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Group Testing with Side Information via Generalized Approximate Message Passing

Signal Processing 2023-07-19 v2 Information Theory math.IT

Abstract

Group testing can help maintain a widespread testing program using fewer resources amid a pandemic. In a group testing setup, we are given n samples, one per individual. Each individual is either infected or uninfected. These samples are arranged into m < n pooled samples, where each pool is obtained by mixing a subset of the n individual samples. Infected individuals are then identified using a group testing algorithm. In this paper, we incorporate side information (SI) collected from contact tracing (CT) into nonadaptive/single-stage group testing algorithms. We generate different types of possible CT SI data by incorporating different possible characteristics of the spread of disease. These data are fed into a group testing framework based on generalized approximate message passing (GAMP). Numerical results show that our GAMP-based algorithms provide improved accuracy.

Cite

@article{arxiv.2211.03731,
  title  = {Group Testing with Side Information via Generalized Approximate Message Passing},
  author = {Shu-Jie Cao and Ritesh Goenka and Chau-Wai Wong and Ajit Rajwade and Dror Baron},
  journal= {arXiv preprint arXiv:2211.03731},
  year   = {2023}
}

Comments

To appear in IEEE Trans. Signal Processing. arXiv admin note: substantial text overlap with arXiv:2106.02699, arXiv:2011.14186

R2 v1 2026-06-28T05:21:11.322Z