Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformed logarithms. Associated entropic divergences. Applications to
  linear inverse problems. Inversion algorithms   This work belongs to the framework of inverse problems with linear model. The
resolution of this type of problem consists in minimizing (possibly under
constraints) a function of discrepancy between the measurements and a physical
model of the considered phenomenon. We will here extend this study to
divergence functions based on forms of entropy developed in the field of
Statistical Physics. These various forms of entropy are based on "the deformed
algebra" [9] and in particularly on the notion of "Deformed Logarithm" [15][9].

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph