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20132021
most citedTikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales

41 citations · 67 across the 9 of their papers we have counts for

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math.NA2020★ 4 cited

Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles

Bernd Hofmann, Christopher Hofmann, Peter Mathé +1

The analysis of Tikhonov regularization for nonlinear ill-posed equations with smoothness promoting penalties is an important topic in inverse problem theory. With focus on Hilbert…

math.ST2020★ 4 cited

Inverse learning in Hilbert scales

Abhishake Rastogi, Peter Mathé

We study the linear ill-posed inverse problem with noisy data in the statistical learning setting. Approximate reconstructions from random noisy data are sought with general regula…