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Signal detection for inverse problems in a multidimensional framework

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Abstract

This paper is devoted to multidimensional inverse problems. In this setting, we address the goodness-of-fit testing problem. We investigate the separation rates associated with different kinds of smoothness assumptions and different degrees of ill-posedness.

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Authors and Affiliations

  1. Inst. Math. de Toulouse, INSA de Toulouse, Univ. de Toulouse, Toulouse, France

    B. Laurent & C. Marteau

Authors
  1. Yu. Ingster
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  2. B. Laurent
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  3. C. Marteau
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Corresponding author

Correspondence to B. Laurent.

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Ingster, Y., Laurent, B. & Marteau, C. Signal detection for inverse problems in a multidimensional framework. Math. Meth. Stat. 23, 279–305 (2014). https://doi.org/10.3103/S1066530714040036

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  • DOI: https://doi.org/10.3103/S1066530714040036

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