Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Hypothesis Testing with Variable-Length Coding   The problem of distributed testing against independence with variable-length
coding is considered when the \emph{average} and not the \emph{maximum}
communication load is constrained as in previous works. The paper characterizes
the optimum type-II error exponent of a single sensor single decision center
system given a maximum type-I error probability when communication is either
over a noise-free rate-$R$ link or over a noisy discrete memoryless channel
(DMC) with stop-feedback. Specifically, let $\epsilon$ denote the maximum
allowed type-I error probability. Then the optimum exponent of the system with
a rate-$R$ link under a constraint on the average communication load coincides
with the optimum exponent of such a system with a rate $R/(1-\epsilon)$ link
under a maximum communication load constraint. A strong converse thus does not
hold under an average communication load constraint. A similar observation
holds also for testing against independence over DMCs. With variable-length
coding and stop-feedback and under an average communication load constraint,
the optimum type-II error exponent over a DMC of capacity $C$ equals the
optimum exponent under fixed-length coding and a maximum communication load
constraint when communication is over a DMC of capacity $C(1-\epsilon)^{-1}$.
In particular, under variable-length coding over a DMC with stop feedback a
strong converse result does not hold and the optimum error exponent depends on
the transition law of the DMC only through its capacity.

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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: adap-org