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Large language models (LLMs) can act as both problem solvers and solution verifiers, where the latter select high-quality answers from a pool of solver-generated candidates. This raises the question of under what conditions verification…

Computation and Language · Computer Science 2026-04-22 Jack Lu , Ryan Teehan , Jinran Jin , Mengye Ren

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

Safe deployment of large language models (LLMs) may benefit from a reliable method for assessing their generated content to determine when to abstain or to selectively generate. While likelihood-based metrics such as perplexity are widely…

Computation and Language · Computer Science 2023-12-18 Jie Ren , Yao Zhao , Tu Vu , Peter J. Liu , Balaji Lakshminarayanan

Self-improvement is a mechanism in Large Language Model (LLM) pre-training, post-training and test-time inference. We explore a framework where the model verifies its own outputs, filters or reweights data based on this verification, and…

Computation and Language · Computer Science 2025-02-26 Yuda Song , Hanlin Zhang , Carson Eisenach , Sham Kakade , Dean Foster , Udaya Ghai

Large Language Models (LLMs) have demonstrated impressive capabilities in complex reasoning tasks, yet they still struggle to reliably verify the correctness of their own outputs. Existing solutions to this verification challenge often…

Computation and Language · Computer Science 2025-06-13 Yuhua Jiang , Yuwen Xiong , Yufeng Yuan , Chao Xin , Wenyuan Xu , Yu Yue , Qianchuan Zhao , Lin Yan

Self-correction has emerged as a promising solution to boost the reasoning performance of large language models (LLMs), where LLMs refine their solutions using self-generated critiques that pinpoint the errors. This work explores whether…

Computation and Language · Computer Science 2024-06-07 Yunxiang Zhang , Muhammad Khalifa , Lajanugen Logeswaran , Jaekyeom Kim , Moontae Lee , Honglak Lee , Lu Wang

There have been widespread claims about Large Language Models (LLMs) being able to successfully verify or self-critique their candidate solutions in reasoning problems in an iterative mode. Intrigued by those claims, in this paper we set…

Artificial Intelligence · Computer Science 2023-10-13 Karthik Valmeekam , Matthew Marquez , Subbarao Kambhampati

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

Verifiers or reward models are often used to enhance the reasoning performance of large language models (LLMs). A common approach is the Best-of-N method, where N candidate solutions generated by the LLM are ranked by a verifier, and the…

Machine Learning · Computer Science 2025-02-25 Lunjun Zhang , Arian Hosseini , Hritik Bansal , Mehran Kazemi , Aviral Kumar , Rishabh Agarwal

Recent advances in large language models (LLMs) have improved their performance on coding benchmarks. However, improvement is plateauing due to the exhaustion of readily available high-quality data. Prior work has shown the potential of…

Software Engineering · Computer Science 2026-03-04 Zi Lin , Sheng Shen , Ilia Kulikov , Jingbo Shang , Jason Weston , Yixin Nie

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

The reasoning capabilities of large language models (LLMs) have been significantly improved through reinforcement learning (RL). Nevertheless, LLMs still struggle to consistently verify their own reasoning traces. This raises the research…

Machine Learning · Computer Science 2025-11-20 Xiaoxuan Wang , Bo Liu , Song Jiang , Jingzhou Liu , Jingyuan Qi , Xia Chen , Baosheng He

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

Computation and Language · Computer Science 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty

This paper explores the assumption that Large Language Models (LLMs) skilled in generation tasks are equally adept as evaluators. We assess the performance of three LLMs and one open-source LM in Question-Answering (QA) and evaluation tasks…

Computation and Language · Computer Science 2026-03-09 Juhyun Oh , Eunsu Kim , Inha Cha , Alice Oh

Large language models have recently demonstrated remarkable abilities to self-correct their responses through iterative refinement, often referred to as self-consistency or self-reflection. However, the dynamics of this self-correction…

Computation and Language · Computer Science 2025-11-13 Hossein A. Rahmani , Satyapriya Krishna , Xi Wang , Mohammadmehdi Naghiaei , Emine Yilmaz

While large language models have made significant progress in mathematical reasoning, they remain unreliable at judging the correctness of their own solutions. Existing approaches that equip models with self-verification typically treat…

Computation and Language · Computer Science 2026-05-28 Haihui Pan , Junwei Bao , Hongfei Jiang , Yang Song

To enhance Large Language Models' (LLMs) reliability, calibration is essential -- the model's assessed confidence scores should align with the actual likelihood of its responses being correct. However, current confidence elicitation methods…

Computation and Language · Computer Science 2024-10-29 Yukun Huang , Yixin Liu , Raghuveer Thirukovalluru , Arman Cohan , Bhuwan Dhingra

Recent Language Models (LMs) have shown impressive capabilities in generating texts with the knowledge internalized in parameters. Yet, LMs often generate the factually incorrect responses to the given queries, since their knowledge may be…

Computation and Language · Computer Science 2023-10-20 Jinheon Baek , Soyeong Jeong , Minki Kang , Jong C. Park , Sung Ju Hwang

There is considerable confusion about the role of Large Language Models (LLMs) in planning and reasoning tasks. On one side are over-optimistic claims that LLMs can indeed do these tasks with just the right prompting or self-verification…

Artificial Intelligence · Computer Science 2024-06-13 Subbarao Kambhampati , Karthik Valmeekam , Lin Guan , Mudit Verma , Kaya Stechly , Siddhant Bhambri , Lucas Saldyt , Anil Murthy

There has been considerable divergence of opinion on the reasoning abilities of Large Language Models (LLMs). While the initial optimism that reasoning might emerge automatically with scale has been tempered thanks to a slew of…

Artificial Intelligence · Computer Science 2024-08-06 Kaya Stechly , Karthik Valmeekam , Subbarao Kambhampati
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