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Reinforcement Learning with Verifiable Rewards (RLVR) has demonstrated promising gains in enhancing the reasoning capabilities of large language models. However, its dependence on domain-specific verifiers significantly restricts its…

Computation and Language · Computer Science 2026-01-22 Chongxuan Huang , Lei Lin , Xiaodong Shi , Wenping Hu , Ruiming Tang

Large Language Models (LLMs) have demonstrated impressive capabilities in natural language tasks, but their safety and morality remain contentious due to their training on internet text corpora. To address these concerns, alignment…

Computation and Language · Computer Science 2024-08-06 Mohammad Bahrami Karkevandi , Nishant Vishwamitra , Peyman Najafirad

Reinforcement Learning with Verifiable Rewards (RLVR) is an emerging paradigm that significantly boosts a Large Language Model's (LLM's) reasoning abilities on complex logical tasks, such as mathematics and programming. However, we…

Cryptography and Security · Computer Science 2026-04-14 Weiyang Guo , Zesheng Shi , Zeen Zhu , Yuan Zhou , Min Zhang , Jing Li

Large-scale verifiable prompts underpin the success of Reinforcement Learning with Verifiable Rewards (RLVR), but they contain many uninformative examples and are costly to expand further. Recent studies focus on better exploiting limited…

Computation and Language · Computer Science 2026-04-23 Xin Xu , Clive Bai , Kai Yang , Tianhao Chen , Yangkun Chen , Weijie Liu , Hao Chen , Yang Wang , Saiyong Yang , Can Yang

Reinforcement Learning with Verifiable Rewards (RLVR) is widely used to improve reasoning in multiple domains, yet outcome-only scalar rewards are often sparse and uninformative, especially on failed samples, where they merely indicate…

Artificial Intelligence · Computer Science 2026-02-02 Xuancheng Li , Haitao Li , Yujia Zhou , YiqunLiu , Qingyao Ai

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

Reinforcement learning with verifiable rewards (RLVR) has been shown to enhance the reasoning capabilities of large language models (LLMs), enabling the development of large reasoning models (LRMs). However, LRMs such as DeepSeek-R1 and…

Artificial Intelligence · Computer Science 2025-11-13 Yuhao Wang , Xiaopeng Li , Cheng Gong , Ziru Liu , Suiyun Zhang , Rui Liu , Xiangyu Zhao

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

Generating grounded and trustworthy responses remains a key challenge for large language models (LLMs). While retrieval-augmented generation (RAG) with citation-based grounding holds promise, instruction-tuned models frequently fail even in…

Computation and Language · Computer Science 2025-06-19 Shang Hong Sim , Tej Deep Pala , Vernon Toh , Hai Leong Chieu , Amir Zadeh , Chuan Li , Navonil Majumder , Soujanya Poria

Reinforcement learning with verifiable rewards (RLVR) has improved the reasoning ability of large language models, yet training remains costly because many rollouts contribute little to optimization, considering the amount of computation…

Machine Learning · Computer Science 2026-02-20 Yan Sun , Jia Guo , Stanley Kok , Zihao Wang , Zujie Wen , Zhiqiang Zhang

Reinforcement Learning from Verifiable Rewards (RLVR) improves the reasoning abilities of Large Language Models (LLMs) but it struggles with unstable exploration. We propose FR3E (First Return, Entropy-Eliciting Explore), a structured…

Artificial Intelligence · Computer Science 2025-07-10 Tianyu Zheng , Tianshun Xing , Qingshui Gu , Taoran Liang , Xingwei Qu , Xin Zhou , Yizhi Li , Zhoufutu Wen , Chenghua Lin , Wenhao Huang , Qian Liu , Ge Zhang , Zejun Ma

Reinforcement learning (RL) has increasingly become a pivotal technique in the post-training of large language models (LLMs). The effective exploration of the output space is essential for the success of RL. We observe that for complex…

Machine Learning · Computer Science 2025-07-08 Shihan Dou , Muling Wu , Jingwen Xu , Rui Zheng , Tao Gui , Qi Zhang , Xuanjing Huang

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 from Human Feedback (RLHF) aligns Large Language Models (LLMs) with human preferences, yet the underlying reward signals they internalize remain hidden, posing a critical challenge for interpretability and safety.…

Machine Learning · Computer Science 2026-01-21 Nyal Patel , Matthieu Bou , Arjun Jagota , Satyapriya Krishna , Sonali Parbhoo

Reinforcement Learning with Verifiable Rewards (RLVR) for large language models (LLMs) has achieved remarkable progress in enhancing LLMs' reasoning capabilities on tasks with clear correctness criteria, such as mathematical reasoning…

Artificial Intelligence · Computer Science 2025-09-30 Guanxu Chen , Yafu Li , Yuxian Jiang , Chen Qian , Qihan Ren , Jingyi Yang , Yu Cheng , Dongrui Liu , Jing Shao

Reinforcement learning with verifiable rewards (RLVR) has emerged as a promising paradigm for post-training large language models (LLMs) on complex reasoning tasks. Yet, the conditions under which RLVR yields robust generalization remain…

Machine Learning · Computer Science 2026-03-05 Brian Lu , Hongyu Zhao , Shuo Sun , Hao Peng , Rui Ding , Hongyuan Mei

Reinforcement learning (RL) has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs). While RL has demonstrated substantial performance gains, it still faces key challenges, including low…

Machine Learning · Computer Science 2025-11-18 Yihang Yao , Guangtao Zeng , Raina Wu , Yang Zhang , Ding Zhao , Zhang-Wei Hong , Chuang Gan

Can reinforcement learning with hard, verifiable rewards teach a compact language model to reason about physics, or does it primarily learn to pattern-match toward correct answers? We study this question by training a 1.5B-parameter…

Artificial Intelligence · Computer Science 2026-03-05 Tarjei Paule Hage , Markus J. Buehler

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

Large language models (LLMs) trained for step-by-step reasoning often become excessively verbose, raising inference cost. Standard Reinforcement Learning with Verifiable Rewards (RLVR) pipelines filter out ``easy'' problems for training…