| """v23: Track IV.B — multi-prototype output head. |
| |
| Standard v18 head: logit[c] = popcount(h ⊕ embed[c]) # single ±1 prototype per char |
| v23 head: logit[c] = max_k popcount(h ⊕ proto[c, k]) # K prototypes per char |
| |
| The max-over-k captures multi-modal character distributions that a single ±1 |
| prototype cannot represent. Still pure-integer: each popcount is a standard |
| XNOR-popcount, max is an integer compare tree. Inference cost: K× more |
| popcounts at the head, negligible because head is ~1% of FLOPs. |
| |
| Training: use log-sum-exp as a soft-max at train time (collapses to max at τ→0 |
| with the annealed Gumbel temperature we already use). |
| """ |
| 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 |
| from model_v18 import IntBinaryAttention |
| from model_v16 import set_gumbel_tau |
|
|
|
|
| class BitBlockV23(nn.Module): |
| def __init__(self, d_model, n_heads, d_ff): |
| super().__init__() |
| self.attn = IntBinaryAttention(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 BitLMv23(nn.Module): |
| def __init__(self, vocab_size=128, d_model=256, n_layers=8, n_heads=8, d_ff=512, |
| max_seq_len=256, K_proto=4): |
| 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.K = K_proto |
| self.embed = BinaryEmbedding(vocab_size, d_model) |
| self.blocks = nn.ModuleList([ |
| BitBlockV23(d_model, n_heads, d_ff) for _ in range(n_layers) |
| ]) |
| |
| self.out_codebook = nn.Parameter(torch.randn(vocab_size, K_proto, 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.einsum('btd,vkd->btvk', x, W_out) |
| |
| |
| |
| scaled = scores * self.logit_scale |
| |
| logits = torch.logsumexp(scaled, dim=-1) + 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 forward_eval_argmax(self, idx): |
| """Hard-max variant for inference — pure integer.""" |
| x = self.embed(idx) |
| for blk in self.blocks: |
| x = blk(x) |
| W_out = sign_ste(self.out_codebook) |
| scores = torch.einsum('btd,vkd->btvk', x, W_out) |
| best_over_k, _ = scores.max(dim=-1) |
| return best_over_k |
|
|
| @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(0.5) |
| for K in [2, 4, 8]: |
| m = BitLMv23(K_proto=K) |
| n = sum(p.numel() for p in m.parameters()) |
| print(f'v23 K={K}: {n:,} params ({n/1e6:.2f}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') |
|
|