New Mathematics for AI Innovations

Challenges

The breathtaking development of AI depends on many factors – data, computation, and mathematical modeling. In addition, mathematics contributes to understanding and extending the mechanisms underlying AI, whether through statistical learning theory, numerical linear algebra, approximation theory, and countless other fields. More recently, Generative AI (GenAI) is directly connected to mathematical fields such as optimal transport and (stochastic) differential equations.

AI is also flourishing in the German economy. In particular, start-ups and small and medium-sized companies are seizing the opportunities and creating value for customers and jobs based on innovative AI-related ideas. The dynamism of this sector is reflected by the foundation of the German Association for Artificial Intelligence (KI Bundesverband) by 24 companies in 2018. Since then, this association has experienced rapid growth and now represents 500 companies with a specific AI business model. Driven by technology, the experts of AI-companies are often the first to recognize new research problems, some of which can be solved by new mathematics.