Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regionalized optimization   Yedidia, Freeman, Weiss have shown in their reference article, "Constructing
Free Energy Approximations and Generalized Belief Propagation Algorithms", that
there is a variational principle underlying the General Belief Propagation, by
introducing a region-based free energy approximation of the MaxEnt free energy,
that we will call the Generalized Bethe free energy. They sketched a proof that
fixed points of the General Belief Propagation are critical points of this free
energy, this proof was completed in the thesis of Peltre. In this paper we
identify a class of optimization problems defined as patching local
optimization problems and associated message passing algorithms for which such
correspondence between critical points and fix points of the algorithms holds.
This framework holds many applications one of which being a PCA for filtered
data and a region-based approximation of MaxEnT with stochastic compatibility
constraints on the region probabilities. Such approach is particularly adapted
for inference with multimodal integration, inference on scenes with multiple
views.

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The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys