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Reinforcement learning (RL) can elicit strong reasoning in large language models (LLMs), yet most open efforts focus on math and code. We propose Reasoning Curriculum, a simple two-stage curriculum that first elicits reasoning skills in…

Artificial Intelligence · Computer Science 2025-10-31 Bo Pang , Deqian Kong , Silvio Savarese , Caiming Xiong , Yingbo Zhou

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

To reduce the need for human annotations, large language models (LLMs) have been proposed as judges of the quality of other candidate models. The performance of LLM judges is typically evaluated by measuring the correlation with human…

Computation and Language · Computer Science 2025-05-14 Andreas Stephan , Dawei Zhu , Matthias Aßenmacher , Xiaoyu Shen , Benjamin Roth

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

As language model (LM) outputs get more and more natural, it is becoming more difficult than ever to evaluate their quality. Simultaneously, increasing LMs' "thinking" time through scaling test-time compute has proven an effective technique…

Effective training of language models (LMs) for mathematical reasoning tasks demands high-quality supervised fine-tuning data. Besides obtaining annotations from human experts, a common alternative is sampling from larger and more powerful…

Computation and Language · Computer Science 2024-07-26 Tianduo Wang , Shichen Li , Wei Lu

Recently, foundation models such as OpenAI's O1 and O3, along with DeepSeek's R1, have demonstrated strong reasoning capacities and problem-solving skills acquired through large-scale reinforcement learning (RL), with wide applications in…

Machine Learning · Computer Science 2025-04-29 Tianbing Xu

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…

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria

Recent advancements in large language models have led to significant improvements across various tasks, including mathematical reasoning, which is used to assess models' intelligence in logical reasoning and problem-solving. Models are…

Artificial Intelligence · Computer Science 2026-04-27 Erez Yosef , Oron Anschel , Shunit Haviv Hakimi , Asaf Gendler , Adam Botach , Nimrod Berman , Igor Kviatkovsky

Logical reasoning is a critical benchmark for evaluating the capabilities of large language models (LLMs), as it reflects their ability to derive valid conclusions from given premises. While the combination of test-time scaling with…

Computation and Language · Computer Science 2025-08-28 Ramya Keerthy Thatikonda , Wray Buntine , Ehsan Shareghi

Code has become a standard component of modern foundation language model (LM) training, yet its role beyond programming remains unclear. We revisit the claim that code improves reasoning through controlled pretraining experiments on a…

Artificial Intelligence · Computer Science 2026-05-20 Yuze Zhao , Junpeng Fang , Lu Yu , Zhenya Huang , Kai Zhang , Qing Cui , Qi Liu , Jun Zhou , Enhong Chen

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

While the reasoning abilities of large language models (LLMs) continue to advance, it remains unclear how such ability varies across languages in multilingual LLMs and whether different languages produce reasoning paths that complement each…

Computation and Language · Computer Science 2025-09-22 Sara Rajaee , Rochelle Choenni , Ekaterina Shutova , Christof Monz

A common approach to solving physical reasoning tasks is to train a value learner on example tasks. A limitation of such an approach is that it requires learning about object dynamics solely from reward values assigned to the final state of…

Artificial Intelligence · Computer Science 2021-09-03 Eltayeb Ahmed , Anton Bakhtin , Laurens van der Maaten , Rohit Girdhar

Reinforcement learning (RL) has emerged as a powerful method for improving the reasoning abilities of large language models (LLMs). Outcome-based RL, which rewards policies solely for the correctness of the final answer, yields substantial…

Machine Learning · Computer Science 2025-09-09 Yuda Song , Julia Kempe , Remi Munos

Reasoning abilities, especially those for solving complex math problems, are crucial components of general intelligence. Recent advances by proprietary companies, such as o-series models of OpenAI, have made remarkable progress on reasoning…

Recent language models achieve impressive results in tasks involving complex multistep reasoning, but scaling these capabilities further traditionally requires expensive collection of more annotated data. In this work, we explore the…

Computation and Language · Computer Science 2024-10-25 Marek Kadlčík , Michal Štefánik

While recent advances have boosted LM proficiency in linguistic benchmarks, LMs consistently struggle to reason correctly on complex tasks like mathematics. We turn to Reinforcement Learning from Human Feedback (RLHF) as a method with which…

Computation and Language · Computer Science 2023-11-13 Sarah Pan , Vladislav Lialin , Sherin Muckatira , Anna Rumshisky
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