Schematic representation of a class of neural networks being researched in the project "Nonlinear optimal feedback control with deep neural networks without the curse of dimension".

The research project "Nonlinear optimal feedback control with deep neural networks without the curse of dimension" will be funded for a further three years from October 2024 with almost €258,000. The project of the Chair of Applied Mathematics under the direction of Prof. Dr. Lars Grüne deals with the use of deep neural networks to solve large networked optimal control problems. These are problems in which an optimal strategy for the operation of a networked technical system is sought. Such systems can be found, for example, in the transportation sector in autonomous driving with many vehicles communicating with each other or in the coordination of many small systems for generating and storing renewable energy. The project uses mathematical methods to investigate which properties these problems must have so that they can be solved efficiently with deep neural networks.

About the research project

Deep reinforcement learning, one of the methods for calculating optimal feedback and arguably one of the most successful algorithms in artificial intelligence, is behind the spectacular successes in games such as chess and Go, but also has multiple applications in science, technology and business. The project "Nonlinear optimal feedback control with deep neural networks without the curse of dimension" explores the mathematical foundations of this successful approach.

Further information can be found on the research project Website.

About the DFG Research Priority Program

The DFG Priority Program "Theoretical Foundations of Deep Learning" funds 23 projects of 34 principal investigators at 24 German universities. The main goal of the program is to develop a comprehensive theoretical foundation for deep learning.

Further information: https://www.foundationsofdl.de

Prof. Dr. Lars GrüneChair of Applied Mathematics

University of Bayreuth
Phone: +49 (0)921 / 55-3270
Mail: lars.gruene@uni-bayreuth.de

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