Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential Family Models from Bayes' Theorem under Expectation
  Constraints   It is shown that a consistent application of Bayesian updating from a prior
probability density to a posterior using evidence in the form of expectation
constraints leads to exactly the same results as the application of the maximum
entropy principle, namely a posterior belonging to the exponential family. The
Bayesian updating procedure presented in this work is not expressed as a
variational principle, and does not involve the concept of entropy. Therefore
it conceptually constitutes a complete alternative to entropic methods of
inference.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an