AI for Mathematics
摘要
AI has made notable strides in the field of mathematics. One area of focus is the development of AI systems that can assist mathematicians in proving theorems and solving complex mathematical problems. These systems use techniques such as reinforcement learning, symbolic computation, genetic programming, and large language models to explore mathematical spaces and discover new patterns and relationships. AI algorithms and paradigms, like AlphaZero, are also being used to analyze mathematical texts and extract useful information, such as key concepts and problem-solving strategies. As representative examples, this chapter provides brief introductions to selected advancements in AI for mathematics, including guiding mathematicians’ intuition for conjectures, searching for new programs for combinatorial optimization, proving geometric theorems, and discovering faster algorithms for matrix multiplication and sorting.