7 papers
Dissipative Evolutions in Metric Spaces
Lauren Conger, Franca Hoffmann, Giuseppe Savaré
We study a novel class of evolution variational inequalities (EVI) driven by bifunctions defined on a subset o…
Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization
Seung-Yeal Ha, Franca Hoffmann, Dohyeon Kim
We study second-order Consensus-Based Optimization (CBO), a derivative-free global optimization algorithm in which the consensus force and the multiplicative exploratory noise act…
Knothe-Rosenblatt maps via soft-constrained optimal transport
Ricardo Baptista, Franca Hoffmann, Minh Van Hoang Nguyen +1
In the theory of optimal transport, the Knothe-Rosenblatt (KR) rearrangement provides an explicit construction to map between two probability measures by building one-dimensional t…
Monotone Multispecies Flows
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We present a novel notion of -monotonicity for an -species system of partial differential equations governed by mass-preserving flow dynamics, extending monotonicity in Banac…
Computing Optimal Transport Plans via Min-Max Gradient Flows
Lauren Conger, Franca Hoffmann, Ricardo Baptista +1
We pose the Kantorovich optimal transport problem as a min-max problem with a Nash equilibrium that can be obtained dynamically via a two-player game, providing a framework for app…
Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in w…
Convex Constrained Controller Synthesis for Evolution Equations
Lauren Conger, Antoine P. Leeman, Franca Hoffmann
We propose a convex controller synthesis framework for a large class of constrained linear systems, including those described by (deterministic and stochastic) partial differential…