Publications and Preprints
CAFLOW: Conditional Autoregressive Flows
Georgios Batzolis, Marcello Carioni, Christian Etmann, Soroosh Afyouni, Zoe Kourtzi, Carola Schönlieb
Published in Foundations of Data Science, 2024Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imaging
Marcello Carioni, Subhadip Mukherjee, Hong Ye Tan, Junqi Tang
Submitted, 2023A general theory for exact sparse representation recovery in convex optimization
Marcello Carioni, Leonardo Del Grande
Submitted, 2023A sparse optimization approach to infinite infimal convolution regularization
Kristian Bredies, Marcello Carioni, Martin Holler, Yury Korolev, Carola-Bibiane Schönlieb
Submitted, 2023- Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI
Simone Saitta, Marcello Carioni, Subhadip Mukherjee, Carola-Bibiane Schönlieb, Alberto Redaelli
Accepted for publication in Computer Methods and Programs in Biomedicine, 2024 Extremal points and sparse optimization for generalized Kantorovich-Rubinstein norms
Marcello Carioni, José Iglesias, Daniel Walter
Accepted for publication in Foundations of Computational Mathematics, 2023Asymptotic linear convergence of fully-corrective generalized conditional gradient methods
Kristian Bredies, Marcello Carioni, Silvio Fanzon, Daniel Walter
Published in Mathematical Programming, 2023Regularization Graphs–A unified framework for variational regularization of inverse problems
Kristian Bredies, Marcello Carioni, Martin Holler
Published in Inverse Problems, 2022A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Kristian Bredies, Marcello Carioni, Silvio Fanzon
Published in Communications in Partial Differential Equations, 2022A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization
Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero
Published in Foundations of Computational Mathematics, 2022End-to-end reconstruction meets data-driven regularization for inverse problems
Subhadip Mukherjee, Marcello Carioni, Ozan Öktem, Carola-Bibiane Schönlieb
Published in Neurips, 2021On the extremal points of the ball of the Benamou–Brenier energy
Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero
Published in Bulletin of the London Mathematical Society, 2021Lossy data compressor for vehicle control systems
Marcello Carioni, Giorgio Patrini, Max Welling, Patrick Forré, Tim Genewein
US Patent 11,150,657, 2021Sparsity of solutions for variational inverse problems with finite-dimensional data
Kristian Bredies, Marcello Carioni
Published in Calculus of Variations and Partial Differential Equations, 2020External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a Gamma-development
Marcello Carioni, Julian Fischer, Anja Schlömerkemper
Published in Journal of Convex Analysis, 2022The oriented mailing problem and its convex relaxation
Marcello Carioni, Andrea Marchese, Annalisa Massaccesi, Alessandra Pluda, Riccardo Tione
Published in Nonlinear Analysis, 2020Calibrations for minimal networks in a covering space setting
Marcello Carioni, Alessandra Pluda
Published in ESAIM: Control, Optimisation and Calculus of Variations, 2020On different notions of calibrations for minimal partitions and minimal networks in R2
Marcello Carioni, Alessandra Pluda
Published in Advances in Calculus of Variations, 2019Sinkhorn autoencoders
Giorgio Patrini, Rianne van den Berg, Patrick Forre, Marcello Carioni, Samarth Bhargav, Max Welling, Tim Genewein, Frank Nielsen
Published in UAI, 2019A Convex Decomposition Formula for the Mumford-Shah Functional in Dimension One
Marcello Carioni
Published in Journal of Convex Analysis, 2018Loss factorization, weakly supervised learning and label noise robustness
Giorgio Patrini, Frank Nielsen, Richard Nock, Marcello Carioni
Published in International Conference on Machine Learning, 2016- Long time behaviour for the reinitialization of the distance function
Marcello Carioni
Preprint, 2018