Parameter Choice by Fast Balancing

Details Parameter Choice by Fast Balancing Parameter Choice by Fast Balancing

2010-08-03

arxiv.org/abs/1008.0620v1

Mathematics

Numerical Analysis

Scientific paper

Choosing the regularization parameter for inverse problems is of major importance for the performance of the regularization method. We will introduce a fast version of the Lepskij balancing principle and show that it is a valid parameter choice method for Tikhonov regularization both in a deterministic and a stochastic noise regime as long as minor conditions on the solution are fulfilled.

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