no code implementations • 29 Jan 2024 • Giovanni S. Alberti, Luca Ratti, Matteo Santacesaria, Silvia Sciutto
In inverse problems, it is widely recognized that the incorporation of a sparsity prior yields a regularization effect on the solution.
no code implementations • 21 Dec 2023 • Luca Ratti
Learning-based and data-driven techniques have recently become a subject of primary interest in the field of reconstruction and regularization of inverse problems.
1 code implementation • NeurIPS 2021 • Giovanni S. Alberti, Ernesto de Vito, Matti Lassas, Luca Ratti, Matteo Santacesaria
Then, we consider the problem of learning the regularizer from a finite training set in two different frameworks: one supervised, based on samples of both $x$ and $y$, and one unsupervised, based only on samples of $x$.
no code implementations • 18 Feb 2021 • Tatiana A. Bubba, Martin Burger, Tapio Helin, Luca Ratti
We consider a statistical inverse learning problem, where the task is to estimate a function $f$ based on noisy point evaluations of $Af$, where $A$ is a linear operator.
1 code implementation • 2 Jun 2020 • Tatiana A. Bubba, Mathilde Galinier, Matti Lassas, Marco Prato, Luca Ratti, Samuli Siltanen
We propose a novel convolutional neural network (CNN), called $\Psi$DONet, designed for learning pseudodifferential operators ($\Psi$DOs) in the context of linear inverse problems.