Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational formulas for the power of the binary hypothesis testing
  problem with applications   Two variational formulas for the power of the binary hypothesis testing
problem are derived. The first is given as the Legendre transform of a certain
function and the second, induced from the first, is given in terms of the
Cumulative Distribution Function (CDF) of the log-likelihood ratio. One
application of the first formula is an upper bound on the power of the binary
hypothesis testing problem in terms of the Re'nyi divergence. The second
formula provide a general framework for proving asymptotic and non-asymptotic
expressions for the power of the test utilizing corresponding expressions for
the CDF of the log-likelihood. The framework is demonstrated in the central
limit regime (i.e., for non-vanishing type I error) and in the large deviations
regime.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int