DIEP seminar by Matteo Capucci
An elementary account of the internal model principle
During this session, Capucci will talk about recent work with Baltieri, Biehl and Virgo [1] on a categorical account of the classical 'internal model principle' from control theory and cybernetics in a broader sense. The aim is to distill the mathematical content of such an informal principle, following previous work of Wonham and Hepburn. In the talk Capucci will only use elementary mathematical notions and thus should be accessible to an audience acquainted with the basic vocabulary of sets and dynamical systems.
[1] Baltieri, Biehl, C., Virgo, "A Bayesian Interpretation of the Internal Model Principle", (preprint), 2025, URL: http://arxiv.org/abs/2503.00511
Matteo Capucci is a researcher at the Advanced Research and Invention Agency (ARIA) in the UK. He did his PhD at the University of Strathclyde in the Mathematically Structured Programming group. He is developing mathematics to describe open complex systems, like appear in game theory, machine learning, and cybernetics. Capucci and his colleagues focus on the composition of systems, and have formed a community of Applied Category Theorists.
If you wish to attend this seminar online, please send an email to a.a.a.jansma@uva.nl to receive the zoom-link.