Mathematical Reasoning
Mathematical reasoning in large language models (LLMs) is a burgeoning research area focused on evaluating and improving the ability of these models to solve mathematical problems, encompassing both symbolic and numerical reasoning. Current research emphasizes developing more robust benchmarks that assess not only final accuracy but also the reasoning process itself, including error detection and correction, and exploring various training methods such as reinforcement learning from human feedback and instruction tuning to enhance model performance. This field is significant because advancements in mathematical reasoning capabilities in LLMs have broad implications for various applications, including education, scientific discovery, and automated problem-solving.
Papers
MathCoder2: Better Math Reasoning from Continued Pretraining on Model-translated Mathematical Code
Zimu Lu, Aojun Zhou, Ke Wang, Houxing Ren, Weikang Shi, Junting Pan, Mingjie Zhan, Hongsheng Li
Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models
Bofei Gao, Feifan Song, Zhe Yang, Zefan Cai, Yibo Miao, Qingxiu Dong, Lei Li, Chenghao Ma, Liang Chen, Runxin Xu, Zhengyang Tang, Benyou Wang, Daoguang Zan, Shanghaoran Quan, Ge Zhang, Lei Sha, Yichang Zhang, Xuancheng Ren, Tianyu Liu, Baobao Chang
Beyond Captioning: Task-Specific Prompting for Improved VLM Performance in Mathematical Reasoning
Ayush Singh, Mansi Gupta, Shivank Garg, Abhinav Kumar, Vansh Agrawal
Give me a hint: Can LLMs take a hint to solve math problems?
Vansh Agrawal, Pratham Singla, Amitoj Singh Miglani, Shivank Garg, Ayush Mangal
GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models
Iman Mirzadeh, Keivan Alizadeh, Hooman Shahrokhi, Oncel Tuzel, Samy Bengio, Mehrdad Farajtabar
MathHay: An Automated Benchmark for Long-Context Mathematical Reasoning in LLMs
Lei Wang, Shan Dong, Yuhui Xu, Hanze Dong, Yalu Wang, Amrita Saha, Ee-Peng Lim, Caiming Xiong, Doyen Sahoo
Evaluating Robustness of Reward Models for Mathematical Reasoning
Sunghwan Kim, Dongjin Kang, Taeyoon Kwon, Hyungjoo Chae, Jungsoo Won, Dongha Lee, Jinyoung Yeo
OpenMathInstruct-2: Accelerating AI for Math with Massive Open-Source Instruction Data
Shubham Toshniwal, Wei Du, Ivan Moshkov, Branislav Kisacanin, Alexan Ayrapetyan, Igor Gitman
PersonaMath: Enhancing Math Reasoning through Persona-Driven Data Augmentation
Jing Luo, Run Luo, Longze Chen, Liang Zhu, Chang Ao, Jiaming Li, Yukun Chen, Xin Cheng, Wen Yang, Jiayuan Su, Chengming Li, Min Yang
InfiMM-WebMath-40B: Advancing Multimodal Pre-Training for Enhanced Mathematical Reasoning
Xiaotian Han, Yiren Jian, Xuefeng Hu, Haogeng Liu, Yiqi Wang, Qihang Fan, Yuang Ai, Huaibo Huang, Ran He, Zhenheng Yang, Quanzeng You
Small Language Models are Equation Reasoners
Bumjun Kim, Kunha Lee, Juyeon Kim, Sangam Lee