activity
20152021
most citedA generalized conditional gradient method for dynamic inverse problems with optimal transport regularization

24 citations · 47 across the 3 of their papers we have counts for

collaborators

9 papers

math.OC2021★ 12 cited

Asymptotic linear convergence of fully-corrective generalized conditional gradient methods

Kristian Bredies, Marcello Carioni, Silvio Fanzon +1

We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the minimization of the sum of a smooth, convex loss function and a convex one-homogeneous regula…

math.NA2020★ 24 cited

A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization

Kristian Bredies, Marcello Carioni, Silvio Fanzon +1

We develop a dynamic generalized conditional gradient method (DGCG) for dynamic inverse problems with optimal transport regularization. We consider the framework introduced in (Bre…

math.AP2020★ 11 cited

A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients

Kristian Bredies, Marcello Carioni, Silvio Fanzon

We study measure-valued solutions of the inhomogeneous continuity equation where the coefficients and are of low regularity. A ne…

math.AP2019

Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces

Silvio Fanzon, Marcello Ponsiglione, Riccardo Scala

In this paper we introduce Peierls-Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly d…

math.OC2019

On the extremal points of the ball of the Benamou-Brenier energy

Kristian Bredies, Marcello Carioni, Silvio Fanzon +1

In this paper we characterize the extremal points of the unit ball of the Benamou--Brenier energy and of a coercive generalization of it, both subjected to the homogeneous continui…

math.FA2019

An optimal transport approach for solving dynamic inverse problems in spaces of measures

Kristian Bredies, Silvio Fanzon

In this paper we propose and study a novel optimal transport based regularization of linear dynamic inverse problems. The considered inverse problems aim at recovering a measure va…