Signal detection for inverse problems in a multidimensional framework

2014/02/19 by Yuri I. Ingster, Ingster, Yuri I., Béatrice Laurent +3
Engineering · Mathematics · #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1402.4773

arxiv created 2014/02/19 · arxiv updated 2014/02/20

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.

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