24 citations · 102 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
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…
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…
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…
Derivation of Linearised Polycrystals from a 2D system of edge dislocations
Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimisation. For this purpose, we introduce a variational model for two-dimensional…
Optimal lower exponent for the higher gradient integrability of solutions to two-phase elliptic equations in two dimensions
Silvio Fanzon, Mariapia Palombaro
We study the higher gradient integrability of distributional solutions to the equation in dimension two, in the case when the essential range of consis…
A variational model for dislocations at semi-coherent interfaces
Silvio Fanzon, Mariapia Palombaro, Marcello Ponsiglione
We propose and analyze a simple variational model for dislocations at semi-coherent interfaces. The energy functional describes the competition between two terms: a surface energy…