Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean field variational framework for integer optimization   A principled method to obtain approximate solutions of general constrained
integer optimization problems is introduced. The approach is based on the
calculation of a mean field probability distribution for the decision variables
which is consistent with the objective function and the constraints. The
original discrete task is in this way transformed into a continuous variational
problem. In the context of particular problem classes at small and medium
sizes, the mean field results are comparable to those of standard specialized
methods, while at large sized instances is capable to find feasible solutions
in computation times for which standard approaches can't find any valuable
result. The mean field variational framework remains valid for widely diverse
problem structures so it represents a promising paradigm for large dimensional
nonlinear combinatorial optimization tasks.

25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int