| """v16: Gumbel hard-attention. Each query attends to exactly ONE key, selected via |
| Gumbel-softmax with temperature annealing from soft → hard. |
| |
| Why this might work where v11 top-k failed: v11's STE through top-k gave gradient |
| that pushed scores up/down but the discrete selection didn't move easily. Gumbel |
| softmax gives a proper continuous-to-discrete bridge. At high temperature, attn |
| is like softmax (multiple positions active). At low temperature, attn is |
| one-hot (single position). Training anneals high → low. |
| |
| At eval: pure argmax. Each query attends to exactly one position (attention as |
| pointer). This is ternary {-1, 0, +1} in the attention matrix: one +1 per row, |
| rest 0s, with optional sign flip carried via separate bit. |
| """ |
| import math |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
| from model import sign_ste, sign_ste_clipped, BitLinear, BitFFN, BinaryEmbedding |
|
|
|
|
| |
| |
| _GUMBEL_TAU = torch.tensor([1.0]) |
|
|
|
|
| def set_gumbel_tau(tau: float): |
| """Mutate the tau tensor in place — keeps the same object identity so |
| torch.compile doesn't see a new constant.""" |
| global _GUMBEL_TAU |
| _GUMBEL_TAU.fill_(float(tau)) |
|
|
|
|
| def _get_tau(device): |
| """Return the current tau as a device-resident tensor.""" |
| global _GUMBEL_TAU |
| if _GUMBEL_TAU.device != device: |
| _GUMBEL_TAU = _GUMBEL_TAU.to(device) |
| return _GUMBEL_TAU.clamp(min=0.05) |
|
|
|
|
| def gumbel_hard_attention(scores, mask=None): |
| """scores: (B, H, T, T). mask: bool (T, T) with True for positions to zero out. |
| Returns (B, H, T, T) attention matrix with one non-zero entry per row at train |
| time (straight-through hard), and pure argmax at eval.""" |
| tau = _get_tau(scores.device) |
| if mask is not None: |
| scores = scores.masked_fill(mask, -1e9) |
| if scores.requires_grad: |
| |
| g = -torch.log(-torch.log(torch.rand_like(scores).clamp(min=1e-9)) + 1e-9) |
| y_soft = F.softmax((scores + g) / tau, dim=-1) |
| y_hard = torch.zeros_like(y_soft) |
| y_hard.scatter_(-1, y_soft.argmax(-1, keepdim=True), 1.0) |
| return y_soft + (y_hard - y_soft).detach() |
| else: |
| |
| y_hard = torch.zeros_like(scores) |
| y_hard.scatter_(-1, scores.argmax(-1, keepdim=True), 1.0) |
| return y_hard |
|
|
|
|
| class GumbelHardAttention(nn.Module): |
| def __init__(self, d_model, n_heads): |
| 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) |
| slopes = torch.tensor([2.0 ** (i - 2) for i in range(n_heads)]) |
| self.register_buffer('alibi_slopes', slopes) |
| self.register_buffer('_causal_mask', torch.empty(0), persistent=False) |
|
|
| def _get_mask(self, T, device): |
| if self._causal_mask.shape[-1] < T or self._causal_mask.device != device: |
| m = torch.triu(torch.ones(T, T, device=device, dtype=torch.bool), diagonal=1) |
| self._causal_mask = m |
| return self._causal_mask[:T, :T] |
|
|
| 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)) / math.sqrt(Dh) |
|
|
| pos = torch.arange(T, device=x.device).float() |
| dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs() |
| alibi_bias = self.alibi_slopes.view(1, H, 1, 1) * dist.view(1, 1, T, T) / math.sqrt(Dh) |
| scores = scores - alibi_bias |
|
|
| mask = self._get_mask(T, x.device) |
| 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 BitBlockV16(nn.Module): |
| def __init__(self, d_model, n_heads, d_ff): |
| super().__init__() |
| self.attn = GumbelHardAttention(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 BitLMv16(nn.Module): |
| def __init__(self, vocab_size=128, d_model=256, n_layers=8, n_heads=8, d_ff=512, 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([BitBlockV16(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 |
|
|
| @torch.no_grad() |
| def generate(self, idx, max_new_tokens=200, temperature=1.0, top_k=None): |
| self.eval() |
| for _ in range(max_new_tokens): |
| idx_cond = idx[:, -self.max_seq_len:] |
| logits, _ = self(idx_cond) |
| logits = logits[:, -1, :] / max(temperature, 1e-5) |
| if top_k is not None: |
| v, _ = torch.topk(logits, top_k) |
| logits[logits < v[:, [-1]]] = -float('inf') |
| probs = F.softmax(logits, dim=-1) |
| nxt = torch.multinomial(probs, num_samples=1) |
| idx = torch.cat([idx, nxt], dim=1) |
| return idx |
|
|
|
|
| if __name__ == '__main__': |
| set_gumbel_tau(1.0) |
| m = BitLMv16() |
| n = sum(p.numel() for p in m.parameters()) |
| print(f"v16 params: {n:,} ({n/1e6:.2f}M)") |
| x = torch.randint(0, 128, (2, 64)) |
| y = torch.randint(0, 128, (2, 64)) |
| logits, loss = m(x, y) |
| print("logits:", logits.shape, "loss:", loss.item()) |
| loss.backward() |
| print("backward OK") |
|
|