Estimation and detection of functions from anisotropic Sobolev classes
Estimation and detection of functions from anisotropic Sobolev classes
We consider the problems of estimating and detecting an unknown function f depending on a multidimensional variable (for instance, an image) observed in the Gaussian white noise. It is assumed that f belongs to anisotropic Sobolev class. The case of a function of infinitely many variables is also considered. An …