Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Pair of Primal Dual Algorithms for Bregman Iterated Variational
  Regularization   Primal-dual splitting involving proximity operators in order to be able to
find some approximation to the minimizer for a general form of Tikhonov type
functional is in the focus of this work. This approximation is produced by a
pair of iterative variational regularization procedures.
  Under the assumption of some variational source condition (VSC), total error
estimation both in the iterative sense and in the continuous sense has been
analysed separately. Rates of convergence will be obtained in terms some
concave and positive definite index function. Of the choice of the penalty
term, we are interested in Bregman distance penalization associated with the
non-smooth total variation (TV) functional. Furthermore, following up the lower
and bounds defined for the regularization parameter, some deterministic choice
of the regularization parameter is given explicitly. It is in the emphasis of
this work that the regularization parameter obeys Morozov`s discrepancy
principle (MDP) in order for the stability analysis of regularized solution.
  In the computerized environment, the algorithms are verified as iterative
regularization methods by applying it to an atmospheric tomography problem
named as GPS-Tomography. Apart from this 3-D tomographic inverse problem, we
also apply the algorithms to some 2-D conventional tomographic image
reconstruction problems in order to be able test algorithms` capability of
capturing the details and observe that algorithms behave as iterative
regularization procedures.

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The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int