| """v54: Bit-level language model. Vocab = 2 (±1 for 0/1). |
| |
| Instead of char-level 128-way softmax output, the model predicts one BIT at a |
| time. Each char is decomposed into 7 ±1 bits. For TinyStories (vocab=128), |
| this is exact and lossless. Training loss is binary cross-entropy per bit. |
| To compare apples-to-apples with char-level BPC, we aggregate: |
| char_BPC = 7 × (bit_CE_in_nats / ln(2)) |
| |
| The model is strict ±1 everywhere (v17-style): Gumbel hard-argmax attention, |
| sign_ste residual, no RMSNorm, no α scales, no softmax over positions. Only |
| the output is a tiny 2-class softmax. |
| |
| Why this could unlock 1.3 BPC per char: |
| - Each prediction is a single binary decision — the simplest possible task |
| for a ±1 network. |
| - High-order bits of ASCII are nearly deterministic (space/letters ≈ 0x2_- |
| 0x7_), so most bits are easy; the model only has to work hard on the low- |
| order bits where it can spend its capacity. |
| - Training dynamics on binary targets are much better-matched to binary |
| networks than 128-way softmax. |
| |
| Config: d_model=256, n_layers=8, n_heads=8, d_ff=512 — v18 defaults, strict ±1. |
| """ |
| import math |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
| from model import sign_ste |
| from model_v18 import BitBlockV18 |
|
|
|
|
| class BitLevelLM(nn.Module): |
| """Bit-level ±1 transformer. Vocab = 2.""" |
| def __init__(self, d_model=256, n_layers=8, n_heads=8, d_ff=512, max_seq_len=1792): |
| super().__init__() |
| self.vocab_size = 2 |
| self.d_model = d_model |
| self.n_layers = n_layers |
| self.max_seq_len = max_seq_len |
| |
| |
| self.embed_raw = nn.Parameter(torch.randn(2, d_model) * 0.02) |
| self.blocks = nn.ModuleList([ |
| BitBlockV18(d_model, n_heads, d_ff) for _ in range(n_layers) |
| ]) |
| |
| self.out_codebook = nn.Parameter(torch.randn(2, d_model) * 0.02) |
| self.logit_scale = nn.Parameter(torch.tensor(1.0 / math.sqrt(d_model))) |
| self.out_bias = nn.Parameter(torch.zeros(2)) |
|
|
| def forward(self, idx, targets=None): |
| |
| W_embed = sign_ste(self.embed_raw) |
| x = W_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, 2), targets.view(-1)) |
| return logits, loss |
|
|
|
|
| if __name__ == '__main__': |
| from model_v16 import set_gumbel_tau |
| set_gumbel_tau(0.5) |
| m = BitLevelLM(d_model=256, n_layers=8, n_heads=8, d_ff=512, max_seq_len=1792) |
| n = sum(p.numel() for p in m.parameters()) |
| print(f'bit-level: {n:,} ({n/1e6:.3f}M)') |
| x = torch.randint(0, 2, (2, 64)) |
| y = torch.randint(0, 2, (2, 64)) |
| logits, loss = m(x, y) |
| loss.backward() |
| print(f'loss={loss.item():.3f}, backward OK, logits shape={tuple(logits.shape)}') |
|
|