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| """v5: combines sprint Track A+C top-EV bets. | |
| - **A5 Hadamard rotation** before Q/K/V: rotate activations by a fixed ±1 Hadamard | |
| matrix (fast Walsh-Hadamard transform). Outlier-reducing, natively ±1 (Hadamard is | |
| a sign matrix), cost-free at forward since FWHT is O(d log d) with ±1 ops. | |
| - **A1 learnable integer τ** for the bool-threshold attention: τ is a float shadow | |
| that is round-STE'd to the nearest integer in forward. Keeps the "all forward | |
| arithmetic is integer/±1" invariant while letting τ move continuously under grad. | |
| - **C2 5-way parallel residual**: y = sign(x + attn(x) + ffn(x) + pos_bias_A + pos_bias_B) | |
| where pos_bias_A/B are per-layer learned ±1 position-independent channel bias | |
| vectors (sign-STE of small float shadows). 5 = odd ⇒ no sum-to-zero ties. | |
| - **D3 Hamming output head (implicit)**: we already use popcount similarity as the | |
| logit; keep it unchanged. | |
| """ | |
| import math | |
| import torch | |
| import torch.nn as nn | |
| import torch.nn.functional as F | |
| from model import ( | |
| sign_ste, sign_ste_clipped, BitLinearRaw, BitLinear, BitFFN, BinaryEmbedding, | |
| ) | |
| def int_ste(x): | |
| """Round-to-nearest-int with identity backward (straight-through).""" | |
| r = torch.round(x) | |
| return x + (r - x).detach() | |
| def hadamard_transform(x): | |
| """In-place fast Walsh-Hadamard transform along last dim. Requires len power of 2. | |
| Output is not normalized (so H @ H = d·I). We absorb the 1/sqrt(d) into downstream | |
| scales — it's a fixed scalar constant, like the BitLinear's 1/sqrt(in) normalization. | |
| """ | |
| d = x.shape[-1] | |
| assert (d & (d - 1)) == 0, f"d must be power of 2, got {d}" | |
| # x shape (..., d). Reshape to (..., d) and apply butterfly. | |
| shape = x.shape | |
| x = x.reshape(-1, d).contiguous() | |
| n = d | |
| h = 1 | |
| while h < n: | |
| x = x.view(-1, n // (2 * h), 2, h) | |
| a = x[:, :, 0, :] | |
| b = x[:, :, 1, :] | |
| x = torch.stack([a + b, a - b], dim=2).view(-1, n) | |
| h *= 2 | |
| return x.view(shape) | |
| class BiAttentionV5(nn.Module): | |
| """Hadamard-rotated, learnable-integer-τ causal attention, fully ±1.""" | |
| 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 = BitLinear(d_model, d_model, binarize_input=True) | |
| self.k_proj = BitLinear(d_model, d_model, binarize_input=True) | |
| self.v_proj = BitLinear(d_model, d_model, binarize_input=True) | |
| self.o_proj = BitLinear(d_model, d_model, binarize_input=True) | |
| # A1: float shadow for τ, rounded to int in forward. | |
| self.attn_threshold_shadow = nn.Parameter(torch.zeros(n_heads)) | |
| slopes = torch.tensor([2.0 ** (i - 2) for i in range(n_heads)]) | |
| self.register_buffer('alibi_slopes', 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 forward(self, x): | |
| B, T, D = x.shape | |
| H, Dh = self.n_heads, self.head_dim | |
| # A5: Hadamard rotation BEFORE sign-binarize in projection. | |
| # Apply along last dim of x. Scale by 1/sqrt(d) to keep unit variance, | |
| # otherwise the rotated values scale up and BitLinear's own 1/sqrt(d) can't compensate. | |
| x_rot = hadamard_transform(x) / math.sqrt(D) | |
| Q = self.q_proj(x_rot).view(B, T, H, Dh).transpose(1, 2) | |
| K = self.k_proj(x_rot).view(B, T, H, Dh).transpose(1, 2) | |
| V = self.v_proj(x_rot).view(B, T, H, Dh).transpose(1, 2) | |
| scores = torch.matmul(Q, K.transpose(-2, -1)) / math.sqrt(Dh) | |
| pos = torch.arange(T, device=x.device).float() | |
| dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs() | |
| alibi_bias = self.alibi_slopes.view(1, H, 1, 1) * dist.view(1, 1, T, T) / math.sqrt(Dh) | |
| scores = scores - alibi_bias | |
| mask = self._get_mask(T, x.device) | |
| scores = scores.masked_fill(mask, -1e9) | |
| # A1: integer τ (rounded shadow), per head. | |
| tau_int = int_ste(self.attn_threshold_shadow).view(1, H, 1, 1) | |
| A = sign_ste_clipped(scores - tau_int) | |
| A = A.masked_fill(mask, -1.0) | |
| O = torch.matmul(A, V) | |
| O = O.transpose(1, 2).contiguous().view(B, T, D) | |
| return self.o_proj(O) | |
| class BitBlockV5(nn.Module): | |
| """C2 5-way parallel residual: x + attn(x) + ffn(x) + bias_A + bias_B. | |
| bias_A, bias_B are per-layer learned ±1 vectors (T-independent) — same value | |
| broadcast over the sequence axis. 5 odd terms ⇒ no sum-to-zero, no tie-break bias. | |
| """ | |
| def __init__(self, d_model, n_heads, d_ff): | |
| super().__init__() | |
| self.attn = BiAttentionV5(d_model, n_heads) | |
| self.ffn = BitFFN(d_model, d_ff) | |
| # Two learnable ±1 per-channel biases, sign-STE of float shadows. | |
| self.bias_a = nn.Parameter(torch.randn(d_model) * 0.02) | |
| self.bias_b = nn.Parameter(torch.randn(d_model) * 0.02) | |
| def forward(self, x): | |
| a = self.attn(x) | |
| f = self.ffn(x) | |
| ba = sign_ste(self.bias_a).view(1, 1, -1) | |
| bb = sign_ste(self.bias_b).view(1, 1, -1) | |
| return sign_ste(x + a + f + ba + bb) | |
| class BitLMv5(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__() | |
| assert (d_model & (d_model - 1)) == 0, "v5 requires d_model power of 2 for Hadamard" | |
| self.vocab_size = vocab_size | |
| self.d_model = d_model | |
| self.n_layers = n_layers | |
| self.max_seq_len = max_seq_len | |
| self.embed = BinaryEmbedding(vocab_size, d_model) | |
| self.blocks = nn.ModuleList([ | |
| BitBlockV5(d_model, n_heads, d_ff) 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 | |
| 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__': | |
| m = BitLMv5() | |
| n = sum(p.numel() for p in m.parameters()) | |
| print(f"v5 params: {n:,} ({n/1e6:.2f}M)") | |
| x = torch.randint(0, 128, (2, 64)) | |
| y = torch.randint(0, 128, (2, 64)) | |
| logits, loss = m(x, y) | |
| print("logits:", logits.shape, "loss:", loss.item()) | |
| loss.backward() | |
| print("backward OK") | |
| # sanity check hadamard | |
| x = torch.randn(3, 256) | |
| x_h = hadamard_transform(x) | |
| x_hh = hadamard_transform(x_h) # should be d·x | |
| assert torch.allclose(x_hh, 256 * x, atol=1e-4), "Hadamard self-inverse check failed" | |
| print("Hadamard self-inverse ok") | |