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Counterfactual reasoning, a hallmark of intelligence, consists of three steps: inferring latent variables from observations (abduction), constructing alternatives (interventions), and predicting their outcomes (prediction). This skill is…

Machine Learning · Computer Science 2025-10-03 Aniket Vashishtha , Qirun Dai , Hongyuan Mei , Amit Sharma , Chenhao Tan , Hao Peng

Reinforcement Learning with Verifiable Rewards (RLVR) elicits long chain-of-thought reasoning in large language models (LLMs), but outcome-based rewards lead to coarse-grained advantage estimation. While existing approaches improve RLVR via…

Computation and Language · Computer Science 2026-01-08 Fei Wu , Zhenrong Zhang , Qikai Chang , Jianshu Zhang , Quan Liu , Jun Du

Retrieval-Augmented Generation (RAG) integrates external knowledge with Large Language Models (LLMs) to enhance factual correctness and mitigate hallucination. However, dense retrievers often become the bottleneck of RAG systems due to…

Computation and Language · Computer Science 2025-10-27 Yuan Li , Qi Luo , Xiaonan Li , Bufan Li , Qinyuan Cheng , Bo Wang , Yining Zheng , Yuxin Wang , Zhangyue Yin , Xipeng Qiu

With the rise of LLMs, there is an increasing need for intelligent recommendation assistants that can handle complex queries and provide personalized, reasoning-driven recommendations. LLM-based recommenders show potential but face…

Information Retrieval · Computer Science 2026-04-10 Jiani Huang , Shijie Wang , Liangbo Ning , Wenqi Fan , Qing Li

General reasoning represents a long-standing and formidable challenge in artificial intelligence. Recent breakthroughs, exemplified by large language models (LLMs) and chain-of-thought prompting, have achieved considerable success on…

Computation and Language · Computer Science 2026-01-06 DeepSeek-AI , Daya Guo , Dejian Yang , Haowei Zhang , Junxiao Song , Peiyi Wang , Qihao Zhu , Runxin Xu , Ruoyu Zhang , Shirong Ma , Xiao Bi , Xiaokang Zhang , Xingkai Yu , Yu Wu , Z. F. Wu , Zhibin Gou , Zhihong Shao , Zhuoshu Li , Ziyi Gao , Aixin Liu , Bing Xue , Bingxuan Wang , Bochao Wu , Bei Feng , Chengda Lu , Chenggang Zhao , Chengqi Deng , Chenyu Zhang , Chong Ruan , Damai Dai , Deli Chen , Dongjie Ji , Erhang Li , Fangyun Lin , Fucong Dai , Fuli Luo , Guangbo Hao , Guanting Chen , Guowei Li , H. Zhang , Han Bao , Hanwei Xu , Haocheng Wang , Honghui Ding , Huajian Xin , Huazuo Gao , Hui Qu , Hui Li , Jianzhong Guo , Jiashi Li , Jiawei Wang , Jingchang Chen , Jingyang Yuan , Junjie Qiu , Junlong Li , J. L. Cai , Jiaqi Ni , Jian Liang , Jin Chen , Kai Dong , Kai Hu , Kaige Gao , Kang Guan , Kexin Huang , Kuai Yu , Lean Wang , Lecong Zhang , Liang Zhao , Litong Wang , Liyue Zhang , Lei Xu , Leyi Xia , Mingchuan Zhang , Minghua Zhang , Minghui Tang , Meng Li , Miaojun Wang , Mingming Li , Ning Tian , Panpan Huang , Peng Zhang , Qiancheng Wang , Qinyu Chen , Qiushi Du , Ruiqi Ge , Ruisong Zhang , Ruizhe Pan , Runji Wang , R. J. Chen , R. L. Jin , Ruyi Chen , Shanghao Lu , Shangyan Zhou , Shanhuang Chen , Shengfeng Ye , Shiyu Wang , Shuiping Yu , Shunfeng Zhou , Shuting Pan , S. S. Li , Shuang Zhou , Shaoqing Wu , Shengfeng Ye , Tao Yun , Tian Pei , Tianyu Sun , T. Wang , Wangding Zeng , Wanjia Zhao , Wen Liu , Wenfeng Liang , Wenjun Gao , Wenqin Yu , Wentao Zhang , W. L. Xiao , Wei An , Xiaodong Liu , Xiaohan Wang , Xiaokang Chen , Xiaotao Nie , Xin Cheng , Xin Liu , Xin Xie , Xingchao Liu , Xinyu Yang , Xinyuan Li , Xuecheng Su , Xuheng Lin , X. Q. Li , Xiangyue Jin , Xiaojin Shen , Xiaosha Chen , Xiaowen Sun , Xiaoxiang Wang , Xinnan Song , Xinyi Zhou , Xianzu Wang , Xinxia Shan , Y. K. Li , Y. Q. Wang , Y. X. Wei , Yang Zhang , Yanhong Xu , Yao Li , Yao Zhao , Yaofeng Sun , Yaohui Wang , Yi Yu , Yichao Zhang , Yifan Shi , Yiliang Xiong , Ying He , Yishi Piao , Yisong Wang , Yixuan Tan , Yiyang Ma , Yiyuan Liu , Yongqiang Guo , Yuan Ou , Yuduan Wang , Yue Gong , Yuheng Zou , Yujia He , Yunfan Xiong , Yuxiang Luo , Yuxiang You , Yuxuan Liu , Yuyang Zhou , Y. X. Zhu , Yanhong Xu , Yanping Huang , Yaohui Li , Yi Zheng , Yuchen Zhu , Yunxian Ma , Ying Tang , Yukun Zha , Yuting Yan , Z. Z. Ren , Zehui Ren , Zhangli Sha , Zhe Fu , Zhean Xu , Zhenda Xie , Zhengyan Zhang , Zhewen Hao , Zhicheng Ma , Zhigang Yan , Zhiyu Wu , Zihui Gu , Zijia Zhu , Zijun Liu , Zilin Li , Ziwei Xie , Ziyang Song , Zizheng Pan , Zhen Huang , Zhipeng Xu , Zhongyu Zhang , Zhen Zhang

Mathematical reasoning in large language models has improved substantially with reinforcement learning using verifiable rewards, where final answers can be checked automatically and converted into reliable training signals. Most such…

Machine Learning · Computer Science 2026-04-06 Mohammad Rezaei , Jens Lehmann , Sahar Vahdati

In this paper, we observe that current models are susceptible to reward hacking, leading to a substantial overestimation of a model's reasoning ability. This is evidenced by a high incidence of false positives-solutions that reach the…

Computation and Language · Computer Science 2026-04-20 Youliang Yuan , Qiuyang Mang , Jingbang Chen , Hong Wan , Xiaoyuan Liu , Junjielong Xu , Jen-tse Huang , Wenxuan Wang , Wenxiang Jiao , Pinjia He

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

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

An impediment to using Large Language Models (LLMs) for reasoning output verification is that LLMs struggle to reliably identify errors in thinking traces, particularly in long outputs, domains requiring expert knowledge, and problems…

Computation and Language · Computer Science 2026-02-09 Kate Sanders , Nathaniel Weir , Sapana Chaudhary , Kaj Bostrom , Huzefa Rangwala

Training reasoning language models (LMs) with reinforcement learning (RL) for one-hot correctness inherently relies on the LM being able to explore and solve its task with some chance at initialization. Furthermore, a key use case of…

Machine Learning · Computer Science 2025-10-30 Edoardo Cetin , Tianyu Zhao , Yujin Tang

Prompting language models to provide step-by-step answers (e.g., "Chain-of-Thought") is the prominent approach for complex reasoning tasks, where more accurate reasoning chains typically improve downstream task performance. Recent…

Computation and Language · Computer Science 2024-05-22 Alon Jacovi , Yonatan Bitton , Bernd Bohnet , Jonathan Herzig , Or Honovich , Michael Tseng , Michael Collins , Roee Aharoni , Mor Geva

Chain-of-thought explanations are widely used to inspect the decision process of large language models (LLMs) and to evaluate the trustworthiness of model outputs, making them important for effective collaboration between LLMs and humans.…

Computation and Language · Computer Science 2025-07-16 Pedro Ferreira , Wilker Aziz , Ivan Titov

As Reinforcement Learning with Verifiable Rewards (RLVR) substantially improves the reasoning abilities of large language models (LLMs), a new bottleneck emerges: more training problems become saturated, that is, the LLM answers the…

Machine Learning · Computer Science 2026-05-12 Minwu Kim , Safal Shrestha , Anubhav Shrestha , Keith Ross

Reasoning models produce long traces of intermediate decisions and tool calls, making test-time verification important for ensuring correctness. Existing approaches either verify only the final answer, which misses early errors, or rely on…

As reasoning LLMs increasingly trade tokens for accuracy through deliberation, search, and self-correction, a single accuracy score can no longer tell whether those tokens buy useful reasoning, recovery from hard instances, or unnecessary…

Computation and Language · Computer Science 2026-05-19 Daniel Kaiser , Arnoldo Frigessi , Ali Ramezani-Kebrya , Benjamin Ricaud

Process Reward Models (PRMs) have recently emerged as a powerful framework for supervising intermediate reasoning steps in large language models (LLMs). Previous PRMs are primarily trained on model final output responses and struggle to…

Computation and Language · Computer Science 2025-09-26 Jiaru Zou , Ling Yang , Jingwen Gu , Jiahao Qiu , Ke Shen , Jingrui He , Mengdi Wang

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective approach for improving the reasoning abilities of large language models (LLMs). The Group Relative Policy Optimization (GRPO) family has demonstrated strong…

Computation and Language · Computer Science 2025-11-10 Chenxi Liu , Junjie Liang , Yuqi Jia , Bochuan Cao , Yang Bai , Heng Huang , Xun Chen

While Large Language Models (LLMs) excel at code generation by learning from vast code corpora, a fundamental semantic gap remains between their training on textual patterns and the goal of functional correctness, which is governed by…

Software Engineering · Computer Science 2026-04-23 Xue Jiang , Yihong Dong , Mengyang Liu , Hongyi Deng , Tian Wang , Yongding Tao , Rongyu Cao , Binhua Li , Zhi Jin , Wenpin Jiao , Fei Huang , Yongbin Li , Ge Li

Outcome-rewarded Large Language Models (LLMs) have demonstrated remarkable success in mathematical problem-solving. However, this success often masks a critical issue: models frequently achieve correct answers through fundamentally unsound…

Computation and Language · Computer Science 2025-06-25 Jiaxing Guo , Wenjie Yang , Shengzhong Zhang , Tongshan Xu , Lun Du , Da Zheng , Zengfeng Huang
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