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Self-Consistency, a widely-used decoding strategy, significantly boosts the reasoning capabilities of Large Language Models (LLMs). However, it depends on the plurality voting rule, which focuses on the most frequent answer while…

Computation and Language · Computer Science 2025-09-18 Siyuan Huang , Zhiyuan Ma , Jintao Du , Changhua Meng , Weiqiang Wang , Zhouhan Lin

Test-time scaling (TTS) has emerged as a new frontier for scaling the performance of Large Language Models. In test-time scaling, by using more computational resources during inference, LLMs can improve their reasoning process and task…

Computation and Language · Computer Science 2025-09-10 V Venktesh , Mandeep Rathee , Avishek Anand

Large language models (LLMs) struggle with multi-step reasoning, where inference-time scaling has emerged as a promising strategy for performance improvement. Verifier-guided search outperforms repeated sampling when sample size is limited…

Computation and Language · Computer Science 2025-02-04 Fei Yu , Yingru Li , Benyou Wang

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

Reinforcement Learning (RL) has become a powerful tool for enhancing the reasoning abilities of large language models (LLMs) by optimizing their policies with reward signals. Yet, RL's success relies on the reliability of rewards, which are…

Machine Learning · Computer Science 2025-05-23 Zhangchen Xu , Yuetai Li , Fengqing Jiang , Bhaskar Ramasubramanian , Luyao Niu , Bill Yuchen Lin , Radha Poovendran

Critiques are important for enhancing the performance of Large Language Models (LLMs), enabling both self-improvement and constructive feedback for others by identifying flaws and suggesting improvements. However, evaluating the critique…

Computation and Language · Computer Science 2025-01-27 Zhengyang Tang , Ziniu Li , Zhenyang Xiao , Tian Ding , Ruoyu Sun , Benyou Wang , Dayiheng Liu , Fei Huang , Tianyu Liu , Bowen Yu , Junyang Lin

Reward modeling is crucial for aligning large language models (LLMs) with human preferences, especially in reinforcement learning from human feedback (RLHF). However, current reward models mainly produce scalar scores and struggle to…

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

Despite substantial advances in scaling test-time compute, an ongoing debate in the community is how it should be scaled up to enable continued and efficient improvements with scaling. There are largely two approaches: first, distilling…

Machine Learning · Computer Science 2025-02-19 Amrith Setlur , Nived Rajaraman , Sergey Levine , Aviral Kumar

Large Language Models (LLMs) show great promise in complex reasoning, with Reinforcement Learning with Verifiable Rewards (RLVR) being a key enhancement strategy. However, a prevalent issue is ``superficial self-reflection'', where models…

Artificial Intelligence · Computer Science 2025-05-20 Xiaoyuan Liu , Tian Liang , Zhiwei He , Jiahao Xu , Wenxuan Wang , Pinjia He , Zhaopeng Tu , Haitao Mi , Dong Yu

Large Reasoning Models (LRMs) achieve strong performance by generating long reasoning traces with reflection. Through a large-scale empirical analysis, we find that a substantial fraction of reflective steps consist of self-verification…

Computation and Language · Computer Science 2026-02-04 Quanyu Long , Kai Jie Jiang , Jianda Chen , Xu Guo , Leilei Gan , Wenya Wang

Teaching large language models (LLMs) to critique and refine their outputs is crucial for building systems that can iteratively improve, yet it is fundamentally limited by the ability to provide accurate judgments and actionable…

Machine Learning · Computer Science 2025-12-02 Zhihui Xie , Jie Chen , Liyu Chen , Weichao Mao , Jingjing Xu , Lingpeng Kong

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

Critical thinking is essential for rational decision-making and problem-solving. This skill hinges on the ability to provide precise and reasoned critiques and is a hallmark of human intelligence. In the era of large language models (LLMs),…

Machine Learning · Computer Science 2023-10-10 Liangchen Luo , Zi Lin , Yinxiao Liu , Lei Shu , Yun Zhu , Jingbo Shang , Lei Meng

Through reinforcement learning with verifiable rewards (RLVR), large language models have achieved substantial progress in domains with easily verifiable outcomes, such as mathematics and coding. However, when applied to more complex tasks…

Computation and Language · Computer Science 2025-10-01 Qiyao Ma , Yunsheng Shi , Hongtao Tian , Chao Wang , Weiming Chang , Ting Yao

Large language models (LLMs) have shown increasing competence in solving mathematical reasoning problems. However, many open-source LLMs still struggle with errors in calculation and semantic understanding during intermediate reasoning…

Computation and Language · Computer Science 2024-12-18 Vernon Y. H. Toh , Deepanway Ghosal , Soujanya Poria

Reinforcement learning with verifiable rewards (RLVR) enhances the reasoning of large language models (LLMs), but standard RLVR often depends on human-annotated answers or carefully curated reward specifications. In machine-checkable…

Artificial Intelligence · Computer Science 2026-04-29 Xinjie Chen , Biao Fu , Jing Wu , Guoxin Chen , Xinggao Liu , Dayiheng Liu , Minpeng Liao

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

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…

Despite their remarkable performance, Large Language Models (LLMs) face a critical challenge: providing feedback for tasks where human evaluation is difficult or where LLMs potentially outperform humans. In such scenarios, leveraging the…

Computation and Language · Computer Science 2025-08-05 Zhengyang Tang , Ziniu Li , Zhenyang Xiao , Tian Ding , Ruoyu Sun , Benyou Wang , Dayiheng Liu , Fei Huang , Tianyu Liu , Bowen Yu , Junyang Lin
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