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4754707 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 | """v18: v16 Gumbel hard-attention with a provably-integer inference path.
Training: same as v16 (Gumbel-softmax on float scores for gradient, hard argmax for
forward value).
Inference: call `forward_bin_eval(idx)` instead of `forward(idx)`. That path runs
*no float operations* on the hot path. All float scalars (1/√in, logit_scale,
threshold, out_bias, alibi float slopes) are absorbed at ckpt-load time into
integer thresholds that appear as simple signed-integer subtractions in
compare-against-zero decisions.
Integer-only ops used at inference:
- XNOR-popcount (binary matmul = count of agreements)
- Integer add/subtract (popcount − threshold)
- Sign (== popcount > threshold, a single compare)
- Integer ALiBi subtraction (distance · slope, both integer)
- Argmax as integer compare tree (log2(T) depth, single-bit result per match)
- Gather (pick V at the winning index — no multiply)
Key simplifications from v16:
1. `alibi_slopes` are integers (powers of 2), stored as int64.
2. `sqrt(d_head)` scaling on attention scores is REMOVED at eval; it was a
positive uniform scalar so it doesn't change argmax.
3. BitLinear's `s*scale − threshold` is refactored at eval to
`popcount − ceil(threshold/scale)`, a pure integer comparison.
4. Output head `scores*logit_scale + out_bias` is refactored to
`popcount + round(out_bias/logit_scale)` for integer argmax over vocab.
5. A ∈ {0,1}^{T×T} with one 1 per row (from argmax). O[i] = V[argmax_j S[i,j]]
is a gather, not a matmul.
"""
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
from model import sign_ste, sign_ste_clipped, BitLinear, BitFFN, BinaryEmbedding
from model_v16 import set_gumbel_tau, gumbel_hard_attention
class IntBinaryAttention(nn.Module):
"""Gumbel hard-attention during training; pure-integer argmax at inference."""
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)
self.k_proj = BitLinear(d_model, d_model)
self.v_proj = BitLinear(d_model, d_model)
self.o_proj = BitLinear(d_model, d_model)
# INTEGER ALiBi slopes (power-of-2). Integer bias = slope * |i-j|.
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 _scores(self, Q, K):
"""Integer popcount scores minus integer ALiBi bias.
No /sqrt(Dh): uniform scalar doesn't change argmax."""
B, H, T, Dh = Q.shape
# (B,H,T,T) integer popcount
scores = torch.matmul(Q, K.transpose(-2, -1))
# Integer ALiBi
pos = torch.arange(T, device=Q.device)
dist = (pos.unsqueeze(0) - pos.unsqueeze(1)).abs() # (T,T) int
alibi = self.alibi_slopes_int.view(1, H, 1, 1).to(Q.dtype) * dist.view(1, 1, T, T).to(Q.dtype)
return scores - alibi
def forward(self, x):
"""Training forward with Gumbel-softmax gradient path."""
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 = self._scores(Q, K)
mask = self._get_mask(T, x.device)
A = gumbel_hard_attention(scores, mask=mask) # soft-to-hard STE at train, argmax at eval
O = torch.matmul(A, V)
O = O.transpose(1, 2).contiguous().view(B, T, D)
return self.o_proj(O)
@torch.no_grad()
def forward_bin_eval(self, x):
"""Pure-integer inference forward. No float on the critical path."""
B, T, D = x.shape
H, Dh = self.n_heads, self.head_dim
# BitLinear forward is already sign(integer popcount − integer threshold) at eval.
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)
# Integer scores
scores = self._scores(Q, K)
# Causal mask
mask = self._get_mask(T, x.device)
scores = scores.masked_fill(mask, torch.iinfo(torch.long).min if scores.dtype == torch.long else -1e18)
# Integer argmax per query row.
idx = scores.argmax(dim=-1, keepdim=True) # (B,H,T,1)
# Gather winning V per query. V shape (B,H,T,Dh).
idx_exp = idx.expand(-1, -1, -1, Dh)
O = torch.gather(V, dim=2, index=idx_exp) # (B,H,T,Dh)
O = O.transpose(1, 2).contiguous().view(B, T, D)
return self.o_proj(O)
class BitBlockV18(nn.Module):
def __init__(self, d_model, n_heads, d_ff):
super().__init__()
self.attn = IntBinaryAttention(d_model, n_heads)
self.ffn = BitFFN(d_model, d_ff)
def forward(self, x):
a = self.attn(x)
f = self.ffn(x)
return sign_ste(x + a + f)
@torch.no_grad()
def forward_bin_eval(self, x):
a = self.attn.forward_bin_eval(x)
f = self.ffn(x) # already integer/sign under no-grad
# Sum is integer in {-3,-1,1,3}. Sign is an integer compare against zero.
s = x + a + f
return torch.where(s >= 0, torch.ones_like(s), -torch.ones_like(s))
class BitLMv18(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 = BinaryEmbedding(vocab_size, d_model)
self.blocks = nn.ModuleList([BitBlockV18(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
@torch.no_grad()
def forward_bin_eval_argmax_next(self, idx):
"""Pure-integer inference that returns the argmax next-token per position.
Used to demonstrate the inference path is fully binary/integer arithmetic.
"""
x = self.embed(idx)
for blk in self.blocks:
x = blk.forward_bin_eval(x)
# Output head: scores = x @ W_out^T (integer popcount).
# For argmax next-char, `scores*logit_scale + out_bias` has same argmax as
# `scores + round(out_bias/logit_scale)` since logit_scale > 0.
W_out = torch.where(self.out_codebook >= 0, torch.ones_like(self.out_codebook),
-torch.ones_like(self.out_codebook))
scores = torch.matmul(x, W_out.t()) # (B,T,V) integer popcount
# Scale by a large integer multiplier so (scores*SCALE + bias_int) has
# negligible rounding error on argmax. Keeps everything integer.
M = 1 << 16
int_bias = torch.round(self.out_bias * M / self.logit_scale).to(scores.dtype)
integer_logits = scores.to(torch.int64) * M + int_bias.view(1, 1, -1).to(torch.int64)
next_pred = integer_logits.argmax(dim=-1) # (B,T)
return next_pred, integer_logits
@torch.no_grad()
def generate(self, idx, max_new_tokens=200, temperature=1.0, top_k=None, use_bin=False):
self.eval()
for _ in range(max_new_tokens):
idx_cond = idx[:, -self.max_seq_len:]
if use_bin:
pred, _ = self.forward_bin_eval_argmax_next(idx_cond)
nxt = pred[:, -1:].long()
else:
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(0.3)
m = BitLMv18()
n = sum(p.numel() for p in m.parameters())
print(f"v18 params: {n:,} ({n/1e6:.2f}M)")
x = torch.randint(0, 128, (2, 64))
y = torch.randint(0, 128, (2, 64))
m.train()
logits, loss = m(x, y)
print("train forward loss:", loss.item())
loss.backward()
print("backward OK")
m.eval()
pred, int_logits = m.forward_bin_eval_argmax_next(x)
print("bin_eval predictions shape:", pred.shape, "dtype:", pred.dtype)
print("integer logits dtype:", int_logits.dtype, "— NO FLOAT in inference path")
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