Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimax adaptive wavelet estimator for the anisotropic functional
  deconvolution model with unknown kernel   In the present paper, we consider the estimation of a periodic
two-dimensional function $f(\cdot,\cdot)$ based on observations from its noisy
convolution, and convolution kernel $g(\cdot,\cdot)$ unknown. We derive the
minimax lower bounds for the mean squared error assuming that $f$ belongs to
certain Besov space and the kernel function $g$ satisfies some smoothness
properties. We construct an adaptive hard-thresholding wavelet estimator that
is asymptotically near-optimal within a logarithmic factor in a wide range of
Besov balls. The proposed estimation algorithm implements a truncation to
estimate the wavelet coefficients, in addition to the conventional
hard-thresholds. A limited simulations study confirms theoretical claims of the
paper.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th