Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Nishimori line and Bayesian Statistics   ``Nishimori line'' is a line or hypersurface in the parameter space of
systems with quenched disorder, where simple expressions of the averages of
physical quantities over the quenched random variables are obtained. It has
been playing an important role in the theoretical studies of the random
frustrated systems since its discovery around 1980. In this paper, a novel
interpretation of the Nishimori line from the viewpoint of statistical
information processing is presented. Our main aim is the reconstruction of the
whole theory of the Nishimori line from the viewpoint of Bayesian statistics,
or, almost equivalently, from the viewpoint of the theory of error-correcting
codes. As a byproduct of our interpretation, counterparts of the Nishimori line
in models without gauge invariance are given. We also discussed the issues on
the ``finite temperature decoding'' of error-correcting codes in connection
with our theme and clarify the role of gauge invariance in this topic.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ