Addendum on data driven regularization by projection
Numerical Analysis
2025-08-12 v1 Numerical Analysis
Abstract
We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training pairs. We extend the approach in "Data driven regularization by projection" (Aspri, Korolev, and Scherzer; Inverse Problems; 36 (2020), 125009) to data pairs, which are noisy and, possibly, linearly dependent.
Keywords
Cite
@article{arxiv.2508.07709,
title = {Addendum on data driven regularization by projection},
author = {Martin Hanke and Otmar Scherzer},
journal= {arXiv preprint arXiv:2508.07709},
year = {2025}
}