Showing math.NAShow all
2 papers · 1 filter
math.NA2026
A PDE-Based Framework for Generative Modeling Beyond Classical Score-Based Diffusion
Horacio Tettamanti, Michael Herty
We introduce an alternative generative framework based on a nonlinear modification of the classical Ornstein--Uhlenbeck dynamics. The proposed dynamics admits both a microscopic de…
math.NA2026
Ensemble Kalman Inversion as an Inertial Interacting Particle System
Michael Herty, Pierpaolo Porretta, Giuseppe Visconti
Ensemble Kalman Inversion (EKI) is a derivative-free, ensemble-based method for inverse and optimization problems. Its continuous-time formulation can be interpreted as an interact…