| """v22: Track III.C — multi-bit integer FFN accumulator. |
| |
| Architecture: |
| v18 FFN: x(±1) → gate,up (±1) → XNOR → down (±1) → sign → ±1 |
| v22 FFN: x(±1) → up_raw (integer popcount) → CLIP[-B,+B] → down (±1 weights × small int) → sign → ±1 |
| |
| The hidden FFN activation is a small signed integer (3 bits for B=7, 4 for B=15) |
| instead of 1 bit. The down-projection becomes a signed-integer adder tree: |
| z_i = Σ_j (W_down[i,j] ∈ {±1}) · (y_j ∈ [−B, +B]) |
| which is still strictly integer arithmetic — conditionally negate y_j, sum. |
| No float multiply anywhere. Hardware cost: adder width grows from 0 (popcount) |
| to log₂(d_ff · B). For d_ff=512, B=7: 13-bit INT adder tree of depth 9. |
| |
| Per ParetoQ / BitNet a4.8: this is the single highest-impact change for closing |
| the FP32 gap under strict ±1 weights. Expected 0.20-0.35 BPC drop at equal params. |
| |
| Inference path: |
| - All weights still 1-bit ±1 |
| - Intermediate FFN activation is 3-bit signed int (B=7 fits in 4 bits incl. sign) |
| - All other activations still ±1 |
| - No float on the hot path |
| """ |
| import math |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
| from model import sign_ste, sign_ste_clipped, BitLinear, BinaryEmbedding |
| from model_v18 import IntBinaryAttention |
| from model_v16 import set_gumbel_tau |
|
|
|
|
| class IntFFN(nn.Module): |
| """Gated FFN (SwiGLU analog) with clipped-integer `up` activation. |
| |
| Forward: |
| g = sign(popcount(W_gate @ x)) in ±1 (unchanged from v18) |
| u_int = clip(popcount(W_up @ x) * scale, -B, +B) # small signed integer |
| h = g * u_int # ±B range, gated by ±1 |
| z = sign(popcount-with-integer(W_down @ h)) in ±1 |
| """ |
| def __init__(self, d_model, d_ff, B=7): |
| super().__init__() |
| self.d_model = d_model |
| self.d_ff = d_ff |
| self.B = B |
| |
| self.gate = BitLinear(d_model, d_ff, binarize_input=True) |
| |
| self.up_w = nn.Parameter(torch.randn(d_ff, d_model) * 0.02) |
| self.up_shift = nn.Parameter(torch.zeros(d_ff)) |
| self.up_scale = nn.Parameter(torch.tensor(1.0 / math.sqrt(d_model))) |
| |
| self.down_w = nn.Parameter(torch.randn(d_model, d_ff) * 0.02) |
| self.down_threshold = nn.Parameter(torch.zeros(d_model)) |
|
|
| def forward(self, x): |
| |
| g = self.gate(x) |
|
|
| W_up = sign_ste(self.up_w) |
| x_bin = sign_ste_clipped(x) |
| up_raw = F.linear(x_bin, W_up) |
| up_scaled = up_raw * self.up_scale - self.up_shift |
| up_clipped = torch.clamp(up_scaled, -self.B, self.B) |
| up_int = up_scaled + (up_clipped - up_scaled).detach() |
|
|
| |
| h = g * up_int |
|
|
| |
| W_down = sign_ste(self.down_w) |
| down_raw = F.linear(h, W_down) |
| |
| scale = 1.0 / math.sqrt(self.d_ff * max(self.B, 1)) |
| down_final = down_raw * scale - self.down_threshold |
| return sign_ste_clipped(down_final) |
|
|
|
|
| class BitBlockV22(nn.Module): |
| def __init__(self, d_model, n_heads, d_ff, B=7): |
| super().__init__() |
| self.attn = IntBinaryAttention(d_model, n_heads) |
| self.ffn = IntFFN(d_model, d_ff, B=B) |
|
|
| def forward(self, x): |
| a = self.attn(x) |
| f = self.ffn(x) |
| return sign_ste(x + a + f) |
|
|
|
|
| class BitLMv22(nn.Module): |
| def __init__(self, vocab_size=128, d_model=256, n_layers=8, n_heads=8, d_ff=512, |
| max_seq_len=256, B=7): |
| 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.B = B |
| self.embed = BinaryEmbedding(vocab_size, d_model) |
| self.blocks = nn.ModuleList([ |
| BitBlockV22(d_model, n_heads, d_ff, B=B) 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__': |
| set_gumbel_tau(0.5) |
| for B in [3, 7, 15]: |
| m = BitLMv22(B=B) |
| n = sum(p.numel() for p in m.parameters()) |
| print(f'v22 B={B}: {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') |
|
|