An accelerated inexact Newton regularization scheme with a learned feature-selection rule for non-linear inverse problems

DOI10.1088/1361-6420/ad5e19zbMath1544.65095MaRDI QIDQ6581199

Ye Zhang, Haie Long, Guangyu Gao

Publication date: 30 July 2024

Published in: Inverse Problems (Search for Journal in Brave)

zbMATH Keywords

non-uniquenessill-posed inverse problemsinexact Newtonuniformly convex neural networkstwo-point gradientnon-stationary iterated Tikhonov regularization

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

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