English

Complexity regularization for nonlinear inverse problems

Statistics Theory 2007-06-13 v1 Statistics Theory

Abstract

We provide estimators for a large class of inverse problems, including nonlinear inverse problems. Using complexity regularization technics we provide adaptive estimators achieving the best rate over the collection of models.

Keywords

Cite

@article{arxiv.math/0502033,
  title  = {Complexity regularization for nonlinear inverse problems},
  author = {Jean Michel Loubes and Ludeña Carenne},
  journal= {arXiv preprint arXiv:math/0502033},
  year   = {2007}
}