Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian M-ary Hypothesis Testing: The Meta-Converse and Verd\'u-Han
  Bounds are Tight   Two alternative exact characterizations of the minimum error probability of
Bayesian M-ary hypothesis testing are derived. The first expression corresponds
to the error probability of an induced binary hypothesis test and implies the
tightness of the meta-converse bound by Polyanskiy, Poor and Verd\'u; the
second expression is function of an information-spectrum measure and implies
the tightness of a generalized Verd\'u-Han lower bound. The formulas
characterize the minimum error probability of several problems in information
theory and help to identify the steps where existing converse bounds are loose.

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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph