
attention_mask: Attention mask of shape (batch_size, seq_len). |
|
|
labels: Labels for language modeling loss. |
|
|
return_dict: Whether to return a ModelOutput object. |
|
|
|
|
|
Returns: |
|
|
CausalLMOutputWithPast containing loss (if labels provided) and logits. |
|
|
""" |
|
|
return_dict = return_dict if return_dict is not None else self.config.use_return_dict |
|
|
|
|
|
batch_size, seq_len = input_ids.size() |
|
|
|
|
|
|
|
|
hidden_states = self.drop(self.wte(input_ids)) |
|
|
|
|
|
freqs_cis = self.freqs_cis[:seq_len] |
|
|
|
|
|
|
|
|
for block in self.h: |
|
|
hidden_states = block(hidden_states, freqs_cis=freqs_cis, attention_mask=attention_mask) |
|
|
|
|
|
|
|
|
hidden_states = self.ln_f(hidden_states) |
|
|
|
|
|
|
|
|
logits = self.lm_head(hidden_states) |
|
|
|
|
|
|
|
|
loss = None |
|
|
if labels is not None: |
|
|
|
|
|
shift_logits = logits[..., :-1, :].contiguous() |
|
|
shift_labels = labels[..., 1:].contiguous() |
|
|
|
|
|
|
|
|
ignore_index = self.config.pad_token_id or -100 |
|
|
loss_fct = nn.CrossEntropyLoss(ignore_index=ignore_index) |
|
|
loss = loss_fct( |
|
|
shift_logits.view(-1, shift_logits.size(-1)), |
|
|
shift_labels.view(-1), |
|
|
) |
|
|
|
|
|
if not return_dict: |
|
|
output = (logits,) |
|
|
return ((loss,) + output) if loss is not None else output |
|
|
|
|
|
return CausalLMOutputWithPast( |
|
|
loss=loss, |
|
|
logits=logits, |
|
|
past_key_values=None, |
|
|
hidden_states=None, |
|
|
attentions=None, |
|
|
) |
|
|
|
|
|
@torch.no_grad() |
|
|
def generate_move( |
|
|
self, |
|
|
input_ids: torch.LongTensor, |
|
|
temperature: float = 1.0, |
|
|
top_k: Optional[int] = None, |
|
|
top_p: Optional[float] = None, |
|
|
) -> int: |
|
|
""" |
|
|
Generate the next move given a sequence of moves. |
|
|
|
|
|
Args: |
|
|
input_ids: Token IDs of shape (1, seq_len). |
|
|
temperature: Sampling temperature (1.0 = no change). |
|
|
top_k: If set, only sample from top k tokens. |
|
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top_p: If set, use nucleus sampling with this threshold. |
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Returns: |
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The token ID of the predicted next move. |
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""" |
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self.eval() |
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outputs = self(input_ids) |
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logits = outputs.logits[:, -1, :] / temperature |
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if top_k is not None: |
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indices_to_remove = logits < torch.topk(logits, top_k)[0][..., -1, None] |
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logits[indices_to_remove] = float("-inf") |
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if top_p is not None: |
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sorted_logits, sorted_indices = torch.sort(logits, descending=True) |
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cumulative_probs = torch.cumsum(F.softmax(sorted_logits, dim=-1), dim=-1) |
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sorted_indices_to_remove = cumulative_probs > top_p |
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sorted_indices_to_remove[..., 1:] = sorted_indices_to_remove[..., :-1].clone() |
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sorted_indices_to_remove[..., 0] = 0 |
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indices_to_remove = sorted_indices_to_remove.scatter( |
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dim=-1, index=sorted_indices, src=sorted_indices_to_remove |
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) |
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logits[indices_to_remove] = float("-inf") |
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probs = F.softmax(logits, dim=-1) |
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next_token = torch.multinomial(probs, num_samples=1) |
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return int(next_token.item()) |
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