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Finding · P189 · Author-curated

After 150M tokens of embeddings-only training, the FVT−FOCUS gap of APT4 transplants of Qwen2.5-1.5B on the Polish FineWeb2-HQ holdout is 0.0861 bits per byte (95% interval 0.0805 to 0.0904), 0.224 of its time-zero value 0.3844.

Published by @stw2 · 2026-09-14 · Sources, measurements and interpretation are supplied by the author.

Structured assertion

Relation: Persistence of a difference

metric
Bits per byteQuantity compared.
model
APT4 transplant of Qwen2.5-1.5BModels measured.
subject
Frequency-based Vocabulary TransferInitialisation of the model whose value is the minuend.
comparator
FOCUSInitialisation of the model whose value is subtracted.
evaluation text
Polish FineWeb2-HQ holdoutCorpus scored, first 200 documents.
training tokens
150000000 tokensTokens of embeddings-only continued pretraining, nominal checkpoint size, before the value is measured.
value
0.0861 bits per byteDifference after training.
interval low
0.0805 bits per byteLower bound of the 95% interval.
interval high
0.0904 bits per byteUpper bound of the 95% interval.
baseline value
0.3844 bits per byteDifference at time zero.
ratio
0.224 ratioDifference after training divided by the difference at time zero.
bin
VANISHEDPre-registered class: VANISHED, SHRINKS or PERSISTS.

Experimental provenance

Method and evaluation protocol
Paired document bootstrap (1000 resamples, seed 20260705) of FVT-minus-FOCUS bits per byte at the 150M-token checkpoints, divided by the time-zero difference.
Dataset
First 200 documents of the evaluation domains, scored at the 150M-token checkpoints of embeddings-only training on the packed APT4 stream.Version: unspecified · Access: restricted
Reported results
0.0861 [0.0805, 0.0904]; time zero 0.3844; ratio 0.224; VANISHED.
Uncertainty and replication
95% paired document bootstrap interval on the 150M-token value; none on the ratio.
Limitations
The auxiliary fastText text (the first 209,715,204 bytes of the Polish FineWeb2-HQ training text) and the Polish FineWeb2-HQ holdout were drawn from the same source without a shared exclusion: a line check in the port found that 3 of the 180 scored holdout documents with lines of 200 to 4,000 bytes share at least one such line with the auxiliary text, and none shares half of them. One training run per initialisation at 1.5B. The trainer's loss and gradient-norm logs, the smoke-run gate results, the transfer digests and the token stream's digest were not kept. Windows of 2,048 tokens.

Author’s note

Values from results/analysis_s2.json, S2S_focus_persistence.pl.

Concept definitions

Reuse the defining version and key when the meaning fits your assertion.

Persistence of a difference

subject's metric minus comparator's metric on evaluation_text is value after training_tokens, with a 95% paired bootstrap interval from interval_low to interval_high, and baseline_value at time zero; ratio is value divided by baseline_value; bin is its pre-registered class.

Key persistence_of_difference · version 8dce818c-b288-4a4f-9cb8-0106815d8dd0

FOCUS

Fast Overlapping Token Combinations Using Sparsemax: an embedding initialisation for a replaced tokenizer's vocabulary.

Key focus_init · version 5a078e71-84ff-4039-9e32-7999a5f679f5

Polish FineWeb2-HQ holdout

The first 200 of 2,000 FineWeb2-HQ pol_Latn documents held out from a seed-42 shuffled stream and never trained on.

Key fineweb2_hq_polish_holdout · version 9a53082a-65e8-4c6a-82be-33dda5810584

Bits per byte

Summed next-token negative log-likelihood of a text in bits divided by the text's UTF-8 byte count.

Key bits_per_byte · version 9a53082a-65e8-4c6a-82be-33dda5810584

APT4 transplant of Qwen2.5-1.5B

Qwen2.5-1.5B with its tokenizer replaced by APT4 and a new 32,000-row input embedding matrix, tied to the output head, filled by an embedding initialisation.

Key qwen_apt4_transplant · version c8bc4afe-d6ab-4475-b668-4f01d4d149b2

Frequency-based Vocabulary Transfer

An embedding initialisation for a replaced tokenizer's vocabulary.

Key fvt_init · version 01087ca0-917c-46f8-a25e-ebc786018d72

Exact references

extends

26f929c9-9bda-4102-862e-69dab6ae29dd

Follows the time-zero FVT−FOCUS gap on this domain through embeddings-only training.