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math.NA2026
A Dynamical Approximation Scheme on the Stiefel manifold for Wasserstein Gradient Flows
Isabella Carla Gonnella, Olga Mula, Federico Pichi +1
We propose a meshless Lagrangian dynamical method for approximating Wasserstein gradient flows (WGFs). The evolving measure is represented as the pushforward of the initial measure…
math.NA2024
Dynamical approximation and sensor placement for filtering problems
Olga Mula, Cecilia Pagliantini, Federico Vismara
We consider the inverse problem of reconstructing an unknown function from a finite set of measurements, under the assumption that is the trajectory of a transport-dominate…
math.NA2024
Tree-Based Nonlinear Reduced Modeling
Diane Guignard, Olga Mula
This paper is concerned with model order reduction of parametric Partial Differential Equations (PDEs) using tree-based library approximations. Classical approaches are formulated…