| """v39: BitHop — binary attention + content-addressable memory bank. |
| |
| v38 (pure BitMixer, no attention) tanked at 3.12 BPC vs v17's 1.68, proving |
| that binary attention — even though the analysis showed heads look locally |
| biased — is still doing data-dependent work a static mix cannot replicate. |
| |
| But the analysis was not wrong about the *missing* capability: binary attention |
| with ±1 QK and ALiBi cannot form long-range content-addressable routing. |
| v39 adds it explicitly via a Hopfield-style prototype memory bank per layer: |
| |
| BitHopHead: M learnable ±1 prototype (key, value) pairs. |
| Each token: q = BitLinear(x); scores = q @ keys.T (integer); |
| Gumbel-argmax over M picks one prototype; out = BitLinear(V_sel). |
| |
| All signal paths ±1. Prototypes are latent-float weights whose sign() is used |
| at forward — identical discipline to BitLinear weights. At eval, argmax is a |
| pure integer compare over M options. |
| |
| Each v39 block: attention(x) + hop(x) + ffn(x), all summed into residual. |
| """ |
| 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_v16 import _get_tau |
| from model_v18 import IntBinaryAttention |
|
|
|
|
| class BitHopHead(nn.Module): |
| """Content-addressable memory: M ±1 prototype key/value pairs, top-1 routing.""" |
| def __init__(self, d_model, n_proto=32): |
| super().__init__() |
| self.n_proto = n_proto |
| self.q_proj = BitLinear(d_model, d_model, binarize_input=True) |
| self.o_proj = BitLinear(d_model, d_model, binarize_input=True) |
| |
| self.key_proto = nn.Parameter(torch.randn(n_proto, d_model) * 0.02) |
| self.val_proto = nn.Parameter(torch.randn(n_proto, d_model) * 0.02) |
|
|
| def forward(self, x): |
| B, T, D = x.shape |
| q = self.q_proj(x) |
| K = sign_ste(self.key_proto) |
| V = sign_ste(self.val_proto) |
| scores = q @ K.t() |
| tau = _get_tau(scores.device) |
| 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).scatter_(-1, y_soft.argmax(-1, keepdim=True), 1.0) |
| A = y_soft + (y_hard - y_soft).detach() |
| else: |
| A = torch.zeros_like(scores).scatter_(-1, scores.argmax(-1, keepdim=True), 1.0) |
| out = A @ V |
| return self.o_proj(out) |
|
|
|
|
| class BitBlockV39(nn.Module): |
| def __init__(self, d_model, n_heads, d_ff, n_proto): |
| super().__init__() |
| self.attn = IntBinaryAttention(d_model, n_heads) |
| self.hop = BitHopHead(d_model, n_proto) |
| self.ffn = BitFFN(d_model, d_ff) |
|
|
| def forward(self, x): |
| a = self.attn(x) |
| h = self.hop(x) |
| f = self.ffn(x) |
| return sign_ste(x + a + h + f) |
|
|
|
|
| class BitLMv39(nn.Module): |
| def __init__(self, vocab_size=128, d_model=256, n_layers=8, n_heads=8, |
| d_ff=288, n_proto=32, 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.n_proto = n_proto |
| self.embed = BinaryEmbedding(vocab_size, d_model) |
| self.blocks = nn.ModuleList([ |
| BitBlockV39(d_model, n_heads, d_ff, n_proto) 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__': |
| from model_v16 import set_gumbel_tau |
| set_gumbel_tau(0.5) |
| for d_ff in (256, 272, 288, 304): |
| m = BitLMv39(d_ff=d_ff) |
| n = sum(p.numel() for p in m.parameters()) |
| print(f'd_ff={d_ff}: {n:,} ({n/1e6:.3f}M)') |
| m = BitLMv39() |
| 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') |
|
|