Uncertainty Quantification for LLM-based Code Generation

Fuente: arXiv
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Main Authors: Xu, Senrong, Tan, Yuhao, Zhou, Yanke, Wu, Guangyuan, Li, Zenan, Yao, Yuan, Chen, Taolue, Xu, Feng, Ma, Xiaoxing
Format: Preprint
Published: 2026
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_version_ 1866914559561826304
author Xu, Senrong
Tan, Yuhao
Zhou, Yanke
Wu, Guangyuan
Li, Zenan
Yao, Yuan
Chen, Taolue
Xu, Feng
Ma, Xiaoxing
author_facet Xu, Senrong
Tan, Yuhao
Zhou, Yanke
Wu, Guangyuan
Li, Zenan
Yao, Yuan
Chen, Taolue
Xu, Feng
Ma, Xiaoxing
contents Prediction sets provide a theoretically grounded framework for quantifying uncertainty in machine learning models. Adapting them to structured generation tasks, in particular, large language model (LLM) based code generation, remains a challenging problem. An existing attempt proposes PAC prediction sets but is limited by its strong monotonicity assumption on risk and single-label classification framework, which severely limits the space of candidate programs and cannot accommodate the multiple valid outputs inherent to code generation. To address these limitations, we propose an approach RisCoSet that leverages multiple hypothesis testing to construct risk-controlling predictions for LLM-based code generation. Given a trained code generation model, we produce a prediction set represented by a partial program, which is guaranteed to contain a correct solution with high confidence. Extensive experiments on three LLMs demonstrate the effectiveness of the proposed method. For instance, compared with the state-of-the-art, our method can significantly reduce the code removal by up to 24.5%, at the same level of risk.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12201
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Uncertainty Quantification for LLM-based Code Generation
Xu, Senrong
Tan, Yuhao
Zhou, Yanke
Wu, Guangyuan
Li, Zenan
Yao, Yuan
Chen, Taolue
Xu, Feng
Ma, Xiaoxing
Software Engineering
Artificial Intelligence
Prediction sets provide a theoretically grounded framework for quantifying uncertainty in machine learning models. Adapting them to structured generation tasks, in particular, large language model (LLM) based code generation, remains a challenging problem. An existing attempt proposes PAC prediction sets but is limited by its strong monotonicity assumption on risk and single-label classification framework, which severely limits the space of candidate programs and cannot accommodate the multiple valid outputs inherent to code generation. To address these limitations, we propose an approach RisCoSet that leverages multiple hypothesis testing to construct risk-controlling predictions for LLM-based code generation. Given a trained code generation model, we produce a prediction set represented by a partial program, which is guaranteed to contain a correct solution with high confidence. Extensive experiments on three LLMs demonstrate the effectiveness of the proposed method. For instance, compared with the state-of-the-art, our method can significantly reduce the code removal by up to 24.5%, at the same level of risk.
title Uncertainty Quantification for LLM-based Code Generation
topic Software Engineering
Artificial Intelligence
url https://arxiv.org/abs/2605.12201