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
Metacognitive Capabilities of LLMs: An Exploration in Mathematical Problem Solving
Aniket Didolkar, Anirudh Goyal, Nan Rosemary Ke, Siyuan Guo, Michal Valko, Timothy Lillicrap, Danilo Rezende, Yoshua Bengio, Michael Mozer, Sanjeev Arora
DOP: Diagnostic-Oriented Prompting for Large Language Models in Mathematical Correction
Hao Chen, Biaojie Zeng, Xin Lin, Liang He, Aimin Zhou