Publications and Preprints

[1] Christian Amend, Marcello Carioni, Kostantinos Zemas. Atomic gradient flows: gradient flows on sparse representations. Sumbitted, 2026
[2] Leonardo Del Grande, Christoph Brune, Marcello Carioni. A dual certificate approach to sparsity in infinite-width shallow neural networks. Sumbitted, 2026
[3] Tristan van Leeuwen, Christoph Brune, Marcello Carioni. An invertible generative model for forward and inverse problems. Preprint, 2025
[4] Marcello Carioni, Juliane Krautz, Jan-F Pietschmann. Dynamic Optimal Transport with optimal star shaped graphs. Accepted in PAMM, 2026
[5] Marcello Carioni, Julius Lohmann. Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation. Accepted in Inverse Problems, 2025
[6] Marcello Carioni, Juliane Krautz, Jan-F Pietschmann. Dynamic Optimal Transport with Optimal Preferential Paths. Submitted, 2025
[7] Floor van Maarschalkerwaart, Subhadip Mukherjee, Malena Sabaté Landman, Christoph Brune, Marcello Carioni. Perturbation-Aware Distributionally Robust Optimization for Inverse Problems. Accepted at SSVM 2025
[8] Marcello Carioni, Leonardo Del Grande, José A. Iglesias, Hidde Schönberger. Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons. Accepted in Calculus of Variations and PDE, 2025
[9] Francesca Bartolucci, Marcello Carioni, José A. Iglesias, Yury Korolev, Emanuele Naldi, Stefano Vigogna. A Lipschitz spaces view of infinitely wide shallow neural networks. Accepted in SIAM Mathematical Analysis, 2024
[10] Georgios Batzolis, Marcello Carioni, Christian Etmann, Soroosh Afyouni, Zoe Kourtzi, Carola Schönlieb. CAFLOW: Conditional Autoregressive Flows. Published in Foundations of Data Science, 2024
[11] Marcello Carioni, Subhadip Mukherjee, Hong Ye Tan, Junqi Tang. Unsupervised approaches based on optimal transport and convex analysis for inverse problems in imaging. Published in Data-driven Models in Inverse Problems, 2025
[12] Marcello Carioni, Leonardo Del Grande A general theory for exact sparse representation recovery in convex optimization. Submitted, 2023
[13] Kristian Bredies, Marcello Carioni, Martin Holler, Yury Korolev, Carola-Bibiane Schönlieb. A sparse optimization approach to infinite infimal convolution regularization. Published in Foundations of Numerische Mathematik, 2024
[14] Simone Saitta, Marcello Carioni, Subhadip Mukherjee, Carola-Bibiane Schönlieb, Alberto Redaelli. Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI. Accepted for publication in Computer Methods and Programs in Biomedicine, 2024
[15] Marcello Carioni, José Iglesias, Daniel Walter. Extremal points and sparse optimization for generalized Kantorovich-Rubinstein norms Accepted for publication in Foundations of Computational Mathematics, 2023
[16] Kristian Bredies, Marcello Carioni, Silvio Fanzon, Daniel Walter. Asymptotic linear convergence of fully-corrective generalized conditional gradient methods. Published in Mathematical Programming, 2023
[17] Kristian Bredies, Marcello Carioni, Martin Holler. Regularization Graphs–A unified framework for variational regularization of inverse problems. Published in Inverse Problems, 2022
[18] Kristian Bredies, Marcello Carioni, Silvio Fanzon.A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients. Published in Communications in Partial Differential Equations, 2022
[19] Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero. A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. Published in Foundations of Computational Mathematics, 2022
[20] Subhadip Mukherjee, Marcello Carioni, Ozan Öktem, Carola-Bibiane Schönlieb. End-to-end reconstruction meets data-driven regularization for inverse problems Published in Neurips, 2021
[21] Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero. On the extremal points of the ball of the Benamou–Brenier energy Published in Bulletin of the London Mathematical Society, 2021
[22] Marcello Carioni, Giorgio Patrini, Max Welling, Patrick Forré, Tim Genewein. Lossy data compressor for vehicle control systems. US Patent 11,150,657, 2021
[23] Kristian Bredies, Marcello Carioni. Sparsity of solutions for variational inverse problems with finite-dimensional data. Published in Calculus of Variations and Partial Differential Equations, 2020
[24] Marcello Carioni, Julian Fischer, Anja Schlömerkemper. External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a Gamma-development. Published in Journal of Convex Analysis, 2022
[25] Marcello Carioni, Andrea Marchese, Annalisa Massaccesi, Alessandra Pluda, Riccardo Tione. The oriented mailing problem and its convex relaxation. Published in Nonlinear Analysis, 2020
[26] Marcello Carioni, Alessandra Pluda. Calibrations for minimal networks in a covering space setting. Published in ESAIM: Control, Optimisation and Calculus of Variations, 2020
[27] Marcello Carioni, Alessandra Pluda. On different notions of calibrations for minimal partitions and minimal networks in R2 Published in Advances in Calculus of Variations, 2019
[28] Giorgio Patrini, Rianne van den Berg, Patrick Forre, Marcello Carioni, Samarth Bhargav, Max Welling, Tim Genewein, Frank Nielsen. Sinkhorn autoencoders. Published in UAI, 2019
[29] Marcello Carioni. A Convex Decomposition Formula for the Mumford-Shah Functional in Dimension One. Published in Journal of Convex Analysis, 2018
[30] Giorgio Patrini, Frank Nielsen, Richard Nock, Marcello Carioni. Loss factorization, weakly supervised learning and label noise robustness. Published in International Conference on Machine Learning, 2016
[31] Marcello Carioni. Long time behaviour for the reinitialization of the distance function Preprint, 2018