51 citations · 211 across the 29 of their papers we have counts for
6 papers · 1 filter
An invertible generative model for forward and inverse problems
Christoph Brune, Marcello Carioni, Tristan van Leeuwen +1
We formulate inverse problems in a Bayesian framework and aim to train an invertible generative model that is capable of simulation (i.e., sampling from the likelihood) and inferen…
Dynamic Optimal Transport with optimal star shaped graphs
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study an optimal transport problem in a compact convex set where bulk transport is coupled to dynamic optimal transport on a metric graph $ \mathsf{G} = (…
Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation
Marcello Carioni, Julius Lohmann
We investigate a dynamic inverse problem using a regularization which implements the so-called Wasserstein- distance. It naturally extends well-known static problems such as las…
Dynamic Optimal Transport with Optimal Preferential Paths
Marcello Carioni, Juliane Krautz, Jan-F. Pietschmann
We study a dynamic optimal transport type problem on a domain that consists of two parts: a compact set (bulk) and a non-intersecting and sufficiently regul…
Perturbation-Aware Distributionally Robust Optimization for Inverse Problems
Floor van Maarschalkerwaart, Subhadip Mukherjee, Malena Sabaté Landman +2
This paper builds on classical distributionally robust optimization techniques to construct a comprehensive framework that can be used for solving inverse problems. Given an estima…
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons
Marcello Carioni, Leonardo Del Grande, José A. Iglesias +1
We analyze the extremality and decomposability properties with respect to two types of nonlocal perimeters available in the literature, the Gagliardo perimeter based on the eponymo…