arXiv AI
Oct 9

Machine learning and information theory concepts towards an AI Mathematician

The paper argues that current AI excels at intuitive, system‑1 tasks but falls short on system‑2 reasoning needed for mathematics. It proposes using information theory to define what makes a mathematical statement interesting, aiming to guide the creation of an AI mathematician that can generate novel conjectures rather than merely prove existing theorems. The central hypothesis is that a concise, descriptive set of theorems can efficiently capture the space of all provable statements by minimizing description length while remaining close to many derivable results.

By Yoshua Bengio, Esmeralda S. Whitammer
arXiv AI
Jul 10

From Solvers to Research: Large Language Model-Driven Formal Mathematics at the Research Frontier

arXiv:2607. 07779v1 Announce Type: cross Abstract: Recent developments in AI for Mathematics (AI4Math), especially Large Language Model (LLM)-driven theorem provers, has achieved remarkable success in formal proof generation for well-defined mathematical problems through Interactive Theorem Proving (ITP) languages.

By Eric Jiang, Xiao Liang, Yikai Zhang, Yingjia Wan, Mengting Li, Haikang Deng, Alexander K. Taylor, Justin Baker, Rushil Raghavan, Junyi Zhang, Ying Nian Wu, Andrea L. Bertozzi, Kai-Wei Chang, Raghu Meka, Matthew Sottile, Nanyun Peng, Amit Sahai, Terence Tao, Wei Wang
arXiv AI
Sep 15

Math for AI safety: an invitation for mathematicians

The article "Math for AI safety: an invitation for mathematicians" calls for new mathematical tools to ensure AI remains understandable, controllable, and cooperative. It outlines specific mathematical fields—logic, game theory, probability, algebra, representation theory, analysis, and geometry—each paired with an open problem tailored for mathematicians without AI safety background. The piece invites researchers to contribute to designing AI that is legible, steerable, and aligned with human values.

By Lionel Levine