Upload jobs/g1fs16_probe.py with huggingface_hub
Browse files- jobs/g1fs16_probe.py +1005 -0
jobs/g1fs16_probe.py
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|
| 1 |
+
#!/usr/bin/env python3
|
| 2 |
+
# /// script
|
| 3 |
+
# requires-python = ">=3.10"
|
| 4 |
+
# dependencies = [
|
| 5 |
+
# "torch>=2.2",
|
| 6 |
+
# "numpy>=1.23",
|
| 7 |
+
# "huggingface_hub>=0.24",
|
| 8 |
+
# ]
|
| 9 |
+
# ///
|
| 10 |
+
"""G1-FS16: the corrected emergence instrument (spec v4.3 prereg).
|
| 11 |
+
|
| 12 |
+
Question, unchanged: does compression pressure ALONE bind an operator
|
| 13 |
+
field, shown by compositional generalization no matched control reaches?
|
| 14 |
+
|
| 15 |
+
What makes this instrument different from the falsified G1-DR probe:
|
| 16 |
+
|
| 17 |
+
* MAP-FAMILY EXPLOSION. Operators are two SHA256-derived random
|
| 18 |
+
permutations of all 256 byte values. Training covers every word of
|
| 19 |
+
depth 0..10 -- 2,047 DISTINCT random permutations, ~4.2 Mbit of
|
| 20 |
+
incompressible map content. A d=64 spine cannot store that, but it
|
| 21 |
+
can store two generators (~4 kbit) if the field binds them. Binding
|
| 22 |
+
is not merely possible, it is the only affordable encoding.
|
| 23 |
+
* GENUINELY JOINT EVENTS. One latent word governs M records that share
|
| 24 |
+
a program, so the event marginal spans M*8 answer bytes.
|
| 25 |
+
* ORDER-SENSITIVE COMPILER + TRUE M3 EXECUTION (trident/nucleus5m3.py),
|
| 26 |
+
repairing the two structural defects that made G1-DR's negative
|
| 27 |
+
uninformative.
|
| 28 |
+
* CLOSURE EVALUATION. Words of depth 11..16 are never trained; the
|
| 29 |
+
preregistered global cap is 16, the same frozen tensors execute, and
|
| 30 |
+
evaluation adds no weights and no routing.
|
| 31 |
+
|
| 32 |
+
Oracle certificate runs FIRST and is a training-only diagnostic under
|
| 33 |
+
the 9.3 control rules: if the executor cannot represent the maps under
|
| 34 |
+
forced words, the apparatus is invalid and no G1 evidence exists.
|
| 35 |
+
"""
|
| 36 |
+
|
| 37 |
+
from __future__ import annotations
|
| 38 |
+
|
| 39 |
+
import hashlib
|
| 40 |
+
import itertools
|
| 41 |
+
import json
|
| 42 |
+
import math
|
| 43 |
+
import os
|
| 44 |
+
import sys
|
| 45 |
+
import time
|
| 46 |
+
from typing import Dict, List, Optional, Tuple
|
| 47 |
+
|
| 48 |
+
import numpy as np
|
| 49 |
+
import torch
|
| 50 |
+
from huggingface_hub import HfApi
|
| 51 |
+
from torch import Tensor, nn
|
| 52 |
+
|
| 53 |
+
SRC_REPO = os.environ.get("TRIDENT_SRC_REPO", "farguney/trident-src")
|
| 54 |
+
try:
|
| 55 |
+
import trident # noqa: F401
|
| 56 |
+
except ModuleNotFoundError:
|
| 57 |
+
from huggingface_hub import snapshot_download
|
| 58 |
+
|
| 59 |
+
sys.path.insert(0, snapshot_download(
|
| 60 |
+
repo_id=SRC_REPO, repo_type="model",
|
| 61 |
+
revision=os.environ.get("TRIDENT_SRC_REVISION")))
|
| 62 |
+
|
| 63 |
+
from trident.core5 import BOS_ID, Core5, Core5Config # noqa: E402
|
| 64 |
+
from trident.nucleus5m3 import M3Config, M3Field # noqa: E402
|
| 65 |
+
|
| 66 |
+
DEVICE = torch.device("cuda" if torch.cuda.is_available() else "cpu")
|
| 67 |
+
|
| 68 |
+
ARM = os.environ.get("FS16_ARM", "field")
|
| 69 |
+
SEEDS = [int(s) for s in os.environ.get("FS16_SEEDS", "0").split(",")]
|
| 70 |
+
STEPS = int(os.environ.get("FS16_STEPS", "24000"))
|
| 71 |
+
EVENTS = int(os.environ.get("FS16_EVENTS", "2")) # logical events/step
|
| 72 |
+
M_REC = int(os.environ.get("FS16_M", "16")) # records per event
|
| 73 |
+
LR = float(os.environ.get("FS16_LR", "1e-3"))
|
| 74 |
+
COMP_LR = float(os.environ.get("FS16_COMP_LR", "1e-4"))
|
| 75 |
+
D_MODEL = int(os.environ.get("FS16_D", "64"))
|
| 76 |
+
N_LAYERS = int(os.environ.get("FS16_LAYERS", "3"))
|
| 77 |
+
CARRIER = int(os.environ.get("FS16_CARRIER", "256"))
|
| 78 |
+
D_COMPILE = int(os.environ.get("FS16_DC", "32"))
|
| 79 |
+
TRAIN_DEPTH = int(os.environ.get("FS16_TRAIN_DEPTH", "10"))
|
| 80 |
+
CLOSURE = int(os.environ.get("FS16_CLOSURE", "16"))
|
| 81 |
+
N_SLOTS = int(os.environ.get("FS16_SLOTS", "16"))
|
| 82 |
+
LAM_MID = float(os.environ.get("FS16_LAM_MID", "1.0"))
|
| 83 |
+
LAM_CPU = float(os.environ.get("FS16_LAM_CPU", "0.02"))
|
| 84 |
+
LAM_A = float(os.environ.get("FS16_LAM_A", "0.02"))
|
| 85 |
+
# Cold-start schedules (training-only; the model never observes either
|
| 86 |
+
# variable, and both end at the registered stationary objective).
|
| 87 |
+
# MID_WARMUP: fraction of training over which lam_mid ramps 0 -> LAM_MID.
|
| 88 |
+
# At init the intermediate distributions are near-uniform, so the full
|
| 89 |
+
# charge prices a depth-10 word at ~64*8*9 = 4608 bits against 0 for
|
| 90 |
+
# the empty word, an order of magnitude more than the ~512 bits of
|
| 91 |
+
# answer content any word could ever win. That is an initialization
|
| 92 |
+
# artifact, not a description length: nothing is being transmitted yet.
|
| 93 |
+
# CURRIC: fraction over which the trained depth grows 1 -> TRAIN_DEPTH,
|
| 94 |
+
# with the alphabet tracking it. Pure data ordering plus a schedule on
|
| 95 |
+
# a preregistered hypothesis-space cap; codes stay exchangeable.
|
| 96 |
+
MID_WARMUP = float(os.environ.get("FS16_MID_WARMUP", "0.3"))
|
| 97 |
+
CURRIC = float(os.environ.get("FS16_CURRIC", "0.5"))
|
| 98 |
+
# ST: run the training forward pass through the EXACT deploy bottleneck (a
|
| 99 |
+
# one-hot byte) with the softmax gradient, instead of a soft mixture. The
|
| 100 |
+
# entropy charge exists only because the soft relaxation re-seeds the
|
| 101 |
+
# carrier from a convex combination of all 256 byte embeddings, which
|
| 102 |
+
# carries far more than 8 bits and is a continuous scratchpad deploy cannot
|
| 103 |
+
# use. Straight-through removes that gap by construction, at which point
|
| 104 |
+
# lam_mid has nothing left to buy and the honest remaining price of an
|
| 105 |
+
# intermediate is CPU, which LAM_CPU already charges: at deploy the byte is
|
| 106 |
+
# recomputed deterministically from weights the decoder already holds, so
|
| 107 |
+
# no intermediate is ever transmitted and no codelength is owed for it.
|
| 108 |
+
ST = os.environ.get("FS16_ST", "0") == "1"
|
| 109 |
+
# ST_AFTER: fraction of training after which the forward pass switches from
|
| 110 |
+
# the soft mixture to the exact one-hot. Straight-through alone measured
|
| 111 |
+
# WORSE than the soft path at matched step and depth (byte 0.253 vs 0.971 at
|
| 112 |
+
# step 5000, depth 4): the one-hot forward is exact but its gradient is
|
| 113 |
+
# biased, and early on the mixture's gradient is what breaks the code
|
| 114 |
+
# symmetry. Only the DEPLOYED model has to satisfy train == deploy; the
|
| 115 |
+
# path there does not. Annealing soft -> one-hot ends at the exact identity,
|
| 116 |
+
# so the final claim is clean, no entropy charge is ever levied, and the
|
| 117 |
+
# early gradient is unbiased. 0 = one-hot from the start, 1 = never.
|
| 118 |
+
ST_AFTER = float(os.environ.get("FS16_ST_AFTER", "0"))
|
| 119 |
+
# ACT_INIT: F_k = I + ACT_INIT * Q_k with Q_k Haar-orthogonal. At the old
|
| 120 |
+
# near-identity scale two codes' displacement logits differed by std 0.0001
|
| 121 |
+
# against base logits of 0.16 -- 1600x too small for a gradient to tell the
|
| 122 |
+
# codes apart, which is the real reason the field sat idle. Measured
|
| 123 |
+
# separations: 0.0001 (old) / 0.20 (2.0) / 0.40 (4.0), min singular value
|
| 124 |
+
# 3.0 at 4.0 so every action is invertible at init.
|
| 125 |
+
ACT_INIT = float(os.environ.get("FS16_ACT_INIT", "4.0"))
|
| 126 |
+
# SAMPLED: send executor gradient through ONE posterior-sampled word per
|
| 127 |
+
# event rather than the full q-weighted marginal. Same expected gradient
|
| 128 |
+
# (q is the posterior, so the envelope theorem applies) but the realized
|
| 129 |
+
# update is a coherent program instead of the posterior-mean of 2047 words.
|
| 130 |
+
SAMPLED = os.environ.get("FS16_SAMPLED", "1") == "1"
|
| 131 |
+
NO_PUSH = os.environ.get("FS16_NO_PUSH", "0") == "1"
|
| 132 |
+
# Optimizer schedule. OFF by default: the registered 24k matrix ran with a
|
| 133 |
+
# constant LR and its law must stay reproducible. A schedule carries no task,
|
| 134 |
+
# label, reward, or semantic signal and changes no tensor's provenance, so it
|
| 135 |
+
# is A0-neutral -- it is an optimizer setting, not a training signal.
|
| 136 |
+
COSINE = os.environ.get("FS16_COSINE", "0") == "1"
|
| 137 |
+
# --- the board's repair set for FS16-UNSTABLE (all default ON; setting all
|
| 138 |
+
# --- three to 0 with COSINE=0 reproduces the registered 24k matrix exactly)
|
| 139 |
+
# Byte-local compiler: stationary symbol map, so concatenation is mechanical.
|
| 140 |
+
BYTE_LOCAL = os.environ.get("FS16_BYTE_LOCAL", "1") == "1"
|
| 141 |
+
# Rate barrier on the posterior. beta*log2(W/eps) = 61.3 bits at beta=4 must
|
| 142 |
+
# be paid before an alternative word can displace the incumbent, which stops
|
| 143 |
+
# hard EM from locking onto a random alias. A STRICTER R_A charge, never weaker.
|
| 144 |
+
BETA_A = float(os.environ.get("FS16_BETA_A", "4.0"))
|
| 145 |
+
# Per-group gradient clipping instead of one global norm.
|
| 146 |
+
GROUP_CLIP = os.environ.get("FS16_GROUP_CLIP", "1") == "1"
|
| 147 |
+
# Frozen, domain-separated evaluation panel; evaluation never touches train RNG.
|
| 148 |
+
FROZEN_PANEL = os.environ.get("FS16_FROZEN_PANEL", "1") == "1"
|
| 149 |
+
LR_WARMUP = int(os.environ.get("FS16_LR_WARMUP", "500"))
|
| 150 |
+
LR_FLOOR = float(os.environ.get("FS16_LR_FLOOR", "0.02"))
|
| 151 |
+
EPS = float(os.environ.get("FS16_EPS", "0.05"))
|
| 152 |
+
EVAL_EVERY = int(os.environ.get("FS16_EVAL_EVERY", "1000"))
|
| 153 |
+
# evaluation sample sizes; a reading must be able to carry a gate
|
| 154 |
+
EVAL_WORDS = int(os.environ.get("FS16_EVAL_WORDS", "4"))
|
| 155 |
+
EVAL_EVENTS_PER_WORD = int(os.environ.get("FS16_EVAL_EVENTS", "2"))
|
| 156 |
+
EVAL_BIND = int(os.environ.get("FS16_EVAL_BIND", "16"))
|
| 157 |
+
EVAL_PURITY = int(os.environ.get("FS16_EVAL_PURITY", "4"))
|
| 158 |
+
ORACLE_STEPS = int(os.environ.get("FS16_ORACLE_STEPS", "3000"))
|
| 159 |
+
ORACLE_ONLY = os.environ.get("FS16_ORACLE_ONLY", "0") == "1"
|
| 160 |
+
# 0.02 bits for every registered run; env override exists ONLY so the
|
| 161 |
+
# plumbing smoke can run at toy widths that cannot meet the certificate
|
| 162 |
+
ORACLE_ENT_TOL = float(os.environ.get("FS16_ORACLE_ENT_TOL", "0.02"))
|
| 163 |
+
RESULTS_REPO = os.environ.get("FS16_RESULTS_REPO", "deepadapt/trident-ec")
|
| 164 |
+
|
| 165 |
+
# The registered G1-FS16 certification geometry (10.5.2). Two independent
|
| 166 |
+
# accidents made this a structural matter rather than a naming convention:
|
| 167 |
+
# (i) every seed of an arm wrote to `g1fs16_{ARM}.json`, so three concurrent
|
| 168 |
+
# seed jobs silently overwrote each other and a 3/3-seed verdict could not be
|
| 169 |
+
# assembled from the artifacts at all; (ii) a toy-width CPU smoke published
|
| 170 |
+
# over a registered field artifact, and it differed only in
|
| 171 |
+
# m_records/carrier/closure/slots -- nothing a reader of the filename could
|
| 172 |
+
# have noticed. So the path now carries the seed, and any deviation from the
|
| 173 |
+
# geometry below is diverted to `scratch/` at construction time. Publishing
|
| 174 |
+
# correctly is no longer something anyone has to remember to do.
|
| 175 |
+
CERT_GEOMETRY = {"events": 2, "m_records": 16, "d": 64, "layers": 3,
|
| 176 |
+
"carrier": 256, "train_depth": 10, "closure": 16,
|
| 177 |
+
"slots": 16}
|
| 178 |
+
|
| 179 |
+
|
| 180 |
+
def _geometry() -> Dict[str, int]:
|
| 181 |
+
return {"events": EVENTS, "m_records": M_REC, "d": D_MODEL,
|
| 182 |
+
"layers": N_LAYERS, "carrier": CARRIER,
|
| 183 |
+
"train_depth": TRAIN_DEPTH, "closure": CLOSURE, "slots": N_SLOTS}
|
| 184 |
+
|
| 185 |
+
|
| 186 |
+
def _off_law() -> Dict[str, str]:
|
| 187 |
+
"""Law-bearing dimensions in which this run departs from the registered
|
| 188 |
+
geometry. Empty for a certification run."""
|
| 189 |
+
live = _geometry()
|
| 190 |
+
return {k: f"{live[k]} != {v}"
|
| 191 |
+
for k, v in CERT_GEOMETRY.items() if live[k] != v}
|
| 192 |
+
|
| 193 |
+
|
| 194 |
+
OFF_LAW = _off_law()
|
| 195 |
+
RESULT_FILE = os.environ.get("FS16_RESULT_FILE") or (
|
| 196 |
+
("scratch/" if OFF_LAW else "")
|
| 197 |
+
+ f"g1fs16_{ARM}_s{'-'.join(str(s) for s in SEEDS)}.json")
|
| 198 |
+
NONCE_MAX = int(os.environ.get("FS16_NONCE_MAX", "32"))
|
| 199 |
+
|
| 200 |
+
REC_LEN = 32
|
| 201 |
+
N_PAIRS = 8
|
| 202 |
+
PROG_BYTES = 16
|
| 203 |
+
PAD = ord(".")
|
| 204 |
+
K_CODES = 2
|
| 205 |
+
|
| 206 |
+
torch.set_float32_matmul_precision("high")
|
| 207 |
+
|
| 208 |
+
|
| 209 |
+
# ---------------------------------------------------------------------------
|
| 210 |
+
# corpus: collision-free free semigroup of random byte permutations
|
| 211 |
+
# ---------------------------------------------------------------------------
|
| 212 |
+
|
| 213 |
+
def _stream(nonce: int, gen: int, counter: int) -> int:
|
| 214 |
+
h = hashlib.sha256(
|
| 215 |
+
b"TRIDENT-G1-FS16-v1" + nonce.to_bytes(4, "big")
|
| 216 |
+
+ gen.to_bytes(1, "big") + counter.to_bytes(8, "big")).digest()
|
| 217 |
+
return int.from_bytes(h[:8], "big")
|
| 218 |
+
|
| 219 |
+
|
| 220 |
+
def _permutation(nonce: int, gen: int) -> np.ndarray:
|
| 221 |
+
"""Fisher-Yates with rejection sampling (never modulo-biased)."""
|
| 222 |
+
p = np.arange(256, dtype=np.uint8)
|
| 223 |
+
counter = 0
|
| 224 |
+
for i in range(255, 0, -1):
|
| 225 |
+
m = i + 1
|
| 226 |
+
limit = (1 << 64) - ((1 << 64) % m)
|
| 227 |
+
while True:
|
| 228 |
+
r = _stream(nonce, gen, counter)
|
| 229 |
+
counter += 1
|
| 230 |
+
if r < limit:
|
| 231 |
+
break
|
| 232 |
+
j = r % m
|
| 233 |
+
p[i], p[j] = p[j], p[i]
|
| 234 |
+
return p
|
| 235 |
+
|
| 236 |
+
|
| 237 |
+
def _closure_is_collision_free(perms: List[np.ndarray],
|
| 238 |
+
depth: int) -> bool:
|
| 239 |
+
"""All words of depth 0..depth induce distinct permutations."""
|
| 240 |
+
seen = {np.arange(256, dtype=np.uint8).tobytes()}
|
| 241 |
+
frontier = [np.arange(256, dtype=np.uint8)]
|
| 242 |
+
for _ in range(depth):
|
| 243 |
+
nxt = []
|
| 244 |
+
for cur in frontier:
|
| 245 |
+
for p in perms:
|
| 246 |
+
comp = p[cur] # sigma_g o sigma_w
|
| 247 |
+
key = comp.tobytes()
|
| 248 |
+
if key in seen:
|
| 249 |
+
return False
|
| 250 |
+
seen.add(key)
|
| 251 |
+
nxt.append(comp)
|
| 252 |
+
frontier = nxt
|
| 253 |
+
return True
|
| 254 |
+
|
| 255 |
+
|
| 256 |
+
def find_nonce(depth: int) -> Tuple[int, List[np.ndarray]]:
|
| 257 |
+
for nonce in range(NONCE_MAX):
|
| 258 |
+
perms = [_permutation(nonce, g) for g in range(K_CODES)]
|
| 259 |
+
if _closure_is_collision_free(perms, depth):
|
| 260 |
+
return nonce, perms
|
| 261 |
+
raise RuntimeError("no collision-free nonce found")
|
| 262 |
+
|
| 263 |
+
|
| 264 |
+
def word_perm(perms: List[np.ndarray], w: Tuple[int, ...]) -> np.ndarray:
|
| 265 |
+
out = np.arange(256, dtype=np.uint8)
|
| 266 |
+
for g in w:
|
| 267 |
+
out = perms[g][out]
|
| 268 |
+
return out
|
| 269 |
+
|
| 270 |
+
|
| 271 |
+
def enumerate_words(depth_lo: int, depth_hi: int) -> List[Tuple[int, ...]]:
|
| 272 |
+
out: List[Tuple[int, ...]] = []
|
| 273 |
+
for d in range(depth_lo, depth_hi + 1):
|
| 274 |
+
if d == 0:
|
| 275 |
+
out.append(())
|
| 276 |
+
else:
|
| 277 |
+
out.extend(itertools.product(range(K_CODES), repeat=d))
|
| 278 |
+
return out
|
| 279 |
+
|
| 280 |
+
|
| 281 |
+
def make_event(word: Tuple[int, ...], perm: np.ndarray,
|
| 282 |
+
rng: np.random.Generator) -> np.ndarray:
|
| 283 |
+
"""M records, 32 bytes each, sharing one program."""
|
| 284 |
+
prog = np.full(PROG_BYTES, PAD, dtype=np.uint8)
|
| 285 |
+
for j, g in enumerate(word):
|
| 286 |
+
prog[j] = ord("P") + g
|
| 287 |
+
xs = rng.integers(0, 256, size=(M_REC, N_PAIRS)).astype(np.uint8)
|
| 288 |
+
rec = np.empty((M_REC, REC_LEN), dtype=np.uint8)
|
| 289 |
+
rec[:, :PROG_BYTES] = prog
|
| 290 |
+
rec[:, PROG_BYTES::2] = xs
|
| 291 |
+
rec[:, PROG_BYTES + 1::2] = perm[xs]
|
| 292 |
+
return rec
|
| 293 |
+
|
| 294 |
+
|
| 295 |
+
# ---------------------------------------------------------------------------
|
| 296 |
+
# model
|
| 297 |
+
# ---------------------------------------------------------------------------
|
| 298 |
+
|
| 299 |
+
class FS16Probe(nn.Module):
|
| 300 |
+
def __init__(self, arm: str):
|
| 301 |
+
super().__init__()
|
| 302 |
+
self.arm = arm
|
| 303 |
+
self.spine = Core5(Core5Config(d_model=D_MODEL, n_layers=N_LAYERS))
|
| 304 |
+
self.field: Optional[M3Field] = None
|
| 305 |
+
if arm != "no_opfield":
|
| 306 |
+
self.field = M3Field(M3Config(
|
| 307 |
+
d_model=D_MODEL, n_codes=K_CODES, carrier=CARRIER,
|
| 308 |
+
d_compile=D_COMPILE, n_slots=N_SLOTS,
|
| 309 |
+
train_depth=TRAIN_DEPTH, closure_depth=CLOSURE,
|
| 310 |
+
tie_actions=(arm == "dense_shared"), act_init=ACT_INIT,
|
| 311 |
+
byte_local=BYTE_LOCAL))
|
| 312 |
+
if arm == "random_frozen":
|
| 313 |
+
self.field.F_raw.requires_grad_(False)
|
| 314 |
+
self.field.S.requires_grad_(False)
|
| 315 |
+
|
| 316 |
+
def base_decode(self, xb: Tensor) -> Tensor:
|
| 317 |
+
"""The model's OWN context-free byte decode (shared tensors)."""
|
| 318 |
+
if xb.dtype == torch.long:
|
| 319 |
+
e = self.spine.embed(xb)
|
| 320 |
+
else:
|
| 321 |
+
e = xb @ self.spine.embed.weight[:256]
|
| 322 |
+
return self.spine.head(self.spine.norm_f(e))
|
| 323 |
+
|
| 324 |
+
def spine_pass(self, rec: Tensor) -> Tuple[Tensor, Tensor]:
|
| 325 |
+
"""(B,32) records -> (logits (B,32,256), states (B,32,d))."""
|
| 326 |
+
B = rec.shape[0]
|
| 327 |
+
bos = torch.full((B, 1), BOS_ID, dtype=torch.long,
|
| 328 |
+
device=rec.device)
|
| 329 |
+
ids = torch.cat([bos, rec[:, :-1]], dim=1)
|
| 330 |
+
x = self.spine.embed(ids)
|
| 331 |
+
for n1, mix, n2, mlp in self.spine.blocks:
|
| 332 |
+
y, _ = mix(n1(x), None)
|
| 333 |
+
x = x + y
|
| 334 |
+
x = x + mlp(n2(x))
|
| 335 |
+
h = self.spine.norm_f(x)
|
| 336 |
+
return self.spine.head(h), h
|
| 337 |
+
|
| 338 |
+
|
| 339 |
+
def target_positions() -> Tuple[List[int], List[int]]:
|
| 340 |
+
xpos = [PROG_BYTES + 2 * j for j in range(N_PAIRS)]
|
| 341 |
+
ypos = [PROG_BYTES + 2 * j + 1 for j in range(N_PAIRS)]
|
| 342 |
+
return xpos, ypos
|
| 343 |
+
|
| 344 |
+
|
| 345 |
+
# ---------------------------------------------------------------------------
|
| 346 |
+
# oracle capacity certificate (training-only diagnostic, never deployed)
|
| 347 |
+
# ---------------------------------------------------------------------------
|
| 348 |
+
|
| 349 |
+
def oracle_certificate(model: FS16Probe, perms: List[np.ndarray],
|
| 350 |
+
seed: int) -> Dict[str, object]:
|
| 351 |
+
"""Force singleton words; require exact composition to depth CLOSURE."""
|
| 352 |
+
field = model.field
|
| 353 |
+
params = [field.F_raw, field.S, model.spine.embed.weight,
|
| 354 |
+
model.spine.head.weight, model.spine.norm_f.g]
|
| 355 |
+
opt = torch.optim.AdamW([p for p in params if p.requires_grad],
|
| 356 |
+
lr=3e-3, weight_decay=0.0)
|
| 357 |
+
rng = np.random.default_rng(7000 + seed)
|
| 358 |
+
P = torch.from_numpy(np.stack(perms)).long().to(DEVICE)
|
| 359 |
+
for step in range(ORACLE_STEPS):
|
| 360 |
+
x = torch.from_numpy(
|
| 361 |
+
rng.integers(0, 256, size=256).astype(np.int64)).to(DEVICE)
|
| 362 |
+
loss = 0.0
|
| 363 |
+
for g in range(K_CODES):
|
| 364 |
+
logits, _ = field.chain(x, (g,), model.base_decode, hard=False)
|
| 365 |
+
loss = loss + torch.nn.functional.cross_entropy(
|
| 366 |
+
logits, P[g][x])
|
| 367 |
+
opt.zero_grad(set_to_none=True)
|
| 368 |
+
loss.backward()
|
| 369 |
+
opt.step()
|
| 370 |
+
if step % 500 == 0:
|
| 371 |
+
print(f"[oracle-s{seed}] step {step} loss {float(loss):.5f}",
|
| 372 |
+
flush=True)
|
| 373 |
+
allx = torch.arange(256, device=DEVICE)
|
| 374 |
+
worst_acc, worst_depth, max_ent = 1.0, -1, 0.0
|
| 375 |
+
with torch.no_grad():
|
| 376 |
+
for d in range(1, CLOSURE + 1):
|
| 377 |
+
probe = [tuple(rng.integers(0, K_CODES, size=d).tolist())
|
| 378 |
+
for _ in range(4)] if d > 3 else \
|
| 379 |
+
list(itertools.product(range(K_CODES), repeat=d))
|
| 380 |
+
for w in probe:
|
| 381 |
+
logits, ent = field.chain(allx, w, model.base_decode,
|
| 382 |
+
hard=True)
|
| 383 |
+
tgt = torch.from_numpy(
|
| 384 |
+
word_perm(perms, w).astype(np.int64)).to(DEVICE)
|
| 385 |
+
acc = float(logits.argmax(-1).eq(tgt).float().mean())
|
| 386 |
+
if acc < worst_acc:
|
| 387 |
+
worst_acc, worst_depth = acc, d
|
| 388 |
+
max_ent = max(max_ent, float(ent.max()) / max(1, d - 1))
|
| 389 |
+
ok = worst_acc >= 1.0 - 1e-9 and max_ent < ORACLE_ENT_TOL
|
| 390 |
+
print(f"[oracle-s{seed}] worst_acc={worst_acc:.4f} at depth "
|
| 391 |
+
f"{worst_depth}, max_mid_entropy={max_ent:.4f} -> "
|
| 392 |
+
f"{'PASS' if ok else 'FAIL'}", flush=True)
|
| 393 |
+
return {"worst_acc": worst_acc, "worst_depth": worst_depth,
|
| 394 |
+
"max_mid_entropy": max_ent, "pass": ok}
|
| 395 |
+
|
| 396 |
+
|
| 397 |
+
# ---------------------------------------------------------------------------
|
| 398 |
+
# primary training: exact event codelength
|
| 399 |
+
# ---------------------------------------------------------------------------
|
| 400 |
+
|
| 401 |
+
def _slot_logits(field, rec: Tensor, states: Tensor) -> Tensor:
|
| 402 |
+
"""Compiler read, contextual or byte-local.
|
| 403 |
+
|
| 404 |
+
The contextual path reads causal spine state, so the same program byte can
|
| 405 |
+
map to different codes after different prefixes and w(uv) = w(u)w(v) is
|
| 406 |
+
not enforced -- the mechanism behind the purity failure in the registered
|
| 407 |
+
24k matrix. The byte-local path makes the symbol map stationary by
|
| 408 |
+
construction. Default is byte-local; BYTE_LOCAL=0 reproduces the
|
| 409 |
+
registered matrix exactly."""
|
| 410 |
+
if BYTE_LOCAL:
|
| 411 |
+
return field.slot_logits_bytes(rec[:1, :N_SLOTS])
|
| 412 |
+
return field.slot_logits(states[:1, 1:1 + N_SLOTS])
|
| 413 |
+
|
| 414 |
+
|
| 415 |
+
def event_codelength(model: FS16Probe, rec: Tensor, words, onehot,
|
| 416 |
+
wlen: Tensor, salt: int, lam_mid: float = LAM_MID,
|
| 417 |
+
st: bool = ST) -> Tuple[Tensor, Tensor, Tensor]:
|
| 418 |
+
"""Returns (prefix_bits scalar, per-word event bits (W,), prior (W,))."""
|
| 419 |
+
logits, states = model.spine_pass(rec)
|
| 420 |
+
logp = torch.log_softmax(logits.float(), -1)
|
| 421 |
+
nll = -logp.gather(2, rec.unsqueeze(2)).squeeze(2) / math.log(2.0)
|
| 422 |
+
xpos, ypos = target_positions()
|
| 423 |
+
prefix_bits = nll.sum() - nll[:, ypos].sum()
|
| 424 |
+
|
| 425 |
+
if model.field is None:
|
| 426 |
+
return prefix_bits, nll[:, ypos].sum().unsqueeze(0), \
|
| 427 |
+
torch.zeros(1, device=rec.device)
|
| 428 |
+
|
| 429 |
+
field = model.field
|
| 430 |
+
if model.arm == "shuffled":
|
| 431 |
+
g = torch.Generator().manual_seed(salt)
|
| 432 |
+
perm = torch.randperm(K_CODES, generator=g).tolist()
|
| 433 |
+
words_exec = [tuple(perm[c] for c in w) for w in words]
|
| 434 |
+
else:
|
| 435 |
+
words_exec = words
|
| 436 |
+
|
| 437 |
+
x = rec[:, xpos].reshape(-1) # (M*8,)
|
| 438 |
+
y = rec[:, ypos].reshape(-1)
|
| 439 |
+
# FULL M3 logits, exactly the executor the oracle certifies. The spine's
|
| 440 |
+
# contextual answer logits are deliberately NOT the base here: the law's
|
| 441 |
+
# own b(z_{L-1}) term is what the certificate covers, and substituting a
|
| 442 |
+
# contextual base made latent execution differ from the certified
|
| 443 |
+
# executor. It also makes the field's task strictly harder than the
|
| 444 |
+
# no-field control's, which keeps its contextual spine readout.
|
| 445 |
+
word_logits, ent = field.tree_execute(
|
| 446 |
+
x, words_exec, model.base_decode, hard=False, st=st)
|
| 447 |
+
lp = torch.log_softmax(word_logits.float(), -1)
|
| 448 |
+
ans_bits = -lp.gather(2, y.view(1, -1, 1).expand(lp.shape[0], -1, 1)
|
| 449 |
+
).squeeze(2) / math.log(2.0) # (W,N)
|
| 450 |
+
per_word = (ans_bits.sum(1) + lam_mid * ent.sum(1)
|
| 451 |
+
+ LAM_CPU * x.shape[0] * wlen
|
| 452 |
+
+ LAM_A * wlen * math.log2(K_CODES))
|
| 453 |
+
prior = field.word_scores_indexed(_slot_logits(field, rec, states),
|
| 454 |
+
onehot).squeeze(0)
|
| 455 |
+
return prefix_bits, per_word, prior
|
| 456 |
+
|
| 457 |
+
|
| 458 |
+
PREFIX_R = float(os.environ.get("FS16_PREFIX_R", "0.5"))
|
| 459 |
+
STRATIFIED = os.environ.get("FS16_STRATIFIED", "1") == "1"
|
| 460 |
+
|
| 461 |
+
|
| 462 |
+
def _strata(words):
|
| 463 |
+
"""Partition the enumerated support by length class: empty / 1 / >=2.
|
| 464 |
+
|
| 465 |
+
The strata are a property of the word lattice only -- lengths, nothing
|
| 466 |
+
else -- so stratifying carries no task signal and leaves the estimator
|
| 467 |
+
permutation-equivariant in the codes."""
|
| 468 |
+
lens = [len(w) for w in words]
|
| 469 |
+
masks = []
|
| 470 |
+
for pred in (lambda n: n == 0, lambda n: n == 1, lambda n: n >= 2):
|
| 471 |
+
m = torch.tensor([pred(n) for n in lens], device=DEVICE)
|
| 472 |
+
if bool(m.any()):
|
| 473 |
+
masks.append(m)
|
| 474 |
+
return masks
|
| 475 |
+
|
| 476 |
+
|
| 477 |
+
def _prefix_floor(words, depth):
|
| 478 |
+
"""Exchangeable prefix-process floor rho_r over the enumerated words.
|
| 479 |
+
|
| 480 |
+
The uniform eps/W floor spreads exploration mass evenly over every word,
|
| 481 |
+
and because words of depth d outnumber shorter ones geometrically, almost
|
| 482 |
+
all of that mass lands on LONG random aliases while each single primitive
|
| 483 |
+
gets eps/W. At eps=0.05 over 2047 words a singleton floor is 2.4e-05, so
|
| 484 |
+
displacing a collapsed blank incumbent costs beta*log2(0.95/2.4e-05) = 61.3
|
| 485 |
+
bits -- and that is the same barrier that (correctly) stops random aliases.
|
| 486 |
+
Raising it protects against aliases and imprisons the first REAL code;
|
| 487 |
+
lowering it frees the code and reopens alias lock-in. Tuning beta cannot
|
| 488 |
+
separate them because it scales both.
|
| 489 |
+
|
| 490 |
+
Length can. Generate a word by stopping with probability (1-r), else
|
| 491 |
+
emitting one of K exchangeable codes, with forced termination at the cap:
|
| 492 |
+
|
| 493 |
+
rho_r(w) = (1-r) (r/K)^|w| |w| < D
|
| 494 |
+
= (r/K)^D |w| = D
|
| 495 |
+
|
| 496 |
+
which is normalized by construction. At r=1/2, K=2 a singleton floor is
|
| 497 |
+
eps/8 while a depth-10 alias floor is eps*(1/4)^10, so the singleton
|
| 498 |
+
barrier falls to 29.14 bits -- comfortably above the 15.9-bit largest
|
| 499 |
+
accidental advantage measured at init by scripts/beta_barrier.py -- while
|
| 500 |
+
the depth-10 alias barrier RISES to 97.14 bits. Escape and stability stop
|
| 501 |
+
competing.
|
| 502 |
+
|
| 503 |
+
A0: rho_r reads only K, D and |w|. It never sees a byte, a task id, a
|
| 504 |
+
label, an operator meaning or a verifier, and it is invariant under
|
| 505 |
+
relabelling of the codes, so it is an admissible R_A coding measure rather
|
| 506 |
+
than a task-shaped prior.
|
| 507 |
+
"""
|
| 508 |
+
r, K = PREFIX_R, K_CODES
|
| 509 |
+
out = torch.empty(len(words), device=DEVICE)
|
| 510 |
+
for i, w in enumerate(words):
|
| 511 |
+
n = len(w)
|
| 512 |
+
if n >= depth:
|
| 513 |
+
lp = n * math.log(r / K)
|
| 514 |
+
else:
|
| 515 |
+
lp = math.log1p(-r) + n * math.log(r / K)
|
| 516 |
+
out[i] = lp
|
| 517 |
+
# renormalize over the ENUMERATED support: the cap means the tail beyond
|
| 518 |
+
# `depth` is unreachable here, and an unnormalized floor would silently
|
| 519 |
+
# change the total rate charge rather than only its shape.
|
| 520 |
+
out = out - torch.logsumexp(out, dim=0)
|
| 521 |
+
return out + math.log(EPS)
|
| 522 |
+
|
| 523 |
+
|
| 524 |
+
def train_one(seed: int, perms: List[np.ndarray],
|
| 525 |
+
out: Dict[str, object], on_progress=None
|
| 526 |
+
) -> Dict[str, object]:
|
| 527 |
+
torch.manual_seed(seed)
|
| 528 |
+
model = FS16Probe(ARM).to(DEVICE)
|
| 529 |
+
out["seed"] = seed
|
| 530 |
+
|
| 531 |
+
if model.field is not None:
|
| 532 |
+
out["oracle"] = oracle_certificate(model, perms, seed)
|
| 533 |
+
# The certificate is a validity gate for the PRIMARY arm only: it
|
| 534 |
+
# asks whether the executor could represent the maps at all, so a
|
| 535 |
+
# failure there means the instrument is broken and no G1 evidence
|
| 536 |
+
# exists. For a control it asks nothing of the sort. RANDOM-FROZEN
|
| 537 |
+
# freezes the actions and DENSE-SHARED ties them to one, so both
|
| 538 |
+
# MUST fail a capacity certificate -- that failure IS the crippling
|
| 539 |
+
# the control exists to impose. Aborting them as invalid apparatus
|
| 540 |
+
# (which is what happened, silently, to both arms) would leave the
|
| 541 |
+
# purity comparison with no controls at all.
|
| 542 |
+
if ARM == "field" and not out["oracle"]["pass"]:
|
| 543 |
+
out["verdict"] = "INVALID-APPARATUS"
|
| 544 |
+
return out
|
| 545 |
+
if ORACLE_ONLY:
|
| 546 |
+
out["verdict"] = "ORACLE-ONLY"
|
| 547 |
+
return out
|
| 548 |
+
torch.manual_seed(seed) # discard oracle weights
|
| 549 |
+
model = FS16Probe(ARM).to(DEVICE)
|
| 550 |
+
|
| 551 |
+
# one alphabet per curriculum depth; each is prefix-closed, so the
|
| 552 |
+
# level-batched executor consumes it directly
|
| 553 |
+
alpha: Dict[int, Tuple] = {}
|
| 554 |
+
for dd in range(1, TRAIN_DEPTH + 1):
|
| 555 |
+
ws = enumerate_words(0, dd)
|
| 556 |
+
alpha[dd] = (
|
| 557 |
+
ws,
|
| 558 |
+
(model.field.alphabet_onehot(ws).to(DEVICE)
|
| 559 |
+
if model.field is not None else None),
|
| 560 |
+
torch.tensor([float(len(w)) for w in ws], device=DEVICE),
|
| 561 |
+
math.log(EPS / len(ws)),
|
| 562 |
+
_prefix_floor(ws, dd),
|
| 563 |
+
_strata(ws))
|
| 564 |
+
|
| 565 |
+
# EXHAUSTIVE OWNERSHIP, not suffix guessing.
|
| 566 |
+
#
|
| 567 |
+
# The previous partition looked for {"W_c.weight", "e_code", "e_blank"} --
|
| 568 |
+
# but under byte_local=True there IS no W_c, so the "compiler" group held
|
| 569 |
+
# only the two symbol vectors while `E_byte` and `W_b.weight` -- the exact
|
| 570 |
+
# parameters that let P, Q and PAD acquire DISTINCT representations -- fell
|
| 571 |
+
# into the spine group and were clipped against its ~3915 norm. `field.S`
|
| 572 |
+
# went with them. So the 2260x throttle was only half repaired: the symbol
|
| 573 |
+
# vectors were freed and the byte READER was not, which is why the seed born
|
| 574 |
+
# with a distinct map held while the blank-born seeds could never repair
|
| 575 |
+
# theirs. A missing name silently degraded to "spine", which is the failure
|
| 576 |
+
# mode that has now cost this line two matrices.
|
| 577 |
+
#
|
| 578 |
+
# Ownership is therefore explicit and total: every trainable parameter must
|
| 579 |
+
# belong to exactly one group, and an unowned parameter ABORTS rather than
|
| 580 |
+
# being absorbed by whichever group happens to catch it.
|
| 581 |
+
groups: dict[str, list] = {
|
| 582 |
+
"compiler_symbols": [], # e_code, e_blank -- the symbol map
|
| 583 |
+
"compiler_reader": [], # E_byte, W_b, W_c -- byte -> symbol
|
| 584 |
+
"actions": [], # F_raw -- the semigroup
|
| 585 |
+
"carrier": [], # S -- readout carrier
|
| 586 |
+
"spine": [],
|
| 587 |
+
}
|
| 588 |
+
OWNERS = (
|
| 589 |
+
("compiler_symbols", ("e_code", "e_blank")),
|
| 590 |
+
("compiler_reader", ("E_byte", "W_b.weight", "W_c.weight")),
|
| 591 |
+
("actions", ("F_raw",)),
|
| 592 |
+
("carrier", ("field.S",)),
|
| 593 |
+
)
|
| 594 |
+
unowned = []
|
| 595 |
+
for n, p in model.named_parameters():
|
| 596 |
+
if not p.requires_grad:
|
| 597 |
+
continue
|
| 598 |
+
for group, suffixes in OWNERS:
|
| 599 |
+
if any(n == s or n.endswith("." + s) or n.endswith(s)
|
| 600 |
+
for s in suffixes):
|
| 601 |
+
groups[group].append((n, p))
|
| 602 |
+
break
|
| 603 |
+
else:
|
| 604 |
+
if n.startswith("spine."):
|
| 605 |
+
groups["spine"].append((n, p))
|
| 606 |
+
else:
|
| 607 |
+
unowned.append(n)
|
| 608 |
+
if unowned:
|
| 609 |
+
raise SystemExit(
|
| 610 |
+
"optimizer ownership is not exhaustive; these trainable tensors "
|
| 611 |
+
"belong to no declared group and would be clipped against "
|
| 612 |
+
f"whichever group caught them: {unowned}")
|
| 613 |
+
seen: dict[int, str] = {}
|
| 614 |
+
for gname, items in groups.items():
|
| 615 |
+
for n, p in items:
|
| 616 |
+
if id(p) in seen:
|
| 617 |
+
raise SystemExit(
|
| 618 |
+
f"parameter {n} is owned by both {seen[id(p)]} and {gname}")
|
| 619 |
+
seen[id(p)] = gname
|
| 620 |
+
if model.field is not None:
|
| 621 |
+
for gname in ("compiler_symbols", "compiler_reader", "actions",
|
| 622 |
+
"carrier"):
|
| 623 |
+
if not groups[gname]:
|
| 624 |
+
raise SystemExit(
|
| 625 |
+
f"group {gname} is empty while a field is present; the "
|
| 626 |
+
f"partition no longer matches the nucleus")
|
| 627 |
+
print("[opt] " + " ".join(
|
| 628 |
+
f"{g}={[n for n, _ in items]}" for g, items in groups.items()
|
| 629 |
+
if g != "spine"), flush=True)
|
| 630 |
+
|
| 631 |
+
comp = [p for _, p in groups["compiler_symbols"]]
|
| 632 |
+
reader = [p for _, p in groups["compiler_reader"]]
|
| 633 |
+
actions = [p for _, p in groups["actions"]]
|
| 634 |
+
carrier = [p for _, p in groups["carrier"]]
|
| 635 |
+
rest = [p for _, p in groups["spine"]]
|
| 636 |
+
# The code actions get NO weight decay. They are initialized at
|
| 637 |
+
# I + noise, and 0.01 decay over 24k updates at lr 1e-3 multiplies that
|
| 638 |
+
# identity component by exp(-0.24) = 0.787 -- the optimizer was quietly
|
| 639 |
+
# dismantling the very structure the oracle certifies, and the oracle
|
| 640 |
+
# itself runs decay-free, so the two were not even the same executor.
|
| 641 |
+
opt = torch.optim.AdamW(
|
| 642 |
+
[{"params": rest, "lr": LR},
|
| 643 |
+
{"params": comp, "lr": COMP_LR},
|
| 644 |
+
# the reader keeps the nominal LR: it was never meant to be slowed,
|
| 645 |
+
# only to be clipped on its own norm instead of the spine's
|
| 646 |
+
{"params": reader, "lr": LR},
|
| 647 |
+
{"params": carrier, "lr": LR},
|
| 648 |
+
{"params": actions, "lr": LR, "weight_decay": 0.0}],
|
| 649 |
+
weight_decay=0.01)
|
| 650 |
+
for g in opt.param_groups:
|
| 651 |
+
g["base_lr"] = g["lr"]
|
| 652 |
+
# Every declared group clips on its OWN norm. The reader and carrier were
|
| 653 |
+
# previously inside `spine` and therefore inside its ~3915 norm.
|
| 654 |
+
clip_groups = {"compiler_symbols": comp, "compiler_reader": reader,
|
| 655 |
+
"actions": actions, "carrier": carrier, "spine": rest}
|
| 656 |
+
clip_norms: Dict[str, float] = {}
|
| 657 |
+
|
| 658 |
+
rng = np.random.default_rng(3000 + seed)
|
| 659 |
+
# Evaluation must not share the training stream. It did: `evaluate` drew
|
| 660 |
+
# from `rng`, and a field arm draws extra binding and purity samples that
|
| 661 |
+
# NO-OPFIELD never draws, so the training bytes AFTER the first evaluation
|
| 662 |
+
# were not identical across arms -- a control-validity defect, and a
|
| 663 |
+
# confound for every mid-run swing, since a resampled panel makes
|
| 664 |
+
# evaluation noise look like training instability. The panel is now
|
| 665 |
+
# frozen once, domain-separated, and shared by every checkpoint and every
|
| 666 |
+
# matched control.
|
| 667 |
+
eval_rng = np.random.default_rng(0xE7A1_0000 + seed)
|
| 668 |
+
train_words = enumerate_words(0, TRAIN_DEPTH)
|
| 669 |
+
by_depth = {d: [w for w in train_words if len(w) == d]
|
| 670 |
+
for d in range(TRAIN_DEPTH + 1)}
|
| 671 |
+
cursor = {d: 0 for d in by_depth}
|
| 672 |
+
hist, t0 = [], time.time()
|
| 673 |
+
|
| 674 |
+
for step in range(STEPS):
|
| 675 |
+
frac = step / max(1, STEPS - 1)
|
| 676 |
+
lam_mid = (LAM_MID if MID_WARMUP <= 0
|
| 677 |
+
else LAM_MID * min(1.0, frac / MID_WARMUP))
|
| 678 |
+
cur_depth = (TRAIN_DEPTH if CURRIC <= 0 else
|
| 679 |
+
1 + int((TRAIN_DEPTH - 1) * min(1.0, frac / CURRIC)))
|
| 680 |
+
st_now = ST or (ST_AFTER > 0 and frac >= ST_AFTER)
|
| 681 |
+
words, onehot, wlen, log_eps, log_floor, strata = alpha[cur_depth]
|
| 682 |
+
total = 0.0
|
| 683 |
+
bits = 0.0
|
| 684 |
+
for _ in range(EVENTS):
|
| 685 |
+
d = step % (cur_depth + 1)
|
| 686 |
+
pool = by_depth[d]
|
| 687 |
+
w = pool[cursor[d] % len(pool)]
|
| 688 |
+
cursor[d] += 1
|
| 689 |
+
rec = torch.from_numpy(
|
| 690 |
+
make_event(w, word_perm(perms, w), rng).astype(np.int64)
|
| 691 |
+
).to(DEVICE)
|
| 692 |
+
pre, per_word, prior = event_codelength(
|
| 693 |
+
model, rec, words, onehot, wlen, salt=step, lam_mid=lam_mid,
|
| 694 |
+
st=st_now)
|
| 695 |
+
if model.field is None:
|
| 696 |
+
total = total + pre + per_word.sum()
|
| 697 |
+
bits = bits + float(pre) + float(per_word.sum())
|
| 698 |
+
continue
|
| 699 |
+
logpi = torch.log_softmax(prior, dim=-1)
|
| 700 |
+
mixed = torch.logaddexp(
|
| 701 |
+
logpi + math.log(1 - EPS),
|
| 702 |
+
log_floor if log_floor is not None
|
| 703 |
+
else torch.full_like(logpi, log_eps))
|
| 704 |
+
with torch.no_grad():
|
| 705 |
+
# beta-tempered posterior and the matching free energy.
|
| 706 |
+
#
|
| 707 |
+
# F_b = min_q [ E_q C_w + b * KL_2(q || pi_eps) ]
|
| 708 |
+
# = -b * log2 sum_w pi_eps(w) 2^(-C_w / b)
|
| 709 |
+
#
|
| 710 |
+
# Why this is needed: C_w sums 128 answer bytes, so an
|
| 711 |
+
# accidental advantage of 0.1 bit/byte is posterior odds of
|
| 712 |
+
# 2^12.8 ~ 7100. Over 2047 words the posterior is essentially
|
| 713 |
+
# one-hot on a RANDOM alias before any action has acquired
|
| 714 |
+
# meaning, and the run is then doing hard EM over aliases.
|
| 715 |
+
# Raising the rate price to b bits makes an alternative pay
|
| 716 |
+
# b*log2(W/eps) = 61.3 bits at b=4 before it can displace the
|
| 717 |
+
# incumbent, which random advantages should not clear while a
|
| 718 |
+
# correct action (saving ~998 bits) clears it easily.
|
| 719 |
+
#
|
| 720 |
+
# A0: C_w is L_post and the KL is R_A, both listed terms.
|
| 721 |
+
# b > 1 is a STRICTER rate charge than the minimum, never a
|
| 722 |
+
# weaker one, and the posterior stays training-only and
|
| 723 |
+
# equivariant under permutation of the codes.
|
| 724 |
+
q = torch.softmax(mixed - per_word * math.log(2.0) / BETA_A, -1)
|
| 725 |
+
# the honest codelength, always the exact marginal
|
| 726 |
+
code_bits = -torch.logsumexp(
|
| 727 |
+
mixed - per_word * math.log(2.0), dim=-1) / math.log(2.0)
|
| 728 |
+
if SAMPLED:
|
| 729 |
+
# EM M-step, sampled: E_q[C_w] has the same executor gradient
|
| 730 |
+
# as the marginal (q IS the posterior, so the envelope
|
| 731 |
+
# theorem applies) but the realized gradient runs through ONE
|
| 732 |
+
# word, so all M*8 answers in the event push a single coherent
|
| 733 |
+
# program. The full marginal instead pulls every action
|
| 734 |
+
# toward the posterior-mean word, which is not a word.
|
| 735 |
+
if STRATIFIED:
|
| 736 |
+
# STRATIFIED EM M-step. One draw from q almost always
|
| 737 |
+
# returns blank or a long word, so a primitive action can
|
| 738 |
+
# go thousands of steps with no coherent credit at all --
|
| 739 |
+
# and when the posterior sits on blank, the drawn word is
|
| 740 |
+
# the EMPTY one, which by a pinned nucleus invariant touches
|
| 741 |
+
# no action parameter, so the actions receive exactly zero
|
| 742 |
+
# gradient and the deadlock is permanent. Splitting the
|
| 743 |
+
# exact posterior by length and drawing one word per stratum
|
| 744 |
+
# guarantees a primitive gets a coherent update every event,
|
| 745 |
+
# while the composite stratum still contributes ONE coherent
|
| 746 |
+
# program rather than a posterior mean that is not a word.
|
| 747 |
+
#
|
| 748 |
+
# E[grad] = sum_j Q_j E_{w~q(.|S_j)}[grad C_w]
|
| 749 |
+
# = sum_w q(w) grad C_w
|
| 750 |
+
#
|
| 751 |
+
# i.e. the SAME L_post gradient, since q is detached. This
|
| 752 |
+
# is a variance-reduction of a listed term, not a new one.
|
| 753 |
+
exec_term = per_word.new_zeros(())
|
| 754 |
+
for mask in strata:
|
| 755 |
+
mass = float(q[mask].sum())
|
| 756 |
+
if mass <= 0.0:
|
| 757 |
+
continue
|
| 758 |
+
sub = q[mask] / mass
|
| 759 |
+
pick = int(torch.multinomial(sub, 1))
|
| 760 |
+
idx = int(mask.nonzero()[pick])
|
| 761 |
+
exec_term = exec_term + mass * per_word[idx]
|
| 762 |
+
else:
|
| 763 |
+
exec_term = per_word[int(torch.multinomial(q, 1))]
|
| 764 |
+
else:
|
| 765 |
+
# The compiler is trained ONLY by the mirror step below.
|
| 766 |
+
# Leaving the marginal attached to `prior` sent it a second,
|
| 767 |
+
# undeclared gradient on top of the mirror step.
|
| 768 |
+
exec_term = -torch.logsumexp(
|
| 769 |
+
mixed.detach() - per_word * math.log(2.0),
|
| 770 |
+
dim=-1) / math.log(2.0)
|
| 771 |
+
# base 2: the rest of this objective is bits, and log_softmax is
|
| 772 |
+
# natural log, so the mirror step was silently weighted by 1/ln2.
|
| 773 |
+
# Scaled by BETA_A so the mirror surrogate is the gradient of the
|
| 774 |
+
# same beta free energy the posterior above is drawn from, rather
|
| 775 |
+
# than of a different objective.
|
| 776 |
+
comp_loss = -BETA_A * (
|
| 777 |
+
q * torch.log_softmax(prior, -1)).sum() / math.log(2.0)
|
| 778 |
+
total = total + pre + exec_term + comp_loss
|
| 779 |
+
bits = bits + float(pre) + float(code_bits)
|
| 780 |
+
loss = total / max(1, EVENTS)
|
| 781 |
+
opt.zero_grad(set_to_none=True)
|
| 782 |
+
loss.backward()
|
| 783 |
+
if GROUP_CLIP:
|
| 784 |
+
# One global norm over compiler + actions + spine is positive
|
| 785 |
+
# feedback: the answer gradient sums 128 bytes through up to ten
|
| 786 |
+
# actions while the compiler gets a single mirror term, so the
|
| 787 |
+
# seed with the largest executor gradient receives the SMALLEST
|
| 788 |
+
# effective compiler update -- exactly the seed that needs the
|
| 789 |
+
# compiler to move. Seed 1 never left its initial basin.
|
| 790 |
+
# Clipping each group against its own norm removes the coupling.
|
| 791 |
+
# A0: a block-diagonal preconditioner carries no signal.
|
| 792 |
+
for gname, plist in clip_groups.items():
|
| 793 |
+
gs = [p for p in plist if p.grad is not None]
|
| 794 |
+
if gs:
|
| 795 |
+
n = torch.nn.utils.clip_grad_norm_(gs, 1.0)
|
| 796 |
+
clip_norms[gname] = float(n)
|
| 797 |
+
else:
|
| 798 |
+
clip_norms["global"] = float(torch.nn.utils.clip_grad_norm_(
|
| 799 |
+
[p for p in model.parameters() if p.requires_grad], 1.0))
|
| 800 |
+
# Linear warmup then cosine decay, applied to each group's own base LR.
|
| 801 |
+
# The completed 24k matrix ran with NO schedule at all -- a constant
|
| 802 |
+
# 1e-3 for the whole run -- and every field seed random-walked rather
|
| 803 |
+
# than converged: seed 0 reached 0.875 record-exact at 18k and fell to
|
| 804 |
+
# 0.625 by 24k. A constant step against a sharpening discrete
|
| 805 |
+
# posterior, with credit routed through one sampled word, cannot settle
|
| 806 |
+
# into a basin it has already found. Default is OFF so the registered
|
| 807 |
+
# matrix's law is reproduced exactly; COSINE=1 selects the new arm.
|
| 808 |
+
if COSINE:
|
| 809 |
+
if step < LR_WARMUP:
|
| 810 |
+
scale = (step + 1) / max(1, LR_WARMUP)
|
| 811 |
+
else:
|
| 812 |
+
p = (step - LR_WARMUP) / max(1, STEPS - LR_WARMUP)
|
| 813 |
+
scale = LR_FLOOR + (1 - LR_FLOOR) * 0.5 * (
|
| 814 |
+
1 + math.cos(math.pi * min(1.0, p)))
|
| 815 |
+
for g in opt.param_groups:
|
| 816 |
+
g["lr"] = g["base_lr"] * scale
|
| 817 |
+
opt.step()
|
| 818 |
+
|
| 819 |
+
if step % EVAL_EVERY == 0 or step == STEPS - 1:
|
| 820 |
+
# a FRESH generator from the frozen seed every time, so each
|
| 821 |
+
# checkpoint is scored on the identical panel and the training
|
| 822 |
+
# stream is untouched
|
| 823 |
+
row = evaluate(model, perms,
|
| 824 |
+
np.random.default_rng(0xE7A1_0000 + seed)
|
| 825 |
+
if FROZEN_PANEL else rng)
|
| 826 |
+
row.update({f"clip_{k}": round(v, 3)
|
| 827 |
+
for k, v in clip_norms.items()})
|
| 828 |
+
row.update({"step": step, "loss": float(loss),
|
| 829 |
+
"train_bits": round(bits / max(1, EVENTS), 2),
|
| 830 |
+
"lam_mid": round(lam_mid, 4),
|
| 831 |
+
"cur_depth": cur_depth, "st": int(st_now),
|
| 832 |
+
"s_per_step": round(
|
| 833 |
+
(time.time() - t0) / max(1, step), 4),
|
| 834 |
+
"wall_s": round(time.time() - t0, 1)})
|
| 835 |
+
hist.append(row)
|
| 836 |
+
print(f"[{ARM}-s{seed}] {row}", flush=True)
|
| 837 |
+
out["history"] = hist
|
| 838 |
+
out["final"] = row
|
| 839 |
+
if on_progress is not None:
|
| 840 |
+
on_progress()
|
| 841 |
+
|
| 842 |
+
out["history"] = hist
|
| 843 |
+
out["final"] = hist[-1] if hist else {}
|
| 844 |
+
return out
|
| 845 |
+
|
| 846 |
+
|
| 847 |
+
@torch.no_grad()
|
| 848 |
+
def _run_event(model: FS16Probe, w: Tuple[int, ...], perm: np.ndarray,
|
| 849 |
+
rng: np.random.Generator
|
| 850 |
+
) -> Tuple[float, float, float, Optional[Tuple[int, ...]]]:
|
| 851 |
+
"""One event under the hard deploy law -> (byte acc, record exact,
|
| 852 |
+
answer bits/byte, the compiler's hard word)."""
|
| 853 |
+
xpos, ypos = target_positions()
|
| 854 |
+
rec = torch.from_numpy(
|
| 855 |
+
make_event(w, perm, rng).astype(np.int64)).to(DEVICE)
|
| 856 |
+
logits, states = model.spine_pass(rec)
|
| 857 |
+
x = rec[:, xpos].reshape(-1)
|
| 858 |
+
y = rec[:, ypos].reshape(-1)
|
| 859 |
+
ans = logits[:, ypos].reshape(-1, 256)
|
| 860 |
+
hard_w: Optional[Tuple[int, ...]] = None
|
| 861 |
+
if model.field is not None:
|
| 862 |
+
hard_w = model.field.argmax_word(
|
| 863 |
+
_slot_logits(model.field, rec, states))[0]
|
| 864 |
+
wl, _ = model.field.tree_execute(
|
| 865 |
+
x, sorted({hard_w[:i] for i in range(len(hard_w) + 1)},
|
| 866 |
+
key=len), model.base_decode, hard=True)
|
| 867 |
+
# the certified law's own logits REPLACE the spine readout; the
|
| 868 |
+
# no-field control keeps its contextual spine logits, so the control
|
| 869 |
+
# is scored on the strictly easier readout of the two
|
| 870 |
+
ans = wl[-1]
|
| 871 |
+
lp = torch.log_softmax(ans.float(), -1)
|
| 872 |
+
bits = float(-lp.gather(1, y.view(-1, 1)).mean() / math.log(2.0))
|
| 873 |
+
pred = ans.argmax(-1)
|
| 874 |
+
return (float(pred.eq(y).float().mean()),
|
| 875 |
+
float(pred.view(M_REC, N_PAIRS).eq(
|
| 876 |
+
y.view(M_REC, N_PAIRS)).all(1).float().mean()),
|
| 877 |
+
bits, hard_w)
|
| 878 |
+
|
| 879 |
+
|
| 880 |
+
@torch.no_grad()
|
| 881 |
+
def evaluate(model: FS16Probe, perms: List[np.ndarray],
|
| 882 |
+
rng: np.random.Generator) -> Dict[str, float]:
|
| 883 |
+
"""The preregistered gate quantities, under the hard deploy law.
|
| 884 |
+
|
| 885 |
+
Held-out closure depths 11..16 are never trained. Each reading scores
|
| 886 |
+
EVAL_WORDS fresh words x EVAL_EVENTS events per depth, so it rests on
|
| 887 |
+
EVAL_WORDS*EVAL_EVENTS*M_REC*N_PAIRS answer bytes. The first cut used
|
| 888 |
+
ONE word and ONE event per depth — 384 bytes total — whose sampling
|
| 889 |
+
noise was large enough to swing the pilot's held-out accuracy between
|
| 890 |
+
0.35 and 0.10 on consecutive readings. No gate can be scored off that.
|
| 891 |
+
"""
|
| 892 |
+
row: Dict[str, float] = {}
|
| 893 |
+
accs, exact, bits = [], [], []
|
| 894 |
+
for d in range(TRAIN_DEPTH + 1, CLOSURE + 1):
|
| 895 |
+
da, de, db = [], [], []
|
| 896 |
+
for _ in range(EVAL_WORDS):
|
| 897 |
+
w = tuple(rng.integers(0, K_CODES, size=d).tolist())
|
| 898 |
+
perm = word_perm(perms, w)
|
| 899 |
+
for _ in range(EVAL_EVENTS_PER_WORD):
|
| 900 |
+
a, e, b, _ = _run_event(model, w, perm, rng)
|
| 901 |
+
da.append(a); de.append(e); db.append(b)
|
| 902 |
+
row[f"acc_d{d}"] = round(float(np.mean(da)), 4)
|
| 903 |
+
row[f"exact_d{d}"] = round(float(np.mean(de)), 4)
|
| 904 |
+
accs += da; exact += de; bits += db
|
| 905 |
+
row["heldout_byte_acc"] = float(np.mean(accs))
|
| 906 |
+
row["heldout_record_exact"] = float(np.mean(exact))
|
| 907 |
+
row["heldout_answer_bpb"] = float(np.mean(bits))
|
| 908 |
+
row["heldout_min_exact"] = min(row[f"exact_d{d}"] for d in
|
| 909 |
+
range(TRAIN_DEPTH + 1, CLOSURE + 1))
|
| 910 |
+
if model.field is None:
|
| 911 |
+
return row
|
| 912 |
+
|
| 913 |
+
# ---- binding gates: does the compiler read programs to codes? ----
|
| 914 |
+
votes: List[Dict[int, int]] = [{} for _ in range(K_CODES)]
|
| 915 |
+
len1: List[bool] = []
|
| 916 |
+
for g in range(K_CODES):
|
| 917 |
+
for _ in range(EVAL_BIND):
|
| 918 |
+
_, _, _, hw = _run_event(model, (g,), perms[g], rng)
|
| 919 |
+
len1.append(len(hw) == 1)
|
| 920 |
+
if len(hw) == 1:
|
| 921 |
+
votes[g][hw[0]] = votes[g].get(hw[0], 0) + 1
|
| 922 |
+
code_map = [max(v, key=v.get) if v else None for v in votes]
|
| 923 |
+
row["singleton_len1"] = float(np.mean(len1))
|
| 924 |
+
row["distinct_codes"] = float(
|
| 925 |
+
len({c for c in code_map if c is not None}) == K_CODES)
|
| 926 |
+
row["code_map"] = str(code_map)
|
| 927 |
+
|
| 928 |
+
ident = np.arange(256, dtype=np.uint8)
|
| 929 |
+
row["empty_word_rate"] = float(np.mean(
|
| 930 |
+
[len(_run_event(model, (), ident, rng)[3]) == 0
|
| 931 |
+
for _ in range(EVAL_BIND)]))
|
| 932 |
+
|
| 933 |
+
# word purity: the hard word must be the singleton mapping applied to
|
| 934 |
+
# the true program, at EVERY depth including the untrained closure
|
| 935 |
+
if all(c is not None for c in code_map):
|
| 936 |
+
pure, plen, per_depth = [], [], []
|
| 937 |
+
for d in range(0, CLOSURE + 1):
|
| 938 |
+
dp = []
|
| 939 |
+
for _ in range(EVAL_PURITY):
|
| 940 |
+
w = tuple(rng.integers(0, K_CODES, size=d).tolist())
|
| 941 |
+
_, _, _, hw = _run_event(model, w, word_perm(perms, w), rng)
|
| 942 |
+
dp.append(hw == tuple(code_map[g] for g in w))
|
| 943 |
+
plen.append(len(hw) == d)
|
| 944 |
+
pure += dp
|
| 945 |
+
per_depth.append(round(float(np.mean(dp)), 2))
|
| 946 |
+
row["word_purity"] = float(np.mean(pure))
|
| 947 |
+
row["word_len_match"] = float(np.mean(plen))
|
| 948 |
+
# aggregate purity cannot tell "perfect on the trained depths and
|
| 949 |
+
# failing on the untrained closure" apart from "uniformly mediocre",
|
| 950 |
+
# and those two call for different interventions
|
| 951 |
+
row["purity_by_depth"] = str(per_depth)
|
| 952 |
+
row["purity_trained"] = round(float(np.mean(
|
| 953 |
+
per_depth[:TRAIN_DEPTH + 1])), 3)
|
| 954 |
+
row["purity_closure"] = round(float(np.mean(
|
| 955 |
+
per_depth[TRAIN_DEPTH + 1:])), 3)
|
| 956 |
+
else:
|
| 957 |
+
row["word_purity"] = 0.0
|
| 958 |
+
row["word_len_match"] = 0.0
|
| 959 |
+
return row
|
| 960 |
+
|
| 961 |
+
|
| 962 |
+
def main() -> None:
|
| 963 |
+
nonce, perms = find_nonce(CLOSURE)
|
| 964 |
+
print(f"nonce={nonce} collision-free to depth {CLOSURE}", flush=True)
|
| 965 |
+
payload: Dict[str, object] = {
|
| 966 |
+
"screen": "G1-FS16", "arm": ARM, "seeds": SEEDS, "nonce": nonce,
|
| 967 |
+
"steps": STEPS, "events": EVENTS, "m_records": M_REC,
|
| 968 |
+
"d": D_MODEL, "layers": N_LAYERS, "carrier": CARRIER,
|
| 969 |
+
"train_depth": TRAIN_DEPTH, "closure": CLOSURE,
|
| 970 |
+
"lam_mid": LAM_MID, "lam_cpu": LAM_CPU, "lam_a": LAM_A,
|
| 971 |
+
"mid_warmup": MID_WARMUP, "curriculum": CURRIC, "straight_through": ST,
|
| 972 |
+
"st_after": ST_AFTER, "act_init": ACT_INIT, "sampled": SAMPLED,
|
| 973 |
+
"eps": EPS, "device": str(DEVICE), "runs": [], "partial": True,
|
| 974 |
+
"result_file": RESULT_FILE, "off_law": OFF_LAW,
|
| 975 |
+
"certification_geometry": not OFF_LAW,
|
| 976 |
+
}
|
| 977 |
+
|
| 978 |
+
def push() -> None:
|
| 979 |
+
# A local smoke run inherits HF_TOKEN from the shell, so without an
|
| 980 |
+
# explicit opt-out it publishes toy-width numbers over a registered
|
| 981 |
+
# result file under the DEFAULT name. That already happened once.
|
| 982 |
+
if not os.environ.get("HF_TOKEN") or NO_PUSH:
|
| 983 |
+
return
|
| 984 |
+
api = HfApi()
|
| 985 |
+
api.create_repo(RESULTS_REPO, repo_type="model", exist_ok=True)
|
| 986 |
+
api.upload_file(
|
| 987 |
+
path_or_fileobj=json.dumps(payload, indent=1).encode(),
|
| 988 |
+
path_in_repo=RESULT_FILE, repo_id=RESULTS_REPO,
|
| 989 |
+
repo_type="model")
|
| 990 |
+
print(f"pushed {RESULTS_REPO}/{RESULT_FILE}", flush=True)
|
| 991 |
+
|
| 992 |
+
for seed in SEEDS:
|
| 993 |
+
run: Dict[str, object] = {}
|
| 994 |
+
payload["runs"].append(run)
|
| 995 |
+
train_one(seed, perms, run, on_progress=push)
|
| 996 |
+
push()
|
| 997 |
+
payload["partial"] = False
|
| 998 |
+
push()
|
| 999 |
+
print(json.dumps({"arm": ARM,
|
| 1000 |
+
"runs": [r.get("final", r) for r in payload["runs"]]},
|
| 1001 |
+
indent=1), flush=True)
|
| 1002 |
+
|
| 1003 |
+
|
| 1004 |
+
if __name__ == "__main__":
|
| 1005 |
+
main()
|