Embodied Artificial Intelligence | This project focusses on different aspects of the sensori-motor loop in conjunction with information theory. The goal is to develop a mathematical understanding of how first principles of learning lead to cognitive capabilities. |
Exponential Families & Information Maximization | In this project the geometry of exponential families is studied from the perspective of information geometry and algebraic statistics. The results are of particular relevance in the context of learning theory. |
Design of Learning Systems |
The goal of this project is to provide mathematical knowledge about various connectionistic models and to identify distinguished architectures of learning systems based on their expressive power and learning performance. |
Robustness of Functional Networks |
The aim of this project is to develop a mathematical formalism of functional robustness and to demonstrate its utility in the context of biological networks. |
Information Theory in Causal Inference |
This project studies how stochastic dependence is generated by causal interactions. It sets constraints on the underlying causal structure in terms of information-theoretic inequality relations. |
Geometry & Complexity | This project develops a geometric understanding of complexity. The aim of this approach is to relate various well-known concepts to each other. |