51 citations · 211 across the 29 of their papers we have counts for
4 papers · 1 filter
External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
Marcello Carioni, Julian Fischer, Anja Schlömerkemper
This paper is concerned with equilibrium configurations of one-dimensional particle system with non-convex nearest-neighbour and next-to-nearest-neighbour interactions and its pass…
Sinkhorn AutoEncoders
Giorgio Patrini, Rianne van den Berg, Patrick Forré +5
Optimal transport offers an alternative to maximum likelihood for learning generative autoencoding models. We show that minimizing the p-Wasserstein distance between the generator…
Sparsity of solutions for variational inverse problems with finite-dimensional data
Kristian Bredies, Marcello Carioni
In this paper we characterize sparse solutions for variational problems of the form , where is a locally convex space, is a…
On different notions of calibrations for minimal partitions and minimal networks in
Marcello Carioni, Alessandra Pluda
Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces and adapted to the case of Steiner…