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math.FA2014★ 1 cited
Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
Roman Andreev, Peter Elbau, Maarten V. de Hoop +2
In recent years, a series of convergence rates conditions for regularization methods has been developed. Mainly, the motivations for developing novel conditions came from the desir…
math.FA2011★ 90 cited
Local Analysis of Inverse Problems: Hölder Stability and Iterative Reconstruction
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a…