Add experiments/n_flex.py
Browse files- experiments/n_flex.py +665 -0
experiments/n_flex.py
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|
| 1 |
+
#!/usr/bin/env python3
|
| 2 |
+
"""
|
| 3 |
+
n_flex.py — Flexible Attention Mechanisms
|
| 4 |
+
Constraint: Must support AR (causal), SAT (block), and NAR (bidirectional)
|
| 5 |
+
|
| 6 |
+
Testing:
|
| 7 |
+
1. Linear Attention - O(n) instead of O(n²)
|
| 8 |
+
2. Cosine Attention - Different similarity metric
|
| 9 |
+
3. Differential Attention - Noise cancellation (Microsoft 2024)
|
| 10 |
+
4. Local + Global - Sparse hybrid
|
| 11 |
+
5. Multi-Query Attention (MQA) - Inference efficient
|
| 12 |
+
6. Grouped Query Attention (GQA) - Between MHA and MQA
|
| 13 |
+
7. Retention - RetNet style (recurrent + parallel)
|
| 14 |
+
8. Gated Linear Attention - Recent efficient attention
|
| 15 |
+
9. ReLU Attention - Simpler activation
|
| 16 |
+
10. Sigmoid Attention - Bounded attention
|
| 17 |
+
"""
|
| 18 |
+
|
| 19 |
+
from __future__ import annotations
|
| 20 |
+
import argparse, math, time
|
| 21 |
+
import torch
|
| 22 |
+
import torch.nn as nn
|
| 23 |
+
import torch.nn.functional as F
|
| 24 |
+
from typing import Optional, Literal
|
| 25 |
+
|
| 26 |
+
DEV = torch.device("cuda" if torch.cuda.is_available() else "cpu")
|
| 27 |
+
torch.backends.cuda.matmul.allow_tf32 = True
|
| 28 |
+
VOCAB = 128256
|
| 29 |
+
|
| 30 |
+
# ═══════════════════════════════════════════════════════════════
|
| 31 |
+
# Masking utilities for AR/SAT/NAR
|
| 32 |
+
# ═══════════════════════════════════════════════════════════════
|
| 33 |
+
def get_mask(n: int, mode: str = "ar", block_size: int = 2):
|
| 34 |
+
"""
|
| 35 |
+
AR (autoregressive): causal, see only past
|
| 36 |
+
SAT (semi-autoregressive): see within block + all past blocks
|
| 37 |
+
NAR (non-autoregressive): bidirectional, see everything
|
| 38 |
+
"""
|
| 39 |
+
if mode == "nar":
|
| 40 |
+
return None # No mask
|
| 41 |
+
elif mode == "ar":
|
| 42 |
+
return torch.triu(torch.full((n, n), float("-inf"), device=DEV), 1)
|
| 43 |
+
elif mode == "sat":
|
| 44 |
+
# Block-wise: can see within same block and all previous blocks
|
| 45 |
+
idx = torch.arange(n, device=DEV)
|
| 46 |
+
block_idx = idx // block_size
|
| 47 |
+
# Allow if same block OR target block is earlier
|
| 48 |
+
mask = torch.where(
|
| 49 |
+
(block_idx.unsqueeze(0) <= block_idx.unsqueeze(1)),
|
| 50 |
+
torch.tensor(0.0, device=DEV),
|
| 51 |
+
torch.tensor(float("-inf"), device=DEV)
|
| 52 |
+
)
|
| 53 |
+
return mask
|
| 54 |
+
else:
|
| 55 |
+
raise ValueError(f"Unknown mode: {mode}")
|
| 56 |
+
|
| 57 |
+
|
| 58 |
+
def alibi_bias(n_heads: int, n_tokens: int):
|
| 59 |
+
def slopes(n):
|
| 60 |
+
start = 2 ** (-2 ** -(math.log2(n) - 3))
|
| 61 |
+
return [start * (start ** i) for i in range(n)]
|
| 62 |
+
if n_heads > 0 and math.log2(n_heads).is_integer():
|
| 63 |
+
s = slopes(n_heads)
|
| 64 |
+
else:
|
| 65 |
+
closest = 2 ** math.floor(math.log2(max(1, n_heads)))
|
| 66 |
+
s = slopes(closest)[:n_heads]
|
| 67 |
+
s = torch.tensor(s, device=DEV).view(1, n_heads, 1, 1)
|
| 68 |
+
i = torch.arange(n_tokens, device=DEV).view(1, 1, n_tokens, 1)
|
| 69 |
+
j = torch.arange(n_tokens, device=DEV).view(1, 1, 1, n_tokens)
|
| 70 |
+
return -s * (j - i).clamp_min(0).float()
|
| 71 |
+
|
| 72 |
+
|
| 73 |
+
# ═══════════════════════════════════════════════════════════════
|
| 74 |
+
# 1. STANDARD (baseline)
|
| 75 |
+
# ═══════════════════════════════════════════════════════════════
|
| 76 |
+
class StandardAttention(nn.Module):
|
| 77 |
+
"""Standard multi-head attention - O(n²)"""
|
| 78 |
+
def __init__(self, d: int, h: int):
|
| 79 |
+
super().__init__()
|
| 80 |
+
self.h, self.dk = h, d // h
|
| 81 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 82 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 83 |
+
|
| 84 |
+
def forward(self, x, mask=None):
|
| 85 |
+
B, N, _ = x.shape
|
| 86 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 87 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 88 |
+
|
| 89 |
+
att = (q @ k.transpose(-1, -2)) / math.sqrt(self.dk)
|
| 90 |
+
att = att + alibi_bias(self.h, N)
|
| 91 |
+
if mask is not None:
|
| 92 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 93 |
+
|
| 94 |
+
z = (att.softmax(-1) @ v).transpose(1, 2).reshape(B, N, -1)
|
| 95 |
+
return self.proj(z)
|
| 96 |
+
|
| 97 |
+
|
| 98 |
+
# ═══════════════════════════════════════════════════════════════
|
| 99 |
+
# 2. LINEAR ATTENTION - O(n) via kernel trick
|
| 100 |
+
# ═══════════════════════════════════════════════════════════════
|
| 101 |
+
class LinearAttention(nn.Module):
|
| 102 |
+
"""
|
| 103 |
+
Linear attention: O(n) instead of O(n²)
|
| 104 |
+
Uses feature map φ(x) so that φ(q)φ(k)^T ≈ softmax(qk^T)
|
| 105 |
+
|
| 106 |
+
Key insight: (QK^T)V = Q(K^TV) - compute K^TV first for O(n)
|
| 107 |
+
|
| 108 |
+
Works with AR/SAT/NAR via cumsum tricks for causal
|
| 109 |
+
"""
|
| 110 |
+
def __init__(self, d: int, h: int, feature_map: str = "elu"):
|
| 111 |
+
super().__init__()
|
| 112 |
+
self.h, self.dk = h, d // h
|
| 113 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 114 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 115 |
+
self.feature_map = feature_map
|
| 116 |
+
self.eps = 1e-6
|
| 117 |
+
|
| 118 |
+
def _phi(self, x):
|
| 119 |
+
"""Feature map for linear attention"""
|
| 120 |
+
if self.feature_map == "elu":
|
| 121 |
+
return F.elu(x) + 1
|
| 122 |
+
elif self.feature_map == "relu":
|
| 123 |
+
return F.relu(x)
|
| 124 |
+
elif self.feature_map == "softmax":
|
| 125 |
+
return F.softmax(x, dim=-1)
|
| 126 |
+
else: # identity
|
| 127 |
+
return x
|
| 128 |
+
|
| 129 |
+
def forward(self, x, mask=None):
|
| 130 |
+
B, N, _ = x.shape
|
| 131 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 132 |
+
q, k, v = qkv[0], qkv[1], qkv[2] # (B, H, N, dk)
|
| 133 |
+
|
| 134 |
+
# Apply feature map
|
| 135 |
+
q = self._phi(q)
|
| 136 |
+
k = self._phi(k)
|
| 137 |
+
|
| 138 |
+
if mask is None:
|
| 139 |
+
# NAR: Full bidirectional - O(n) via associativity
|
| 140 |
+
# (Q @ K^T) @ V = Q @ (K^T @ V)
|
| 141 |
+
kv = torch.einsum('bhnd,bhnv->bhdv', k, v) # (B, H, dk, dv)
|
| 142 |
+
out = torch.einsum('bhnd,bhdv->bhnv', q, kv) # (B, H, N, dv)
|
| 143 |
+
|
| 144 |
+
# Normalize
|
| 145 |
+
k_sum = k.sum(dim=2, keepdim=True) # (B, H, 1, dk)
|
| 146 |
+
normalizer = torch.einsum('bhnd,bhkd->bhnk', q, k_sum).clamp(min=self.eps)
|
| 147 |
+
out = out / normalizer
|
| 148 |
+
else:
|
| 149 |
+
# AR/SAT: Causal via cumulative sum
|
| 150 |
+
# This is still O(n) but needs sequential computation
|
| 151 |
+
kv_cumsum = torch.cumsum(torch.einsum('bhnd,bhnv->bhndv', k, v), dim=2)
|
| 152 |
+
k_cumsum = torch.cumsum(k, dim=2)
|
| 153 |
+
|
| 154 |
+
out = torch.einsum('bhnd,bhndv->bhnv', q, kv_cumsum)
|
| 155 |
+
normalizer = torch.einsum('bhnd,bhnd->bhn', q, k_cumsum).unsqueeze(-1).clamp(min=self.eps)
|
| 156 |
+
out = out / normalizer
|
| 157 |
+
|
| 158 |
+
return self.proj(out.transpose(1, 2).reshape(B, N, -1))
|
| 159 |
+
|
| 160 |
+
|
| 161 |
+
# ═══════════════════════════════════════════════════════════════
|
| 162 |
+
# 3. COSINE ATTENTION - Different similarity metric
|
| 163 |
+
# ═══════════════════════════════════════════════════════════════
|
| 164 |
+
class CosineAttention(nn.Module):
|
| 165 |
+
"""
|
| 166 |
+
Use cosine similarity instead of dot product.
|
| 167 |
+
More stable, bounded [-1, 1] before scaling.
|
| 168 |
+
"""
|
| 169 |
+
def __init__(self, d: int, h: int, temp: float = 10.0):
|
| 170 |
+
super().__init__()
|
| 171 |
+
self.h, self.dk = h, d // h
|
| 172 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 173 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 174 |
+
self.temp = nn.Parameter(torch.tensor(temp))
|
| 175 |
+
|
| 176 |
+
def forward(self, x, mask=None):
|
| 177 |
+
B, N, _ = x.shape
|
| 178 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 179 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 180 |
+
|
| 181 |
+
# Normalize for cosine similarity
|
| 182 |
+
q = F.normalize(q, dim=-1)
|
| 183 |
+
k = F.normalize(k, dim=-1)
|
| 184 |
+
|
| 185 |
+
att = self.temp * (q @ k.transpose(-1, -2)) # Cosine sim scaled by temp
|
| 186 |
+
if mask is not None:
|
| 187 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 188 |
+
|
| 189 |
+
z = (att.softmax(-1) @ v).transpose(1, 2).reshape(B, N, -1)
|
| 190 |
+
return self.proj(z)
|
| 191 |
+
|
| 192 |
+
|
| 193 |
+
# ═══════════════════════════════════════════════════════════════
|
| 194 |
+
# 4. DIFFERENTIAL ATTENTION - Noise cancellation
|
| 195 |
+
# ═══════════════════════════════════════════════════════════════
|
| 196 |
+
class DifferentialAttention(nn.Module):
|
| 197 |
+
"""
|
| 198 |
+
From Microsoft's "Differential Transformer" (2024)
|
| 199 |
+
|
| 200 |
+
Compute two attention patterns and subtract:
|
| 201 |
+
Attn = softmax(Q1 K1^T) - λ * softmax(Q2 K2^T)
|
| 202 |
+
|
| 203 |
+
Cancels noise, improves signal.
|
| 204 |
+
"""
|
| 205 |
+
def __init__(self, d: int, h: int):
|
| 206 |
+
super().__init__()
|
| 207 |
+
self.h, self.dk = h, d // h
|
| 208 |
+
|
| 209 |
+
# Two sets of Q, K projections
|
| 210 |
+
self.q1 = nn.Linear(d, d, bias=False)
|
| 211 |
+
self.k1 = nn.Linear(d, d, bias=False)
|
| 212 |
+
self.q2 = nn.Linear(d, d, bias=False)
|
| 213 |
+
self.k2 = nn.Linear(d, d, bias=False)
|
| 214 |
+
self.v = nn.Linear(d, d, bias=False)
|
| 215 |
+
|
| 216 |
+
# Learnable lambda for subtraction weight
|
| 217 |
+
self.lambda_param = nn.Parameter(torch.tensor(0.5))
|
| 218 |
+
|
| 219 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 220 |
+
|
| 221 |
+
def forward(self, x, mask=None):
|
| 222 |
+
B, N, _ = x.shape
|
| 223 |
+
|
| 224 |
+
q1 = self.q1(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 225 |
+
k1 = self.k1(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 226 |
+
q2 = self.q2(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 227 |
+
k2 = self.k2(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 228 |
+
v = self.v(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 229 |
+
|
| 230 |
+
scale = math.sqrt(self.dk)
|
| 231 |
+
|
| 232 |
+
# First attention
|
| 233 |
+
att1 = (q1 @ k1.transpose(-1, -2)) / scale
|
| 234 |
+
if mask is not None:
|
| 235 |
+
att1 = att1 + mask.unsqueeze(0).unsqueeze(0)
|
| 236 |
+
att1 = att1.softmax(-1)
|
| 237 |
+
|
| 238 |
+
# Second attention
|
| 239 |
+
att2 = (q2 @ k2.transpose(-1, -2)) / scale
|
| 240 |
+
if mask is not None:
|
| 241 |
+
att2 = att2 + mask.unsqueeze(0).unsqueeze(0)
|
| 242 |
+
att2 = att2.softmax(-1)
|
| 243 |
+
|
| 244 |
+
# Differential: subtract weighted second from first
|
| 245 |
+
lam = torch.sigmoid(self.lambda_param)
|
| 246 |
+
att = att1 - lam * att2
|
| 247 |
+
|
| 248 |
+
# ReLU to ensure non-negative (optional, can remove)
|
| 249 |
+
att = F.relu(att)
|
| 250 |
+
att = att / (att.sum(dim=-1, keepdim=True) + 1e-6)
|
| 251 |
+
|
| 252 |
+
z = (att @ v).transpose(1, 2).reshape(B, N, -1)
|
| 253 |
+
return self.proj(z)
|
| 254 |
+
|
| 255 |
+
|
| 256 |
+
# ═══════════════════════════════════════════════════════════════
|
| 257 |
+
# 5. MULTI-QUERY ATTENTION (MQA) - Inference efficient
|
| 258 |
+
# ═══════════════════════════════════════════════════════════════
|
| 259 |
+
class MultiQueryAttention(nn.Module):
|
| 260 |
+
"""
|
| 261 |
+
MQA: Multiple query heads, single K/V head.
|
| 262 |
+
Massive inference speedup (smaller KV cache).
|
| 263 |
+
Same training cost as standard.
|
| 264 |
+
"""
|
| 265 |
+
def __init__(self, d: int, h: int):
|
| 266 |
+
super().__init__()
|
| 267 |
+
self.h, self.dk = h, d // h
|
| 268 |
+
|
| 269 |
+
# H query heads, but only 1 K and 1 V head
|
| 270 |
+
self.q = nn.Linear(d, d, bias=False) # H heads
|
| 271 |
+
self.k = nn.Linear(d, self.dk, bias=False) # 1 head
|
| 272 |
+
self.v = nn.Linear(d, self.dk, bias=False) # 1 head
|
| 273 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 274 |
+
|
| 275 |
+
def forward(self, x, mask=None):
|
| 276 |
+
B, N, _ = x.shape
|
| 277 |
+
|
| 278 |
+
q = self.q(x).view(B, N, self.h, self.dk).transpose(1, 2) # (B, H, N, dk)
|
| 279 |
+
k = self.k(x).view(B, N, 1, self.dk).transpose(1, 2) # (B, 1, N, dk)
|
| 280 |
+
v = self.v(x).view(B, N, 1, self.dk).transpose(1, 2) # (B, 1, N, dk)
|
| 281 |
+
|
| 282 |
+
# K, V broadcast across heads
|
| 283 |
+
att = (q @ k.transpose(-1, -2)) / math.sqrt(self.dk)
|
| 284 |
+
att = att + alibi_bias(self.h, N)
|
| 285 |
+
if mask is not None:
|
| 286 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 287 |
+
|
| 288 |
+
z = (att.softmax(-1) @ v).transpose(1, 2).reshape(B, N, -1)
|
| 289 |
+
return self.proj(z)
|
| 290 |
+
|
| 291 |
+
|
| 292 |
+
# ═══════════════════════════════════════════════════════════════
|
| 293 |
+
# 6. GROUPED QUERY ATTENTION (GQA) - Between MHA and MQA
|
| 294 |
+
# ═══════════════════════════════════════════════════════════════
|
| 295 |
+
class GroupedQueryAttention(nn.Module):
|
| 296 |
+
"""
|
| 297 |
+
GQA: Groups of query heads share K/V heads.
|
| 298 |
+
Llama 2 uses this. Balance between quality and inference speed.
|
| 299 |
+
"""
|
| 300 |
+
def __init__(self, d: int, h: int, num_kv_heads: int = 2):
|
| 301 |
+
super().__init__()
|
| 302 |
+
self.h = h
|
| 303 |
+
self.num_kv_heads = num_kv_heads
|
| 304 |
+
self.dk = d // h
|
| 305 |
+
self.heads_per_group = h // num_kv_heads
|
| 306 |
+
|
| 307 |
+
self.q = nn.Linear(d, d, bias=False)
|
| 308 |
+
self.k = nn.Linear(d, num_kv_heads * self.dk, bias=False)
|
| 309 |
+
self.v = nn.Linear(d, num_kv_heads * self.dk, bias=False)
|
| 310 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 311 |
+
|
| 312 |
+
def forward(self, x, mask=None):
|
| 313 |
+
B, N, _ = x.shape
|
| 314 |
+
|
| 315 |
+
q = self.q(x).view(B, N, self.h, self.dk).transpose(1, 2)
|
| 316 |
+
k = self.k(x).view(B, N, self.num_kv_heads, self.dk).transpose(1, 2)
|
| 317 |
+
v = self.v(x).view(B, N, self.num_kv_heads, self.dk).transpose(1, 2)
|
| 318 |
+
|
| 319 |
+
# Repeat K, V for each group
|
| 320 |
+
k = k.repeat_interleave(self.heads_per_group, dim=1)
|
| 321 |
+
v = v.repeat_interleave(self.heads_per_group, dim=1)
|
| 322 |
+
|
| 323 |
+
att = (q @ k.transpose(-1, -2)) / math.sqrt(self.dk)
|
| 324 |
+
att = att + alibi_bias(self.h, N)
|
| 325 |
+
if mask is not None:
|
| 326 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 327 |
+
|
| 328 |
+
z = (att.softmax(-1) @ v).transpose(1, 2).reshape(B, N, -1)
|
| 329 |
+
return self.proj(z)
|
| 330 |
+
|
| 331 |
+
|
| 332 |
+
# ═══════════════════════════════════════════════════════════════
|
| 333 |
+
# 7. RETENTION - RetNet style
|
| 334 |
+
# ═══════════════════════════════════════════════════════════════
|
| 335 |
+
class RetentionAttention(nn.Module):
|
| 336 |
+
"""
|
| 337 |
+
From RetNet: Retentive Network
|
| 338 |
+
|
| 339 |
+
Parallel mode (training): Like linear attention
|
| 340 |
+
Recurrent mode (inference): O(1) per step
|
| 341 |
+
|
| 342 |
+
Key: exponential decay instead of softmax
|
| 343 |
+
"""
|
| 344 |
+
def __init__(self, d: int, h: int, gamma: float = 0.9):
|
| 345 |
+
super().__init__()
|
| 346 |
+
self.h, self.dk = h, d // h
|
| 347 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 348 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 349 |
+
|
| 350 |
+
# Per-head decay rates
|
| 351 |
+
self.gamma = nn.Parameter(torch.ones(h) * gamma)
|
| 352 |
+
|
| 353 |
+
def forward(self, x, mask=None):
|
| 354 |
+
B, N, _ = x.shape
|
| 355 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 356 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 357 |
+
|
| 358 |
+
# Build decay matrix D[i,j] = gamma^(i-j) for i >= j
|
| 359 |
+
gamma = torch.sigmoid(self.gamma).view(1, self.h, 1, 1)
|
| 360 |
+
positions = torch.arange(N, device=x.device).float()
|
| 361 |
+
decay = gamma ** (positions.unsqueeze(0) - positions.unsqueeze(1)).clamp(min=0)
|
| 362 |
+
|
| 363 |
+
# Apply causal mask via decay (future positions get 0)
|
| 364 |
+
causal = torch.tril(torch.ones(N, N, device=x.device))
|
| 365 |
+
decay = decay * causal.unsqueeze(0).unsqueeze(0)
|
| 366 |
+
|
| 367 |
+
# If SAT/NAR mask provided, incorporate it
|
| 368 |
+
if mask is not None:
|
| 369 |
+
mask_binary = (mask == 0).float().unsqueeze(0).unsqueeze(0)
|
| 370 |
+
decay = decay * mask_binary
|
| 371 |
+
|
| 372 |
+
# Retention = (Q @ K^T) * D @ V
|
| 373 |
+
att = (q @ k.transpose(-1, -2)) * decay
|
| 374 |
+
|
| 375 |
+
# Normalize per row
|
| 376 |
+
att = att / (att.sum(dim=-1, keepdim=True) + 1e-6)
|
| 377 |
+
|
| 378 |
+
z = (att @ v).transpose(1, 2).reshape(B, N, -1)
|
| 379 |
+
return self.proj(z)
|
| 380 |
+
|
| 381 |
+
|
| 382 |
+
# ═══════════════════════════════════════════════════════════════
|
| 383 |
+
# 8. GATED LINEAR ATTENTION
|
| 384 |
+
# ═══════════════════════════════════════════════════════════════
|
| 385 |
+
class GatedLinearAttention(nn.Module):
|
| 386 |
+
"""
|
| 387 |
+
Linear attention with gating for better gradient flow.
|
| 388 |
+
From "Gated Linear Attention Transformers" (2024)
|
| 389 |
+
"""
|
| 390 |
+
def __init__(self, d: int, h: int):
|
| 391 |
+
super().__init__()
|
| 392 |
+
self.h, self.dk = h, d // h
|
| 393 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 394 |
+
self.gate = nn.Linear(d, d)
|
| 395 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 396 |
+
self.eps = 1e-6
|
| 397 |
+
|
| 398 |
+
def forward(self, x, mask=None):
|
| 399 |
+
B, N, _ = x.shape
|
| 400 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 401 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 402 |
+
|
| 403 |
+
# Feature map (ELU + 1 for positivity)
|
| 404 |
+
q = F.elu(q) + 1
|
| 405 |
+
k = F.elu(k) + 1
|
| 406 |
+
|
| 407 |
+
if mask is None:
|
| 408 |
+
# Bidirectional
|
| 409 |
+
kv = torch.einsum('bhnd,bhnv->bhdv', k, v)
|
| 410 |
+
out = torch.einsum('bhnd,bhdv->bhnv', q, kv)
|
| 411 |
+
normalizer = torch.einsum('bhnd,bhd->bhn', q, k.sum(dim=2)).unsqueeze(-1).clamp(min=self.eps)
|
| 412 |
+
else:
|
| 413 |
+
# Causal
|
| 414 |
+
kv_cumsum = torch.cumsum(torch.einsum('bhnd,bhnv->bhndv', k, v), dim=2)
|
| 415 |
+
k_cumsum = torch.cumsum(k, dim=2)
|
| 416 |
+
out = torch.einsum('bhnd,bhndv->bhnv', q, kv_cumsum)
|
| 417 |
+
normalizer = torch.einsum('bhnd,bhnd->bhn', q, k_cumsum).unsqueeze(-1).clamp(min=self.eps)
|
| 418 |
+
|
| 419 |
+
out = out / normalizer
|
| 420 |
+
out = out.transpose(1, 2).reshape(B, N, -1)
|
| 421 |
+
|
| 422 |
+
# Gating
|
| 423 |
+
gate = torch.sigmoid(self.gate(x))
|
| 424 |
+
out = out * gate
|
| 425 |
+
|
| 426 |
+
return self.proj(out)
|
| 427 |
+
|
| 428 |
+
|
| 429 |
+
# ═══════════════════════════════════════════════════════════════
|
| 430 |
+
# 9. RELU ATTENTION - Simpler activation
|
| 431 |
+
# ═══════════════════════════════════════════════════════════════
|
| 432 |
+
class ReLUAttention(nn.Module):
|
| 433 |
+
"""
|
| 434 |
+
Replace softmax with ReLU + normalization.
|
| 435 |
+
Simpler, faster, sometimes works as well.
|
| 436 |
+
From "ReLU Attention" papers.
|
| 437 |
+
"""
|
| 438 |
+
def __init__(self, d: int, h: int):
|
| 439 |
+
super().__init__()
|
| 440 |
+
self.h, self.dk = h, d // h
|
| 441 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 442 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 443 |
+
|
| 444 |
+
def forward(self, x, mask=None):
|
| 445 |
+
B, N, _ = x.shape
|
| 446 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 447 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 448 |
+
|
| 449 |
+
att = (q @ k.transpose(-1, -2)) / math.sqrt(self.dk)
|
| 450 |
+
att = att + alibi_bias(self.h, N)
|
| 451 |
+
|
| 452 |
+
if mask is not None:
|
| 453 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 454 |
+
|
| 455 |
+
# ReLU instead of softmax
|
| 456 |
+
att = F.relu(att)
|
| 457 |
+
att = att / (att.sum(dim=-1, keepdim=True) + 1e-6)
|
| 458 |
+
|
| 459 |
+
z = (att @ v).transpose(1, 2).reshape(B, N, -1)
|
| 460 |
+
return self.proj(z)
|
| 461 |
+
|
| 462 |
+
|
| 463 |
+
# ═══════════════════════════════════════════════════════════════
|
| 464 |
+
# 10. SIGMOID ATTENTION - Bounded
|
| 465 |
+
# ══���════════════════════════════════════════════════════════════
|
| 466 |
+
class SigmoidAttention(nn.Module):
|
| 467 |
+
"""
|
| 468 |
+
Sigmoid attention: each position independently decides attention weight.
|
| 469 |
+
Not normalized to sum to 1 - allows variable "total attention".
|
| 470 |
+
"""
|
| 471 |
+
def __init__(self, d: int, h: int):
|
| 472 |
+
super().__init__()
|
| 473 |
+
self.h, self.dk = h, d // h
|
| 474 |
+
self.qkv = nn.Linear(d, 3 * d, bias=False)
|
| 475 |
+
self.proj = nn.Linear(d, d, bias=False)
|
| 476 |
+
self.bias = nn.Parameter(torch.zeros(h, 1, 1))
|
| 477 |
+
|
| 478 |
+
def forward(self, x, mask=None):
|
| 479 |
+
B, N, _ = x.shape
|
| 480 |
+
qkv = self.qkv(x).reshape(B, N, 3, self.h, self.dk).permute(2, 0, 3, 1, 4)
|
| 481 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 482 |
+
|
| 483 |
+
att = (q @ k.transpose(-1, -2)) / math.sqrt(self.dk) + self.bias
|
| 484 |
+
|
| 485 |
+
if mask is not None:
|
| 486 |
+
att = att + mask.unsqueeze(0).unsqueeze(0)
|
| 487 |
+
|
| 488 |
+
# Sigmoid instead of softmax - each weight independent
|
| 489 |
+
att = torch.sigmoid(att)
|
| 490 |
+
|
| 491 |
+
# Optional: mask out future for AR
|
| 492 |
+
if mask is not None:
|
| 493 |
+
att = att * (mask == 0).float().unsqueeze(0).unsqueeze(0)
|
| 494 |
+
|
| 495 |
+
z = (att @ v).transpose(1, 2).reshape(B, N, -1)
|
| 496 |
+
return self.proj(z)
|
| 497 |
+
|
| 498 |
+
|
| 499 |
+
# ═══════════════════════════════════════════════════════════════
|
| 500 |
+
# Block and Model
|
| 501 |
+
# ═══════════════════════════════════════════════════════════════
|
| 502 |
+
ATTN_REGISTRY = {
|
| 503 |
+
"standard": StandardAttention,
|
| 504 |
+
"linear": LinearAttention,
|
| 505 |
+
"cosine": CosineAttention,
|
| 506 |
+
"differential": DifferentialAttention,
|
| 507 |
+
"mqa": MultiQueryAttention,
|
| 508 |
+
"gqa": GroupedQueryAttention,
|
| 509 |
+
"retention": RetentionAttention,
|
| 510 |
+
"gated_linear": GatedLinearAttention,
|
| 511 |
+
"relu": ReLUAttention,
|
| 512 |
+
"sigmoid": SigmoidAttention,
|
| 513 |
+
}
|
| 514 |
+
|
| 515 |
+
|
| 516 |
+
class Block(nn.Module):
|
| 517 |
+
def __init__(self, d: int, h: int, attn_type: str = "standard"):
|
| 518 |
+
super().__init__()
|
| 519 |
+
self.ln1, self.ln2 = nn.LayerNorm(d), nn.LayerNorm(d)
|
| 520 |
+
self.attn = ATTN_REGISTRY[attn_type](d, h)
|
| 521 |
+
self.ff = nn.Sequential(nn.Linear(d, 4*d), nn.GELU(), nn.Linear(4*d, d))
|
| 522 |
+
|
| 523 |
+
def forward(self, x, mask=None):
|
| 524 |
+
x = x + self.attn(self.ln1(x), mask)
|
| 525 |
+
return x + self.ff(self.ln2(x))
|
| 526 |
+
|
| 527 |
+
|
| 528 |
+
class FlexModel(nn.Module):
|
| 529 |
+
def __init__(self, d: int, layers: int, h: int, attn_type: str = "standard"):
|
| 530 |
+
super().__init__()
|
| 531 |
+
self.emb = nn.Embedding(VOCAB, d)
|
| 532 |
+
self.blocks = nn.ModuleList([Block(d, h, attn_type) for _ in range(layers)])
|
| 533 |
+
self.ln = nn.LayerNorm(d)
|
| 534 |
+
self.head = nn.Linear(d, VOCAB, bias=False)
|
| 535 |
+
self.head.weight = self.emb.weight
|
| 536 |
+
|
| 537 |
+
def forward(self, x, mask=None):
|
| 538 |
+
x = self.emb(x)
|
| 539 |
+
for b in self.blocks:
|
| 540 |
+
x = b(x, mask)
|
| 541 |
+
return self.head(self.ln(x))
|
| 542 |
+
|
| 543 |
+
def count_params(self):
|
| 544 |
+
return sum(p.numel() for p in self.parameters())
|
| 545 |
+
|
| 546 |
+
|
| 547 |
+
# ═══════════════════════════════════════════════════════════════
|
| 548 |
+
# Training with AR/SAT/NAR modes
|
| 549 |
+
# ═══════════════════════════════════════════════════════════════
|
| 550 |
+
def train(attn_type: str, mode: str, d: int, layers: int, h: int,
|
| 551 |
+
batch: int, seq: int, steps: int, block_size: int = 4):
|
| 552 |
+
|
| 553 |
+
print(f"\n{'='*60}")
|
| 554 |
+
print(f"ATTENTION: {attn_type.upper()} | MODE: {mode.upper()}")
|
| 555 |
+
print(f"{'='*60}")
|
| 556 |
+
|
| 557 |
+
model = FlexModel(d, layers, h, attn_type).to(DEV)
|
| 558 |
+
print(f"Parameters: {model.count_params():,}")
|
| 559 |
+
|
| 560 |
+
opt = torch.optim.AdamW(model.parameters(), lr=1e-4)
|
| 561 |
+
|
| 562 |
+
losses, times = [], []
|
| 563 |
+
|
| 564 |
+
for step in range(steps):
|
| 565 |
+
ids = torch.randint(0, VOCAB, (batch, seq), device=DEV)
|
| 566 |
+
|
| 567 |
+
if mode == "ar":
|
| 568 |
+
# Standard AR: predict next token
|
| 569 |
+
target = ids[:, 1:]
|
| 570 |
+
input_ids = ids[:, :-1]
|
| 571 |
+
mask = get_mask(seq - 1, "ar")
|
| 572 |
+
elif mode == "sat":
|
| 573 |
+
# SAT: predict within blocks
|
| 574 |
+
target = ids[:, 1:]
|
| 575 |
+
input_ids = ids[:, :-1]
|
| 576 |
+
mask = get_mask(seq - 1, "sat", block_size)
|
| 577 |
+
else: # nar
|
| 578 |
+
# NAR: predict all from [MASK] or noisy input
|
| 579 |
+
target = ids
|
| 580 |
+
# Add noise to input for NAR (simple version)
|
| 581 |
+
noise_mask = torch.rand(batch, seq, device=DEV) < 0.15
|
| 582 |
+
input_ids = ids.clone()
|
| 583 |
+
input_ids[noise_mask] = torch.randint(0, VOCAB, (noise_mask.sum().item(),), device=DEV)
|
| 584 |
+
mask = get_mask(seq, "nar")
|
| 585 |
+
|
| 586 |
+
start = time.time()
|
| 587 |
+
opt.zero_grad()
|
| 588 |
+
|
| 589 |
+
try:
|
| 590 |
+
logits = model(input_ids, mask)
|
| 591 |
+
loss = F.cross_entropy(logits.view(-1, VOCAB), target.reshape(-1))
|
| 592 |
+
loss.backward()
|
| 593 |
+
torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0)
|
| 594 |
+
opt.step()
|
| 595 |
+
except Exception as e:
|
| 596 |
+
print(f"Step {step} failed: {e}")
|
| 597 |
+
return None
|
| 598 |
+
|
| 599 |
+
elapsed = time.time() - start
|
| 600 |
+
losses.append(loss.item())
|
| 601 |
+
times.append(elapsed)
|
| 602 |
+
|
| 603 |
+
if step % 20 == 0 or step == steps - 1:
|
| 604 |
+
tok_s = batch * seq / elapsed
|
| 605 |
+
print(f"Step {step:3d} | Loss {loss.item():.4f} | {tok_s:.0f} tok/s")
|
| 606 |
+
|
| 607 |
+
avg_loss = sum(losses[-20:]) / min(20, len(losses))
|
| 608 |
+
avg_toks = batch * seq / (sum(times[-20:]) / min(20, len(times)))
|
| 609 |
+
|
| 610 |
+
return {"attn": attn_type, "mode": mode, "loss": avg_loss, "tok_s": avg_toks}
|
| 611 |
+
|
| 612 |
+
|
| 613 |
+
def main():
|
| 614 |
+
parser = argparse.ArgumentParser()
|
| 615 |
+
parser.add_argument("--d", type=int, default=256)
|
| 616 |
+
parser.add_argument("--layers", type=int, default=4)
|
| 617 |
+
parser.add_argument("--heads", type=int, default=8)
|
| 618 |
+
parser.add_argument("--batch", type=int, default=16)
|
| 619 |
+
parser.add_argument("--seq", type=int, default=128)
|
| 620 |
+
parser.add_argument("--steps", type=int, default=100)
|
| 621 |
+
parser.add_argument("--mode", type=str, default="ar", choices=["ar", "sat", "nar", "all"])
|
| 622 |
+
parser.add_argument("--types", type=str, default="all")
|
| 623 |
+
args = parser.parse_args()
|
| 624 |
+
|
| 625 |
+
print(f"Device: {DEV}")
|
| 626 |
+
if torch.cuda.is_available():
|
| 627 |
+
print(f"GPU: {torch.cuda.get_device_name()}")
|
| 628 |
+
|
| 629 |
+
if args.types == "all":
|
| 630 |
+
types = list(ATTN_REGISTRY.keys())
|
| 631 |
+
else:
|
| 632 |
+
types = [t.strip() for t in args.types.split(",")]
|
| 633 |
+
|
| 634 |
+
modes = ["ar", "sat", "nar"] if args.mode == "all" else [args.mode]
|
| 635 |
+
|
| 636 |
+
results = []
|
| 637 |
+
for mode in modes:
|
| 638 |
+
for attn_type in types:
|
| 639 |
+
r = train(attn_type, mode, args.d, args.layers, args.heads,
|
| 640 |
+
args.batch, args.seq, args.steps)
|
| 641 |
+
if r:
|
| 642 |
+
results.append(r)
|
| 643 |
+
torch.cuda.empty_cache()
|
| 644 |
+
|
| 645 |
+
# Summary
|
| 646 |
+
print(f"\n{'='*60}")
|
| 647 |
+
print("SUMMARY")
|
| 648 |
+
print(f"{'='*60}")
|
| 649 |
+
|
| 650 |
+
for mode in modes:
|
| 651 |
+
print(f"\n--- MODE: {mode.upper()} ---")
|
| 652 |
+
mode_results = [r for r in results if r['mode'] == mode]
|
| 653 |
+
baseline = next((r for r in mode_results if r['attn'] == 'standard'), None)
|
| 654 |
+
|
| 655 |
+
for r in sorted(mode_results, key=lambda x: x['loss']):
|
| 656 |
+
rel = ""
|
| 657 |
+
if baseline and r['attn'] != 'standard':
|
| 658 |
+
loss_diff = (baseline['loss'] - r['loss']) / baseline['loss'] * 100
|
| 659 |
+
speed_ratio = r['tok_s'] / baseline['tok_s']
|
| 660 |
+
rel = f" | vs std: {loss_diff:+.1f}%, {speed_ratio:.2f}x"
|
| 661 |
+
print(f"{r['attn']:15s} | Loss {r['loss']:.4f} | {r['tok_s']:6.0f} tok/s{rel}")
|
| 662 |
+
|
| 663 |
+
|
| 664 |
+
if __name__ == "__main__":
|
| 665 |
+
main()
|