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cs.LG updates on arXiv.org

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Likelihood scoring for continuations of mathematical text...
Daniel Ranar · 2026-05-12 · via cs.LG updates on arXiv.org

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Abstract:We introduce an automatically generated benchmark for predicting hidden text in technical papers. A paper supplies visible context $X$ and a hidden continuation $Y$; the evaluated model writes an auxiliary forecast string $Z$, and a separate scorer assigns next-token probability to $Y$ both with and without conditioning on $Z$. This gives a label-free test of whether $Z$ transmits information about the continuation, compared against controls where $Z$ is recent context rather than a forecast. Our main testbed is equation-suffix prediction: the predictor sees context and the first part of a displayed equation, then forecasts the rest. The task mixes surface-level arXiv/TeX text modeling with reasoning-sensitive inference; the suffix is one of many roughly equivalent continuations, so the benchmark is read statistically rather than item-by-item. On 1363 equation continuations from 138 recent physics and mathematics papers, forecasts from GPT-5.5, Opus 4.7, and GPT-5.4 nano all improve clipped likelihood over the context control under both Qwen3-8B and Kimi K2.6 scorers, distinguishing model families and reasoning-effort settings without human labels. To emulate shortcuts where $Z$ further primes the scorer rather than making a useful forecast, we also fine-tune the scorer on context-only prompts and apply it to held-out papers as a stronger control. GPT-5.5 forecasts still beat this fine-tuned control; GPT-5.4 nano forecasts do not. Longer prose/TeX continuations show positive but noisier lift over controls, concentrated near the beginning of the target. These results support cross-model likelihood scoring as a static benchmark and as a setup for probing shortcut vulnerabilities before reinforcement learning or model-selection optimization is applied.
Comments: 13 pages + appendices, 4 figures
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.10810 [cs.LG]
  (or arXiv:2605.10810v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.10810

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Daniel Ranard [view email]
[v1] Mon, 11 May 2026 16:32:06 UTC (654 KB)