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In the context of a pandemic like COVID-19, and until most people are vaccinated, proactive testing and interventions have been proved to be the only means to contain the disease spread. Recent academic work has offered significant evidence…

We propose a novel infection spread model based on a random connection graph which represents connections between $n$ individuals. Infection spreads via connections between individuals and this results in a probabilistic cluster formation…

Information Theory · Computer Science 2022-03-30 Batuhan Arasli , Sennur Ulukus

In this paper, we propose algorithms that leverage a known community structure to make group testing more efficient. We consider a population organized in disjoint communities: each individual participates in a community, and its infection…

Information Theory · Computer Science 2021-03-18 Pavlos Nikolopoulos , Tao Guo , Sundara Rajan Srinivasavaradhan , Christina Fragouli , Suhas Diggavi

In this paper we extend our previous work on the stochastic block model, a commonly used generative model for social and biological networks, and the problem of inferring functional groups or communities from the topology of the network. We…

Statistical Mechanics · Physics 2013-05-09 Aurelien Decelle , Florent Krzakala , Cristopher Moore , Lenka Zdeborová

We consider the problem of identifying infected individuals in a population of size N. We introduce a group testing approach that uses significantly fewer than N tests when infection prevalence is low. The most common approach to group…

Applications · Statistics 2022-01-03 Paolo Bertolotti , Ali Jadbabaie

In this paper, we propose algorithms that leverage a known community structure to make group testing more efficient. We consider a population organized in connected communities: each individual participates in one or more communities, and…

Information Theory · Computer Science 2021-03-18 Pavlos Nikolopoulos , Sundara Rajan Srinivasavaradhan , Tao Guo , Christina Fragouli , Suhas Diggavi

When the infection prevalence of a disease is low, Dorfman showed 80 years ago that testing groups of people can prove more efficient than testing people individually. Our goal in this paper is to propose new group testing algorithms that…

Methodology · Statistics 2020-07-23 Marco Cuturi , Olivier Teboul , Quentin Berthet , Arnaud Doucet , Jean-Philippe Vert

Accurate detection of infected individuals is one of the critical steps in stopping any pandemic. When the underlying infection rate of the disease is low, testing people in groups, instead of testing each individual in the population, can…

Group testing has recently attracted significant attention from the research community due to its applications in diagnostic virology. An instance of the group testing problem includes a ground set of individuals which includes a small…

Information Theory · Computer Science 2022-02-25 Esmaeil Karimi , Anoosheh Heidarzadeh , Krishna R. Narayanan , Alex Sprintson

Motivated by multi-subject experiments in neuroimaging studies, we develop a modeling framework for joint community detection in a group of related networks, which can be considered as a sample from a population of networks. The proposed…

Applications · Statistics 2020-03-24 Subhadeep Paul , Yuguo Chen

Group testing enables to identify infected individuals in a population using a smaller number of tests than individual testing. To achieve this, group testing algorithms commonly assume knowledge of the number of infected individuals;…

Information Theory · Computer Science 2023-05-16 Chaorui Yao , Pavlos Nikolopoulos , Christina Fragouli

Detection of defective members of large populations has been widely studied in the statistics community under the name "group testing", a problem which dates back to World War II when it was suggested for syphilis screening. There the main…

Information Theory · Computer Science 2009-09-28 Mahdi Cheraghchi , Ali Hormati , Amin Karbasi , Martin Vetterli

In this work, we consider the sparsity-constrained community-based group testing problem, where the population follows a community structure. In particular, the community consists of $F$ families, each with $M$ members. A number $k_f$ out…

Information Theory · Computer Science 2024-03-20 Sarthak Jain , Martina Cardone , Soheil Mohajer

Community detection in multi-layer networks is a fundamental task in complex network analysis across various areas like social, biological, and computer sciences. However, most existing algorithms assume that the number of communities is…

Methodology · Statistics 2026-02-26 Huan Qing

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

Methodology · Statistics 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

Physics and Society · Physics 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

In the group testing problem we aim to identify a small number of infected individuals within a large population. We avail ourselves to a procedure that can test a group of multiple individuals, with the test result coming out positive iff…

Discrete Mathematics · Computer Science 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick

The stochastic block model is one of the most studied network models for community detection. It is well-known that most algorithms proposed for fitting the stochastic block model likelihood function cannot scale to large-scale networks.…

Methodology · Statistics 2021-08-31 Jiangzhou Wang , Jingfei Zhang , Binghui Liu , Ji Zhu , Jianhua Guo

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

Social and Information Networks · Computer Science 2014-02-20 Se-Young Yun , Alexandre Proutiere

In the group testing problem the aim is to identify a small set of $k\sim n^\theta$ infected individuals out of a population size $n$, $0<\theta<1$. We avail ourselves of a test procedure capable of testing groups of individuals, with the…

Discrete Mathematics · Computer Science 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick
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