Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian inference of infected patients in group testing with prevalence
  estimation   Group testing is a method of identifying infected patients by performing
tests on a pool of specimens collected from patients. For the case in which the
test returns a false result with finite probability, we propose Bayesian
inference and a corresponding belief propagation (BP) algorithm to identify the
infected patients from the results of tests performed on the pool. We show that
the true-positive rate is improved by taking into account the credible interval
of a point estimate of each patient. Further, the prevalence and the error
probability in the test are estimated by combining an expectation-maximization
method with the BP algorithm. As another approach, we introduce a hierarchical
Bayes model to identify the infected patients and estimate the prevalence. By
comparing these methods, we formulate a guide for practical usage.

13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio