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Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

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

Alignment of large language models (LLMs) typically involves training a reward model on preference data, followed by policy optimization with respect to the reward model. However, optimizing policies with respect to a single reward model…

Machine Learning · Computer Science 2025-07-23 Debangshu Banerjee , Kintan Saha , Aditya Gopalan

Reinforcement Learning (RL) has been shown to substantially improve the reasoning capability of small and large language models (LLMs), but existing approaches typically rely on verifiable rewards, hence ground truth labels. We propose an…

Computation and Language · Computer Science 2026-04-06 Yiyang Shen , Lifu Tu , Weiran Wang

Reasoning is a cognitive process of using evidence to reach a sound conclusion. The reasoning capability is essential for large language models (LLMs) to serve as the brain of the artificial general intelligence agent. Recent studies reveal…

Computation and Language · Computer Science 2023-09-06 Peiyi Wang , Lei Li , Liang Chen , Feifan Song , Binghuai Lin , Yunbo Cao , Tianyu Liu , Zhifang Sui

Although Large Language Models (LLMs) exhibit advanced reasoning ability, conventional alignment remains largely dominated by outcome reward models (ORMs) that judge only final answers. Process Reward Models(PRMs) address this gap by…

Computation and Language · Computer Science 2026-04-30 Congmin Zheng , Jiachen Zhu , Zhuoying Ou , Yuxiang Chen , Kangning Zhang , Rong Shan , Zeyu Zheng , Mengyue Yang , Jianghao Lin , Yong Yu , Weinan Zhang

The rapid emergence of diverse large language models (LLMs) has spurred the development of LLM routers that assign user queries to the most suitable model. However, existing LLM routers typically perform a single-round, one-to-one mapping…

Computation and Language · Computer Science 2025-10-27 Haozhen Zhang , Tao Feng , Jiaxuan You

Recent advancements in large language models (LLMs) have demonstrated emergent capabilities in complex reasoning, largely spurred by rule-based Reinforcement Learning (RL) techniques applied during the post-training. This has raised the…

Machine Learning · Computer Science 2025-07-22 Sneheel Sarangi , Hanan Salam

Reasoning is most powerful when an LLM accurately aggregates relevant information. We examine the critical role of information aggregation in reasoning by requiring the LLM to analyze sports narratives. To succeed at this task, an LLM must…

Computation and Language · Computer Science 2024-10-07 Yebowen Hu , Kaiqiang Song , Sangwoo Cho , Xiaoyang Wang , Wenlin Yao , Hassan Foroosh , Dong Yu , Fei Liu

Reaching some form of consensus is often necessary for autonomous agents that want to coordinate their actions or otherwise engage in joint activities. One way to reach a consensus is by aggregating individual information, such as…

Multiagent Systems · Computer Science 2016-07-13 Marija Slavkovik

Reinforcement Learning (RL) has proven highly effective in aligning Large Language Models (LLMs) with human preferences. Typical RL methods optimize under an overall sequence reward, which can lead to a suboptimal learning process. This…

Machine Learning · Computer Science 2025-02-26 Yanshi Li , Shaopan Xiong , Gengru Chen , Xiaoyang Li , Yijia Luo , Xingyuan Bu , Yingshui Tan , Wenbo Su , Bo Zheng

Reward models (RMs) play a crucial role in aligning large language models (LLMs) with human preferences and enhancing reasoning quality. Traditionally, RMs are trained to rank candidate outputs based on their correctness and coherence.…

Machine Learning · Computer Science 2025-02-21 Yuhui Xu , Hanze Dong , Lei Wang , Caiming Xiong , Junnan Li

A common approach for aligning language models to human preferences is to first learn a reward model from preference data, and then use this reward model to update the language model. We study two closely related problems that arise in this…

Computation and Language · Computer Science 2024-07-22 Zihao Wang , Chirag Nagpal , Jonathan Berant , Jacob Eisenstein , Alex D'Amour , Sanmi Koyejo , Victor Veitch

In the era of Large Language Models (LLMs), alignment has emerged as a fundamental yet challenging problem in the pursuit of more reliable, controllable, and capable machine intelligence. The recent success of reasoning models and…

Machine Learning · Computer Science 2025-07-18 Hao Sun , Mihaela van der Schaar

Learning reward functions remains the bottleneck to equip a robot with a broad repertoire of skills. Large Language Models (LLM) contain valuable task-related knowledge that can potentially aid in the learning of reward functions. However,…

Robotics · Computer Science 2024-05-17 Yuwei Zeng , Yao Mu , Lin Shao

Large Language Models (LLMs) are smart but forgetful. Recent studies, (e.g., (Bubeck et al., 2023)) on modern LLMs have shown that they are capable of performing amazing tasks typically necessitating human-level intelligence. However,…

Computation and Language · Computer Science 2023-11-08 Eric Melz

Large Language Models (LLMs) have shown remarkable capabilities in general natural language processing tasks but often fall short in complex reasoning tasks. Recent studies have explored human-like problem-solving strategies, such as…

Computation and Language · Computer Science 2023-12-19 Zhenran Xu , Senbao Shi , Baotian Hu , Jindi Yu , Dongfang Li , Min Zhang , Yuxiang Wu

Training large language models with reinforcement learning (RL) against verifiable rewards significantly enhances their reasoning abilities, yet remains computationally expensive due to inefficient uniform prompt sampling. We introduce…

Machine Learning · Computer Science 2026-03-06 Ruiqi Zhang , Daman Arora , Song Mei , Andrea Zanette

Can large language models improve without external data -- by generating their own questions and answers? We hypothesize that a pre-trained language model can improve its reasoning skills given only a single prompt specifying the topic…

Machine Learning · Computer Science 2025-09-11 Lili Chen , Mihir Prabhudesai , Katerina Fragkiadaki , Hao Liu , Deepak Pathak

Reinforcement learning (RL) can refine the reasoning abilities of large language models (LLMs), but critically depends on a key prerequisite: the LLM can already generate high-utility reasoning paths with non-negligible probability. For…

Artificial Intelligence · Computer Science 2025-10-30 Tianqianjin Lin , Xi Zhao , Xingyao Zhang , Rujiao Long , Yi Xu , Zhuoren Jiang , Wenbo Su , Bo Zheng
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