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| """v30: Doubled Binary — each weight stored as TWO independent ±1 bits (W_A, W_B). | |
| Effective weight W = W_A + W_B has values in {−2, 0, +2} — strict ternary on a | |
| binary substrate. This closes the ternary-vs-binary gap ParetoQ identified | |
| (~0.2-0.3 BPC on LLaMA) while keeping every operation as XNOR + popcount + add. | |
| At inference the output of a DoubleBitLinear layer is: | |
| y_i = popcount(W_A[i] XNOR x) + popcount(W_B[i] XNOR x) − in_features | |
| which is one extra XNOR-popcount per output row vs standard v18. Memory doubles. | |
| Attention, FFN, embeddings, residuals, and output head all use DoubleBitLinear | |
| (and a doubled embedding codebook). Activations remain strictly ±1. | |
| """ | |
| import math | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| from model import sign_ste, sign_ste_clipped | |
| from model_v18 import IntBinaryAttention # reuse attention shell | |
| from model_v16 import set_gumbel_tau | |
| def double_bin_linear_forward(x, W_A_bits, W_B_bits, threshold, in_features, scale): | |
| """Both weight halves are ±1; output is the sum of two popcount dot products.""" | |
| W_A = sign_ste(W_A_bits) | |
| W_B = sign_ste(W_B_bits) | |
| x_bin = sign_ste_clipped(x) | |
| # Two matmuls; sum them; scale; threshold; sign. | |
| y = F.linear(x_bin, W_A) + F.linear(x_bin, W_B) # effective ternary weight sum | |
| return sign_ste_clipped(y * scale - threshold) | |
| class DoubleBitLinear(nn.Module): | |
| def __init__(self, in_features, out_features): | |
| super().__init__() | |
| self.in_features = in_features | |
| self.out_features = out_features | |
| # Two independent ±1 weight matrices | |
| self.weight_A = nn.Parameter(torch.randn(out_features, in_features) * 0.02) | |
| self.weight_B = nn.Parameter(torch.randn(out_features, in_features) * 0.02) | |
| self.threshold = nn.Parameter(torch.zeros(out_features)) | |
| # Scale: since the effective sum is in [-2*in, +2*in] instead of [-in, +in], | |
| # we scale by 1/(2*sqrt(in)) to keep pre-sign at unit scale. | |
| self.scale = 1.0 / (2.0 * math.sqrt(in_features)) | |
| def forward(self, x): | |
| return double_bin_linear_forward( | |
| x, self.weight_A, self.weight_B, self.threshold, self.in_features, self.scale) | |
| class DoubleBiAttention(nn.Module): | |
| """v18's IntBinaryAttention but with DoubleBitLinear projections.""" | |
| 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 = DoubleBitLinear(d_model, d_model) | |
| self.k_proj = DoubleBitLinear(d_model, d_model) | |
| self.v_proj = DoubleBitLinear(d_model, d_model) | |
| self.o_proj = DoubleBitLinear(d_model, d_model) | |
| slopes = torch.tensor([1 << i for i in range(n_heads)], dtype=torch.long) | |
| self.register_buffer('alibi_slopes_int', 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 _gumbel_hard(self, scores): | |
| from model_v16 import _get_tau | |
| 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) | |
| y_hard.scatter_(-1, y_soft.argmax(-1, keepdim=True), 1.0) | |
| return y_soft + (y_hard - y_soft).detach() | |
| else: | |
| y = torch.zeros_like(scores) | |
| y.scatter_(-1, scores.argmax(-1, keepdim=True), 1.0) | |
| return y | |
| 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)) | |
| pos = torch.arange(T, device=Q.device) | |
| dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs().to(Q.dtype) | |
| alibi = self.alibi_slopes_int.view(1, H, 1, 1).to(Q.dtype) * dist.view(1, 1, T, T) | |
| scores = scores - alibi | |
| mask = self._get_mask(T, x.device) | |
| scores = scores.masked_fill(mask, -1e9) | |
| A = self._gumbel_hard(scores) | |
| O = torch.matmul(A, V) | |
| O = O.transpose(1, 2).contiguous().view(B, T, D) | |
| return self.o_proj(O) | |
| class DoubleBitFFN(nn.Module): | |
| def __init__(self, d_model, d_ff): | |
| super().__init__() | |
| self.gate = DoubleBitLinear(d_model, d_ff) | |
| self.up = DoubleBitLinear(d_model, d_ff) | |
| self.down = DoubleBitLinear(d_ff, d_model) | |
| def forward(self, x): | |
| return self.down(self.gate(x) * self.up(x)) | |
| class BitBlockV30(nn.Module): | |
| def __init__(self, d_model, n_heads, d_ff): | |
| super().__init__() | |
| self.attn = DoubleBiAttention(d_model, n_heads) | |
| self.ffn = DoubleBitFFN(d_model, d_ff) | |
| def forward(self, x): | |
| a = self.attn(x) | |
| f = self.ffn(x) | |
| return sign_ste(x + a + f) | |
| class DoubleBinaryEmbedding(nn.Module): | |
| """Embedding with two ±1 codebooks summed; effective ternary.""" | |
| def __init__(self, vocab_size, d_model): | |
| super().__init__() | |
| self.vocab_size = vocab_size | |
| self.d_model = d_model | |
| self.weight_A = nn.Parameter(torch.randn(vocab_size, d_model) * 0.02) | |
| self.weight_B = nn.Parameter(torch.randn(vocab_size, d_model) * 0.02) | |
| def forward(self, idx): | |
| W_A = sign_ste(self.weight_A) | |
| W_B = sign_ste(self.weight_B) | |
| # Sum-and-sign to keep embedding strictly ±1 at block input | |
| # (alternatively we could go ternary here too — but we keep input ±1 for clarity). | |
| W = sign_ste(W_A + W_B) | |
| return F.embedding(idx, W) | |
| def get_codebook(self): | |
| return sign_ste(sign_ste(self.weight_A) + sign_ste(self.weight_B)) | |
| class BitLMv30(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 = DoubleBinaryEmbedding(vocab_size, d_model) | |
| self.blocks = nn.ModuleList([ | |
| BitBlockV30(d_model, n_heads, d_ff) for _ in range(n_layers) | |
| ]) | |
| # Doubled output codebook for ternary-effective output head | |
| self.out_codebook_A = nn.Parameter(torch.randn(vocab_size, d_model) * 0.02) | |
| self.out_codebook_B = nn.Parameter(torch.randn(vocab_size, d_model) * 0.02) | |
| self.logit_scale = nn.Parameter(torch.tensor(1.0 / (2.0 * 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_A = sign_ste(self.out_codebook_A) | |
| W_B = sign_ste(self.out_codebook_B) | |
| # Sum two popcount similarities for ternary effective logits | |
| scores = torch.matmul(x, W_A.t()) + torch.matmul(x, W_B.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 | |
| 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 cfg_name, d, L, d_ff in [('5M', 256, 8, 512), ('50M', 768, 10, 1280)]: | |
| m = BitLMv30(vocab_size=128, d_model=d, n_layers=L, n_heads=max(8, d//64), d_ff=d_ff) | |
| n = sum(p.numel() for p in m.parameters()) | |
| print(f'v30 {cfg_name}: {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') | |