96 citations · 255 across the 43 of their papers we have counts for
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Control Strategies for Multi-Species Wasserstein Gradient Flows
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
We stabilize stationary states of coupled multi-species McKean--Vlasov equations by feedback control, extending a spectral approach based on the Wasserstein Hessian and a Riccati e…
Feedback Control and Local Convexification of Wasserstein Gradient Flows
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
Building on the feedback stabilization framework that we developed for McKean-Vlasov PDEs, we treat a class of entropy-regularized free energies on the flat…
Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
We develop a feedback control framework for stabilizing the McKean-Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or acceler…
A Spectral Approach to Optimal Control of the Fokker-Planck Equation
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis +1
In this paper, we present a spectral optimal control framework for Fokker-Planck equations based on the standard ground state transformation that maps the Fokker-Planck operator to…
Computation and Control of Unstable Steady States for Mean Field Multiagent Systems
Sara Bicego, Dante Kalise, Grigorios A. Pavliotis
We study interacting particle systems driven by noise, modeling phenomena such as opinion dynamics. We are interested in systems that exhibit phase transitions i.e. non-uniqueness…
On stochastic mirror descent with interacting particles: convergence properties and variance reduction
Anastasia Borovykh, Nikolas Kantas, Panos Parpas +1
An open problem in optimization with noisy information is the computation of an exact minimizer that is independent of the amount of noise. A standard practice in stochastic approx…