TY - UNPB
T1 - Data driven reconstruction using frames and Riesz bases
AU - Aspri, Andrea
AU - Frischauf, Leon
AU - Korolev, Yury
AU - Scherzer, Otmar
PY - 2021/3/9
Y1 - 2021/3/9
N2 - We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide an application of a projection algorithm, utilized and applied in frames theory, as a data driven reconstruction procedure in inverse problems, generalizing the algorithm proposed by the authors in Inverse Problems 36 (2020), n. 12, 125009, based on an orthonormalization procedure for the training pairs. We show some numerical experiments, comparing the different methods.
AB - We study the problem of regularization of inverse problems adopting a purely data driven approach, by using the similarity to the method of regularization by projection. We provide an application of a projection algorithm, utilized and applied in frames theory, as a data driven reconstruction procedure in inverse problems, generalizing the algorithm proposed by the authors in Inverse Problems 36 (2020), n. 12, 125009, based on an orthonormalization procedure for the training pairs. We show some numerical experiments, comparing the different methods.
KW - math.NA
KW - cs.NA
KW - 47A52, 65J20, 65J22, 65F22
M3 - Preprint
BT - Data driven reconstruction using frames and Riesz bases
ER -