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| """v56: Top-K attention with strict ±1 everywhere. | |
| Gumbel hard-argmax (v16/v17) forces each query to attend to EXACTLY ONE past | |
| position — a crushing expressivity constraint. Top-K relaxes this to K | |
| positions (K > 1) while keeping every activation strictly ±1: | |
| scores = Q @ K^T (integer popcount) minus ALiBi | |
| causal mask | |
| top-K per query → indices + gather | |
| O = sign_ste(sum of gathered V's) # integer sum of K ±1 vectors, signed | |
| Differentiability: top-K is non-differentiable. We use a soft-hard trick: the | |
| forward produces hard top-K gather; the backward flows through the scores with | |
| straight-through on the top-K set. Implemented by adding a soft-softmax surrogate | |
| for gradient + hard top-K for forward. | |
| Config: v17 shape (d=512, L=4, d_ff=192, 5.52M). K=4. | |
| """ | |
| import math | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| from model import sign_ste, BitLinear, BitFFN, BinaryEmbedding | |
| class TopKBinaryAttention(nn.Module): | |
| def __init__(self, d_model, n_heads, top_k=4): | |
| 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.top_k = top_k | |
| 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) | |
| slopes = torch.tensor([1 << i for i in range(n_heads)], dtype=torch.long) | |
| self.register_buffer('alibi_slopes_int', slopes) | |
| def forward(self, x): | |
| B, T, D = x.shape | |
| H, Dh, K = self.n_heads, self.head_dim, self.top_k | |
| 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) | |
| scores = scores.masked_fill(mask, -1e9) | |
| # Soft-hard top-K: | |
| # - hard: pick top-K, one-hot mask | |
| # - soft: softmax over scores for gradient | |
| eff_k = min(K, T) | |
| top_vals, top_idx = scores.topk(eff_k, dim=-1) # (B, H, T, K) | |
| # hard attention mask | |
| hard_A = torch.zeros_like(scores) | |
| hard_A.scatter_(-1, top_idx, 1.0) | |
| # soft softmax (normalized) for backward path | |
| soft_A = F.softmax(scores, dim=-1) | |
| A = soft_A + (hard_A - soft_A).detach() # STE: forward=hard, backward=soft | |
| # Sum of K ±1 V's per query → sign | |
| O = torch.matmul(A, V) # (B, H, T, Dh) integer in [-K, K] | |
| O = sign_ste(O) # ±1 | |
| O = O.transpose(1, 2).contiguous().view(B, T, D) | |
| return self.o_proj(O) | |
| class BitBlockV56(nn.Module): | |
| def __init__(self, d_model, n_heads, d_ff, top_k=4): | |
| super().__init__() | |
| self.attn = TopKBinaryAttention(d_model, n_heads, top_k=top_k) | |
| 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) # strict ±1 residual | |
| class BitLMv56(nn.Module): | |
| def __init__(self, vocab_size=128, d_model=512, n_layers=4, n_heads=8, | |
| d_ff=192, top_k=4, 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.top_k = top_k | |
| self.embed = BinaryEmbedding(vocab_size, d_model) | |
| self.blocks = nn.ModuleList([ | |
| BitBlockV56(d_model, n_heads, d_ff, top_k=top_k) 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__': | |
| m = BitLMv56(d_model=512, n_layers=4, d_ff=192, top_k=4) | |
| n = sum(p.numel() for p in m.parameters()) | |
| print(f'v56 top-4 attn: {n:,} ({n/1e6:.3f}M)') | |
| 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') | |