Search Results for author: Luca Ratti

Found 5 papers, 2 papers with code

Learning a Gaussian Mixture for Sparsity Regularization in Inverse Problems

no code implementations29 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.

Dictionary Learning

Learned reconstruction methods for inverse problems: sample error estimates

no code implementations21 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.

Learning the optimal Tikhonov regularizer for 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 $x$.

Deblurring Denoising +1

Convex regularization in statistical inverse learning problems

no code implementations18 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.

Deep neural networks for inverse problems with pseudodifferential operators: an application to limited-angle tomography

1 code implementation2 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.

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