Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Multiresolution Estimation for Variational Imaging: With an
  Application in Poisson-Biophotonics   In this paper we present a spatially-adaptive method for image reconstruction
that is based on the concept of statistical multiresolution estimation as
introduced in [Frick K, Marnitz P, and Munk A. "Statistical multiresolution
Dantzig estimation in imaging: Fundamental concepts and algorithmic framework".
Electron. J. Stat., 6:231-268, 2012]. It constitutes a variational
regularization technique that uses an supremum-type distance measure as
data-fidelity combined with a convex cost functional. The resulting convex
optimization problem is approached by a combination of an inexact alternating
direction method of multipliers and Dykstra's projection algorithm. We describe
a novel method for balancing data-fit and regularity that is fully automatic
and allows for a sound statistical interpretation. The performance of our
estimation approach is studied for various problems in imaging. Among others,
this includes deconvolution problems that arise in Poisson nanoscale
fluorescence microscopy.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph