| """v41: BitConv — depthwise causal ±1 convolution replaces attention. |
| |
| Findings so far: |
| - v38 (global static T×T mix, shared-across-channels) failed catastrophically (3.12 BPC). |
| Too few degrees of freedom: one pattern for 256 channels can't capture diverse |
| per-channel routing. |
| - v39/v40 (attention + content-addressable memory) failed to beat v17. Adding |
| more routing options didn't help; the underlying local routing was already OK. |
| - Analysis said 102/120 heads are local-recent (mean argmax-distance < 3 tokens). |
| |
| v41 takes the "attention is local" finding literally and replaces attention with a |
| CHANNEL-WISE causal ±1 convolution. Each of d_model channels gets its own learnable |
| K-length ±1 kernel over the past K tokens. Per-channel (not shared) is the key |
| distinction from v38. Parameter cost is trivial (D·K), so most of the 5M budget |
| goes to FFN. |
| |
| y[b, t, d] = sign( sum_{k=0}^{K-1} sign(kernel[d, k]) * x[b, t-k, d] / sqrt(K) ) |
| |
| Everything stays ±1. No Q/K/V, no softmax, no ALiBi, no multi-head. |
| |
| Config (5M): d_model=256, n_layers=8, K=16, d_ff=800. |
| """ |
| 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 |
|
|
|
|
| class BitCausalConv(nn.Module): |
| """Depth-wise causal ±1 1D convolution. One K-length kernel per channel.""" |
| def __init__(self, d_model, kernel_size=16): |
| super().__init__() |
| self.d_model = d_model |
| self.K = kernel_size |
| |
| self.kernel = nn.Parameter(torch.randn(d_model, kernel_size) * 0.02) |
| |
| self.scale = 1.0 / math.sqrt(kernel_size) |
|
|
| def forward(self, x): |
| |
| B, T, D = x.shape |
| W = sign_ste(self.kernel) |
| |
| |
| W_conv = W.unsqueeze(1) |
| x_t = x.transpose(1, 2) |
| |
| x_pad = F.pad(x_t, (self.K - 1, 0)) |
| y = F.conv1d(x_pad, W_conv, groups=D) |
| y = y.transpose(1, 2) * self.scale |
| return sign_ste_clipped(y) |
|
|
|
|
| class BitBlockV41(nn.Module): |
| def __init__(self, d_model, d_ff, kernel_size): |
| super().__init__() |
| self.conv = BitCausalConv(d_model, kernel_size) |
| self.ffn = BitFFN(d_model, d_ff) |
|
|
| def forward(self, x): |
| c = self.conv(x) |
| f = self.ffn(x) |
| return sign_ste(x + c + f) |
|
|
|
|
| class BitLMv41(nn.Module): |
| def __init__(self, vocab_size=128, d_model=256, n_layers=8, d_ff=800, |
| kernel_size=16, 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.kernel_size = kernel_size |
| self.embed = BinaryEmbedding(vocab_size, d_model) |
| self.blocks = nn.ModuleList([ |
| BitBlockV41(d_model, d_ff, kernel_size) 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__': |
| for d_ff in (768, 800, 816): |
| for K in (8, 16, 32): |
| m = BitLMv41(d_model=256, n_layers=8, d_ff=d_ff, kernel_size=K) |
| n = sum(p.numel() for p in m.parameters()) |
| print(f'd_ff={d_ff}, K={K}: {n:,} ({n/1e6:.3f}M)') |
| m = BitLMv41() |
| 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') |
|
|