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Reinforcement learning with verifiable rewards (RLVR) is a promising approach for training language models (LMs) on reasoning tasks that elicit emergent long chains of thought (CoTs). Unlike supervised learning, it updates the model using…

Computation and Language · Computer Science 2025-10-28 Xinyu Zhu , Mengzhou Xia , Zhepei Wei , Wei-Lin Chen , Danqi Chen , Yu Meng

Reinforcement learning (RL) has become a standard paradigm for refining large language models (LLMs) beyond pre-training and instruction tuning. A prominent line of work is RL with verifiable rewards (RLVR), which leverages automatically…

Machine Learning · Computer Science 2025-09-23 Bonan Zhang , Zhongqi Chen , Bowen Song , Qinya Li , Fan Wu , Guihai Chen

Reinforcement Learning with Verifiable Rewards (RLVR) replaces costly human labeling with automated verifiers. To reduce verifier hacking, many RLVR systems binarize rewards to $\{0,1\}$, but imperfect verifiers inevitably introduce…

Machine Learning · Computer Science 2026-05-25 Xin-Qiang Cai , Wei Wang , Feng Liu , Tongliang Liu , Gang Niu , Masashi Sugiyama

Reinforcement Learning with Verifiable Rewards (RLVR) has become a prominent method for post-training Large Language Models (LLMs). However, verifiers are rarely error-free; even deterministic checks can be inaccurate, and the growing…

Machine Learning · Computer Science 2026-04-10 Andreas Plesner , Francisco Guzmán , Anish Athalye

While large language models (LLMs) have demonstrated strong performance on factoid question answering, they are still prone to hallucination and untruthful responses, particularly when tasks demand information outside their parametric…

Reinforcement learning with verifiable rewards (RLVR) is a simple but powerful paradigm for training LLMs: sample a completion, verify it, and update. In practice, however, the verifier is almost never clean--unit tests probe only limited…

Machine Learning · Computer Science 2026-01-09 Ali Rad , Khashayar Filom , Darioush Keivan , Peyman Mohajerin Esfahani , Ehsan Kamalinejad

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

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

Reinforcement Learning with Verifiable Rewards (RLVR) enhances reasoning of Large Language Models (LLMs) but usually exhibits limited generation diversity due to the over-incentivization of positive rewards. Although methods like Negative…

Machine Learning · Computer Science 2026-05-11 Zihan Lin , Xiaohan Wang , Jie Cao , Jiajun Chai , Li Wang , Xiaodong Lu , Wei Lin , Ran He , Guojun Yin

Reinforcement Learning with Verifiable Rewards (RLVR) has become a powerful approach for improving the reasoning capabilities of large language models (LLMs). While RLVR is designed for tasks with verifiable ground-truth answers, real-world…

Machine Learning · Computer Science 2026-05-06 Kazuki Egashira , Mark Vero , Jasper Dekoninck , Florian E. Dorner , Robin Staab , Martin Vechev

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

Reinforcement Learning with Verifiable Rewards(RLVR) has demonstrated great potential in enhancing the reasoning capabilities of large language models (LLMs). However, its success has thus far been largely confined to the mathematical and…

Artificial Intelligence · Computer Science 2026-02-05 Mengyu Zhang , Siyu Ding , Weichong Yin , Yu Sun , Hua Wu

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a key method for improving Large Language Models' reasoning capabilities, yet recent evidence suggests it may paradoxically shrink the reasoning boundary rather than…

Artificial Intelligence · Computer Science 2025-10-03 Phuc Minh Nguyen , Chinh D. La , Duy M. H. Nguyen , Nitesh V. Chawla , Binh T. Nguyen , Khoa D. Doan

Test-time scaling via solution sampling and aggregation has become a key paradigm for improving the reasoning performance of Large Language Models (LLMs). While reward model selection is commonly employed in this approach, it often fails to…

Machine Learning · Computer Science 2025-09-30 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Yongxin Wang , Yiwei Wang , Xiaodan Liang , Jing Tang

Claim verification with large language models (LLMs) has recently attracted growing attention, due to their strong reasoning capabilities and transparent verification processes compared to traditional answer-only judgments. However,…

Computation and Language · Computer Science 2025-10-07 Qi He , Cheng Qian , Xiusi Chen , Bingxiang He , Yi R. Fung , Heng Ji

Large language models (LLMs) increasingly rely on reinforcement learning (RL) to enhance their reasoning capabilities through feedback. A critical challenge is verifying the consistency of model-generated responses and reference answers,…

Artificial Intelligence · Computer Science 2025-07-29 Xuzhao Li , Xuchen Li , Shiyu Hu , Yongzhen Guo , Wentao Zhang

Reinforcement learning with verifiable rewards (RLVR) has become a key technique for enhancing large language models (LLMs), with verification engineering playing a central role. However, best practices for RL in instruction following…

Computation and Language · Computer Science 2025-06-12 Hao Peng , Yunjia Qi , Xiaozhi Wang , Bin Xu , Lei Hou , Juanzi Li

Reinforcement learning with verifiable rewards (RLVR) has demonstrated promising potential to enhance the reasoning capabilities of large language models (LLMs) in domains such as mathematics and coding. However, its applications on…

Computation and Language · Computer Science 2026-05-19 Zhonghang Yuan , Zhefan Wang , Fang Hu , Zihong Chen , Jinzhe Li , Gang Li , Jie Ying , Huanjun Kong , Songyang Zhang , Nanqing Dong

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

Reinforcement learning (RL) has been widely used in training large language models (LLMs) for preventing unexpected outputs, eg reducing harmfulness and errors. However, existing RL methods mostly adopt the instance-level reward, which is…

Computation and Language · Computer Science 2024-06-18 Zhipeng Chen , Kun Zhou , Wayne Xin Zhao , Junchen Wan , Fuzheng Zhang , Di Zhang , Ji-Rong Wen
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