On Calibration of Large Language Models: From Response To Capability

Fuente: arXiv
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Autores principales: Yang, Sin-Han, Wu, Cheng-Kuang, Lin, Chieh-Yen, Chen, Yun-Nung, Lee, Hung-yi, Sun, Shao-Hua
Formato: Preprint
Publicado: 2026
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author Yang, Sin-Han
Wu, Cheng-Kuang
Lin, Chieh-Yen
Chen, Yun-Nung
Lee, Hung-yi
Sun, Shao-Hua
author_facet Yang, Sin-Han
Wu, Cheng-Kuang
Lin, Chieh-Yen
Chen, Yun-Nung
Lee, Hung-yi
Sun, Shao-Hua
contents Large language models (LLMs) are widely deployed as general-purpose problem solvers, making accurate confidence estimation critical for reliable use. Prior work on LLM calibration largely focuses on response-level confidence, which estimates the correctness of a single generated output. However, this formulation is misaligned with many practical settings where the central question is how likely a model is to solve a query overall. We show that this mismatch results from the stochastic nature of modern LLM decoding, under which single-response correctness fails to reflect underlying model capability. To address this issue, we introduce capability calibration, which targets the model's expected accuracy on a query. We formally distinguish capability calibration from response calibration and show that the two differ both theoretically and empirically. We establish an empirical evaluation setup and study a range of confidence estimation methods. Our results demonstrate that capability-calibrated confidence improves pass@$k$ prediction and inference budget allocation, establishing a foundation with potential for diverse applications.
format Preprint
id arxiv_https___arxiv_org_abs_2602_13540
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Calibration of Large Language Models: From Response To Capability
Yang, Sin-Han
Wu, Cheng-Kuang
Lin, Chieh-Yen
Chen, Yun-Nung
Lee, Hung-yi
Sun, Shao-Hua
Computation and Language
Artificial Intelligence
Machine Learning
Large language models (LLMs) are widely deployed as general-purpose problem solvers, making accurate confidence estimation critical for reliable use. Prior work on LLM calibration largely focuses on response-level confidence, which estimates the correctness of a single generated output. However, this formulation is misaligned with many practical settings where the central question is how likely a model is to solve a query overall. We show that this mismatch results from the stochastic nature of modern LLM decoding, under which single-response correctness fails to reflect underlying model capability. To address this issue, we introduce capability calibration, which targets the model's expected accuracy on a query. We formally distinguish capability calibration from response calibration and show that the two differ both theoretically and empirically. We establish an empirical evaluation setup and study a range of confidence estimation methods. Our results demonstrate that capability-calibrated confidence improves pass@$k$ prediction and inference budget allocation, establishing a foundation with potential for diverse applications.
title On Calibration of Large Language Models: From Response To Capability
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2602.13540