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math.AP2019
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
math.NA2019★ 22 cited
Data driven regularization by projection
Andrea Aspri, Yury Korolev, Otmar Scherzer
We study linear inverse problems under the premise that the forward operator is not at hand but given indirectly through some input-output training pairs. We demonstrate that regul…