2022/03/16 by Gitta Kutyniok, Kutyniok, Gitta · 2 voices
Computer Science · Engineering · #Advanced Data Processing Techniques #Computational Physics and Python Applications #Neural Networks and Applications #cs.LG #math.HO #stat.ML
paper · pdf · doi:10.48550/arxiv.2203.08890
openalex publication_date 2022/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.