3 papers
math.ST2025
Affine invariant interacting Langevin dynamics in Markov chain importance sampling for rare event estimation
Jason Beh, Jérôme Morio, Florian Simatos +1
This work considers the framework of Markov chain importance sampling~(MCIS), in which one employs a Markov chain Monte Carlo~(MCMC) scheme to sample particles approaching the opti…
math.OC2024
Derivative-free stochastic bilevel optimization for inverse problems
Mathias Staudigl, Simon Weissmann, Tristan van Leeuwen
Inverse problems are key issues in several scientific areas, including signal processing and medical imaging. Data-driven approaches for inverse problems aim for learning model and…
math.NA2024
On the mean-field limit for Stein variational gradient descent: stability and multilevel approximation
Simon Weissmann, Jakob Zech
In this paper we propose and analyze a novel multilevel version of Stein variational gradient descent (SVGD). SVGD is a recent particle based variational inference method. For Baye…