Signal detection for inverse problems in a multidimensional framework
  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. 
Yuri I. Ingster (LETI), B\'eatrice Laurent (IMT, INSA Toulouse),   Cl\'ement Marteau (IMT)
math.ST stat.TH