Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient implementable inexact entropic proximal point algorithm for
  a class of linear programming problems   We introduce a class of specially structured linear programming (LP)
problems, which has favorable modeling capability for important application
problems in different areas such as optimal transport, discrete tomography and
economics. To solve these generally large-scale LP problems efficiently, we
design an implementable inexact entropic proximal point algorithm (iEPPA)
combined with an easy-to-implement dual block coordinate descent method as a
subsolver. Unlike existing entropy-type proximal point algorithms, our iEPPA
employs a more practically checkable stopping condition for solving the
associated subproblems while achieving provable convergence. Moreover, when
solving the capacity constrained multi-marginal optimal transport (CMOT)
problem (a special case of our LP problem), our iEPPA is able to bypass the
underlying numerical instability issues that often appear in the popular
entropic regularization approach, since our algorithm does not require the
proximal parameter to be very small in order to obtain an accurate approximate
solution. Numerous numerical experiments show that our iEPPA is efficient and
robust for solving large-scale CMOT problems. The experiments on the discrete
tomography problem also highlight the potential modeling power of our model.

20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex