Signal detection for inverse problems in a multidimensional framework
Statistics Theory
2014-02-20 v1 Statistics Theory
Abstract
This paper is devoted to multi-dimensional inverse problems. In this setting, we address a goodness-of-fit testing problem. We investigate the separation rates associated to different kinds of smoothness assumptions and different degrees of ill-posedness.
Cite
@article{arxiv.1402.4773,
title = {Signal detection for inverse problems in a multidimensional framework},
author = {Yuri I. Ingster and Béatrice Laurent and Clément Marteau},
journal= {arXiv preprint arXiv:1402.4773},
year = {2014}
}