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Addendum on data driven regularization by projection

Published 11 Aug 2025 in math.NA and cs.NA | (2508.07709v1)

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.

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