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Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

This paper presents a practical investigation into fine-tuning model parameters for mathematical reasoning tasks through experimenting with various configurations including randomness control, reasoning depth, and sampling strategies,…

Machine Learning · Computer Science 2025-09-10 Pranav Pawar , Dhwaj Jain , Varun Gupta , Kaustav Dedhia , Dashrath Kale , Sudhir Dhekane

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

Mathematical capabilities were previously believed to emerge in common language models only at a very large scale or require extensive math-related pre-training. This paper shows that the LLaMA-2 7B model with common pre-training already…

Computation and Language · Computer Science 2024-03-08 Chen Li , Weiqi Wang , Jingcheng Hu , Yixuan Wei , Nanning Zheng , Han Hu , Zheng Zhang , Houwen Peng

Large language models (LLMs) with Chain-of-thought (CoT) have recently emerged as a powerful technique for eliciting reasoning to improve various downstream tasks. As most research mainly focuses on English, with few explorations in a…

Computation and Language · Computer Science 2024-07-11 Huiyuan Lai , Malvina Nissim

Large language models excel on math benchmarks, but their math reasoning robustness to linguistic variation is underexplored. While recent work increasingly treats high-difficulty competitions like the IMO as the gold standard for…

Computation and Language · Computer Science 2025-10-09 Neeraja Kirtane , Yuvraj Khanna , Peter Relan

Reinforcement learning algorithms such as group-relative policy optimization (GRPO) have shown strong potential for improving the mathematical reasoning capabilities of large language models. While a growing body of work seeks to improve…

Machine Learning · Computer Science 2026-05-12 Wenquan Lu , Hai Huang , Enqi Liu , Randall Balestriero

Reinforcement learning (RL) with large language models shows promise in complex reasoning. However, its progress is hindered by the lack of large-scale training data that is sufficiently challenging, contamination-free and verifiable. To…

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

Large language models have made significant progress in various language tasks, yet they still struggle with complex mathematics. In this paper, we propose ToRA a series of Tool-integrated Reasoning Agents designed to solve challenging…

Computation and Language · Computer Science 2024-02-22 Zhibin Gou , Zhihong Shao , Yeyun Gong , Yelong Shen , Yujiu Yang , Minlie Huang , Nan Duan , Weizhu Chen

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

Large Language Models (LLMs) have shown remarkable success on a wide range of math and reasoning benchmarks. However, we observe that they often struggle when faced with unreasonable math problems. Instead of recognizing these issues,…

Computation and Language · Computer Science 2025-06-03 Jingyuan Ma , Damai Dai , Zihang Yuan , Rui li , Weilin Luo , Bin Wang , Qun Liu , Lei Sha , Zhifang Sui

We introduce DeepSeek-V3.2, a model that harmonizes high computational efficiency with superior reasoning and agent performance. The key technical breakthroughs of DeepSeek-V3.2 are as follows: (1) DeepSeek Sparse Attention (DSA): We…

Computation and Language · Computer Science 2025-12-03 DeepSeek-AI , Aixin Liu , Aoxue Mei , Bangcai Lin , Bing Xue , Bingxuan Wang , Bingzheng Xu , Bochao Wu , Bowei Zhang , Chaofan Lin , Chen Dong , Chengda Lu , Chenggang Zhao , Chengqi Deng , Chenhao Xu , Chong Ruan , Damai Dai , Daya Guo , Dejian Yang , Deli Chen , Erhang Li , Fangqi Zhou , Fangyun Lin , Fucong Dai , Guangbo Hao , Guanting Chen , Guowei Li , H. Zhang , Hanwei Xu , Hao Li , Haofen Liang , Haoran Wei , Haowei Zhang , Haowen Luo , Haozhe Ji , Honghui Ding , Hongxuan Tang , Huanqi Cao , Huazuo Gao , Hui Qu , Hui Zeng , Jialiang Huang , Jiashi Li , Jiaxin Xu , Jiewen Hu , Jingchang Chen , Jingting Xiang , Jingyang Yuan , Jingyuan Cheng , Jinhua Zhu , Jun Ran , Junguang Jiang , Junjie Qiu , Junlong Li , Junxiao Song , Kai Dong , Kaige Gao , Kang Guan , Kexin Huang , Kexing Zhou , Kezhao Huang , Kuai Yu , Lean Wang , Lecong Zhang , Lei Wang , Liang Zhao , Liangsheng Yin , Lihua Guo , Lingxiao Luo , Linwang Ma , Litong Wang , Liyue Zhang , M. S. Di , M. Y Xu , Mingchuan Zhang , Minghua Zhang , Minghui Tang , Mingxu Zhou , Panpan Huang , Peixin Cong , Peiyi Wang , Qiancheng Wang , Qihao Zhu , Qingyang Li , Qinyu Chen , Qiushi Du , Ruiling Xu , Ruiqi Ge , Ruisong Zhang , Ruizhe Pan , Runji Wang , Runqiu Yin , Runxin Xu , Ruomeng Shen , Ruoyu Zhang , S. H. Liu , Shanghao Lu , Shangyan Zhou , Shanhuang Chen , Shaofei Cai , Shaoyuan Chen , Shengding Hu , Shengyu Liu , Shiqiang Hu , Shirong Ma , Shiyu Wang , Shuiping Yu , Shunfeng Zhou , Shuting Pan , Songyang Zhou , Tao Ni , Tao Yun , Tian Pei , Tian Ye , Tianyuan Yue , Wangding Zeng , Wen Liu , Wenfeng Liang , Wenjie Pang , Wenjing Luo , Wenjun Gao , Wentao Zhang , Xi Gao , Xiangwen Wang , Xiao Bi , Xiaodong Liu , Xiaohan Wang , Xiaokang Chen , Xiaokang Zhang , Xiaotao Nie , Xin Cheng , Xin Liu , Xin Xie , Xingchao Liu , Xingkai Yu , Xingyou Li , Xinyu Yang , Xinyuan Li , Xu Chen , Xuecheng Su , Xuehai Pan , Xuheng Lin , Xuwei Fu , Y. Q. Wang , Yang Zhang , Yanhong Xu , Yanru Ma , Yao Li , Yao Li , Yao Zhao , Yaofeng Sun , Yaohui Wang , Yi Qian , Yi Yu , Yichao Zhang , Yifan Ding , Yifan Shi , Yiliang Xiong , Ying He , Ying Zhou , Yinmin Zhong , Yishi Piao , Yisong Wang , Yixiao Chen , Yixuan Tan , Yixuan Wei , Yiyang Ma , Yiyuan Liu , Yonglun Yang , Yongqiang Guo , Yongtong Wu , Yu Wu , Yuan Cheng , Yuan Ou , Yuanfan Xu , Yuduan Wang , Yue Gong , Yuhan Wu , Yuheng Zou , Yukun Li , Yunfan Xiong , Yuxiang Luo , Yuxiang You , Yuxuan Liu , Yuyang Zhou , Z. F. Wu , Z. Z. Ren , Zehua Zhao , Zehui Ren , Zhangli Sha , Zhe Fu , Zhean Xu , Zhenda Xie , Zhengyan Zhang , Zhewen Hao , Zhibin Gou , Zhicheng Ma , Zhigang Yan , Zhihong Shao , Zhixian Huang , Zhiyu Wu , Zhuoshu Li , Zhuping Zhang , Zian Xu , Zihao Wang , Zihui Gu , Zijia Zhu , Zilin Li , Zipeng Zhang , Ziwei Xie , Ziyi Gao , Zizheng Pan , Zongqing Yao , Bei Feng , Hui Li , J. L. Cai , Jiaqi Ni , Lei Xu , Meng Li , Ning Tian , R. J. Chen , R. L. Jin , S. S. Li , Shuang Zhou , Tianyu Sun , X. Q. Li , Xiangyue Jin , Xiaojin Shen , Xiaosha Chen , Xinnan Song , Xinyi Zhou , Y. X. Zhu , Yanping Huang , Yaohui Li , Yi Zheng , Yuchen Zhu , Yunxian Ma , Zhen Huang , Zhipeng Xu , Zhongyu Zhang , Dongjie Ji , Jian Liang , Jianzhong Guo , Jin Chen , Leyi Xia , Miaojun Wang , Mingming Li , Peng Zhang , Ruyi Chen , Shangmian Sun , Shaoqing Wu , Shengfeng Ye , T. Wang , W. L. Xiao , Wei An , Xianzu Wang , Xiaowen Sun , Xiaoxiang Wang , Ying Tang , Yukun Zha , Zekai Zhang , Zhe Ju , Zhen Zhang , Zihua Qu

Large language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in…

Computation and Language · Computer Science 2024-02-23 Minpeng Liao , Wei Luo , Chengxi Li , Jing Wu , Kai Fan

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…

Mathematical reasoning is a cornerstone of human intelligence and a key benchmark for advanced capabilities in large language models (LLMs). However, the research community still lacks an open, large-scale, high-quality corpus tailored to…

Computation and Language · Computer Science 2025-04-04 Fan Zhou , Zengzhi Wang , Nikhil Ranjan , Zhoujun Cheng , Liping Tang , Guowei He , Zhengzhong Liu , Eric P. Xing

We present an outcome-driven fine-tuning framework that enhances the forecasting capabilities of large language models (LLMs) without relying on human-curated reasoning samples. Our method leverages model self-play to generate pairs of…

Computation and Language · Computer Science 2025-02-11 Benjamin Turtel , Danny Franklin , Philipp Schoenegger

Recent advancements in Large Reasoning Models (LRMs), exemplified by DeepSeek-R1, have underscored the potential of scaling inference-time compute through Group Relative Policy Optimization (GRPO). However, GRPO frequently suffers from…

Artificial Intelligence · Computer Science 2026-02-09 Yu Zhao , Fan Jiang , Tianle Liu , Bo Zeng , Yu Liu , Longyue Wang , Weihua Luo

Large language models (LLMs) excel at general mathematical reasoning but fail catastrophically on specialized technical mathematics. In wireless communications, where problems require precise manipulation of information-theoretic bounds,…

Machine Learning · Computer Science 2025-09-30 Xin Li , Mengbing Liu , Yiyang Zhu , Wenhe Zhang , Li Wei , Jiancheng An , Chau Yuen

DeepSeek R1, and o1 have demonstrated powerful reasoning capabilities in the text domain through stable large-scale reinforcement learning. To enable broader applications, some works have attempted to transfer these capabilities to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Fanqing Meng , Lingxiao Du , Zongkai Liu , Zhixiang Zhou , Quanfeng Lu , Daocheng Fu , Tiancheng Han , Botian Shi , Wenhai Wang , Junjun He , Kaipeng Zhang , Ping Luo , Yu Qiao , Qiaosheng Zhang , Wenqi Shao