"""Generate the recognition-memory benchmark. Each sample holds a primary sequence of uniformly random tokens and K corrupted copies of it. A corrupted copy always changes one uniformly chosen position and additionally changes every other position independently with probability 1/(N-1), so the expected number of changed tokens is exactly 2. A changed token is replaced by a uniformly chosen *different* token. Output layout (Hugging Face parquet, one config per subset): /N{N}_V{V}/{split}-{shard:05d}-of-{nshards:05d}.parquet """ import argparse import math from pathlib import Path import numpy as np import pyarrow as pa import pyarrow.parquet as pq VOCAB = 16 NUM_CORRUPTED = 8 LENGTHS = [4, 8, 16, 32, 64, 128, 256, 512, 1024] SPLITS = {"train": 900_000, "validation": 50_000, "test": 100_000} SPLIT_IDS = {"train": 0, "validation": 1, "test": 2} BASE_SEED = 20261030 CHUNK = 50_000 MAX_SHARD_BYTES = 256 * 2**20 def subset_name(length, vocab=VOCAB): return f"N{length}_V{vocab}" def generate_chunk(rng, n, length, vocab=VOCAB, k=NUM_CORRUPTED): """Return (sequence [n, L], corrupted [n, k, L], num_changed [n, k]).""" seq = rng.integers(0, vocab, size=(n, length), dtype=np.uint8) mask = rng.random((n, k, length), dtype=np.float32) < 1.0 / (length - 1) forced = rng.integers(0, length, size=(n, k)) np.put_along_axis(mask, forced[..., None], True, axis=-1) # Adding a non-zero shift mod V gives a uniform choice among the other V-1 tokens. shift = rng.integers(1, vocab, size=(n, k, length), dtype=np.uint8) corrupted = ((seq[:, None, :] + shift * mask) % vocab).astype(np.uint8) return seq, corrupted, mask.sum(-1).astype(np.uint16) def chunk_rng(length, split, i, vocab=VOCAB, seed=BASE_SEED): """RNG for chunk i of a split; chunks are independent and individually reproducible.""" return np.random.default_rng(np.random.SeedSequence([seed, length, vocab, SPLIT_IDS[split], i])) def generate_split(length, split, n=None, vocab=VOCAB, k=NUM_CORRUPTED, seed=BASE_SEED): """Generate a full split deterministically from (seed, length, split).""" n = SPLITS[split] if n is None else n parts = [] for i in range(math.ceil(n / CHUNK)): m = min(CHUNK, n - i * CHUNK) parts.append(generate_chunk(chunk_rng(length, split, i, vocab, seed), m, length, vocab, k)) return tuple(np.concatenate(p) for p in zip(*parts)) def to_table(seq, corrupted, num_changed): n, k, length = corrupted.shape seq_arr = pa.FixedSizeListArray.from_arrays(pa.array(seq.reshape(-1)), length) inner = pa.FixedSizeListArray.from_arrays(pa.array(corrupted.reshape(-1)), length) cor_arr = pa.FixedSizeListArray.from_arrays(inner, k) nc_arr = pa.FixedSizeListArray.from_arrays(pa.array(num_changed.reshape(-1)), k) return pa.table({"sequence": seq_arr, "corrupted": cor_arr, "num_changed": nc_arr}) def write_split(out_dir, length, split, **kwargs): seq, corrupted, num_changed = generate_split(length, split, **kwargs) d = Path(out_dir) / subset_name(length) d.mkdir(parents=True, exist_ok=True) for old in d.glob(f"{split}-*.parquet"): old.unlink() n = len(seq) bytes_per_row = corrupted[0].nbytes + seq[0].nbytes + num_changed[0].nbytes nshards = max(1, math.ceil(n * bytes_per_row / MAX_SHARD_BYTES)) bounds = np.linspace(0, n, nshards + 1).astype(int) for s in range(nshards): lo, hi = bounds[s], bounds[s + 1] table = to_table(seq[lo:hi], corrupted[lo:hi], num_changed[lo:hi]) pq.write_table(table, d / f"{split}-{s:05d}-of-{nshards:05d}.parquet", row_group_size=10_000, compression="zstd") return nshards def main(): p = argparse.ArgumentParser() p.add_argument("--out", default="data") p.add_argument("--lengths", type=int, nargs="+", default=LENGTHS) args = p.parse_args() for length in args.lengths: for split in SPLITS: nshards = write_split(args.out, length, split) print(f"{subset_name(length)} {split}: {SPLITS[split]} samples, {nshards} shard(s)", flush=True) if __name__ == "__main__": main()