English

Parameter Choice by Fast Balancing

Numerical Analysis 2010-08-04 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1008.0620,
  title  = {Parameter Choice by Fast Balancing},
  author = {Frank Bauer},
  journal= {arXiv preprint arXiv:1008.0620},
  year   = {2010}
}
R2 v1 2026-06-21T15:56:34.393Z