Emanuele Naldi

I am a researcher at the department of mathematics of the University of Genoa. I am also part of the MaLGa research group, under the supervision of Prof. Silvia Villa.

Before joining the University of Genoa I did my PhD in Braunschweig (Germany) in the research group of Prof. Dirk Lorenz. The position was within the TraDE-OPT project, funded by ITN Marie Skłodowska-Curie Action. My PhD thesis is about "Investigating degenerate preconditioners for proximal point algorithms".

My wife is also a mathematician! See Francesca Bartolucci.

Talks:
September 22: I will be visiting Montréal to give a talk in the CRM Applied Mathematics Seminars.

Visitings:
September and October 2025: I am visiting Augusto Gerolin at the Department of Mathematics and Statistics of the University of Ottawa. I am teaching a course on "Gradient flows in Hilbert spaces and in the spaces of probability measures".

Main research interests:

Splitting and distributed methods in convex optimization
Learning regularizers for Plug-and-Play methods
Optimal transport and optimization algorithms in spaces of measures

Contacts:

emanuele.naldi@edu.unige.it

Dipartimento di Matematica, Università Degli Studi di Genova, Via Dodecaneso, 35, 16146 Genova, Italy

Links: Google scholar - Research Gate - ORCID

Out now
Splitting the Forward-Backward Algorithm: A Full Characterization (with Anton Åkerman, Enis Chenchene and Pontus Giselsson). arXiv preprint (2024). https://doi.org/10.48550/arXiv.2504.10999

Out now:

Splitting the Forward-Backward Algorithm: A Full Characterization (with Anton Åkerman, Enis Chenchene and Pontus Giselsson). arXiv preprint (2024). https://doi.org/10.48550/arXiv.2504.10999

Selected publications and preprints:

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
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
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

Short Curriculum Vitae:

From November 2023: Researcher (assegnista di ricerca), University of Genoa, Italy
January 2025: PhD in Applied Mathematics, TU Braunschweig
July 2020: MSc degree in Applied Mathematics, University of Pavia
September 2018: BSc degree in Mathematics, University of Pavia

"La sapienza è un bene comune e tutti sono chiamati a comunicarla agli altri, perchè la sua ricchezza non diminuisce ma aumenta quando è condivisa"

Ennio De Giorgi

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