论文标题
人工智能的数学
The Mathematics of Artificial Intelligence
论文作者
论文摘要
目前，我们目睹了人工智能在科学和公共生活中取得的惊人成功。但是，严格的数学基础的发展仍在早期。在这篇调查文章中，该文章是基于2022年国际数学家国际大会的邀请演讲，我们将特别关注当前人工智能的“士兵”，即深层神经网络。我们将提出主要的理论方向以及几个示例性结果，并讨论关键的开放问题。
We currently witness the spectacular success of artificial intelligence in both science and public life. However, the development of a rigorous mathematical foundation is still at an early stage. In this survey article, which is based on an invited lecture at the International Congress of Mathematicians 2022, we will in particular focus on the current "workhorse" of artificial intelligence, namely deep neural networks. We will present the main theoretical directions along with several exemplary results and discuss key open problems.
