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| """v57: v17 architecture with 32 heads (d_head=16) — strict ±1. | |
| Only change from v17: more heads. Each head is an independent binary voter | |
| via Gumbel hard-argmax. Aggregate concat'd into residual. 32 heads = 32× | |
| independent ±1 votes per position vs v17's 8. | |
| ALiBi slopes are grouped: 8 distinct slopes, 4 heads per group, to avoid | |
| int64 overflow for more-than-16 heads. | |
| """ | |
| import math | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| from model import sign_ste, BitLinear, BitFFN, BinaryEmbedding | |
| from model_v16 import gumbel_hard_attention | |
| class ManyHeadAttention(nn.Module): | |
| def __init__(self, d_model, n_heads, slope_groups=8): | |
| super().__init__() | |
| assert d_model % n_heads == 0 | |
| self.d_model = d_model | |
| self.n_heads = n_heads | |
| self.head_dim = d_model // n_heads | |
| self.q_proj = BitLinear(d_model, d_model) | |
| self.k_proj = BitLinear(d_model, d_model) | |
| self.v_proj = BitLinear(d_model, d_model) | |
| self.o_proj = BitLinear(d_model, d_model) | |
| # Grouped integer ALiBi slopes to avoid overflow: 2^0..2^(slope_groups-1) | |
| # repeated to fill n_heads. | |
| heads_per_group = n_heads // slope_groups | |
| slopes = [] | |
| for g in range(slope_groups): | |
| slopes.extend([1 << g] * heads_per_group) | |
| while len(slopes) < n_heads: | |
| slopes.append(1 << (slope_groups - 1)) | |
| self.register_buffer('alibi_slopes_int', torch.tensor(slopes[:n_heads], dtype=torch.long)) | |
| def forward(self, x): | |
| B, T, D = x.shape | |
| H, Dh = self.n_heads, self.head_dim | |
| Q = self.q_proj(x).view(B, T, H, Dh).transpose(1, 2) | |
| K = self.k_proj(x).view(B, T, H, Dh).transpose(1, 2) | |
| V = self.v_proj(x).view(B, T, H, Dh).transpose(1, 2) | |
| scores = torch.matmul(Q, K.transpose(-2, -1)) | |
| pos = torch.arange(T, device=x.device) | |
| dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs() | |
| alibi = self.alibi_slopes_int.view(1, H, 1, 1).to(scores.dtype) \ | |
| * dist.view(1, 1, T, T).to(scores.dtype) | |
| scores = scores - alibi | |
| mask = torch.triu(torch.ones(T, T, device=x.device, dtype=torch.bool), diagonal=1) | |
| A = gumbel_hard_attention(scores, mask=mask) | |
| O = torch.matmul(A, V) | |
| O = O.transpose(1, 2).contiguous().view(B, T, D) | |
| return self.o_proj(O) | |
| class BitBlockV57(nn.Module): | |
| def __init__(self, d_model, n_heads, d_ff): | |
| super().__init__() | |
| self.attn = ManyHeadAttention(d_model, n_heads) | |
| self.ffn = BitFFN(d_model, d_ff) | |
| def forward(self, x): | |
| a = self.attn(x) | |
| f = self.ffn(x) | |
| return sign_ste(x + a + f) | |
| class BitLMv57(nn.Module): | |
| def __init__(self, vocab_size=128, d_model=512, n_layers=4, n_heads=32, | |
| d_ff=192, max_seq_len=256): | |
| super().__init__() | |
| self.vocab_size = vocab_size | |
| self.d_model = d_model | |
| self.n_layers = n_layers | |
| self.max_seq_len = max_seq_len | |
| self.embed = BinaryEmbedding(vocab_size, d_model) | |
| self.blocks = nn.ModuleList([ | |
| BitBlockV57(d_model, n_heads, d_ff) for _ in range(n_layers) | |
| ]) | |
| self.out_codebook = nn.Parameter(torch.randn(vocab_size, d_model) * 0.02) | |
| self.logit_scale = nn.Parameter(torch.tensor(1.0 / math.sqrt(d_model))) | |
| self.out_bias = nn.Parameter(torch.zeros(vocab_size)) | |
| def forward(self, idx, targets=None): | |
| x = self.embed(idx) | |
| for blk in self.blocks: | |
| x = blk(x) | |
| W_out = sign_ste(self.out_codebook) | |
| scores = torch.matmul(x, W_out.t()) | |
| logits = scores * self.logit_scale + self.out_bias | |
| loss = None | |
| if targets is not None: | |
| loss = F.cross_entropy(logits.view(-1, self.vocab_size), targets.view(-1)) | |
| return logits, loss | |
| if __name__ == '__main__': | |
| from model_v16 import set_gumbel_tau | |
| set_gumbel_tau(0.5) | |
| for H in (16, 32, 64): | |
| m = BitLMv57(d_model=512, n_layers=4, n_heads=H, d_ff=192) | |
| n = sum(p.numel() for p in m.parameters()) | |
| print(f'n_heads={H}: {n:,} ({n/1e6:.3f}M)') | |
| m = BitLMv57(d_model=512, n_layers=4, n_heads=32, d_ff=192) | |
| x = torch.randint(0, 128, (2, 64)) | |
| y = torch.randint(0, 128, (2, 64)) | |
| logits, loss = m(x, y) | |
| loss.backward() | |
| print(f'loss={loss.item():.3f}, backward OK') | |