File size: 35,886 Bytes
6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 1b501a2 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b 8e80028 6a1771b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 | # coding=utf-8
# Copyright 2024 The Google Research Authors.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
"""Data loading procedure for Othello and Sudoku game.
"""
import itertools
import os
import pickle
import jax
import numpy as np
import tensorflow as tf
from tensorflow.compat.v1 import gfile
import pdb
class CurriculumState:
"""Mutable curriculum stage shared between the train loop and the sampler.
stage t (1..max_stage) is a REASONING-DEPTH stage: t latent slots are
active and the first t wave snapshots are supervised. Every puzzle is
available from step 0 -- difficulty is not gated.
The difficulty tag is deliberately unused as a curriculum axis. It takes
only 6 values (3..8 = hardest solver-strategy digit needed by any cell), so
it cannot express a 12-step ladder, it is uncorrelated with puzzle size
(r=-0.003 vs empty-cell count), and it explains only ~19% of the variance
in solver round count. The ladder is over propagation depth instead.
"""
def __init__(self, stage=1, max_stage=12):
self.stage = stage
self.max_stage = max_stage
def unlocked_levels(self):
"""All levels, always. Kept for logging/compat with per-level reports."""
return list(range(3, 9))
def compute_puzzle_levels(strategy_codes, start_index):
"""Per-puzzle difficulty level = max strategy digit over solution cells.
strategy_codes: (N, 81) int64 chain codes (digits = strategy applications).
Clue cells have code 0. Level clipped to [3, 8] (rare all-lone-single
puzzles fold into level 3).
"""
n = len(strategy_codes)
levels = np.zeros(n, dtype=np.int32)
chunk = 200000
for lo in range(0, n, chunk):
x = strategy_codes[lo:lo + chunk].astype(np.int64).copy()
m = np.zeros_like(x)
while x.any():
np.maximum(m, x % 10, out=m)
x //= 10
levels[lo:lo + chunk] = m.max(axis=1).astype(np.int32)
return np.clip(levels, 3, 8)
def create_dataset(config, bs, train, curriculum=None):
"""Create Sudoku dataset according to the config.
Args:
config: a config object containing the hyparameters for the dataset
creation.
bs: batch size
train: whether the dataset is for train or eval
Returns:
a tf.data.Dataset object
"""
ds, output_types, output_shapes = None, None, None
ds = SudokuDataset(config, train=train, curriculum=curriculum)
# Each example is (sequence with latent slots, solution, start_index,
# difficulty level, per-slot candidate-set targets, round-bin, per-slot
# instance-digit counts). The round-bin is 0 unless the round-count data
# curriculum is enabled; the counts are zero on the train split, which
# never reads them.
K = int(getattr(config, "num_latent_slots", 0))
output_types = (tf.int32, tf.int32, tf.int32, tf.int32, tf.int32, tf.int32,
tf.int32)
output_shapes = (
tf.TensorShape([config.seq_len]),
tf.TensorShape([config.block_size]),
tf.TensorShape([1]),
tf.TensorShape([1]),
tf.TensorShape([K, config.block_size]),
tf.TensorShape([1]),
tf.TensorShape([K, config.block_size, 9]),
)
# Create a tf.data.Dataset object from the generator.
tf_ds = tf.data.Dataset.from_generator(
generator=ds, output_types=output_types, output_shapes=output_shapes)
# Repeat the dataset indefinitely.
tf_ds = tf_ds.repeat()
# Shuffle the dataset with a buffer size of 8 * bs and a seed of 0.
tf_ds = tf_ds.shuffle(8 * config.minibatch_size, seed=0)
# Batch the dataset with a batch size of bs.
tf_ds = tf_ds.batch(bs)
return tf_ds
def prepare_tf_data(xs):
"""Convert a input batch from tf Tensors to numpy arrays."""
def _prepare(x):
return x._numpy() # pylint: disable=protected-access
return jax.tree_map(_prepare, xs)
def create_iter(config, bs, train, curriculum=None):
tf_ds = create_dataset(config, bs, train=train, curriculum=curriculum)
it = map(prepare_tf_data, tf_ds)
return it
class SudokuDataset:
"""Sudoku dataset."""
def __init__(self, config, train=True, curriculum=None):
self.config = config
self.train = train
self.curriculum = curriculum
self.num_latent_slots = int(getattr(config, "num_latent_slots", 0))
self.latent_token_id = int(getattr(config, "latent_token_id", 10))
self.rng = np.random.RandomState(config.seed if hasattr(config, "seed") else 0)
self.preprocess_sudoku()
self._load_candidate_masks()
self._load_round_bins()
self._load_instances()
self._build_instance_epoch_list()
def _load_instances(self):
"""Load superposition instances: one concrete assignment per row.
Replaces the multi-hot candidate target with ordinary value tokens. For
a puzzle at stage s there are several assignments, each picking one digit
per cell from that cell's stage-s candidate set, so the candidate set is
recoverable across instances instead of being supervised as a set.
assignments: (M, 81) uint8, cell = r*9+c
starts/counts: (N, S) row range for each (puzzle, stage)
"""
self.instances = None
d = getattr(self.config, "instance_dir", None)
if not d:
return
split = "train" if self.train else "test"
self.instances = np.load(
os.path.join(d, f"{split}_assignments.npy"), mmap_mode="r")
self.inst_starts = np.load(os.path.join(d, f"{split}_starts.npy"))
self.inst_counts = np.load(os.path.join(d, f"{split}_counts.npy"))
self.inst_stages = int(self.inst_starts.shape[1])
print(f"[inst] loaded {split} instances {self.instances.shape} "
f"over {self.inst_starts.shape[0]} puzzles, "
f"{self.inst_stages} stages", flush=True)
def _build_instance_epoch_list(self):
"""Schedule for the pinned stage, so each puzzle is shown many times.
Default sampling draws a puzzle uniformly and then one of its
assignments at random, so over 8k steps at batch 64 a given puzzle is
seen at most once and most of its instances are never seen at all. The
superposition at a cell is only visible to the model as the spread of
digits it sees at that cell across repeated showings of the SAME puzzle,
so the schedule is built explicitly and walked in shuffled epochs.
Two sources of instances:
uniform (instance_uniform_draws=N)
Synthesize N instances per puzzle on the fly, each empty cell drawn
uniformly and independently from its candidate set. The per-cell
digit frequencies are then equal by construction, so the
cross-entropy optimum at that cell IS the uniform superposition.
pool (instance_epochs=E)
Walk the stored assignments E times each. Their per-cell frequencies
are whatever the coverage-driven generator produced (a |S|=2 cell is
typically 4:1), so CE converges to that skew, not to uniform.
"""
self.inst_pairs = None
self.inst_uniform = 0
self.inst_pairs_stage = None
draws = int(getattr(self.config, "instance_uniform_draws", 0))
epochs = int(getattr(self.config, "instance_epochs", 0))
if not self.train or (draws <= 0 and epochs <= 0):
return
self._build_pairs_for_stage(self.instance_stage())
def _build_pairs_for_stage(self, stage):
"""(Re)build the schedule for one stage.
Called again on promotion: each stage has its own instance pool, so the
pair list and the pass counter both restart when the stage advances.
"""
draws = int(getattr(self.config, "instance_uniform_draws", 0))
epochs = int(getattr(self.config, "instance_epochs", 0))
n_puz = int(getattr(self.config, "instance_puzzles", 0))
n_all = len(self.train_puzzles)
n_puz = n_all if n_puz <= 0 else min(n_puz, n_all)
if draws > 0:
if self.cand_masks is None:
raise ValueError("instance_uniform_draws needs the candidate "
"masks (SUDOKU_TRAIN_CAND)")
self.inst_uniform = draws
widths = self._stage_widths(stage, min(n_puz, 2000))
pids = np.repeat(np.arange(n_puz, dtype=np.int32), draws)
# -1 = synthesize this instance instead of reading a stored row.
self.inst_pairs = (pids, np.full(len(pids), -1, dtype=np.int64))
print(f"[inst-uniform] stage {stage + 1}: {n_puz} puzzles x "
f"{draws} uniform draws = {len(pids)} examples; mean |S| "
f"{widths.mean():.2f}, max {widths.max()}; each candidate of "
f"a cell is drawn ~{draws / widths.mean():.1f} times "
f"(>=5 needs {int(5 * widths.max())} draws for the widest "
f"cell)", flush=True)
self.inst_pairs_stage = stage
return
if self.instances is None:
raise ValueError("instance_epochs needs SUDOKU_INSTANCE_DIR")
counts = np.asarray(self.inst_counts[:n_puz, stage]).astype(np.int64)
starts = np.asarray(self.inst_starts[:n_puz, stage]).astype(np.int64)
total = int(counts.sum())
# Expand (puzzle -> its `count` consecutive assignment rows) without a
# Python loop: repeat the puzzle id, then add the within-puzzle offset.
puzzle_ids = np.repeat(np.arange(n_puz, dtype=np.int64), counts)
offsets = (np.arange(total, dtype=np.int64)
- np.repeat(np.cumsum(counts) - counts, counts))
rows = np.repeat(starts, counts) + offsets
self.inst_pairs = (puzzle_ids.astype(np.int32), rows.astype(np.int64))
self.inst_epochs = epochs
self.inst_pairs_stage = stage
print(f"[inst] stage {stage + 1}: {n_puz} puzzles, {total} "
f"(puzzle, instance) pairs, {counts.min()}-{counts.max()} "
f"instances per puzzle (mean {counts.mean():.2f}); one epoch = "
f"every pair seen {epochs}x = {epochs * total} examples",
flush=True)
def instance_stage(self):
"""Stage whose instances this example should target.
Bound to the curriculum stage so the target's ambiguity matches the
latent depth: stage t runs t latent slots and supervises the stage-(t-1)
assignments, ending at the unique solution when t == S.
"""
ov = getattr(self, "instance_stage_override", None)
if ov is not None:
S = int(getattr(self, "inst_stages", 0)) or int(self.num_stages)
return int(np.clip(int(ov), 0, max(S - 1, 0)))
S = int(getattr(self, "inst_stages", 0)) or int(self.num_stages)
if self.curriculum is None:
return S - 1
t = int(np.clip(self.curriculum.stage, 1, S))
return t - 1
def _stage_widths(self, stage, n_sample):
"""|S| for every multi-candidate cell over the first n_sample puzzles."""
m = np.asarray(self.cand_masks[:n_sample, stage]).astype(np.int64)
bits = ((m[..., None] >> np.arange(9)) & 1).sum(-1)
return bits[bits >= 2]
def uniform_instance_values(self, idx, stage):
"""Synthesize one assignment: each cell drawn uniformly from its set.
Returns (81,) digits indexed by cell = r*9+c. Cells the mask leaves
empty (mask 0) return 0, and the caller keeps the base sequence's digit
there, so the clue block is untouched.
The uniform draw over set bits is done by giving every set bit an iid
random key and taking the argmax: the max is equally likely to land on
any set bit, which is exactly a uniform choice, and it vectorizes over
all 81 cells at once.
"""
m = np.asarray(self.cand_masks[idx, stage]).astype(np.int64) # (81,)
bits = ((m[:, None] >> np.arange(9)) & 1).astype(np.float64) # (81, 9)
keys = self.rng.random_sample((81, 9)) * bits
vals = (keys.argmax(1) + 1).astype(np.int8)
return np.where(m > 0, vals, 0)
def instance_values(self, idx, stage, inst_row=None):
"""One assignment for (puzzle idx, stage).
inst_row pins an exact assignment row (epoch mode, so every instance is
visited a fixed number of times), -1 synthesizes a fresh uniform draw,
and None samples one of the stored rows at random.
"""
if inst_row is not None and int(inst_row) < 0:
return self.uniform_instance_values(idx, stage)
if inst_row is not None:
return np.asarray(self.instances[int(inst_row)])
n = int(self.inst_counts[idx, stage])
if n <= 0:
return None
row = int(self.inst_starts[idx, stage]) + self.rng.randint(n)
return np.asarray(self.instances[row])
def apply_instance(self, seq, idx, stage, inst_row=None):
"""Rewrite the value token of every triple to this instance's digit.
The (row, col) order is untouched, so the clue block and the solver-order
output sequence are exactly as before; only the values change.
"""
vals = self.instance_values(idx, stage, inst_row=inst_row)
if vals is None:
return seq
seq = seq.copy()
cells = seq[0::3].astype(np.int64) * 9 + seq[1::3].astype(np.int64)
new = vals[cells].astype(seq.dtype)
# 0 means "this cell has no candidate mask"; keep the base digit there
# so the clue block survives untouched. Stored assignments carry the
# clue digit itself, so they overwrite with the same value either way.
seq[2::3] = np.where(new > 0, new, seq[2::3])
return seq
def _load_round_bins(self):
"""Load per-puzzle solver round counts and bin them into max_stage
equal-count bins, for the round-count DATA curriculum.
The round count (waves needed to reach the unique solution, 5..38) is
the same propagation-depth axis the latent curriculum supervises, but
used to order the *puzzles* instead of the supervision. Bin edges are
always computed on the train split and reused for eval so a bin index
means the same thing in both.
"""
self.round_bins = None
self.num_bins = int(getattr(self.config, "curriculum_max_stage", 12))
if str(getattr(self.config, "data_curriculum", "none")) != "rounds":
return
tr_path = getattr(self.config, "train_meta_path", None)
path = tr_path if self.train else getattr(
self.config, "test_meta_path", None)
if not (path and tr_path):
raise ValueError(
"data_curriculum='rounds' needs SUDOKU_TRAIN_META and "
"SUDOKU_TEST_META (the *_meta.npy written by "
"staged_candidate_gen.py; column 2 is num_rounds)")
rounds = np.load(path, mmap_mode="r")[:, 2].astype(np.int32)
# Cut points from the TRAIN split, so a bin index means the same thing
# in eval. Round counts are integers with a peaked distribution (mean
# 22, sd 4), so raw quantiles collide -- the 12-bin quantiles repeat 20
# twice on the full corpus, which would leave a bin permanently empty
# and strand its stage with no frontier to measure. Force the cuts
# strictly increasing so every bin is reachable.
train_rounds = np.load(tr_path, mmap_mode="r")[:, 2].astype(np.int32)
edges = np.quantile(train_rounds, np.linspace(0, 1, self.num_bins + 1))
cuts = np.round(edges[1:-1]).astype(np.int64)
for i in range(1, len(cuts)):
if cuts[i] <= cuts[i - 1]:
cuts[i] = cuts[i - 1] + 1
# bin j (1-based) = stage that first unlocks the puzzle.
self.round_bins = np.clip(
np.searchsorted(cuts, rounds, side="right") + 1,
1, self.num_bins).astype(np.int32)
self.bin_index = {b: np.where(self.round_bins == b)[0]
for b in range(1, self.num_bins + 1)}
counts = {b: int(len(v)) for b, v in self.bin_index.items()}
print(f"[rounds] {'train' if self.train else 'eval'} bin counts:",
counts, flush=True)
print(f"[rounds] cuts: {cuts.tolist()} (rounds "
f"{int(rounds.min())}..{int(rounds.max())})", flush=True)
empty = [b for b, c in counts.items() if c == 0]
if empty and self.train:
raise ValueError(
f"round-bin curriculum has empty train bins {empty}; those "
f"stages would have no puzzles and no frontier signal")
def _load_candidate_masks(self):
"""Load staged candidate-set masks (N, S, 81) uint16, aligned by puzzle
index with the loaded .npy. Row i here == puzzle i in the base file."""
if self.train:
path = getattr(self.config, "train_cand_masks_path", None)
else:
path = getattr(self.config, "test_cand_masks_path", None)
self.cand_masks = None
self.num_stages = 0
if path:
self.cand_masks = np.load(path, mmap_mode="r")
self.num_stages = int(self.cand_masks.shape[1])
print(f"[cand] loaded {path} shape {self.cand_masks.shape}", flush=True)
def slot_budget(self, level):
"""Number of latent slots this example activates (see cand_slot_mode).
"depth" mode must agree with the recurrence depth used by the train
step, since build_latent_state only ever writes slots [0, num_passes):
supervising a slot the recurrence never filled would train the head off
an all-zero latent.
"""
K = self.num_latent_slots
if getattr(self.config, "cand_slot_mode", "level") == "depth":
stage = self.curriculum.stage if self.curriculum is not None \
else getattr(self.config, "curriculum_max_stage", 6)
pps = int(getattr(self.config, "passes_per_stage", 1))
return int(np.clip(pps * stage, 1, K))
return int(np.clip(level - 2, 1, K))
def _slot_stages(self, level):
"""Stage index backing each of the K latent slots, for one example.
Factored out of _slot_stage_targets so the candidate bitmasks and the
instance-frequency counts below are guaranteed to describe the same
stage at the same slot.
"""
K = self.num_latent_slots
S = self.num_stages
k = self.slot_budget(level)
depth_mode = getattr(self.config, "cand_slot_mode", "level") == "depth"
out = []
for j in range(K):
if j >= k:
# Inactive slot: masked out of the loss, value is irrelevant.
out.append(S - 1)
elif depth_mode:
# Identity: slot j holds propagation block j, so growing the
# recurrence depth extends the chain instead of re-pacing it.
# The solution is only reached at full depth, which is what
# makes this a curriculum over reasoning depth.
out.append(min(j, S - 1))
else:
# Active slots span the full shrink sequence: slot 0 -> stage 0
# (widest candidate set, genuinely multi-valued), last active
# slot -> final stage (solution). For k==1 the single slot maps
# to the WIDEST set (stage 0), not the solution, so even level-3
# puzzles give the candidate head a real multi-candidate target
# (the LM head still produces the unique answer).
out.append(int(round(j * (S - 1) / max(k - 1, 1))))
return out
def _slot_stage_qcounts(self, idx, level, clue_cells=None):
"""Return (K, 81, 9) int32 instance-digit counts, one plane per slot.
Entry [j, c, d-1] is how many of this puzzle's stored stage-s instances
put digit d in cell c, where s is the stage behind slot j. Normalizing
over d gives q, the post-constraint distribution the training data
actually teaches at that cell -- as opposed to Uniform(S) over the raw
pre-constraint candidate set, which the constraints have already pruned.
Eval needs this because CE(q || p) is the only value statistic whose
floor, H(q), is strictly below log|S| when the constraints bite. CE
against Uniform(S) is >= log|S| for every p by Gibbs, so comparing that
to log|S| tests nothing. Built for eval only; train never reads it.
"""
K = self.num_latent_slots
out = np.zeros((K, 81, 9), dtype=np.int32)
if self.instances is None or K == 0 or self.train:
return out
for j, s in enumerate(self._slot_stages(level)):
s = min(s, self.inst_stages - 1)
n = int(self.inst_counts[idx, s])
if n <= 0:
continue
lo = int(self.inst_starts[idx, s])
rows = np.asarray(self.instances[lo:lo + n], dtype=np.int64) # (n,81)
# Digits are 1..9; 0 marks "not assigned by this instance".
valid = (rows >= 1) & (rows <= 9)
cells = np.broadcast_to(np.arange(81)[None, :], rows.shape)
np.add.at(out[j], (cells[valid], rows[valid] - 1), 1)
if clue_cells is not None and len(clue_cells) > 0:
out[:, clue_cells, :] = 0
return out
def _slot_stage_targets(self, idx, level, clue_cells=None):
"""Return (K, 81) int32 candidate bitmasks, one per latent slot.
The S stored stages are mapped onto the example's k active slots; see
cand_slot_mode for the two mappings ("level" re-paces the whole shrink
sequence into k slots, "depth" assigns slot j to stage j). Inactive slots
(j>=k) default to the final stage; they are masked out of the loss.
Although the array is laid out over all 81 cell positions (for a fixed
batch shape), the supervised targets are only the *empty* cells: clue
cells are zeroed out here as a sentinel (a genuine empty cell always has
>=1 candidate at every stage), and the loss ignores zero rows. So the
effective target per puzzle is (#empty cells) x 9, in solver order."""
K = self.num_latent_slots
if self.cand_masks is None or K == 0:
return np.zeros((K, 81), dtype=np.int32)
stages = self.cand_masks[idx].astype(np.int32) # (S, 81)
out = np.zeros((K, 81), dtype=np.int32)
for j, s in enumerate(self._slot_stages(level)):
out[j] = stages[s]
# Sentinel-zero the clue cells so only the empty cells are supervised.
if clue_cells is not None and len(clue_cells) > 0:
out[:, clue_cells] = 0
return out
def _build_level_index(self, levels):
"""Map difficulty level -> array of puzzle indices."""
return {lvl: np.where(levels == lvl)[0] for lvl in range(3, 9)}
def insert_latent_slots(self, seq, start_index):
"""Insert K latent placeholder tokens between clues and solution.
seq: (243,) triple sequence. Returns (243 + K,) sequence:
[clues (3*si)] [K placeholders] [solution triples].
"""
k = self.num_latent_slots
if k == 0:
return seq
si3 = 3 * int(start_index)
return np.concatenate([
seq[:si3],
np.full(k, self.latent_token_id, dtype=seq.dtype),
seq[si3:],
])
def convert_to_fixed_or_random_order(self, inputs, start_index):
"""Convert the sequence of moves to either a fixed or random order.
Args:
inputs: a numpy array of shape (num_puzzles, seq_len) containing the
sequence of moves for each puzzle
start_index: a numpy array of shape (num_puzzles, 1) containing the starting
index for each puzzle
Returns:
transformed_input: a numpy array of shape (num_puzzles, seq_len) containing the
sequence of moves for each puzzle in either a fixed or random order
"""
transformed_input = np.zeros_like(inputs)
for i in range(len(inputs)):
cur_seq = inputs[i]
cur_start_index = start_index[i, 0]
# Split the sequence into input and output prompts
inp_prompt = cur_seq[ :(3 * cur_start_index) ].reshape(-1, 3)
out_prompt = cur_seq[ (3 * cur_start_index): ].reshape(-1, 3)
# Sort the input prompts in a fixed order
if self.config.seq_order == "fixed":
transformed_input[i, :(3 * cur_start_index) ] = inp_prompt[ np.lexsort( inp_prompt[:, ::-1].T ) ].flatten()
# Randomly shuffle the input prompts
elif self.config.seq_order == "random":
transformed_input[i, :(3 * cur_start_index) ] = np.random.permutation(inp_prompt).flatten()
# Sort the output prompts in a fixed order
if self.config.seq_order == "fixed":
transformed_input[i, (3 * cur_start_index): ] = out_prompt[ np.lexsort( out_prompt[:, ::-1].T ) ].flatten()
# Randomly shuffle the output prompts
elif self.config.seq_order == "random":
transformed_input[i, (3 * cur_start_index): ] = np.random.permutation(out_prompt).flatten()
return transformed_input
def get_puzzles_start_index(self, path):
"""Get the puzzles, start index, inputs and difficulty levels.
Returns:
inputs: (num_puzzles, 243) move sequences (strategy column removed)
puzzles: (num_puzzles, 81) solutions
start_index: (num_puzzles, 1) number of clue cells
levels: (num_puzzles,) puzzle difficulty level in [3, 8]
(= hardest solver-strategy digit needed by any cell)
"""
with gfile.Open(path, "rb") as f:
inputs_with_start_index = np.load(f)
start_index = inputs_with_start_index[:, 0] # Get the start index
rest = inputs_with_start_index[:, 1:]
# Strategy chain codes (4th entry of each cell quadruple); keep them to
# derive the curriculum difficulty level, then remove from the inputs.
strategy_codes = rest.reshape(len(rest), 81, 4)[:, :, 3]
levels = compute_puzzle_levels(strategy_codes, start_index)
inputs = np.delete( rest, np.arange(81) * 4 + 3, axis=1)
puzzles = np.zeros((len(inputs), 81), dtype=np.int8) # Initialize puzzles
for j in range(81):
cell_id = inputs[:, 3 * j] * 9 + inputs[:, 3 * j + 1] # Get the cell id
puzzles[np.arange(len(inputs)), cell_id] = inputs[:, 3 * j + 2] # Set the puzzle
return inputs, puzzles, start_index.reshape(-1, 1), levels
def preprocess_sudoku(self):
"""Preprocess the sudoku for train and test datasets.
Depending on the `train` flag, this method loads and processes the
sudoku puzzles and their start indices from the appropriate paths, and
optionally converts them to a fixed or random order based on the
configuration.
"""
if self.train is True:
# Load train puzzles, inputs, and start indices
(self.train_inputs, self.train_puzzles, self.train_start_index,
self.train_levels) = (
self.get_puzzles_start_index(self.config.train_puzzle_path)
)
# Convert train inputs to fixed or random order if specified
if self.config.seq_order in {"fixed", "random"}:
self.train_inputs = self.convert_to_fixed_or_random_order(self.train_inputs, self.train_start_index)
self.level_index = self._build_level_index(self.train_levels)
print("train level counts:",
{l: len(v) for l, v in self.level_index.items()}, flush=True)
elif self.train is False:
# Load evaluation puzzles, inputs, and start indices
(self.eval_inputs, self.eval_puzzles, self.eval_start_index,
self.eval_levels) = (
self.get_puzzles_start_index(self.config.test_puzzle_path)
)
# Convert evaluation inputs to fixed or random order if specified
if self.config.seq_order in {"fixed", "random"}:
self.eval_inputs = self.convert_to_fixed_or_random_order(self.eval_inputs, self.eval_start_index)
self.level_index = self._build_level_index(self.eval_levels)
def __len__(self):
if self.train is True:
return len(self.train_puzzles)
elif self.train is False:
return len(self.eval_puzzles)
def __getitem__(self, idx, inst_row=None):
"""Returns one example: (sequence with latent slots, solution,
start_index, difficulty level).
The base sequence is 243 tokens of (row, column, value) triples; K
latent placeholder tokens are inserted after the clue block, giving
243 + K tokens. start_index is the number of clue cells; level in
[3, 8] is the hardest solver strategy needed by any cell.
"""
if self.train is True:
inputs, puzzles = self.train_inputs, self.train_puzzles
start_index, levels = self.train_start_index, self.train_levels
else:
inputs, puzzles = self.eval_inputs, self.eval_puzzles
start_index, levels = self.eval_start_index, self.eval_levels
base = inputs[idx, :]
if (self.instances is not None or getattr(self, "inst_uniform", 0)) \
and self.train:
# Same input prompt, different output prompt: the clue triples are
# untouched (their instance digit is the clue) while the empty cells
# take one draw from the stage's candidate sets. Averaged over the
# instances the target IS the candidate set, so the superposition is
# learned from ordinary next-token CE instead of a set head. Eval
# keeps the unique solution: the sequence it scores is generated, and
# `puzzles` must stay the ground truth the accuracy is measured on.
base = self.apply_instance(base, idx, self.instance_stage(),
inst_row=inst_row)
seq = self.insert_latent_slots(base, start_index[idx, 0])
# Clue cells = the first `start_index` (r,c,v) triples; their cell ids
# are excluded from candidate supervision (only empty cells are scored).
si = int(start_index[idx, 0])
clue_triples = inputs[idx, :3 * si].reshape(-1, 3)
clue_cells = (clue_triples[:, 0] * 9 + clue_triples[:, 1]).astype(np.int64)
cand_targets = self._slot_stage_targets(idx, int(levels[idx]), clue_cells)
q_counts = self._slot_stage_qcounts(idx, int(levels[idx]), clue_cells)
rbin = (int(self.round_bins[idx]) if self.round_bins is not None else 0)
return (
seq,
puzzles[idx, :],
start_index[idx],
np.array([levels[idx]], dtype=np.int32),
cand_targets,
np.array([rbin], dtype=np.int32),
q_counts,
)
def _sample_level(self):
"""Uniform over levels that have puzzles. Used for level-balanced mode
and for eval, where per-level reporting needs every level represented."""
avail = [l for l in range(3, 9) if len(self.level_index[l]) > 0]
return avail[self.rng.randint(len(avail))]
def _sample_round_gated(self):
"""Uniform over puzzles whose round-bin is already unlocked (bin<=stage).
Reading the stage at yield time lets the pool grow on promotion."""
stage = self.curriculum.stage if self.curriculum is not None \
else self.num_bins
stage = int(np.clip(stage, 1, self.num_bins))
pool = np.concatenate([self.bin_index[b] for b in range(1, stage + 1)])
return int(pool[self.rng.randint(len(pool))])
def __call__(self):
# Infinite generator. Train draws puzzles uniformly from the whole
# corpus (natural difficulty mix, ~68% level 3): the difficulty tag
# selects nothing, since the curriculum axis is propagation depth.
# Eval stays level-balanced so per-level accuracy is measurable and
# comparable across runs.
#
# The exception is the round-count DATA curriculum, where the train pool
# is restricted to puzzles needing at most stage-many propagation waves.
# Eval is never gated: it must score the whole corpus at every stage.
round_gated = (self.train and self.round_bins is not None)
level_balanced = (not self.train) or bool(
int(getattr(self.config, "level_balanced_sampling", 0)))
n = len(self.train_puzzles) if self.train else len(self.eval_puzzles)
if getattr(self, "inst_pairs", None) is not None:
# Epoch mode: walk every (puzzle, instance) pair, reshuffled each
# epoch, so each instance of each puzzle is visited exactly once per
# epoch. Shuffling means a batch holds distinct puzzles, i.e. one
# instance of a given puzzle per batch rather than all of its
# instances side by side.
reps = max(int(getattr(self, "inst_epochs", 1)), 1)
npass = 0
while True:
stage = self.instance_stage()
if stage != self.inst_pairs_stage:
# Promotion: this stage has its own instance pool, so the
# pair list and the pass count both restart.
self._build_pairs_for_stage(stage)
npass = 0
puzzle_ids, rows = self.inst_pairs
total = len(rows)
order = np.arange(total)
self.rng.shuffle(order)
npass += 1
print(f"[inst] stage {stage + 1} pass {npass}: every "
f"(puzzle, instance) pair seen {npass}x of {reps} "
f"({total} pairs)", flush=True)
for i, t in enumerate(order):
# Promotion can land mid-pass; checking periodically keeps
# the targets on the current stage instead of finishing the
# old pool first. 256 examples is 4 batches.
if (i & 255) == 0 and self.instance_stage() != stage:
break
yield self.__getitem__(int(puzzle_ids[t]),
inst_row=int(rows[t]))
while True:
if round_gated:
idx = self._sample_round_gated()
elif level_balanced:
idx_arr = self.level_index[self._sample_level()]
idx = int(idx_arr[self.rng.randint(len(idx_arr))])
else:
idx = int(self.rng.randint(n))
yield self.__getitem__(idx)
|