Emanuele Naldi

Research interests: Splitting algorithms - Optimal transport - Plug-and-Play methods - Optimization in spaces of measures - Distributed optimization - Functional analysis for Neural Networks

People I have collaborated with: Giuseppe Savaré - Dirk Lorenz - Kristian Bredies - Enis Chenchene - Simone Di Marino - Silvia Villa - Pontus Giselsson - Anton Akermann - Maicon Marques Alves - Jonathan Chirinos Rodríguez - Jannis Marquardt - Francesca Bartolucci - Marcello Carioni - José A. Iglesias - Yury Korolev - Stefano Vigogna - Felix Schneppe - Rodolfo Assereto - Sebastian Endt - Marion I. Menzel

List of Journals: SIAM Journal on Optimization - Computational Optimization and Applications - Atti della Accademia Nazionale dei Lincei - Optimization - Archiv der Mathematik - Applied Magnetic Resonance

Publications in peer-reviewed scientific journals

A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods (with M. Marques Alves, Dirk A. Lorenz). Computational Optimization and Applications (2025). https://doi.org/10.1007/s10589-025-00740-6
Graph and distributed extensions of the Douglas–Rachford method (with Kristian Bredies and Enis Chenchene). SIAM Journal on Optimization 34 (2), 1569-1594 (2024). https://doi.org/10.1137/22M1535097
On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces (with Kristian Bredies and Jonathan Chirinos-Rodriguez). Archiv der Mathematik, 1-8 (2024). https://doi.org/10.1007/s00013-024-01978-y
The Degenerate Variable Metric Proximal Point Algorithm and Adaptive Stepsizes for Primal-Dual Douglas-Rachford (with Dirk A. Lorenz, Jannis Marquardt). Optimization, 1-27 (2024). https://doi.org/10.1080/02331934.2024.2325552
In Vivo Myelin Water Quantification Using Diffusion–Relaxation Correlation MRI: A Comparison of 1D and 2D Methods (with Sebastian Endt, Rodolfo Assereto, Marion I. Menzel et al.). Applied Magnetic Resonance (2023). https://doi.org/10.1007/s00723-023-01584-1
Degenerate Preconditioned Proximal Point algorithms (with Kristian Bredies, Enis Chenchene and Dirk Lorenz). SIAM Journal on Optimization, vol. 32, no. 3, pp. 2376–2401 (2022). https://doi.org/10.1137/21M1448112
Weak topology and Opial property in Wasserstein spaces, with applications to gradient flows and proximal point algorithms of geodesically convex functionals (with Giuseppe Savaré). Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32, 725-750 (2021). https://doi.org/10.4171/rlm/955

Preprints

Splitting the Forward-Backward Algorithm: A Full Characterization (with Anton Åkerman, Enis Chenchene and Pontus Giselsson). arXiv preprint (2025). https://doi.org/10.48550/arXiv.2504.10999
Inexact JKO and proximal-gradient in Wasserstein spaces (with Simone Di Marino and Silvia Villa). https://cvgmt.sns.it/paper/7042/ (2025)
The Influence of an Adjoint Mismatch on the Primal-Dual Douglas-Rachford Method (with Felix Schneppe). arXiv preprint (2025). https://doi.org/10.48550/arXiv.2503.24141
A Lipschitz spaces view of infinitely wide shallow neural networks (with Francesca Bartolucci, Marcello Carioni, José A. Iglesias, Yury Korolev, Stefano Vigogna). arXiv preprint (2024). https://doi.org/10.48550/arXiv.2410.14591
Learning Firmly Nonexpansive Operators (with Kristian Bredies and Jonathan Chirinos Rodriguez). arXiv preprint (2024). https://doi.org/10.48550/arXiv.2407.14156

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