5 papers
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…
Leveraging Christoffel-Darboux Kernels to Strengthen Moment-SOS Relaxations
SreÄko ÃuraÅ¡inoviÄ, Perla Azzi, Jean-Bernard Lasserre +3
The classical Moment-Sum Of Squares hierarchy allows to approximate a global minimum of a polynomial optimization problem through semidefinite relaxations of increasing size. Howev…
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.…
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…
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…