431 citations
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math.NA2020★ 6 cited
Regularising linear inverse problems under unknown non-Gaussian white noise allowing repeated measurements
Bastian Harrach, Tim Jahn, Roland Potthast
We deal with the solution of a generic linear inverse problem in the Hilbert space setting. The exact right hand side is unknown and only accessible through discretised measurement…
math.NA2018★ 24 cited
Beyond the Bakushinskii veto: Regularising linear inverse problems without knowing the noise distribution
Bastian Harrach, Tim Jahn, Roland Potthast
This article deals with the solution of linear ill-posed equations in Hilbert spaces. Often, one only has a corrupted measurement of the right hand side at hand and the Bakushinski…