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Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a powerful paradigm for post-training large reasoning models (LRMs) using policy-gradient methods such as GRPO. To stabilize training, these methods typically center…

Machine Learning · Computer Science 2026-02-19 Guanning Zeng , Zhaoyi Zhou , Daman Arora , Andrea Zanette

Large Language Models (LLMs) have achieved remarkable advancements in reasoning capabilities empowered by Reinforcement Learning with Verifiable Rewards (RLVR). Nonetheless, RLVR intrinsically relies on ground-truth labels for reward…

Machine Learning · Computer Science 2026-05-26 Li Wang , Xiaodong Lu , Xiaohan Wang , Yikun Ban , Jiajun Chai , Wei Lin , Tianhao Peng , Guojun Yin

Improving data utilization efficiency is critical for scaling reinforcement learning (RL) for long-horizon tasks where generating trajectories is expensive. However, the dominant RL methods for LLMs are largely on-policy: they update each…

We show that reinforcement learning with verifiable rewards (RLVR) can elicit strong mathematical reasoning in certain language models even with spurious rewards that have little, no, or even negative correlation with the correct answer.…

Reinforcement learning (RL) has become a predominant technique to align language models (LMs) with human preferences or promote outputs which are deemed to be desirable by a given reward function. Standard RL approaches optimize average…

Machine Learning · Computer Science 2025-10-27 Stephen Zhao , Aidan Li , Rob Brekelmans , Roger Grosse

Existing large language models (LLMs) face challenges of following complex instructions, especially when multiple constraints are present and organized in paralleling, chaining, and branching structures. One intuitive solution, namely…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Yulei Qin , Gang Li , Zongyi Li , Zihan Xu , Yuchen Shi , Zhekai Lin , Xiao Cui , Ke Li , Xing Sun

Large Language Models (LLMs) have shown strong capabilities through two complementary paradigms: Retrieval-Augmented Generation (RAG) for knowledge grounding and Reinforcement Learning from Verifiable Rewards (RLVR) for complex reasoning.…

Computation and Language · Computer Science 2026-04-27 Weitao Li , Boran Xiang , Xiaolong Wang , Zhinan Gou , Weizhi Ma , Yang Liu

Small Language Models (SLMs) are a cost-effective alternative to Large Language Models (LLMs), but often struggle with complex reasoning due to their limited capacity and a tendency to produce mistakes or inconsistent answers during…

Computation and Language · Computer Science 2025-08-19 Yuanfeng Xu , Zehui Dai , Jian Liang , Jiapeng Guan , Guangrun Wang , Liang Lin , Xiaohui Lv

Recent advances highlight Reinforcement Learning with Verifiable Rewards (RLVR) as a promising method for enhancing LLMs' capabilities. However, it remains unclear whether the current practice of RLVR truly expands a model's reasoning…

Machine Learning · Computer Science 2026-02-05 Fang Wu , Weihao Xuan , Ximing Lu , Mingjie Liu , Yi Dong , Zaid Harchaoui , Yejin Choi

Reinforcement Learning from Verifiable Rewards (RLVR) has emerged as a powerful paradigm for enhancing the complex reasoning capabilities of Large Reasoning Models. However, standard outcome-based supervision suffers from a critical…

Artificial Intelligence · Computer Science 2026-03-02 Yanwei Ren , Haotian Zhang , Likang Xiao , Xikai Zhang , Jiaxing Huang , Jiayan Qiu , Baosheng Yu , Quan Chen , Liu Liu

Large Language Models (LLMs) often produce hallucinated or unverifiable content, undermining their reliability in factual domains. This work investigates Reinforcement Learning with Verifiable Rewards (RLVR) as a training paradigm that…

Reinforcement learning with verifiable rewards (RLVR) has demonstrated superior performance in enhancing the reasoning capability of large language models (LLMs). However, this accuracy-oriented learning paradigm often suffers from entropy…

Artificial Intelligence · Computer Science 2026-01-19 Hongye Cao , Zhixin Bai , Ziyue Peng , Boyan Wang , Tianpei Yang , Jing Huo , Yuyao Zhang , Yang Gao

Reinforcement Learning with Verifiable Reward (RLVR) is empirically shown to notably enhance the reasoning performance of large language models (LLMs), particularly in mathematics and programming. However, the mechanistic role of Sample…

Artificial Intelligence · Computer Science 2026-05-28 Yue Cheng , Jiajun Zhang , Xiaohui Gao , Weiwei Xing , Zheng Wang , Zhanxing Zhu

Reasoning-based image quality assessment (IQA) models trained through reinforcement learning (RL) exhibit exceptional generalization, yet the underlying mechanisms and critical factors driving this capability remain underexplored in current…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Shijie Zhao , Xuanyu Zhang , Weiqi Li , Junlin Li , Li Zhang , Tianfan Xue , Jian Zhang

Reinforcement learning (RL) has become a key technique for enhancing the reasoning abilities of large language models (LLMs), with policy-gradient algorithms dominating the post-training stage because of their efficiency and effectiveness.…

Artificial Intelligence · Computer Science 2025-08-08 Chang Tian , Matthew B. Blaschko , Mingzhe Xing , Xiuxing Li , Yinliang Yue , Marie-Francine Moens

The prevailing paradigm for training large reasoning models--combining Supervised Fine-Tuning (SFT) with Reinforcement Learning with Verifiable Rewards (RLVR)--is fundamentally constrained by its reliance on high-quality, human-annotated…

Machine Learning · Computer Science 2026-03-24 Yuanfu Wang , Zhixuan Liu , Xiangtian Li , Chaochao Lu , Chao Yang

Large language models excel at basic reasoning but struggle with tasks that require interaction with external tools. We present RLFactory, a plug-and-play reinforcement learning post-training framework for multi-round tool use. RLFactory…

Machine Learning · Computer Science 2025-09-10 Jiajun Chai , Guojun Yin , Zekun Xu , Chuhuai Yue , Yi Jia , Siyu Xia , Xiaohan Wang , Jiwen Jiang , Xiaoguang Li , Chengqi Dong , Hang He , Wei Lin

Reinforcement learning with verifiable outcome rewards (RLVR) has effectively scaled up chain-of-thought (CoT) reasoning in large language models (LLMs). Yet, its efficacy in training vision-language model (VLM) agents for goal-directed…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Tong Wei , Yijun Yang , Junliang Xing , Yuanchun Shi , Zongqing Lu , Deheng Ye

While large language models (LLMs) demonstrate strong reasoning capabilities utilizing reinforcement learning (RL) with verifiable reward, whether large vision-language models (VLMs) can directly inherit such capabilities through similar…

Artificial Intelligence · Computer Science 2025-05-27 Tianle Li , Jihai Zhang , Yongming Rao , Yu Cheng

Reinforcement learning post-training has substantially improved the reasoning accuracy of vision-language models, yet the resulting policies remain poorly calibrated. Terminal correctness rewards provide no gradient that penalizes confident…

Machine Learning · Computer Science 2026-05-19 Peng Cui , Boyao Yang , Jun Zhu