Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Multiresolution Dantzig Estimation in Imaging: Fundamental
  Concepts and Algorithmic Framework   In this paper we are concerned with fully automatic and locally adaptive
estimation of functions in a "signal + noise"-model where the regression
function may additionally be blurred by a linear operator, e.g. by a
convolution. To this end, we introduce a general class of statistical
multiresolution estimators and develop an algorithmic framework for computing
those. By this we mean estimators that are defined as solutions of convex
optimization problems with supremum-type constraints. We employ a combination
of the alternating direction method of multipliers with Dykstra's algorithm for
computing orthogonal projections onto intersections of convex sets and prove
numerical convergence. The capability of the proposed method is illustrated by
various examples from imaging and signal detection.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc