Ratti, Luca, Learned reconstruction methods for inverse problems: sample error estimates, in: Data-driven Models in Inverse Problems, Berlin, De Gruyter, 2025, pp. 163 - 200 [capitolo di libro]
Fest, Jean-Baptiste; Heikkilä, Tommi; Loris, Ignace; Martin, Ségolène; Ratti, Luca; Rebegoldi, Simone; Sarnighausen, Gesa, On a Fixed-Point Continuation Method for a Convex Optimization Problem, in: Advanced Techniques in Optimization for Machine Learning and Imaging, Singapore, Springer, 2024, pp. 15 - 30 (SPRINGER INDAM SERIES) [capitolo di libro]
Lazzaro, D.; Morigi, S.; Ratti, L., Oracle-Net for Nonlinear Compressed Sensing in Electrical Impedance Tomography Reconstruction Problems, «JOURNAL OF SCIENTIFIC COMPUTING», 2024, 101, Article number: 49, pp. 1 - 29 [articolo]Open Access
Benning M.; Bubba T.A.; Ratti L.; Riccio D., Trust your source: quantifying source condition elements for variational regularisation methods, «IMA JOURNAL OF APPLIED MATHEMATICS», 2024, 89, pp. 12 - 43 [articolo]Open Access
Bubba T.A.; Burger M.; Helin T.; Ratti L., CONVEX REGULARIZATION IN STATISTICAL INVERSE LEARNING PROBLEMS, «INVERSE PROBLEMS AND IMAGING», 2023, 17, pp. 1193 - 1225 [articolo]Open Access
Beretta E.; Cerutti M.C.; Pierotti D.; Ratti L., On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology, «ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS», 2023, 29, Article number: 36, pp. 1 - 33 [articolo]Open Access
Bubba T.A.; Ratti L., Shearlet-based regularization in statistical inverse learning with an application to x-ray tomography, «INVERSE PROBLEMS», 2022, 38, Article number: 054001, pp. 1 - 43 [articolo]Open Access
Bubba T.A.; Galinier M.; Lassas M.; Prato M.; Ratti L.; Siltanen S., Deep Neural Networks for Inverse Problems with Pseudodifferential Operators: An Application to Limited-Angle Tomography, «SIAM JOURNAL ON IMAGING SCIENCES», 2021, 14, pp. 470 - 505 [articolo]Open Access
Alberti G.; Lassas M.; De Vito E.; Ratti L.; Santacesaria M., Learning the optimal Tikhonov regularizer for inverse problems, in: Advances in Neural Information Processing Systems, Neural information processing systems foundation, 2021, pp. 25205 - 25216 (atti di: 35th Conference on Neural Information Processing Systems, NeurIPS 2021, Virtual, 2021) [Contributo in Atti di convegno]
Cerutti M. C.; Beretta E.; Ratti L., Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary data, «MATHEMATICS IN ENGINEERING», 2021, 3, pp. 1 - 10 [articolo]Open Access
Beretta, E; Cavaterra, C; Ratti, L, On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements*, «NONLINEARITY», 2020, 33, pp. 5659 - 5685 [articolo]Open Access
Ratti L; Verani M, A posteriori error estimates for the monodomain model in cardiac electrophysiology, «CALCOLO», 2019, 56, pp. 1 - 33 [articolo]
E. Beretta; L. Ratti; M. Verani, Detection of conductivity inclusions in a semilinear elliptic problem arising from cardiac electrophysiology, «COMMUNICATIONS IN MATHEMATICAL SCIENCES», 2018, 16, pp. 1975 - 2002 [articolo]
BERETTA E; MANZONI A; RATTI L, A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem, «INVERSE PROBLEMS», 2017, 33, pp. 035010 - 035010 [articolo]
Beretta, Elena; Cavaterra, Cecilia; Cerutti, M Cristina; Manzoni, Andrea; Ratti, Luca, An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology, «INVERSE PROBLEMS», 2017, 33, Article number: 105008, pp. 105008 - 105039 [articolo]