activity
20202026
most citedMoment-SoS Methods for Optimal Transport Problems

1 citations · 3 across the 11 of their papers we have counts for

collaborators

13 papers

math.NA2026

Symplectic filtering of Hamiltonian dynamics with moving sensors

Olga Mula, Cecilia Pagliantini, Federico Vismara

While structure-preserving methods for the forward simulation of Hamiltonian systems are well established, the mathematical foundations of their data assimilation and filtering cou…

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.OC2025

Leveraging Christoffel-Darboux Kernels to Strengthen Moment-SOS Relaxations

Srećko Ðurašinović, Perla Azzi, Jean-Bernard Lasserre +3

The classical Moment-SOS hierarchy allows one to approximate the global minimum of a polynomial optimization problem through semidefinite relaxations of increasing accuracy. For ma…

cs.CE2024

Towards a Real-Time Simulation of Elastoplastic Deformation Using Multi-Task Neural Networks

Ruben Schmeitz, Joris Remmers, Olga Mula +1

This study introduces a surrogate modeling framework merging proper orthogonal decomposition, long short-term memory networks, and multi-task learning, to accurately predict elasto…

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…

cs.CV2024

Optimal Transport on the Lie Group of Roto-translations

Daan Bon, Gautam Pai, Gijs Bellaard +2

The roto-translation group SE2 has been of active interest in image analysis due to methods that lift the image data to multi-orientation representations defined on this Lie group.…