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Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

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

Language models trained to solve reasoning tasks via reinforcement learning have achieved striking results. We refer to these models as reasoning models. Are the Chains of Thought (CoTs) of reasoning models more faithful than traditional…

Machine Learning · Computer Science 2025-07-16 James Chua , Owain Evans

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

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

Trustworthy verifiers are essential for the success of reinforcement learning with verifiable reward (RLVR), which is the core methodology behind various large reasoning models such as DeepSeek-R1. In complex domains like mathematical…

Machine Learning · Computer Science 2025-10-08 Yuzhen Huang , Weihao Zeng , Xingshan Zeng , Qi Zhu , Junxian He

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…

Self-improvement at scale has been a longstanding goal for reasoning models, and there are two natural places to do it: at test time, through verification-refinement (V-R) loops; and at training time, through self-training methods. Both are…

Machine Learning · Computer Science 2026-05-29 Chen Henry Wu , Aditi Raghunathan

Prompting language models to provide step-by-step answers (e.g., "Chain-of-Thought") is the prominent approach for complex reasoning tasks, where more accurate reasoning chains typically improve downstream task performance. Recent…

Computation and Language · Computer Science 2024-05-22 Alon Jacovi , Yonatan Bitton , Bernd Bohnet , Jonathan Herzig , Or Honovich , Michael Tseng , Michael Collins , Roee Aharoni , Mor Geva

Despite the strong reasoning ability of large language models~(LLMs), they are prone to errors and hallucinations. As a result, how to check their outputs effectively and efficiently has become a critical problem in their applications.…

Artificial Intelligence · Computer Science 2025-10-29 Jiayu Liu , Wei Dai , Zhenya Huang , Ning Miao , Enhong Chen

Same-model self-verification, prompting a model to audit its own predicted answer, is a plausible confidence signal for selective prediction, but its practical value remains unclear once strong likelihood-based baselines are taken…

Computation and Language · Computer Science 2026-05-06 Aditya Ajay Phalod

Reinforcement learning (RL) training of large language models (LLMs) on unverifiable tasks is challenging even when a reasonable-quality reference answer is available. We propose a constrained RL training framework that (i) optimizes a…

Many of the recent capabilities demonstrated by Large Language Models (LLMs) arise primarily from their ability to exploit contextual information. In this paper, we explore ways to improve reasoning capabilities of LLMs through (1)…

How far are Large Language Models (LLMs) in performing deep relational reasoning? In this paper, we evaluate and compare the reasoning capabilities of three cutting-edge LLMs, namely, DeepSeek-R1, DeepSeek-V3 and GPT-4o, through a suite of…

Artificial Intelligence · Computer Science 2025-07-01 Chi Chiu So , Yueyue Sun , Jun-Min Wang , Siu Pang Yung , Anthony Wai Keung Loh , Chun Pong Chau

Chain of Thought (CoT) reasoning has demonstrated remarkable deep reasoning capabilities in both large language models (LLMs) and multimodal large language models (MLLMs). However, its reliability is often undermined by the accumulation of…

Artificial Intelligence · Computer Science 2025-11-26 Zijun Chen , Wenbo Hu , Richang Hong

Breaking down a problem into intermediate steps has demonstrated impressive performance in Large Language Model (LLM) reasoning. However, the growth of the reasoning chain introduces uncertainty and error accumulation, making it challenging…

Computation and Language · Computer Science 2023-10-27 Yuxi Xie , Kenji Kawaguchi , Yiran Zhao , Xu Zhao , Min-Yen Kan , Junxian He , Qizhe Xie

We study the source of uncertainty in DeepSeek R1-32B by analyzing its self-reported verbal confidence on question answering (QA) tasks. In the default answer-then-confidence setting, the model is regularly over-confident, whereas semantic…

Computation and Language · Computer Science 2025-11-06 Jakub Podolak , Rajeev Verma

Explicit reasoning models are trained to produce intermediate reasoning traces before final answers, but downstream fine-tuning is often performed on ordinary instruction-response data that contains no such traces. We show that this…

Machine Learning · Computer Science 2026-05-21 Lukas Twist , Helen Yannakoudakis , Jie M. Zhang

How can we trust the correctness of a learned model on a particular input of interest? Model accuracy is typically measured on average over a distribution of inputs, giving no guarantee for any fixed input. This paper proposes a…

Machine Learning · Computer Science 2025-12-19 Noga Amit , Shafi Goldwasser , Orr Paradise , Guy Rothblum

Advanced test-time computing strategies are essential for scaling reasoning models, but their effectiveness is capped by the models' poor self-evaluation. We propose a pairwise Explanatory Verifier, trained via reinforcement learning…

Artificial Intelligence · Computer Science 2025-09-25 Anisha Garg , Engin Tekin , Yash More , David Bick , Nishit Neema , Ganesh Venkatesh
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