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Luca Ratti
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Cited by
Year
Learning the optimal Tikhonov regularizer for inverse problems
GS Alberti, E De Vito, M Lassas, L Ratti, M Santacesaria
Advances in Neural Information Processing Systems 34, 25205-25216, 2021
272021
Deep neural networks for inverse problems with pseudodifferential operators: An application to limited-angle tomography
TA Bubba, M Galinier, M Lassas, M Prato, L Ratti, S Siltanen
Society for Industrial and Applied Mathematics 14 (2), 470-505, 2021
222021
A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem
E Beretta, A Manzoni, L Ratti
Inverse Problems 33 (3), 035010, 2017
212017
Detection of conductivity inclusions in a semilinear elliptic problem arising from cardiac electrophysiology
E Beretta, L Ratti, M Verani
Communications in Mathematical Sciences 16, 1975-2002, 2018
16*2018
An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology
E Beretta, C Cavaterra, MC Cerutti, A Manzoni, L Ratti
Inverse Problems 33 (10), 105008, 2017
132017
A posteriori error estimates for the monodomain model in cardiac electrophysiology
L Ratti, M Verani
Calcolo 56 (3), 33, 2019
62019
Convex regularization in statistical inverse learning problems
TA Bubba, M Burger, T Helin, L Ratti
arXiv preprint arXiv:2102.09526, 2021
52021
On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements
E Beretta, C Cavaterra, L Ratti
Nonlinearity 33 (11), 5659, 2020
42020
On the reconstruction of cavities in a nonlinear model arising from cardiac electrophysiology
E Beretta, MC Cerutti, D Pierotti, L Ratti
ESAIM: Control, Optimisation and Calculus of Variations 29, 36, 2023
32023
Shearlet-based regularization in statistical inverse learning with an application to x-ray tomography
TA Bubba, L Ratti
Inverse Problems 38 (5), 054001, 2022
32022
On the determination of discontinuous coefficients in semilinear elliptic and parabolic boundary value problems arising in cardiac electrophysiology
L Ratti
Politecnico di Milano, Italy, 2019
22019
Trust your source: quantifying source condition elements for variational regularisation methods
M Benning, TA Bubba, L Ratti, D Riccio
arXiv preprint arXiv:2303.00696, 2023
12023
Learning a Gaussian Mixture for Sparsity Regularization in Inverse Problems
GS Alberti, L Ratti, M Santacesaria, S Sciutto
arXiv preprint arXiv:2401.16612, 2024
2024
Learned reconstruction methods for inverse problems: sample error estimates
L Ratti
arXiv preprint arXiv:2312.14078, 2023
2023
On a fixed-point continuation method for a convex optimization problem
JB Fest, T Heikkilä, I Loris, S Martin, L Ratti, S Rebegoldi, G Sarnighausen
arXiv preprint arXiv:2212.12256, 2022
2022
Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary data
E Beretta, MC Cerutti, L Ratti
Mathematics in Engineering 3 (1), 1, 2020
2020
Un algoritmo di ricostruzione per la soluzione di un problema inverso al contorno per un'equazione ellittica semilineare
L Ratti
Politecnico di Milano, Italy, 2015
2015
Advanced Programming for Scientific Computing
L Ratti, N Parolini, M Verani
2015
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Articles 1–18