math.NA · 2026-08-08 · No. 78
Numerical Analysis, 2026-08-08.
1 new papers in math.NA. Titles, authors,
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01 — The papers
1 entries-
01
A neural operator view on U-Nets for inverse imaging problems
Alexander Auras, Martin Burger, Samira Kabri, Michael Moeller, Michael Schopf-Kuester
math.NA · cs.LG
Deep neural networks have shown great empirical success in the solution of a wide variety of ill-posed inverse problems in imaging. Yet, very few works have studied their behavior in the limit that turns the discretized ill-conditioned problems into truly ill-posed ones, i.e., for an increasing resolution of the discretization. In this work, we review common approaches to neural operator learning in architectures that resemble a U-Net, one of...
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