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Chess Transformer Model for the Chess Challenge.
This module provides a GPT-style transformer architecture
designed to fit within the 1M parameter constraint.
Key improvements for legal move generation:
- Optimized architecture for move-level tokenization
- Better parameter distribution
- Support for board-aware training
"""
from __future__ import annotations
import math
from typing import Optional, Tuple, Union
import torch
import torch.nn as nn
import torch.nn.functional as F
from transformers import PretrainedConfig, PreTrainedModel
from transformers.modeling_outputs import CausalLMOutputWithPast
def calculate_parameters(
vocab_size: int,
n_embd: int,
n_layer: int,
n_head: int,
n_ctx: int,
n_inner: int,
tie_weights: bool = True,
) -> int:
"""
Calculate the total number of parameters for a given configuration.
"""
# Token embeddings: vocab_size * n_embd
token_emb = vocab_size * n_embd
# Position embeddings: n_ctx * n_embd
pos_emb = n_ctx * n_embd
# Per transformer layer:
ln1 = 2 * n_embd
attn_qkv = n_embd * 3 * n_embd + 3 * n_embd
attn_out = n_embd * n_embd + n_embd
ln2 = 2 * n_embd
ffn_up = n_embd * n_inner + n_inner
ffn_down = n_inner * n_embd + n_embd
per_layer = ln1 + attn_qkv + attn_out + ln2 + ffn_up + ffn_down
all_layers = n_layer * per_layer
# Final layer norm
final_ln = 2 * n_embd
# LM head (shared if tie_weights)
lm_head = 0 if tie_weights else vocab_size * n_embd
total = token_emb + pos_emb + all_layers + final_ln + lm_head
return total
def find_optimal_config(
vocab_size: int,
target_params: int = 980_000,
max_params: int = 999_999,
n_ctx: int = 256,
tie_weights: bool = True,
) -> dict:
"""
Find optimal model configuration that fits within the parameter budget.
Prioritizes deeper models with moderate width for better pattern learning.
"""
best_config = None
best_params = 0
# Search configurations - prioritize depth for sequential pattern learning
configs_to_try = [
# (n_embd, n_layer, n_head, ffn_mult) - deeper is better for sequence modeling
(128, 12, 8, 2.0), # Deep and narrow
(128, 10, 8, 2.5),
(112, 12, 8, 2.0),
(120, 10, 8, 2.0),
(128, 8, 8, 3.0),
(112, 10, 8, 2.5),
(96, 12, 8, 2.5),
(128, 8, 8, 2.5),
(120, 8, 8, 2.5),
(112, 8, 8, 3.0),
(96, 10, 8, 3.0),
(128, 6, 8, 3.0),
(112, 8, 8, 2.5),
(96, 8, 8, 3.0),
]
for n_embd, n_layer, n_head, ffn_mult in configs_to_try:
if n_embd % n_head != 0:
continue
n_inner = int(n_embd * ffn_mult)
params = calculate_parameters(
vocab_size=vocab_size,
n_embd=n_embd,
n_layer=n_layer,
n_head=n_head,
n_ctx=n_ctx,
n_inner=n_inner,
tie_weights=tie_weights,
)
if params <= max_params and params > best_params:
best_params = params
best_config = {
"n_embd": n_embd,
"n_layer": n_layer,
"n_head": n_head,
"n_ctx": n_ctx,
"n_inner": n_inner,
"params": params,
}
if params >= target_params:
return best_config
return best_config
class ChessConfig(PretrainedConfig):
"""
Configuration class for the Chess Transformer model.
"""
model_type = "chess_transformer"
def __init__(
self,
vocab_size: int = 1200,
n_embd: int = 128,
n_layer: int = 8,
n_head: int = 8,
n_ctx: int = 256,
n_inner: Optional[int] = None,
dropout: float = 0.1,
layer_norm_epsilon: float = 1e-5,
tie_weights: bool = True,
pad_token_id: int = 0,
bos_token_id: int = 1,
eos_token_id: int = 2,
use_cache: bool = True,
**kwargs,
):
super().__init__(
pad_token_id=pad_token_id,
bos_token_id=bos_token_id,
eos_token_id=eos_token_id,
**kwargs,
)
self.vocab_size = vocab_size
self.n_embd = n_embd
self.n_layer = n_layer
self.n_head = n_head
self.n_ctx = n_ctx
self.n_inner = n_inner if n_inner is not None else 3 * n_embd
self.dropout = dropout
self.layer_norm_epsilon = layer_norm_epsilon
self.tie_weights = tie_weights
self.tie_word_embeddings = bool(tie_weights)
self.use_cache = use_cache
class MultiHeadAttention(nn.Module):
"""Multi-head self-attention with causal masking."""
def __init__(self, config: ChessConfig):
super().__init__()
assert config.n_embd % config.n_head == 0
self.n_head = config.n_head
self.n_embd = config.n_embd
self.head_dim = config.n_embd // config.n_head
self.scale = 1.0 / math.sqrt(self.head_dim)
# Combined QKV projection
self.c_attn = nn.Linear(config.n_embd, 3 * config.n_embd)
self.c_proj = nn.Linear(config.n_embd, config.n_embd)
self.attn_dropout = nn.Dropout(config.dropout)
self.resid_dropout = nn.Dropout(config.dropout)
# Causal mask
self.register_buffer(
"bias",
torch.tril(torch.ones(config.n_ctx, config.n_ctx)).view(
1, 1, config.n_ctx, config.n_ctx
),
persistent=False,
)
def forward(
self,
x: torch.Tensor,
attention_mask: Optional[torch.Tensor] = None,
) -> torch.Tensor:
B, T, C = x.size()
# QKV projection
qkv = self.c_attn(x)
q, k, v = qkv.split(self.n_embd, dim=2)
# Reshape for multi-head attention
q = q.view(B, T, self.n_head, self.head_dim).transpose(1, 2)
k = k.view(B, T, self.n_head, self.head_dim).transpose(1, 2)
v = v.view(B, T, self.n_head, self.head_dim).transpose(1, 2)
# Attention scores
att = (q @ k.transpose(-2, -1)) * self.scale
# Causal mask
att = att.masked_fill(self.bias[:, :, :T, :T] == 0, float("-inf"))
# Padding mask
if attention_mask is not None:
att = att.masked_fill(
attention_mask.unsqueeze(1).unsqueeze(2) == 0, float("-inf")
)
att = F.softmax(att, dim=-1)
att = self.attn_dropout(att)
# Apply attention
y = att @ v
y = y.transpose(1, 2).contiguous().view(B, T, C)
return self.resid_dropout(self.c_proj(y))
class FeedForward(nn.Module):
"""Feed-forward network with GELU activation."""
def __init__(self, config: ChessConfig):
super().__init__()
self.c_fc = nn.Linear(config.n_embd, config.n_inner)
self.c_proj = nn.Linear(config.n_inner, config.n_embd)
self.dropout = nn.Dropout(config.dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
x = self.c_fc(x)
x = F.gelu(x)
x = self.c_proj(x)
return self.dropout(x)
class TransformerBlock(nn.Module):
"""Transformer block with pre-normalization."""
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,
attention_mask: Optional[torch.Tensor] = None,
) -> torch.Tensor:
x = x + self.attn(self.ln_1(x), attention_mask=attention_mask)
x = x + self.mlp(self.ln_2(x))
return x
class ChessForCausalLM(PreTrainedModel):
"""
Chess Transformer for next-move prediction.
"""
config_class = ChessConfig
base_model_prefix = "transformer"
supports_gradient_checkpointing = True
_keys_to_ignore_on_load_missing = ["lm_head.weight"]
def __init__(self, config: ChessConfig):
super().__init__(config)
self.wte = nn.Embedding(config.vocab_size, config.n_embd)
self.wpe = nn.Embedding(config.n_ctx, 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)
if config.tie_weights:
self._tied_weights_keys = ["lm_head.weight"]
self.post_init()
if config.tie_weights:
self.tie_weights()
def get_input_embeddings(self) -> nn.Module:
return self.wte
def set_input_embeddings(self, new_embeddings: nn.Module):
self.wte = new_embeddings
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 with small std for stability."""
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.LongTensor,
attention_mask: Optional[torch.Tensor] = None,
position_ids: Optional[torch.LongTensor] = None,
labels: Optional[torch.LongTensor] = None,
return_dict: Optional[bool] = None,
**kwargs,
) -> Union[Tuple, CausalLMOutputWithPast]:
return_dict = return_dict if return_dict is not None else self.config.use_return_dict
B, T = input_ids.size()
device = input_ids.device
if position_ids is None:
position_ids = torch.arange(T, device=device).unsqueeze(0).expand(B, -1)
# Embeddings
tok_emb = self.wte(input_ids)
pos_emb = self.wpe(position_ids)
x = self.drop(tok_emb + pos_emb)
# Transformer blocks
for block in self.h:
x = block(x, attention_mask=attention_mask)
x = self.ln_f(x)
logits = self.lm_head(x)
# Loss computation
loss = None
if labels is not None:
shift_logits = logits[..., :-1, :].contiguous()
shift_labels = labels[..., 1:].contiguous()
loss = F.cross_entropy(
shift_logits.view(-1, shift_logits.size(-1)),
shift_labels.view(-1),
ignore_index=-100,
)
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,
) -> int:
"""Generate the next move token."""
self.eval()
outputs = self(input_ids)
logits = outputs.logits[:, -1, :]
if temperature > 0:
logits = logits / temperature
if top_k is not None:
v, _ = torch.topk(logits, min(top_k, logits.size(-1)))
logits[logits < v[:, [-1]]] = float("-inf")
probs = F.softmax(logits, dim=-1)
next_token = torch.multinomial(probs, num_samples=1)
return next_token.item()
# Register with Auto classes
from transformers import AutoConfig, AutoModelForCausalLM
AutoConfig.register("chess_transformer", ChessConfig)
AutoModelForCausalLM.register(ChessConfig, ChessForCausalLM)
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