Foto del docente

Luca Ratti

Junior assistant professor (fixed-term)

Department of Mathematics

Academic discipline: MAT/08 Numerical Analysis

Publications

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 [Scientific article]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 [Scientific article]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 [Scientific article]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 [Scientific article]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) [Contribution to conference proceedings]

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 [Scientific article]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 [Scientific article]Open Access

Ratti L; Verani M, A posteriori error estimates for the monodomain model in cardiac electrophysiology, «CALCOLO», 2019, 56, pp. 1 - 33 [Scientific article]

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 [Scientific article]

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 [Scientific article]

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 [Scientific article]

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