Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combination of Evidence Using the Principle of Minimum Information Gain   One of the most important aspects in any treatment of uncertain information
is the rule of combination for updating the degrees of uncertainty. The theory
of belief functions uses the Dempster rule to combine two belief functions
defined by independent bodies of evidence. However, with limited dependency
information about the accumulated belief the Dempster rule may lead to
unsatisfactory results. The present study suggests a method to determine the
accumulated belief based on the premise that the information gain from the
combination process should be minimum. This method provides a mechanism that is
equivalent to the Bayes rule when all the conditional probabilities are
available and to the Dempster rule when the normalization constant is equal to
one. The proposed principle of minimum information gain is shown to be
equivalent to the maximum entropy formalism, a special case of the principle of
minimum cross-entropy. The application of this principle results in a monotonic
increase in belief with accumulation of consistent evidence. The suggested
approach may provide a more reasonable criterion for identifying conflicts
among various bodies of evidence.

6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci