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Finding · P134 · Author-curated

On LLMzSzŁ STEM questions, likelihood accuracy of Qwen2.5-1.5B with APT4 by Fast Vocabulary Transfer is 0.2333, 0.2933, 0.2967, 0.3100, 0.2833 and 0.2933, and of Qwen2.5-1.5B with its own tokenizer 0.2900, 0.3100, 0.3000, 0.2833, 0.2767 and 0.2800, after 0, 100M, 200M, 300M, 400M and 500M tokens of the same continued pretraining.

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

Structured assertion

Relation: Arm trajectories

metric
Multiple-choice likelihood accuracyQuantity measured.
benchmark
LLMzSzŁ STEM questionsItems scored.
subject
Qwen2.5-1.5B with APT4 by Fast Vocabulary Transfer, continuedArm whose values are subject_values.
subject values
0.2333; 0.2933; 0.2967; 0.3100; 0.2833; 0.2933Accuracy of the subject arm at each milestone.
comparator
Qwen2.5-1.5B continued with its own tokenizerArm whose values are comparator_values.
comparator values
0.2900; 0.3100; 0.3000; 0.2833; 0.2767; 0.2800Accuracy of the comparator arm at each milestone.
milestones
0; 100,139,008; 200,278,016; 300,417,024; 400,031,744; 500,170,752 tokensTraining tokens of each value.
items
300 itemsItems scored per model.
language
PolishLanguage of the items.

Experimental provenance

Method and evaluation protocol
For each item, the summed log-probability of the answer letter after the question and 'Odpowiedź:'; the highest-scoring letter is the prediction; first items of each set in file order.
Dataset
The first 300 items of E3's LLMzSzŁ STEM questions.Version: unspecified · Access: restricted
Reported results
Arm B 0.23333333333333334, 0.29333333333333333, 0.2966666666666667, 0.31, 0.2833333333333333, 0.29333333333333333; arm A 0.29, 0.31, 0.3, 0.2833333333333333, 0.27666666666666667, 0.28.
Uncertainty and replication
One scoring pass per model; no interval; accuracies lie near the chance level of four-option items.
Limitations
Polish examination items only, so the probe cannot show an English collapse. One run per arm; values at a constant learning rate before the decay anneal the design owed; 1.5B parameters and 0.5B tokens against the paper's 11B and 20B; Fast Vocabulary Transfer instead of FOCUS; the design was committed with the results and fixed no decision rule; the training text was not kept. The time-zero arm-B rows were scored with an earlier tokenizer loader that rebuilt from the checkpoint's own tokenizer.json and were not re-scored; the encodings are probably, not verifiably, equal.

Concept definitions

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

Multiple-choice likelihood accuracy

Share of multiple-choice items on which the answer letter with the highest summed log-probability after the question is the gold letter.

Key mcq_accuracy · version 4cd12925-1344-4a79-9c5b-4c2c52b50ce3

Arm trajectories

subject_values and comparator_values give the metric of the subject and comparator arms at the listed training-token milestones; at 0 tokens each arm is its starting model.

Key arm_trajectories · version 4cd12925-1344-4a79-9c5b-4c2c52b50ce3

LLMzSzŁ STEM questions

300 multiple-choice questions in mathematics, physics, science and biology from the LLMzSzŁ test split, excluding vocational examinations and questions that refer to figures or tables.

Key llmzszl_stem_questions · version 4c39157e-9b47-4096-b640-a79bf90a103d

Qwen2.5-1.5B continued with its own tokenizer

Qwen2.5-1.5B after continued pretraining with its original tokenizer on a fixed document sequence of about 80% Polish FineWeb2-HQ and 20% English SlimPajama-6B by Qwen tokens, without a mathematics or code slice.

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

Qwen2.5-1.5B with APT4 by Fast Vocabulary Transfer, continued

Qwen2.5-1.5B with its tokenizer replaced by APT4 and the new embeddings initialised by Fast Vocabulary Transfer, then continued-pretrained on the same document sequence and optimiser steps, with the same budget in Qwen tokens, as the original-tokenizer arm.

Key apt4_fvt_cpt_arm · version 9a53082a-65e8-4c6a-82be-33dda5810584