3 papers
math.AP2023
Global stability for McKean-Vlasov equations on large networks
Christian Kuehn, Tobias Wöhrer
We investigate the mean-field dynamics of stochastic McKean differential equations with heterogeneous particle interactions described by large network structures. To express a wide…
math.OC2023
A minimax optimal control approach for robust neural ODEs
Cristina Cipriani, Alessandro Scagliotti, Tobias Wöhrer
In this paper, we address the adversarial training of neural ODEs from a robust control perspective. This is an alternative to the classical training via empirical risk minimizatio…
math.AP2017
On The Rates of Decay to Equilibrium in Degenerate and Defective Fokker-Planck Equations
Anton Arnold, Amit Einav, Tobias Wöhrer
We establish sharp long time asymptotic behaviour for a family of entropies to defective Fokker-Planck equations and show that, much like defective finite dimensional ODEs, their d…