"""v53: Bit-plane binary weights. Every stored bit ±1; effective weight is a K-bit signed integer (K ±1 matrices combined as Σ 2^k · sign(W_k)). No softmax, no RMSNorm, no float scales, no float residual. Pure ±1 everywhere: - Attention: Gumbel hard-argmax (v16 style) — one-hot per query - Residual: sign_ste(x + a + f) - Activations: ±1 via sign_ste - Weights: K ±1 planes summed with powers-of-2 weights Effective weight values: signed 2^K-level integer. K=4 gives 16 distinct values per weight while still storing every bit strictly as ±1. Config: d_model=224, n_layers=4, n_heads=8, d_ff=160, K=4 → 5.0M ±1 weights. """ import math import torch import torch.nn as nn import torch.nn.functional as F from model import sign_ste, sign_ste_clipped, BinaryEmbedding from model_v16 import gumbel_hard_attention class BitPlaneLinear(nn.Module): """K stacked ±1 weight matrices; effective weight is signed K-bit integer.""" def __init__(self, in_features, out_features, K=4, binarize_input=True): super().__init__() self.in_features = in_features self.out_features = out_features self.K = K self.binarize_input = binarize_input # K latent-float weight matrices; each sign()'d at forward. self.weights = nn.ParameterList([ nn.Parameter(torch.randn(out_features, in_features) * 0.02) for _ in range(K) ]) self.threshold = nn.Parameter(torch.zeros(out_features)) # Accumulator max magnitude = sum_k 2^k * sqrt(in) ≈ (2^K - 1) sqrt(in) self.scale = 1.0 / ((2 ** K - 1) * math.sqrt(in_features)) def forward(self, x): if self.binarize_input: x = sign_ste_clipped(x) acc = 0 for k, w in enumerate(self.weights): W = sign_ste(w) acc = acc + (2 ** k) * F.linear(x, W) s = acc * self.scale - self.threshold return sign_ste_clipped(s) class BitPlaneFFN(nn.Module): def __init__(self, d_model, d_ff, K=4): super().__init__() self.gate = BitPlaneLinear(d_model, d_ff, K=K, binarize_input=True) self.up = BitPlaneLinear(d_model, d_ff, K=K, binarize_input=True) self.down = BitPlaneLinear(d_ff, d_model, K=K, binarize_input=True) def forward(self, x): return self.down(self.gate(x) * self.up(x)) class BitPlaneAttention(nn.Module): """Gumbel hard-argmax attention with bit-plane Q/K/V/O projections. Attention matrix is one-hot per query (strict ±1 / {0,1}).""" def __init__(self, d_model, n_heads, K=4): 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 = BitPlaneLinear(d_model, d_model, K=K) self.k_proj = BitPlaneLinear(d_model, d_model, K=K) self.v_proj = BitPlaneLinear(d_model, d_model, K=K) self.o_proj = BitPlaneLinear(d_model, d_model, K=K) slopes = torch.tensor([1 << i for i in range(n_heads)], dtype=torch.long) self.register_buffer('alibi_slopes_int', slopes) 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=x.device) dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs() alibi = self.alibi_slopes_int.view(1, H, 1, 1).to(scores.dtype) \ * dist.view(1, 1, T, T).to(scores.dtype) scores = scores - alibi mask = torch.triu(torch.ones(T, T, device=x.device, dtype=torch.bool), diagonal=1) A = gumbel_hard_attention(scores, mask=mask) # one-hot per query O = torch.matmul(A, V) O = O.transpose(1, 2).contiguous().view(B, T, D) return self.o_proj(O) class BitBlockV53(nn.Module): def __init__(self, d_model, n_heads, d_ff, K=4): super().__init__() self.attn = BitPlaneAttention(d_model, n_heads, K=K) self.ffn = BitPlaneFFN(d_model, d_ff, K=K) def forward(self, x): a = self.attn(x) f = self.ffn(x) return sign_ste(x + a + f) # strict ±1 residual class BitLMv53(nn.Module): def __init__(self, vocab_size=128, d_model=224, n_layers=4, n_heads=8, d_ff=160, K=4, 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.K = K self.embed = BinaryEmbedding(vocab_size, d_model) self.blocks = nn.ModuleList([ BitBlockV53(d_model, n_heads, d_ff, K=K) 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 if __name__ == '__main__': from model_v16 import set_gumbel_tau set_gumbel_tau(0.5) for (D, d_ff, K) in ((224, 160, 4), (200, 160, 4), (256, 128, 4), (224, 192, 4)): m = BitLMv53(d_model=D, d_ff=d_ff, K=K) n = sum(p.numel() for p in m.parameters()) print(f'D={D} d_ff={d_ff} K={K}: {n:,} ({n/1e6:.3f}M)') m = BitLMv53() 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')