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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…

Reasoning with LLMs increasingly unfolds inside a broader verification loop. Internally, systems use cheap checks, such as self-consistency or proxy rewards, which we call weak verification. Externally, users inspect outputs and steer the…

Machine Learning · Computer Science 2026-02-20 Shayan Kiyani , Sima Noorani , George Pappas , Hamed Hassani

Explainable machine learning and artificial intelligence models have been used to justify a model's decision-making process. This added transparency aims to help improve user performance and understanding of the underlying model. However,…

Human-Computer Interaction · Computer Science 2020-05-06 Mahsan Nourani , Chiradeep Roy , Tahrima Rahman , Eric D. Ragan , Nicholas Ruozzi , Vibhav Gogate

Effectiveness and interpretability are two essential properties for trustworthy AI systems. Most recent studies in visual reasoning are dedicated to improving the accuracy of predicted answers, and less attention is paid to explaining the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Shi Chen , Qi Zhao

The reasoning capabilities of large language models (LLMs) have been significantly improved through reinforcement learning (RL). Nevertheless, LLMs still struggle to consistently verify their own reasoning traces. This raises the research…

Machine Learning · Computer Science 2025-11-20 Xiaoxuan Wang , Bo Liu , Song Jiang , Jingzhou Liu , Jingyuan Qi , Xia Chen , Baosheng He

Inspired by the success of reinforcement learning (RL) in Large Language Model (LLM) training for domains like math and code, recent works have begun exploring how to train LLMs to use search engines more effectively as tools for…

Computation and Language · Computer Science 2026-02-05 Zhichao Xu , Zongyu Wu , Yun Zhou , Aosong Feng , Kang Zhou , Sangmin Woo , Kiran Ramnath , Yijun Tian , Xuan Qi , Weikang Qiu , Lin Lee Cheong , Haibo Ding

Deploying small language models (7-9B parameters) as autonomous agents requires trust in their reasoning, not just their outputs. We reveal a critical reliability crisis: 50-69\% of correct answers from these models contain fundamentally…

Machine Learning · Computer Science 2026-01-05 Laksh Advani

Building on VeriX (Verified eXplainability, arXiv:2212.01051), a system for producing optimal verified explanations for machine learning models, we present VeriX+, which significantly improves both the size and the generation time of formal…

Machine Learning · Computer Science 2025-11-18 Min Wu , Xiaofu Li , Haoze Wu , Clark Barrett

Recent breakthroughs in large language models (LLMs) have led to notable successes in complex reasoning tasks, such as mathematical problem solving. A common strategy for improving performance is parallel thinking, in which multiple…

Machine Learning · Computer Science 2026-03-03 Zhan Zhuang , Xiequn Wang , Zebin Chen , Feiyang Ye , Ying Wei , Kede Ma , Yu Zhang

Recent advances in Vision Language Models (VLMs) have driven significant progress in visual reasoning. However, open-source VLMs still lag behind proprietary systems, largely due to the lack of high-quality reasoning data. Existing datasets…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Honglin Lin , Zheng Liu , Yun Zhu , Chonghan Qin , Juekai Lin , Xiaoran Shang , Conghui He , Wentao Zhang , Lijun Wu

Vision-language models (VLMs) show promise for autonomous driving but often lack transparent reasoning capabilities that are critical for safety. We investigate whether explicitly modeling reasoning during fine-tuning enhances VLM…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Amirhosein Chahe , Lifeng Zhou

The black-box nature of large language models (LLMs) necessitates the development of eXplainable AI (XAI) techniques for transparency and trustworthiness. However, evaluating these techniques remains a challenge. This study presents a…

Computation and Language · Computer Science 2025-03-14 Melkamu Abay Mersha , Mesay Gemeda Yigezu , Jugal Kalita

DeepSeek-R1, known for its low training cost and exceptional reasoning capabilities, has achieved state-of-the-art performance on various benchmarks. However, detailed evaluations for DeepSeek Series models from the perspective of…

Reinforcement learning with verifiable rewards (RLVR) has emerged as a promising approach for training reasoning language models (RLMs) by leveraging supervision from verifiers. Although verifier implementation is easier than solution…

Artificial Intelligence · Computer Science 2026-02-24 Andre He , Nathaniel Weir , Kaj Bostrom , Allen Nie , Darion Cassel , Sam Bayless , Huzefa Rangwala

Recent neural theorem provers use reinforcement learning with verifiable rewards (RLVR), where proof assistants provide binary correctness signals. While verifiable rewards are cheap and scalable without reward hacking issues, they suffer…

Artificial Intelligence · Computer Science 2026-05-12 Zeynel A. Uluşan , Burak S. Akbudak , Can S. Erer , Gözde Gül Şahin

Reasoning in Large Language Models (LLMs) has recently shown strong potential in enhancing generative recommendation through deep understanding of complex user preference. Existing approaches follow a {reason-then-recommend} paradigm, where…

Information Retrieval · Computer Science 2026-03-10 Xinyu Lin , Hanqing Zeng , Hanchao Yu , Yinglong Xia , Jiang Zhang , Aashu Singh , Fei Liu , Wenjie Wang , Fuli Feng , Tat-Seng Chua , Qifan Wang

Reinforcement learning with verifiable rewards (RLVR) has shown promise in enhancing the reasoning performance of large language models (LLMs) by increasing test-time compute. However, even after extensive RLVR training, such models still…

Artificial Intelligence · Computer Science 2026-03-10 Pinzheng Wang , Shuli Xu , Juntao Li , Yu Luo , Dong Li , Jianye Hao , Min Zhang

Reinforcement Learning with Verifiable Rewards (RLVR) effectively trains reasoning models that rely on abundant perfect labels, but its vulnerability to unavoidable noisy labels due to expert scarcity remains critically underexplored. In…

Machine Learning · Computer Science 2026-04-07 Shenzhi Yang , Guangcheng Zhu , Bowen Song , Sharon Li , Haobo Wang , Xing Zheng , Yingfan Ma , Zhongqi Chen , Weiqiang Wang , Gang Chen

Reinforcement learning with verifiable rewards (RLVR) is a promising approach for improving the complex reasoning abilities of large language models (LLMs). However, current RLVR methods face two significant challenges: the near-miss reward…

Artificial Intelligence · Computer Science 2025-07-04 Kaiyi Zhang , Ang Lv , Jinpeng Li , Yongbo Wang , Feng Wang , Haoyuan Hu , Rui Yan

The recent paradigm shift towards training large language models (LLMs) using DeepSeek-R1-Zero-style reinforcement learning (RL) on verifiable rewards has led to impressive advancements in code and mathematical reasoning. However, this…

Machine Learning · Computer Science 2025-05-28 Xiangxin Zhou , Zichen Liu , Anya Sims , Haonan Wang , Tianyu Pang , Chongxuan Li , Liang Wang , Min Lin , Chao Du
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