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Large language models (LLMs) are designed to perform a wide range of tasks. To improve their ability to solve complex problems requiring multi-step reasoning, recent research leverages process reward modeling to provide fine-grained…

Computation and Language · Computer Science 2025-09-29 Weixuan Wang , Minghao Wu , Barry Haddow , Alexandra Birch

The reward model (RM) that represents human preferences plays a crucial role in optimizing the outputs of large language models (LLMs), e.g., through reinforcement learning from human feedback (RLHF) or rejection sampling. However, a long…

Artificial Intelligence · Computer Science 2025-04-22 Yizhou Chen , Yawen Liu , Xuesi Wang , Qingtao Yu , Guangda Huzhang , Anxiang Zeng , Han Yu , Zhiming Zhou

Reinforcement Learning (RL) has enabled Large Language Models (LLMs) to achieve remarkable reasoning in domains like mathematics and coding, where verifiable rewards provide clear signals. However, extending this paradigm to financial…

Artificial Intelligence · Computer Science 2026-01-09 Rui Sun , Yifan Sun , Sheng Xu , Li Zhao , Jing Li , Daxin Jiang , Cheng Hua , Zuo Bai

Process Reward Models (PRMs) have emerged as a promising approach to enhance the reasoning capabilities of large language models (LLMs) by guiding their step-by-step reasoning toward a final answer. However, existing PRMs either treat each…

Machine Learning · Computer Science 2026-03-02 Zheng Zhang , Ziwei Shan , Kaitao Song , Yexin Li , Kan Ren

Reward models play a critical role in guiding large language models toward outputs that align with human expectations. However, an open challenge remains in effectively utilizing test-time compute to enhance reward model performance. In…

Computation and Language · Computer Science 2025-05-21 Jiaxin Guo , Zewen Chi , Li Dong , Qingxiu Dong , Xun Wu , Shaohan Huang , Furu Wei

Large Language Models (LLMs) have achieved remarkable success on reasoning benchmarks through Reinforcement Learning with Verifiable Rewards (RLVR), excelling at tasks such as math, coding, logic, and puzzles. However, existing benchmarks…

Artificial Intelligence · Computer Science 2026-05-12 Xiaozhe Li , Xinyu Fang , Shengyuan Ding , Yang Li , Linyang Li , Haodong Duan , Qingwen Liu , Kai Chen

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 made substantial strides in structured tasks through Reinforcement Learning (RL), demonstrating proficiency in mathematical reasoning and code generation. However, applying RL in broader domains like…

Computation and Language · Computer Science 2025-02-10 Hao Sun , Yunyi Shen , Jean-Francois Ton , Mihaela van der Schaar

Most reinforcement learning (RL) methods for training large language models (LLMs) require ground-truth labels or task-specific verifiers, limiting scalability when correctness is ambiguous or expensive to obtain. We introduce Reinforcement…

Neural and Evolutionary Computing · Computer Science 2026-01-30 Micah Rentschler , Jesse Roberts

Reinforcement Learning with Verifiable Rewards~(RLVR) has become a prominent paradigm to enhance the capabilities (i.e.\ long-context) of Large Language Models~(LLMs). However, it often relies on gold-standard answers or explicit evaluation…

Computation and Language · Computer Science 2026-03-03 Yao Xiao , Lei Wang , Yue Deng , Guanzheng Chen , Ziqi Jin , Jung-jae Kim , Xiaoli Li , Roy Ka-wei Lee , Lidong Bing

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

While reinforcement learning has advanced the reasoning abilities of Large Language Models (LLMs), these gains are largely confined to English, creating a significant performance disparity across languages. To address this, we introduce…

Computation and Language · Computer Science 2025-10-01 Fahim Faisal , Kaiqiang Song , Song Wang , Simin Ma , Shujian Liu , Haoyun Deng , Sathish Reddy Indurthi

Reinforcement learning (RL) has been widely adopted in post-training for large language models (LLMs) at scale. Recently, the incentivization of reasoning capabilities in LLMs from RL indicates that $\textit{proper learning methods could…

Computation and Language · Computer Science 2025-09-26 Zijun Liu , Peiyi Wang , Runxin Xu , Shirong Ma , Chong Ruan , Peng Li , Yang Liu , Yu Wu

Recent neural theorem provers use reinforcement learning with verifiable rewards (RLVR), where proof assistants provide binary correctness signals. While verifiable rewards are cheap and scalable without reward hacking issues, they suffer…

Artificial Intelligence · Computer Science 2026-05-12 Zeynel A. Uluşan , Burak S. Akbudak , Can S. Erer , Gözde Gül Şahin

Reinforcement Learning with Verifiable Rewards (RLVR) improves final-answer accuracy on reasoning tasks, but it does not reliably improve reasoning quality. Because outcome rewards only assess final answers, they also reward spurious…

Machine Learning · Computer Science 2026-05-19 Chenlu Ye , Zhou Yu , Ziji Zhang , Hao Chen , Narayanan Sadagopan , Jing Huang , Tong Zhang , Anurag Beniwal

Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Mathematical reasoning benchmarks are vital for evaluating large language models (LLMs), but many are static and repeatedly exposed through public evaluation and training pipelines, making it difficult to separate genuine reasoning from…

Computation and Language · Computer Science 2026-05-28 Raoyuan Zhao , Yihong Liu , Yupei Du , Hinrich Schütze , Michael A. Hedderich

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

An impediment to using Large Language Models (LLMs) for reasoning output verification is that LLMs struggle to reliably identify errors in thinking traces, particularly in long outputs, domains requiring expert knowledge, and problems…

Computation and Language · Computer Science 2026-02-09 Kate Sanders , Nathaniel Weir , Sapana Chaudhary , Kaj Bostrom , Huzefa Rangwala

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz