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Test-time scaling (TTS) for large language models (LLMs) has thus far fallen into two largely separate paradigms: (1) reinforcement learning (RL) methods that optimize sparse outcome-based rewards, yet suffer from instability and low sample…

Machine Learning · Computer Science 2026-02-10 Can Jin , Yang Zhou , Qixin Zhang , Hongwu Peng , Di Zhang , Zihan Dong , Marco Pavone , Ligong Han , Zhang-Wei Hong , Tong Che , Dimitris N. Metaxas

Reinforcement learning with verifiable rewards (RLVR) has enabled large language models (LLMs) to achieve remarkable breakthroughs in reasoning tasks with objective ground-truth answers, such as mathematics and code generation. However, a…

Computation and Language · Computer Science 2025-06-12 Ruipeng Jia , Yunyi Yang , Yongbo Gai , Kai Luo , Shihao Huang , Jianhe Lin , Xiaoxi Jiang , Guanjun Jiang

Reinforcement learning from verifiable rewards (RLVR) stimulates the thinking processes of large language models (LLMs), substantially enhancing their reasoning abilities on verifiable tasks. It is often assumed that similar gains should…

Computation and Language · Computer Science 2026-03-24 Kaiyuan Li , Jing-Cheng Pang , Yang Yu

Designing effective reward functions remains a fundamental challenge in reinforcement learning (RL), as it often requires extensive human effort and domain expertise. While RL from human feedback has been successful in aligning agents with…

Machine Learning · Computer Science 2025-06-17 Tung Minh Luu , Younghwan Lee , Donghoon Lee , Sunho Kim , Min Jun Kim , Chang D. Yoo

Large Language Model (LLM) reasoning for complex tasks inherently involves a trade-off between solution accuracy and computational efficiency. The subsequent step of verification, while intended to improve performance, further complicates…

Artificial Intelligence · Computer Science 2025-05-20 Jianyuan Zhong , Zeju Li , Zhijian Xu , Xiangyu Wen , Kezhi Li , Qiang Xu

Large Language Models (LLMs) demonstrate strong capabilities for solving scientific and mathematical problems, yet they struggle to produce valid, challenging, and novel problems - an essential component for advancing LLM training and…

Machine Learning · Computer Science 2026-05-08 Yuhang Lai , Jiazhan Feng , Yee Whye Teh , Ning Miao

Reward Model (RM) has demonstrated impressive potential for enhancing Large Language Models (LLM), as RM can serve as a proxy for human preferences, providing signals to guide LLMs' behavior in various tasks. In this paper, we provide a…

Computation and Language · Computer Science 2025-04-18 Jialun Zhong , Wei Shen , Yanzeng Li , Songyang Gao , Hua Lu , Yicheng Chen , Yang Zhang , Wei Zhou , Jinjie Gu , Lei Zou

Reinforcement learning (RL) has significantly improved the reasoning ability of large language models. However, current reward models underperform in challenging reasoning scenarios and predominant RL training paradigms rely on rule-based…

Computation and Language · Computer Science 2025-07-30 Meng Zhou , Bei Li , Jiahao Liu , Xiaowen Shi , Yang Bai , Rongxiang Weng , Jingang Wang , Xunliang Cai

Reinforcement Learning with Verifiable reward (RLVR) on preference data has become the mainstream approach for training Generative Reward Models (GRMs). Typically in pairwise rewarding tasks, GRMs generate reasoning chains ending with…

Computation and Language · Computer Science 2026-05-04 Zongqi Wang , Rui Wang , Yuchuan Wu , Yiyao Yu , Pinyi Zhang , Shaoning Sun , Yujiu Yang , Yongbin Li

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

Large language models are increasingly used to support high-stakes decisions, potentially influencing who is granted bail or receives a loan. Naive chain-of-thought sampling can improve average decision accuracy, but has also been shown to…

Machine Learning · Computer Science 2025-07-16 Zara Hall , Melanie Subbiah , Thomas P Zollo , Kathleen McKeown , Richard Zemel

Reinforcement learning from verifiable rewards (RLVR) has shown strong promise for LLM reasoning, but outcome-based RLVR remains inefficient on hard problems because correct final-answer rollouts are rare and sample-level credit assignment…

Machine Learning · Computer Science 2026-05-22 Xitai Jiang , Zihan Tang , Wenze Lin , Yang Yue , Shenzhi Wang , Gao Huang

Reward models (RMs), which are central to existing post-training methods, aim to align LLM outputs with human values by providing feedback signals during fine-tuning. However, existing RMs struggle to capture nuanced, user-specific…

Machine Learning · Computer Science 2025-08-21 Mengdi Li , Guanqiao Chen , Xufeng Zhao , Haochen Wen , Shu Yang , Di Wang

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective approach for enhancing the reasoning capabilities of Large Language Models (LLMs). Despite its efficacy, RLVR faces a meta-learning bottleneck: it lacks…

Machine Learning · Computer Science 2026-02-12 Shiting Huang , Zecheng Li , Yu Zeng , Qingnan Ren , Zhen Fang , Qisheng Su , Kou Shi , Lin Chen , Zehui Chen , Feng Zhao

Reinforcement learning (RL) with outcome-based rewards has proven effective for improving large language models (LLMs) on complex reasoning tasks. However, its success often depends on the base model occasionally sampling correct solutions.…

Machine Learning · Computer Science 2025-10-07 Jatin Prakash , Anirudh Buvanesh

Reinforcement Learning with Verifiable Rewards (RLVR) plays a key role in stimulating the explicit reasoning capability of Large Language Models (LLMs). We can achieve expert-level performance in some specific domains via RLVR, such as…

Artificial Intelligence · Computer Science 2026-03-12 Haoqing Wang , Xiang Long , Ziheng Li , Yilong Xu , Tingguang Li , Yehui Tang

While the reasoning abilities of large language models (LLMs) continue to advance, it remains unclear how such ability varies across languages in multilingual LLMs and whether different languages produce reasoning paths that complement each…

Computation and Language · Computer Science 2025-09-22 Sara Rajaee , Rochelle Choenni , Ekaterina Shutova , Christof Monz

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Reinforcement Learning with Verifiable Rewards (RLVR) improves multimodal reasoning by rewarding verifiable final answers. Yet answer-correct trajectories may still rely on incomplete derivations, weak evidence, or statements that…

Computation and Language · Computer Science 2026-04-22 Mengzhao Jia , Zhihan Zhang , Meng Jiang

Process Reward Models (PRMs) are crucial for guiding Large Language Models (LLMs) in complex scenarios by providing dense reward signals. However, existing PRMs primarily rely on heuristic approaches, which struggle with cross-domain…

Computation and Language · Computer Science 2025-07-25 Zhangyue Yin , Qiushi Sun , Zhiyuan Zeng , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang