Chairs: C. Cirstea, F. Gadducci, H. Schlingloff Past Chairmen: M. Roggenbach, L. Schröder, T. Mossakowski, J. Fiadeiro, P. Mosses, H.-J. Kreowski
Mon, 24 April 2023 at 04:30 pm in Paris, France
Joint work with: Luca Cardelli, Kim G. Larsen, Mirco Tribastone, Andrea Vandin and others
Abstract: In this talk I will provide an overview of my research. We will start from the efficient algorithmic reduction of large-scale systems of nonlinear ordinary differential equations (ODEs), a ubiquitous specification and modelling formalism in systems biology, engineering and performance analysis. Thereafter, we will consider optimality-preserving reduction of parameterized ODEs, formally known as optimal control problems. The talk will finish with ongoing work concerning the reduction of neural ODEs, a class of neural networks that arise as the mathematical limit of infinitely deep neural networks.