M. Carioni:
Long time behaviour for the reinitialization of the distance function
(Preprint) 2017

M. Carioni:
Existence of calibrations for the Mumford-Shah functional and the reinitialization of the distance function in the framework of Chan and Vese algorithms
(Phd Thesis) 2017

M. Carioni:
A convex decomposition formula for the Mumford-Shah functional in dimension one
Journal of Convex Analysis 2018

M. Carioni, A. Pluda:
On different notions of calibrations for minimal partitions and minimal networks in $\mathbb{R}^2$
Adv. Calc. Var. (Accepted Paper) 2019

K. Bredies, M. Carioni:
Sparsity of solutions for variational inverse problems with finite-dimensional data
Calc. Var. Partial Differential Equations (Accepted Paper) 2019

S. Bhargav, M. Carioni, P. Forré, T. Genewein, F. Nielsen, G. Patrini , R. Van den Berg, M. Welling:
Sinkhorn AutoEncoders
UAI (Proceedings) 2019

M. Carioni, A. Pluda:
Calibrations for minimal networks in a covering space setting
ESAIM Control Optim. Calc. Var. Vol. 26, 2020

M. Carioni, A. Marchese, A. Massaccesi, A. Pluda, R. Tione:
The oriented mailing problem and its convex relaxation
Nonlinear Anal. Vol. 199, 2020

M. Carioni, J. Fischer, A. Schlömerkemper:
External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
Journal of Convex Analysis 2020

K. Bredies, M. Carioni, S. Fanzon, F. Romero:
On the extremal points of the ball of the Benamou-Brenier energy
Bulletin of the London Mathematical Society 2021

M. Carioni, S. Mukherjee, O. Öktem, C. B. Schönlieb:
End-to-end reconstruction meets data-driven regularization for inverse problems
NeurIPS 2021 (Proceedings) http://arxiv.org/abs/2106.03538 2021

K. Bredies, M. Carioni, S. Fanzon, F. Romero:
A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization
Foundations of Computational Mathematics 2022

K. Bredies, M. Carioni, S. Fanzon:
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Communications in Partial Differential Equations 2022

K. Bredies, M. Carioni, M. Holler:
Regularization Graphs - A unified framework for variational regularization of inverse problems
Inverse Problems 2022

K. Bredies, M. Carioni, S. Fanzon, D. Walter:
Asymptotic linear convergence of Fully-Corrective Generalized Conditional Gradient methods
Mathematical Programming 2023

M. Carioni, Hong Ye Tan, S. Mukherjee, J. Tang:
Unsupervised approaches based on optimal transport and convex analysis
  for inverse problems in imaging
(preprint) http://arxiv.org/abs/2311.08972 2023

M. Carioni, L. Del Grande:
A General Theory for Exact Sparse Representation Recovery in Convex  Optimization
(preprint) http://arxiv.org/abs/2311.08072 2023

M. Carioni, L. Del Grande:
A General Theory for Exact Sparse Representation Recovery in Convex Optimization
(Preprint) http://arxiv.org/abs/2311.08072 2023

M. Carioni, J. A. Iglesias, D. Walter:
Extremal points and sparse optimization for generalized  Kantorovich-Rubinstein norms
Foundations of Computational Mathematics 2024

K. Bredies, M. Carioni, M. Holler, Y. Korolev, C. B. Schönlieb:
A sparse optimization approach to infinite infimal convolution  regularization
Numerische Mathematik (Accepted Paper) http://arxiv.org/abs/2304.08628 2024

S. Afyouni, G. Batzolis, M. Carioni, C. Etmann, Z. Kourtzi, C. B. Schönlieb:
CAFLOW: Conditional Autoregressive Flows
Foundations of Data Science (Accepted Paper) http://arxiv.org/abs/2106.02531 2024

F. Bartolucci, M. Carioni, J. A. Iglesias, Y. Korolev, E. Naldi, S. Vigogna:
A Lipschitz spaces view of infinitely wide shallow neural networks
(Submitted Paper) http://arxiv.org/abs/2410.14591 2024

M. Carioni, S. Mukherjee, A. Redaelli , S. Saitta, C. B. Schönlieb:
Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI
Computer methods and programs in biomedicine 2024

M. Carioni, J. Krautz, J. F. Pietschmann:
Dynamic Optimal Transport with Optimal Preferential Paths
(Preprint) http://arxiv.org/abs/2504.03285 2025

C. Brune, M. Carioni, M. S. Landman, S. Mukherjee, F. van Maarschalkerwaart:
Perturbation-Aware Distributionally Robust Optimization for Inverse Problems
SSVM 2025 (Accepted Paper) http://arxiv.org/abs/2503.04646 2025

M. Carioni, L. Del Grande, J. A. Iglesias, H. Schönberger:
Nonlocal perimeters and variations: Extremality and decomposability for  finite and infinite horizons
(Submitted Paper) http://arxiv.org/abs/2502.05149 2025

M. Carioni, J. Lohmann:
Sparsity for dynamic inverse problems on Wasserstein curves with bounded variation
(Preprint) http://arxiv.org/abs/2505.07314 2025