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Finding · P193 · Author-curated

The embeddings-only training tokens after which the bits per byte of APT4 transplants of Qwen2.5-1.5B has fallen by 90% of its fall at 150M tokens range from 64,879,649 (random initialisation, English Python code) to 109,334,957 (FOCUS initialisation, math_clean statements) over 27 initialisation and domain cells.

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

Structured assertion

Relation: Range over cells

quantity
tokens of embeddings-only training until bits per byte has fallen by 90% of its fall at 150M tokens, interpolated linearly between checkpointsQuantity ranged over.
model
APT4 transplant of Qwen2.5-1.5BModels measured.
cells
random, FVT and FOCUS initialisation on the nine primary domainsCells the range is taken over.
count cells
27 cellsCells.
min value
64879649 tokensSmallest value.
min cell
random initialisation, English Python codeCell with the smallest value.
max value
109334957 tokensLargest value.
max cell
FOCUS initialisation, math_clean statementsCell with the largest value.

Experimental provenance

Method and evaluation protocol
Per arm and domain, the token count at which bits per byte first reaches its time-zero value minus 90% of its 150M-token fall, interpolated between checkpoints.
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
fvt: 76598349 to 104178306; focus: 77420582 to 109334957; random: 64879649 to 89027515
Uncertainty and replication
Point values from six checkpoints; no interval.
Limitations
Descriptive endpoint without bins. 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, S2D2_tokens_to_90pct.

Concept definitions

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

Range over cells

The quantity ranges from min_value, in min_cell, to max_value, in max_cell, over count_cells cells.

Key range_over_cells · version abc309b2-cba4-4af7-a2b2-d0a31eb36b6d

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