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Reinforcement Learning from Verifiable Rewards (RLVR) significantly enhances large language models (LLMs) reasoning but severely suffers from calibration degeneration, where models become excessively over-confident in incorrect answers.…

Machine Learning · Computer Science 2026-05-28 Zhengzhao Ma , Xueru Wen , Boxi Cao , Yaojie Lu , Hongyu Lin , Jinglin Yang , Min He , Xianpei Han , Le Sun

Reinforcement learning with verifiable rewards (RLVR) has substantially enhanced the reasoning capabilities of multimodal large language models (MLLMs). However, existing RLVR approaches typically rely on outcome-driven optimization that…

Artificial Intelligence · Computer Science 2026-04-10 Ziqi Miao , Haonan Jia , Lijun Li , Chen Qian , Yuan Xiong , Wenting Yan , Jing Shao

Reinforcement Learning with Verifiable Rewards (RLVR) traditionally relies on a sparse, outcome-based signal. Recent work shows that providing a fine-grained, model-intrinsic signal (rewarding the confidence growth in the ground-truth…

Computation and Language · Computer Science 2026-05-14 Hee Suk Yoon , Eunseop Yoon , Ji Woo Hong , SooHwan Eom , Gwanhyeong Koo , Mark Hasegawa-Johnson , Qi Dai , Chong Luo , Chang D. Yoo

Large language models are increasingly used for complex reasoning tasks where high-quality offline data such as expert-annotated solutions and distilled reasoning traces are often available. However, in environments with sparse rewards,…

Artificial Intelligence · Computer Science 2025-08-11 Yihao Liu , Shuocheng Li , Lang Cao , Yuhang Xie , Mengyu Zhou , Haoyu Dong , Xiaojun Ma , Shi Han , Dongmei Zhang

The ability of reinforcement learning algorithms to learn effective policies is determined by the rewards available during training. However, for practical problems, obtaining large quantities of reward labels is often infeasible due to…

Machine Learning · Computer Science 2025-10-02 Shreyas Chaudhari , Renhao Zhang , Philip S. Thomas , Bruno Castro da Silva

Reinforcement Learning from Verifiable Rewards (RLVR) has emerged as a promising approach to improve correctness in LLMs, however, in many scientific problems, the objective is not necessarily to produce the correct answer, but instead to…

Machine Learning · Computer Science 2025-12-23 Andy Xu , Rohan Desai , Larry Wang , Gabriel Hope , Ethan Ritz

As reinforcement Learning with Verifiable Rewards (RLVR) has become the dominant paradigm for scaling reasoning capabilities in LLMs, a new failure mode emerges: LLMs gaming verifiers. We study this phenomenon on inductive reasoning tasks,…

Cyber threat intelligence (CTI) analysts routinely convert noisy, unstructured security artifacts into standardized, automation-ready representations. Although large language models (LLMs) show promise for this task, existing approaches…

Machine Learning · Computer Science 2026-05-11 Md Tanvirul Alam , Aritran Piplai , Ionut Cardei , Nidhi Rastogi , Peter J Worth

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a prevailing paradigm for enhancing reasoning in Multimodal Large Language Models (MLLMs). However, relying solely on outcome supervision risks reward hacking, where…

Computation and Language · Computer Science 2026-03-04 Yukun Chen , Jiaming Li , Longze Chen , Ze Gong , Jingpeng Li , Zhen Qin , Hengyu Chang , Ancheng Xu , Zhihao Yang , Hamid Alinejad-Rokny , Qiang Qu , Bo Zheng , Min Yang

Reinforcement Learning with Verifiable Rewards (RLVR) has significantly improved LLM reasoning, but its sparse, outcome-based reward provides no guidance for intermediate steps, slowing exploration. We propose Progressively Ascending…

Artificial Intelligence · Computer Science 2025-10-28 Eunseop Yoon , Hee Suk Yoon , Jaehyun Jang , SooHwan Eom , Qi Dai , Chong Luo , Mark A. Hasegawa-Johnson , Chang D. Yoo

Policy-based reinforcement learning currently plays an important role in improving LLMs on mathematical reasoning tasks. However, existing rollout-based reinforcement learning methods (GRPO, DAPO, GSPO, etc.) fail to explicitly consider…

Machine Learning · Computer Science 2025-09-25 Guochao Jiang , Wenfeng Feng , Guofeng Quan , Chuzhan Hao , Yuewei Zhang , Guohua Liu , Hao Wang

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective paradigm for improving the reasoning capabilities of large language models. However, RLVR training is often hindered by sparse binary rewards and weak credit…

Computation and Language · Computer Science 2026-05-15 Mengjie Ren , Jie Lou , Boxi Cao , Xueru Wen , Hongyu Lin , Xianpei Han , Le Sun , Xing Yu , Yaojie Lu

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…

While reinforcement learning with verifiable rewards (RLVR) has advanced LLM reasoning in structured domains like mathematics and programming, its application to general-domain reasoning tasks remains challenging due to the absence of…

Computation and Language · Computer Science 2026-01-29 Wenlin Zhong , Chengyuan Liu , Yiquan Wu , Bovin Tan , Changlong Sun , Yi Wang , Xiaozhong Liu , Kun Kuang

Large language models (LLMs) show strong capabilities in general reasoning but typically lack reliability in scientific domains like quantum mechanics, which demand strict adherence to physical constraints. This limitation arises from the…

Artificial Intelligence · Computer Science 2026-04-21 Songxin Qu , Tai-Ping Sun , Yun-Jie Wang , Huan-Yu Liu , Cheng Xue , Xiao-Fan Xu , Han Fang , Yang Yang , Yu-Chun Wu , Guo-Ping Guo , Zhao-Yun Chen

Training language models to solve complex mathematical problems benefits from curriculum learning progressively training on simpler subproblems. However, existing decomposition methods are often heuristic, offering no guarantees that…

Artificial Intelligence · Computer Science 2026-02-10 Kaleem Ullah Qasim , Jiashu Zhang , Hao Li , Muhammad Kafeel Shaheen

Risk-sensitive reinforcement learning (RL) aims to optimize policies that balance the expected reward and risk. In this paper, we present a novel risk-sensitive RL framework that employs an Iterated Conditional Value-at-Risk (CVaR)…

Machine Learning · Computer Science 2023-12-05 Yu Chen , Yihan Du , Pihe Hu , Siwei Wang , Desheng Wu , Longbo Huang

A promising approach for improving reasoning in large language models is to use process reward models (PRMs). PRMs provide feedback at each step of a multi-step reasoning trace, potentially improving credit assignment over outcome reward…

Although LLMs exhibit strong reasoning capabilities, existing training methods largely depend on outcome-based feedback, which can produce correct answers with flawed reasoning. Prior work introduces supervision on intermediate steps but…

Computation and Language · Computer Science 2026-01-30 Jundong Xu , Hao Fei , Huichi Zhou , Xin Quan , Qijun Huang , Shengqiong Wu , William Yang Wang , Mong-Li Lee , Wynne Hsu

Recently, reinforcement learning with verifiable rewards (RLVR) has been widely used for enhancing the reasoning abilities of large language models (LLMs). A core challenge in RLVR involves managing the exchange between entropy and…

Computation and Language · Computer Science 2025-08-05 Jia Deng , Jie Chen , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen
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