Create constelation_v11_cross_token_preservation.py
Browse files
constelation_v11_cross_token_preservation.py
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|
| 1 |
+
#!/usr/bin/env python3
|
| 2 |
+
"""
|
| 3 |
+
Hybrid Constellation Relay v2
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| 4 |
+
================================
|
| 5 |
+
Fixes from v1:
|
| 6 |
+
- Split gates: fixed_gate (cold, -3.0) + dynamic_gate (warm, -1.0)
|
| 7 |
+
- Balanced: 8 fixed + 8 dynamic per patch
|
| 8 |
+
- Separate dynamic MLP before merge
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| 9 |
+
- Proper causal intervention test for cross-token routing
|
| 10 |
+
- V-projection: dynamic anchors carry value information, not just position
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| 11 |
+
"""
|
| 12 |
+
|
| 13 |
+
import torch
|
| 14 |
+
import torch.nn as nn
|
| 15 |
+
import torch.nn.functional as F
|
| 16 |
+
import numpy as np
|
| 17 |
+
import math
|
| 18 |
+
import time
|
| 19 |
+
|
| 20 |
+
DEVICE = "cuda" if torch.cuda.is_available() else "cpu"
|
| 21 |
+
torch.manual_seed(42)
|
| 22 |
+
torch.backends.cuda.matmul.allow_tf32 = True
|
| 23 |
+
torch.backends.cudnn.allow_tf32 = True
|
| 24 |
+
|
| 25 |
+
HAS_FP8 = hasattr(torch, 'float8_e4m3fn')
|
| 26 |
+
|
| 27 |
+
|
| 28 |
+
def compute_cv(points, n_samples=1500, n_points=5):
|
| 29 |
+
N = points.shape[0]
|
| 30 |
+
if N < n_points: return float('nan')
|
| 31 |
+
points = F.normalize(points.to(DEVICE).float(), dim=-1)
|
| 32 |
+
vols = []
|
| 33 |
+
for _ in range(n_samples):
|
| 34 |
+
idx = torch.randperm(min(N, 10000), device=DEVICE)[:n_points]
|
| 35 |
+
pts = points[idx].unsqueeze(0)
|
| 36 |
+
gram = torch.bmm(pts, pts.transpose(1, 2))
|
| 37 |
+
norms = torch.diagonal(gram, dim1=1, dim2=2)
|
| 38 |
+
d2 = norms.unsqueeze(2) + norms.unsqueeze(1) - 2 * gram
|
| 39 |
+
d2 = F.relu(d2)
|
| 40 |
+
cm = torch.zeros(1, 6, 6, device=DEVICE, dtype=torch.float32)
|
| 41 |
+
cm[:, 0, 1:] = 1; cm[:, 1:, 0] = 1; cm[:, 1:, 1:] = d2
|
| 42 |
+
v2 = -torch.linalg.det(cm) / 9216
|
| 43 |
+
if v2[0].item() > 1e-20:
|
| 44 |
+
vols.append(v2[0].sqrt().cpu())
|
| 45 |
+
if len(vols) < 50: return float('nan')
|
| 46 |
+
vt = torch.stack(vols)
|
| 47 |
+
return (vt.std() / (vt.mean() + 1e-8)).item()
|
| 48 |
+
|
| 49 |
+
|
| 50 |
+
def eff_dim(x):
|
| 51 |
+
x_c = x - x.mean(0, keepdim=True)
|
| 52 |
+
_, S, _ = torch.linalg.svd(x_c[:512].float(), full_matrices=False)
|
| 53 |
+
p = S / S.sum()
|
| 54 |
+
return p.pow(2).sum().reciprocal().item()
|
| 55 |
+
|
| 56 |
+
|
| 57 |
+
def uniform_sphere(n, d):
|
| 58 |
+
return F.normalize(torch.randn(n, d), dim=-1)
|
| 59 |
+
|
| 60 |
+
|
| 61 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 62 |
+
# HYBRID CONSTELLATION RELAY v2
|
| 63 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 64 |
+
|
| 65 |
+
class HybridRelay(nn.Module):
|
| 66 |
+
"""
|
| 67 |
+
Fixed geometric anchors + dynamic cross-token anchors.
|
| 68 |
+
Split processing paths with separate gates.
|
| 69 |
+
|
| 70 |
+
Per patch (d=16):
|
| 71 |
+
Fixed path: A_f anchors Γ n_phases β fixed_mlp β fixed_out (d)
|
| 72 |
+
Dynamic path: top-k QΒ·K selection β gather V β dynamic_mlp β dyn_out (d)
|
| 73 |
+
Output: fixed_gate * fixed_out + dyn_gate * dyn_out + (1-both) * identity
|
| 74 |
+
"""
|
| 75 |
+
def __init__(
|
| 76 |
+
self,
|
| 77 |
+
input_dim,
|
| 78 |
+
patch_dim=16,
|
| 79 |
+
n_fixed=8,
|
| 80 |
+
n_dynamic=8,
|
| 81 |
+
n_phases=3,
|
| 82 |
+
pw_hidden=32,
|
| 83 |
+
fixed_gate_init=-3.0, # sigmoid β 0.047
|
| 84 |
+
dyn_gate_init=-1.0, # sigmoid β 0.269
|
| 85 |
+
):
|
| 86 |
+
super().__init__()
|
| 87 |
+
assert input_dim % patch_dim == 0
|
| 88 |
+
self.input_dim = input_dim
|
| 89 |
+
self.patch_dim = patch_dim
|
| 90 |
+
self.n_patches = input_dim // patch_dim
|
| 91 |
+
self.n_fixed = n_fixed
|
| 92 |
+
self.n_dynamic = n_dynamic
|
| 93 |
+
self.n_phases = n_phases
|
| 94 |
+
|
| 95 |
+
P, Af, k, d = self.n_patches, n_fixed, n_dynamic, patch_dim
|
| 96 |
+
|
| 97 |
+
# ββ Fixed constellation ββ
|
| 98 |
+
home = torch.empty(P, Af, d)
|
| 99 |
+
nn.init.xavier_normal_(home.view(P * Af, d))
|
| 100 |
+
home = F.normalize(home.view(P, Af, d), dim=-1)
|
| 101 |
+
self.register_buffer('home', home)
|
| 102 |
+
self.anchors = nn.Parameter(home.clone())
|
| 103 |
+
|
| 104 |
+
# Fixed path MLP: (phases * Af) β d
|
| 105 |
+
fixed_tri_dim = n_phases * Af
|
| 106 |
+
self.fixed_w1 = nn.Parameter(torch.empty(P, fixed_tri_dim, pw_hidden))
|
| 107 |
+
self.fixed_b1 = nn.Parameter(torch.zeros(1, 1, P, pw_hidden))
|
| 108 |
+
self.fixed_w2 = nn.Parameter(torch.empty(P, pw_hidden, d))
|
| 109 |
+
self.fixed_b2 = nn.Parameter(torch.zeros(1, 1, P, d))
|
| 110 |
+
for p in range(P):
|
| 111 |
+
nn.init.xavier_normal_(self.fixed_w1.data[p])
|
| 112 |
+
nn.init.xavier_normal_(self.fixed_w2.data[p])
|
| 113 |
+
self.fixed_norm = nn.LayerNorm(d)
|
| 114 |
+
|
| 115 |
+
# ββ Dynamic cross-token path ββ
|
| 116 |
+
# Q, K for selection; V for information transfer
|
| 117 |
+
self.q_proj = nn.Parameter(torch.empty(P, d, d))
|
| 118 |
+
self.k_proj = nn.Parameter(torch.empty(P, d, d))
|
| 119 |
+
self.v_proj = nn.Parameter(torch.empty(P, d, d))
|
| 120 |
+
for p in range(P):
|
| 121 |
+
nn.init.xavier_normal_(self.q_proj.data[p])
|
| 122 |
+
nn.init.xavier_normal_(self.k_proj.data[p])
|
| 123 |
+
nn.init.xavier_normal_(self.v_proj.data[p])
|
| 124 |
+
|
| 125 |
+
# Dynamic path MLP: (k * d) β d (reads gathered V values)
|
| 126 |
+
dyn_input_dim = k * d
|
| 127 |
+
self.dyn_w1 = nn.Parameter(torch.empty(P, dyn_input_dim, pw_hidden))
|
| 128 |
+
self.dyn_b1 = nn.Parameter(torch.zeros(1, 1, P, pw_hidden))
|
| 129 |
+
self.dyn_w2 = nn.Parameter(torch.empty(P, pw_hidden, d))
|
| 130 |
+
self.dyn_b2 = nn.Parameter(torch.zeros(1, 1, P, d))
|
| 131 |
+
for p in range(P):
|
| 132 |
+
nn.init.xavier_normal_(self.dyn_w1.data[p])
|
| 133 |
+
nn.init.xavier_normal_(self.dyn_w2.data[p])
|
| 134 |
+
self.dyn_norm = nn.LayerNorm(d)
|
| 135 |
+
|
| 136 |
+
# ββ Split gates ββ
|
| 137 |
+
self.fixed_gate = nn.Parameter(torch.full((P,), fixed_gate_init))
|
| 138 |
+
self.dyn_gate = nn.Parameter(torch.full((P,), dyn_gate_init))
|
| 139 |
+
|
| 140 |
+
self.norm = nn.LayerNorm(input_dim)
|
| 141 |
+
|
| 142 |
+
def drift(self):
|
| 143 |
+
h = F.normalize(self.home, dim=-1)
|
| 144 |
+
c = F.normalize(self.anchors, dim=-1)
|
| 145 |
+
cos = (h * c).sum(dim=-1).clamp(-1 + 1e-7, 1 - 1e-7)
|
| 146 |
+
return torch.acos(cos)
|
| 147 |
+
|
| 148 |
+
def at_phase(self, t):
|
| 149 |
+
h = F.normalize(self.home, dim=-1)
|
| 150 |
+
c = F.normalize(self.anchors, dim=-1)
|
| 151 |
+
omega = self.drift().unsqueeze(-1)
|
| 152 |
+
sin_omega = omega.sin().clamp(min=1e-7)
|
| 153 |
+
return (torch.sin((1 - t) * omega) / sin_omega * h +
|
| 154 |
+
torch.sin(t * omega) / sin_omega * c)
|
| 155 |
+
|
| 156 |
+
def forward(self, x, return_diagnostics=False):
|
| 157 |
+
"""x: (B, S, D)"""
|
| 158 |
+
B, S, D = x.shape
|
| 159 |
+
P, Af, k, d = self.n_patches, self.n_fixed, self.n_dynamic, self.patch_dim
|
| 160 |
+
|
| 161 |
+
x_n = self.norm(x)
|
| 162 |
+
patches = x_n.reshape(B, S, P, d)
|
| 163 |
+
patches_n = F.normalize(patches, dim=-1)
|
| 164 |
+
|
| 165 |
+
# ββββββ FIXED PATH ββββββ
|
| 166 |
+
phases = torch.linspace(0, 1, self.n_phases).tolist()
|
| 167 |
+
fixed_tris = []
|
| 168 |
+
for t in phases:
|
| 169 |
+
anchors_t = F.normalize(self.at_phase(t), dim=-1) # (P, Af, d)
|
| 170 |
+
cos_f = torch.einsum('bspd,pad->bspa', patches_n, anchors_t)
|
| 171 |
+
fixed_tris.append(1.0 - cos_f)
|
| 172 |
+
fixed_tri = torch.cat(fixed_tris, dim=-1) # (B, S, P, Af*phases)
|
| 173 |
+
|
| 174 |
+
h_f = torch.einsum('bspt,pth->bsph', fixed_tri, self.fixed_w1) + self.fixed_b1
|
| 175 |
+
h_f = F.gelu(h_f)
|
| 176 |
+
fixed_out = torch.einsum('bsph,phd->bspd', h_f, self.fixed_w2) + self.fixed_b2
|
| 177 |
+
fixed_out = self.fixed_norm(fixed_out) # (B, S, P, d)
|
| 178 |
+
|
| 179 |
+
# ββββββ DYNAMIC PATH ββββββ
|
| 180 |
+
# Q, K, V projections
|
| 181 |
+
Q = F.normalize(torch.einsum('bspd,pde->bspe', patches_n, self.q_proj), dim=-1)
|
| 182 |
+
K = F.normalize(torch.einsum('bspd,pde->bspe', patches_n, self.k_proj), dim=-1)
|
| 183 |
+
V = torch.einsum('bspd,pde->bspe', patches, self.v_proj) # V not normalized β carries magnitude
|
| 184 |
+
|
| 185 |
+
# Relevance: Q_i Β· K_j β (B, P, S, S)
|
| 186 |
+
relevance = torch.einsum('bspd,btpd->bpst', Q, K)
|
| 187 |
+
|
| 188 |
+
# Mask self
|
| 189 |
+
self_mask = torch.eye(S, device=x.device, dtype=torch.bool)
|
| 190 |
+
relevance = relevance.masked_fill(self_mask.unsqueeze(0).unsqueeze(0), -1e9)
|
| 191 |
+
|
| 192 |
+
# Soft top-k: take softmax over keys, then gather top-k
|
| 193 |
+
# This makes gradients flow through the selection
|
| 194 |
+
rel_weights = relevance.softmax(dim=-1) # (B, P, S, S)
|
| 195 |
+
|
| 196 |
+
# Top-k indices for sparse gather
|
| 197 |
+
_, topk_idx = relevance.topk(k, dim=-1) # (B, P, S, k)
|
| 198 |
+
|
| 199 |
+
# Gather top-k weights and re-normalize
|
| 200 |
+
topk_weights = torch.gather(rel_weights, -1, topk_idx) # (B, P, S, k)
|
| 201 |
+
topk_weights = topk_weights / (topk_weights.sum(dim=-1, keepdim=True) + 1e-8)
|
| 202 |
+
|
| 203 |
+
# Gather top-k V vectors: V is (B, S, P, d) β need (B, P, S, d)
|
| 204 |
+
V_perm = V.permute(0, 2, 1, 3) # (B, P, S, d)
|
| 205 |
+
# For each (b, p, s), gather V[b, p, topk_idx[b,p,s,:], :]
|
| 206 |
+
topk_idx_v = topk_idx.unsqueeze(-1).expand(-1, -1, -1, -1, d) # (B, P, S, k, d)
|
| 207 |
+
V_expanded = V_perm.unsqueeze(2).expand(-1, -1, S, -1, -1) # (B, P, S, S, d)
|
| 208 |
+
topk_V = torch.gather(V_expanded, 3, topk_idx_v) # (B, P, S, k, d)
|
| 209 |
+
|
| 210 |
+
# Weighted sum of top-k values
|
| 211 |
+
weighted_V = (topk_weights.unsqueeze(-1) * topk_V).reshape(B, P, S, k * d)
|
| 212 |
+
# β (B, S, P, k*d)
|
| 213 |
+
weighted_V = weighted_V.permute(0, 2, 1, 3)
|
| 214 |
+
|
| 215 |
+
# Dynamic MLP
|
| 216 |
+
h_d = torch.einsum('bspt,pth->bsph', weighted_V, self.dyn_w1) + self.dyn_b1
|
| 217 |
+
h_d = F.gelu(h_d)
|
| 218 |
+
dyn_out = torch.einsum('bsph,phd->bspd', h_d, self.dyn_w2) + self.dyn_b2
|
| 219 |
+
dyn_out = self.dyn_norm(dyn_out) # (B, S, P, d)
|
| 220 |
+
|
| 221 |
+
# ββββββ GATED MERGE ββββββ
|
| 222 |
+
fg = self.fixed_gate.sigmoid().view(1, 1, P, 1)
|
| 223 |
+
dg = self.dyn_gate.sigmoid().view(1, 1, P, 1)
|
| 224 |
+
# Identity weight = 1 - fg - dg (can go negative if both gates high, but sigmoid caps each at 1)
|
| 225 |
+
identity_weight = (1.0 - fg - dg).clamp(min=0.0)
|
| 226 |
+
|
| 227 |
+
blended = fg * fixed_out + dg * dyn_out + identity_weight * patches
|
| 228 |
+
out = blended.reshape(B, S, D)
|
| 229 |
+
result = x + out
|
| 230 |
+
|
| 231 |
+
if return_diagnostics:
|
| 232 |
+
drift = self.drift()
|
| 233 |
+
diag = {
|
| 234 |
+
'drift_mean': drift.mean().item(),
|
| 235 |
+
'fixed_gate': self.fixed_gate.sigmoid().mean().item(),
|
| 236 |
+
'dyn_gate': self.dyn_gate.sigmoid().mean().item(),
|
| 237 |
+
'identity_weight': identity_weight.mean().item(),
|
| 238 |
+
'topk_cos_mean': torch.gather(relevance, -1, topk_idx).mean().item(),
|
| 239 |
+
'topk_cos_max': torch.gather(relevance, -1, topk_idx).max().item(),
|
| 240 |
+
}
|
| 241 |
+
return result, diag
|
| 242 |
+
return result
|
| 243 |
+
|
| 244 |
+
|
| 245 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 246 |
+
# COMPARISON MODULES
|
| 247 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 248 |
+
|
| 249 |
+
class VanillaAttn(nn.Module):
|
| 250 |
+
def __init__(self, dim, n_heads=4):
|
| 251 |
+
super().__init__()
|
| 252 |
+
self.n_heads = n_heads
|
| 253 |
+
self.head_dim = dim // n_heads
|
| 254 |
+
self.qkv = nn.Linear(dim, 3 * dim, bias=False)
|
| 255 |
+
self.out_proj = nn.Linear(dim, dim, bias=False)
|
| 256 |
+
self.norm = nn.LayerNorm(dim)
|
| 257 |
+
|
| 258 |
+
def forward(self, x):
|
| 259 |
+
B, S, D = x.shape
|
| 260 |
+
x_n = self.norm(x)
|
| 261 |
+
qkv = self.qkv(x_n).reshape(B, S, 3, self.n_heads, self.head_dim)
|
| 262 |
+
qkv = qkv.permute(2, 0, 3, 1, 4)
|
| 263 |
+
q, k, v = qkv[0], qkv[1], qkv[2]
|
| 264 |
+
attn = (q @ k.transpose(-2, -1)) * (self.head_dim ** -0.5)
|
| 265 |
+
attn = attn.softmax(dim=-1)
|
| 266 |
+
out = (attn @ v).transpose(1, 2).reshape(B, S, D)
|
| 267 |
+
return x + self.out_proj(out)
|
| 268 |
+
|
| 269 |
+
|
| 270 |
+
class PureRelay(nn.Module):
|
| 271 |
+
def __init__(self, input_dim, patch_dim=16, n_anchors=16, n_phases=3,
|
| 272 |
+
pw_hidden=32, gate_init=-3.0):
|
| 273 |
+
super().__init__()
|
| 274 |
+
assert input_dim % patch_dim == 0
|
| 275 |
+
P = input_dim // patch_dim
|
| 276 |
+
A, d = n_anchors, patch_dim
|
| 277 |
+
self.input_dim, self.patch_dim, self.n_patches = input_dim, patch_dim, P
|
| 278 |
+
self.n_anchors, self.n_phases = n_anchors, n_phases
|
| 279 |
+
|
| 280 |
+
home = torch.empty(P, A, d)
|
| 281 |
+
nn.init.xavier_normal_(home.view(P * A, d))
|
| 282 |
+
home = F.normalize(home.view(P, A, d), dim=-1)
|
| 283 |
+
self.register_buffer('home', home)
|
| 284 |
+
self.anchors = nn.Parameter(home.clone())
|
| 285 |
+
tri_dim = n_phases * A
|
| 286 |
+
self.pw_w1 = nn.Parameter(torch.empty(P, tri_dim, pw_hidden))
|
| 287 |
+
self.pw_b1 = nn.Parameter(torch.zeros(1, 1, P, pw_hidden))
|
| 288 |
+
self.pw_w2 = nn.Parameter(torch.empty(P, pw_hidden, d))
|
| 289 |
+
self.pw_b2 = nn.Parameter(torch.zeros(1, 1, P, d))
|
| 290 |
+
for p in range(P):
|
| 291 |
+
nn.init.xavier_normal_(self.pw_w1.data[p])
|
| 292 |
+
nn.init.xavier_normal_(self.pw_w2.data[p])
|
| 293 |
+
self.pw_norm = nn.LayerNorm(d)
|
| 294 |
+
self.gates = nn.Parameter(torch.full((P,), gate_init))
|
| 295 |
+
self.norm = nn.LayerNorm(input_dim)
|
| 296 |
+
|
| 297 |
+
def drift(self):
|
| 298 |
+
h = F.normalize(self.home, dim=-1)
|
| 299 |
+
c = F.normalize(self.anchors, dim=-1)
|
| 300 |
+
return torch.acos((h * c).sum(-1).clamp(-1 + 1e-7, 1 - 1e-7))
|
| 301 |
+
|
| 302 |
+
def at_phase(self, t):
|
| 303 |
+
h, c = F.normalize(self.home, dim=-1), F.normalize(self.anchors, dim=-1)
|
| 304 |
+
omega = self.drift().unsqueeze(-1)
|
| 305 |
+
so = omega.sin().clamp(min=1e-7)
|
| 306 |
+
return torch.sin((1-t)*omega)/so * h + torch.sin(t*omega)/so * c
|
| 307 |
+
|
| 308 |
+
def forward(self, x):
|
| 309 |
+
if x.dim() == 2: x = x.unsqueeze(1)
|
| 310 |
+
B, S, D = x.shape
|
| 311 |
+
P, A, d = self.n_patches, self.n_anchors, self.patch_dim
|
| 312 |
+
patches = self.norm(x).reshape(B*S, P, d)
|
| 313 |
+
patches_n = F.normalize(patches, dim=-1)
|
| 314 |
+
tris = []
|
| 315 |
+
for t in torch.linspace(0, 1, self.n_phases).tolist():
|
| 316 |
+
at = F.normalize(self.at_phase(t), dim=-1)
|
| 317 |
+
tris.append(1.0 - torch.einsum('bpd,pad->bpa', patches_n, at))
|
| 318 |
+
tri = torch.cat(tris, dim=-1)
|
| 319 |
+
h = F.gelu(torch.einsum('bpt,pth->bph', tri, self.pw_w1) + self.pw_b1.squeeze(1))
|
| 320 |
+
pw = self.pw_norm(torch.einsum('bph,phd->bpd', h, self.pw_w2) + self.pw_b2.squeeze(1))
|
| 321 |
+
g = self.gates.sigmoid().unsqueeze(0).unsqueeze(-1)
|
| 322 |
+
out = (g * pw + (1-g) * patches).reshape(B, S, D)
|
| 323 |
+
return x + out
|
| 324 |
+
|
| 325 |
+
|
| 326 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 327 |
+
# TESTS
|
| 328 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 329 |
+
|
| 330 |
+
B = 4
|
| 331 |
+
S = 256
|
| 332 |
+
D = 128
|
| 333 |
+
N_CV = 1500
|
| 334 |
+
|
| 335 |
+
print("=" * 90)
|
| 336 |
+
print("HYBRID CONSTELLATION RELAY v2 β SPLIT GATES + CAUSAL TEST")
|
| 337 |
+
print(f" B={B}, S={S}, D={D} = {D//16}p Γ 16d")
|
| 338 |
+
print(f" Fixed: 8 anchors Γ 3 phases | Dynamic: 8 top-k with V-projection")
|
| 339 |
+
print(f" Device: {DEVICE}")
|
| 340 |
+
print("=" * 90)
|
| 341 |
+
|
| 342 |
+
configs = {
|
| 343 |
+
'vanilla_attn': lambda: VanillaAttn(D, 8).to(DEVICE),
|
| 344 |
+
'pure_relay': lambda: PureRelay(D, 16, 16, 3, 32).to(DEVICE),
|
| 345 |
+
'hybrid_v2': lambda: HybridRelay(D, 16, 8, 8, 3, 32).to(DEVICE),
|
| 346 |
+
}
|
| 347 |
+
|
| 348 |
+
|
| 349 |
+
# ββ TEST 1: Single pass ββ
|
| 350 |
+
print(f"\n{'β'*90}")
|
| 351 |
+
print("TEST 1: Single pass")
|
| 352 |
+
print(f"{'β'*90}")
|
| 353 |
+
|
| 354 |
+
x = torch.randn(B, S, D, device=DEVICE)
|
| 355 |
+
x_flat_n = F.normalize(x.reshape(B*S, D), dim=-1)
|
| 356 |
+
cv_base = compute_cv(x_flat_n, N_CV)
|
| 357 |
+
print(f" Baseline CV: {cv_base:.4f}")
|
| 358 |
+
print(f" {'arch':>15} {'params':>8} {'CV_n':>8} {'cos_orig':>10}")
|
| 359 |
+
|
| 360 |
+
for name, builder in configs.items():
|
| 361 |
+
m = builder()
|
| 362 |
+
np_ = sum(p.numel() for p in m.parameters())
|
| 363 |
+
with torch.no_grad():
|
| 364 |
+
out = m(x)
|
| 365 |
+
out_n = F.normalize(out.reshape(B*S, D), dim=-1)
|
| 366 |
+
cv = compute_cv(out_n, N_CV)
|
| 367 |
+
cos = (x_flat_n * out_n).sum(-1).mean().item()
|
| 368 |
+
print(f" {name:>15} {np_:>8,} {cv:>8.4f} {cos:>10.6f}")
|
| 369 |
+
|
| 370 |
+
# Hybrid diagnostics
|
| 371 |
+
hybrid_diag = HybridRelay(D, 16, 8, 8, 3, 32).to(DEVICE)
|
| 372 |
+
with torch.no_grad():
|
| 373 |
+
_, diag = hybrid_diag(x, return_diagnostics=True)
|
| 374 |
+
print(f"\n Hybrid gates: fixed={diag['fixed_gate']:.4f} dyn={diag['dyn_gate']:.4f} "
|
| 375 |
+
f"identity={diag['identity_weight']:.4f}")
|
| 376 |
+
|
| 377 |
+
|
| 378 |
+
# ββ TEST 2: Depth sweep ββ
|
| 379 |
+
print(f"\n{'β'*90}")
|
| 380 |
+
print("TEST 2: Depth 16")
|
| 381 |
+
print(f"{'β'*90}")
|
| 382 |
+
|
| 383 |
+
x = torch.randn(B, S, D, device=DEVICE)
|
| 384 |
+
x_flat_n = F.normalize(x.reshape(B*S, D), dim=-1)
|
| 385 |
+
checks = [1, 2, 4, 8, 12, 16]
|
| 386 |
+
|
| 387 |
+
for name, builder in configs.items():
|
| 388 |
+
print(f"\n {name}:")
|
| 389 |
+
print(f" {'d':>4} {'CV_n':>8} {'cos':>10} {'eff_d':>8}")
|
| 390 |
+
stack = nn.ModuleList([builder() for _ in range(16)])
|
| 391 |
+
z = x.clone()
|
| 392 |
+
for i, layer in enumerate(stack):
|
| 393 |
+
with torch.no_grad(): z = layer(z)
|
| 394 |
+
if (i+1) in checks:
|
| 395 |
+
zn = F.normalize(z.reshape(B*S, D), dim=-1)
|
| 396 |
+
print(f" {i+1:>4} {compute_cv(zn, N_CV):>8.4f} "
|
| 397 |
+
f"{(x_flat_n * zn).sum(-1).mean().item():>10.6f} "
|
| 398 |
+
f"{eff_dim(z.reshape(B*S, D)):>8.1f}")
|
| 399 |
+
|
| 400 |
+
|
| 401 |
+
# ββ TEST 3: Interleaved ββ
|
| 402 |
+
print(f"\n{'β'*90}")
|
| 403 |
+
print("TEST 3: Interleaved attn β hybrid β attn β hybrid")
|
| 404 |
+
print(f"{'β'*90}")
|
| 405 |
+
|
| 406 |
+
x = torch.randn(B, S, D, device=DEVICE)
|
| 407 |
+
x_flat_n = F.normalize(x.reshape(B*S, D), dim=-1)
|
| 408 |
+
|
| 409 |
+
attn_l = nn.ModuleList([VanillaAttn(D, 8).to(DEVICE) for _ in range(8)])
|
| 410 |
+
hyb_l = nn.ModuleList([HybridRelay(D, 16, 8, 8, 3, 32).to(DEVICE) for _ in range(8)])
|
| 411 |
+
|
| 412 |
+
print(f" {'step':>4} {'type':>8} {'CV_n':>8} {'cos':>10} {'eff_d':>8}")
|
| 413 |
+
z = x.clone()
|
| 414 |
+
step = 0
|
| 415 |
+
for i in range(8):
|
| 416 |
+
with torch.no_grad(): z = attn_l[i](z)
|
| 417 |
+
step += 1
|
| 418 |
+
if step in checks:
|
| 419 |
+
zn = F.normalize(z.reshape(B*S, D), dim=-1)
|
| 420 |
+
print(f" {step:>4} {'attn':>8} {compute_cv(zn, N_CV):>8.4f} "
|
| 421 |
+
f"{(x_flat_n * zn).sum(-1).mean().item():>10.6f} "
|
| 422 |
+
f"{eff_dim(z.reshape(B*S, D)):>8.1f}")
|
| 423 |
+
with torch.no_grad(): z = hyb_l[i](z)
|
| 424 |
+
step += 1
|
| 425 |
+
if step in checks:
|
| 426 |
+
zn = F.normalize(z.reshape(B*S, D), dim=-1)
|
| 427 |
+
print(f" {step:>4} {'hybrid':>8} {compute_cv(zn, N_CV):>8.4f} "
|
| 428 |
+
f"{(x_flat_n * zn).sum(-1).mean().item():>10.6f} "
|
| 429 |
+
f"{eff_dim(z.reshape(B*S, D)):>8.1f}")
|
| 430 |
+
|
| 431 |
+
|
| 432 |
+
# ββ TEST 4: CAUSAL INTERVENTION β the real cross-token routing test ββ
|
| 433 |
+
print(f"\n{'β'*90}")
|
| 434 |
+
print("TEST 4: Causal intervention β does changing token 0 affect other tokens?")
|
| 435 |
+
print(f" Run same sequence twice, swap only token 0. Measure Ξ on tokens 1-31.")
|
| 436 |
+
print(f"{'β'*90}")
|
| 437 |
+
|
| 438 |
+
S_test = 32
|
| 439 |
+
x_a = torch.randn(1, S_test, D, device=DEVICE)
|
| 440 |
+
x_b = x_a.clone()
|
| 441 |
+
x_b[:, 0] = torch.randn(1, D, device=DEVICE) # only token 0 differs
|
| 442 |
+
|
| 443 |
+
print(f" Token 0 cosine between A and B: "
|
| 444 |
+
f"{F.cosine_similarity(x_a[:, 0], x_b[:, 0]).item():.4f}")
|
| 445 |
+
print(f" Tokens 1-31 identical: "
|
| 446 |
+
f"{(x_a[:, 1:] == x_b[:, 1:]).all().item()}")
|
| 447 |
+
|
| 448 |
+
print(f"\n {'arch':>15} {'other_Ξ_norm':>12} {'other_Ξ_cos':>12} {'t0_Ξ_norm':>10}")
|
| 449 |
+
|
| 450 |
+
for name, builder in configs.items():
|
| 451 |
+
m = builder()
|
| 452 |
+
with torch.no_grad():
|
| 453 |
+
out_a = m(x_a)
|
| 454 |
+
out_b = m(x_b)
|
| 455 |
+
|
| 456 |
+
# How much did tokens 1-31 change?
|
| 457 |
+
delta_others = (out_a[:, 1:] - out_b[:, 1:])
|
| 458 |
+
other_norm = delta_others.norm(dim=-1).mean().item()
|
| 459 |
+
# Cosine change for other tokens
|
| 460 |
+
cos_others = F.cosine_similarity(
|
| 461 |
+
out_a[:, 1:].reshape(-1, D),
|
| 462 |
+
out_b[:, 1:].reshape(-1, D)).mean().item()
|
| 463 |
+
# Token 0 change (sanity β should be large for all)
|
| 464 |
+
t0_norm = (out_a[:, 0] - out_b[:, 0]).norm().item()
|
| 465 |
+
|
| 466 |
+
print(f" {name:>15} {other_norm:>12.6f} {1-cos_others:>12.8f} {t0_norm:>10.4f}")
|
| 467 |
+
|
| 468 |
+
|
| 469 |
+
# Run multiple layers to amplify routing signal
|
| 470 |
+
print(f"\n After 4 stacked layers:")
|
| 471 |
+
print(f" {'arch':>15} {'other_Ξ_norm':>12} {'other_Ξ_cos':>12}")
|
| 472 |
+
|
| 473 |
+
for name, builder in configs.items():
|
| 474 |
+
layers = nn.ModuleList([builder() for _ in range(4)])
|
| 475 |
+
with torch.no_grad():
|
| 476 |
+
za, zb = x_a.clone(), x_b.clone()
|
| 477 |
+
for layer in layers:
|
| 478 |
+
za = layer(za)
|
| 479 |
+
zb = layer(zb)
|
| 480 |
+
|
| 481 |
+
delta = (za[:, 1:] - zb[:, 1:])
|
| 482 |
+
other_norm = delta.norm(dim=-1).mean().item()
|
| 483 |
+
cos_others = F.cosine_similarity(
|
| 484 |
+
za[:, 1:].reshape(-1, D),
|
| 485 |
+
zb[:, 1:].reshape(-1, D)).mean().item()
|
| 486 |
+
print(f" {name:>15} {other_norm:>12.6f} {1-cos_others:>12.8f}")
|
| 487 |
+
|
| 488 |
+
|
| 489 |
+
# ββ TEST 5: Throughput ββ
|
| 490 |
+
print(f"\n{'β'*90}")
|
| 491 |
+
print("TEST 5: Throughput")
|
| 492 |
+
print(f"{'β'*90}")
|
| 493 |
+
|
| 494 |
+
x_bench = torch.randn(B, S, D, device=DEVICE)
|
| 495 |
+
print(f" {'arch':>15} {'ms':>8} {'params':>10}")
|
| 496 |
+
|
| 497 |
+
for name, builder in configs.items():
|
| 498 |
+
m = builder()
|
| 499 |
+
np_ = sum(p.numel() for p in m.parameters())
|
| 500 |
+
for _ in range(5):
|
| 501 |
+
with torch.no_grad(): _ = m(x_bench)
|
| 502 |
+
torch.cuda.synchronize()
|
| 503 |
+
t0 = time.time()
|
| 504 |
+
for _ in range(100):
|
| 505 |
+
with torch.no_grad(): _ = m(x_bench)
|
| 506 |
+
torch.cuda.synchronize()
|
| 507 |
+
ms = (time.time() - t0) / 100 * 1000
|
| 508 |
+
print(f" {name:>15} {ms:>8.2f} {np_:>10,}")
|
| 509 |
+
|
| 510 |
+
|
| 511 |
+
# ββ TEST 6: Sequence scaling ββ
|
| 512 |
+
print(f"\n{'β'*90}")
|
| 513 |
+
print("TEST 6: Sequence length scaling")
|
| 514 |
+
print(f"{'β'*90}")
|
| 515 |
+
|
| 516 |
+
print(f" {'S':>6} {'hybrid_ms':>10} {'attn_ms':>10} {'ratio':>8}")
|
| 517 |
+
for sl in [64, 128, 256, 512, 1024]:
|
| 518 |
+
xs = torch.randn(2, sl, D, device=DEVICE)
|
| 519 |
+
h_m = HybridRelay(D, 16, 8, 8, 3, 32).to(DEVICE)
|
| 520 |
+
a_m = VanillaAttn(D, 8).to(DEVICE)
|
| 521 |
+
with torch.no_grad(): _ = h_m(xs); _ = a_m(xs)
|
| 522 |
+
torch.cuda.synchronize()
|
| 523 |
+
|
| 524 |
+
t0 = time.time()
|
| 525 |
+
for _ in range(50):
|
| 526 |
+
with torch.no_grad(): _ = h_m(xs)
|
| 527 |
+
torch.cuda.synchronize()
|
| 528 |
+
h_ms = (time.time() - t0) / 50 * 1000
|
| 529 |
+
|
| 530 |
+
t0 = time.time()
|
| 531 |
+
for _ in range(50):
|
| 532 |
+
with torch.no_grad(): _ = a_m(xs)
|
| 533 |
+
torch.cuda.synchronize()
|
| 534 |
+
a_ms = (time.time() - t0) / 50 * 1000
|
| 535 |
+
print(f" {sl:>6} {h_ms:>10.2f} {a_ms:>10.2f} {h_ms/a_ms:>8.2f}Γ")
|
| 536 |
+
|
| 537 |
+
|
| 538 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 539 |
+
# SUMMARY
|
| 540 |
+
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 541 |
+
|
| 542 |
+
print(f"\n{'='*90}")
|
| 543 |
+
print("SUMMARY")
|
| 544 |
+
print(f"{'='*90}")
|
| 545 |
+
print(f"""
|
| 546 |
+
Hybrid v2 architecture per patch:
|
| 547 |
+
Fixed: 8 anchors Γ 3 phases β MLP β fixed_out (gate β 0.047)
|
| 548 |
+
Dynamic: top-8 QΒ·K β gather V β weighted sum β MLP β dyn_out (gate β 0.269)
|
| 549 |
+
Output: fg*fixed + dg*dynamic + (1-fg-dg)*identity + skip
|
| 550 |
+
|
| 551 |
+
GPT's challenge:
|
| 552 |
+
β Selective interaction β QΒ·K top-k selection
|
| 553 |
+
β Conditional transformation β separate MLPs for fixed/dynamic
|
| 554 |
+
β Information routing β V-projection carries information through geometric channel
|
| 555 |
+
|
| 556 |
+
Key test: Causal intervention (Test 4)
|
| 557 |
+
If other_Ξ_norm > 0 for hybrid but β 0 for pure_relay,
|
| 558 |
+
cross-token routing is proven.
|
| 559 |
+
""")
|
| 560 |
+
print(f"{'='*90}")
|
| 561 |
+
print("DONE")
|
| 562 |
+
print(f"{'='*90}")
|