Sample complexity for inverse problems in PDE

Project Information

SAMPDE

Grant agreement ID: 101041040

DOI

10.3030/101041040

EC signature date 29 April 2022

Start date 1 November 2022

End date 31 October 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 153 125,00

EU contribution

€ 1 153 125,00

Coordinated by

UNIVERSITA DEGLI STUDI DI GENOVA
Italy

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Publications

Peer reviewed articles (6)

Journal of the European Mathematical Society

Author(s): Giovanni S. Alberti; Alessandro Felisi; Matteo Santacesaria; S. Ivan Trapasso
Published in: Journal of the European Mathematical Society, 2025, ISSN 1435-9855
Publisher: European Mathematical Society
DOI: 10.48550/ARXIV.2302.03577

Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces

Author(s): Giovanni S. Alberti, Matteo Santacesaria, Silvia Sciutto
Published in: Numerical Functional Analysis and Optimization, Issue 46, 2024, ISSN 0163-0563
Publisher: Informa UK Limited
DOI: 10.1080/01630563.2024.2422064

SIAM Journal on Imaging Sciences

Author(s): Giovanni S. Alberti; Romain Petit; Matteo Santacesaria
Published in: SIAM Journal on Imaging Sciences, Issue Vol. 17, Iss. 3, 2024, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2402.00737

Manifold Learning by Mixture Models of VAEs for Inverse Problems

Author(s): Alberti, Giovanni S; Hertrich, Johannes; Santacesaria, Matteo; Sciutto, Silvia
Published in: Journal of Machine Learning Research, Issue 25(202):1−35, 2024, 2024, ISSN 1533-7928
Publisher: Microtome Publishing
DOI: 10.48550/ARXIV.2303.15244

Exact recovery of the support of piecewise constant images via total variation regularization

Author(s): Yohann De Castro; Vincent Duval; Romain Petit
Published in: Inverse Problems, Issue 40 105012, 2024, ISSN 1361-6420
Publisher: IOP
DOI: 10.48550/arxiv.2307.03709

Learning a Gaussian mixture for sparsity regularization in inverse problems

Author(s): Giovanni S Alberti, Luca Ratti, Matteo Santacesaria, Silvia Sciutto
Published in: IMA Journal of Numerical Analysis, 2025, ISSN 0272-4979
Publisher: Oxford University Press (OUP)
DOI: 10.1093/IMANUM/DRAF037