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COVID-19 testing, the cornerstone for effective screening and identification of COVID-19 cases, remains paramount as an intervention tool to curb the spread of COVID-19 both at local and national levels. However, the speed at which the…

This work focuses on non-adaptive combinatorial group testing, with a primary goal of efficiently identifying a set of at most $d$ defective elements among a given set of $n$ elements using the fewest possible tests. Non-adaptive…

Information Theory · Computer Science 2026-04-28 Daniil Goshkoder , Nikita Polyanskii , Ilya Vorobyev

Matrix multiplication is a fundamental building block for large scale computations arising in various applications, including machine learning. There has been significant recent interest in using coding to speed up distributed matrix…

Information Theory · Computer Science 2019-05-17 Wei-Ting Chang , Ravi Tandon

This work addresses approximate nearest neighbor search applied in the domain of large-scale image retrieval. Within the group testing framework we propose an efficient off-line construction of the search structures. The linear-time…

Computer Vision and Pattern Recognition · Computer Science 2018-09-21 Ahmet Iscen , Ondrej Chum

In group testing, the task is to determine the distinguished members of a set of objects L by asking subset queries of the form ``does the subset Q of L contain a distinguished object?'' The primary biological application of group testing…

Combinatorics · Mathematics 2008-02-03 Emanuel Knill , S. Muthukrishnan

This paper is a short extension of our previous paper [arXiv:2004.06033] about the use of the Test-Negative design to study risk factors for COVID-19 [See: PubMed and ArXiv reference below] Reason for the extension is that the conditions…

Populations and Evolution · Quantitative Biology 2021-06-08 Jan P Vandenbroucke , Elizabeth B Brickley , Christina M. J. E. Vandenbroucke-Grauls , Neil Pearce

We consider a zero-error probabilistic group testing problem where individuals are defective independently but not with identical probabilities. We propose a greedy set formation method to build sets of individuals to be tested together. We…

Information Theory · Computer Science 2021-08-30 Mustafa Doger , Sennur Ulukus

The Coronavirus Disease 2019 (COVID-19) pandemic has impacted many aspects of life globally, and a critical factor in mitigating its effects is screening individuals for infections, thereby allowing for both proper treatment for those…

Image and Video Processing · Electrical Eng. & Systems 2021-08-09 Alexander MacLean , Saad Abbasi , Ashkan Ebadi , Andy Zhao , Maya Pavlova , Hayden Gunraj , Pengcheng Xi , Sonny Kohli , Alexander Wong

Objectives: To provide an overall quality assessment of the methods used for COVID-19-related studies using propensity score matching (PSM). Study Design and Setting: A systematic search was conducted in June 2021 on PubMed to identify…

Other Quantitative Biology · Quantitative Biology 2024-03-13 Chunhui Gu , Ruosha Li , Guoqiang Zhang

In this paper, we provide insights on how much testing and social distancing is required to control COVID-19. To this end, we develop a compartmental model that accounts for key aspects of the disease: 1) incubation time, 2) age-dependent…

Optimization and Control · Mathematics 2020-11-04 Sara Grundel , Stefan Heyder , Thomas Hotz , Tobias K. S. Ritschel , Philipp Sauerteig , Karl Worthmann

The goal of this paper is to introduce pooling strategies for simplicial convolutional neural networks. Inspired by graph pooling methods, we introduce a general formulation for a simplicial pooling layer that performs: i) local aggregation…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Domenico Mattia Cinque , Claudio Battiloro , Paolo Di Lorenzo

The Reverse Transcription Polymerase Chain Reaction (RTPCR)} test is the silver bullet diagnostic test to discern COVID infection. Rapid antigen detection is a screening test to identify COVID positive patients in little as 15 minutes, but…

Machine Learning · Computer Science 2023-05-10 Md. Mohsin Sarker Raihan , Md. Mohi Uddin Khan , Laboni Akter , Abdullah Bin Shams

Group testing with inhibitors (GTI) introduced by Farach at al. is studied in this paper. There are three types of items, $d$ defectives, $r$ inhibitors and $n-d-r$ normal items in a population of $n$ items. The presence of any inhibitor in…

Information Theory · Computer Science 2014-12-16 Abhinav Ganesan , Javad Ebrahimi , Sidharth Jaggi , Venkatesh Saligrama

When testing for infections, the standard method is to test each subject individually. If testing methodology is such that samples from multiple subjects can be efficiently combined and tested at once, yielding a positive results if any one…

Methodology · Statistics 2020-04-01 Anže Slosar

In this paper, we compare and evaluate different testing protocols used for automatic COVID-19 diagnosis from X-Ray images in the recent literature. We show that similar results can be obtained using X-Ray images that do not contain most of…

Image and Video Processing · Electrical Eng. & Systems 2020-09-22 Gianluca Maguolo , Loris Nanni

Group testing is the combinatorial problem of identifying the defective items in a population by grouping items into test pools. Recently, nonadaptive group testing - where all the test pools must be decided on at the start - has been…

Information Theory · Computer Science 2013-01-31 Matthew Aldridge

The outbreak of the COVID-19 (Coronavirus disease 2019) pandemic has changed the world. According to the World Health Organization (WHO), there have been more than 100 million confirmed cases of COVID-19, including more than 2.4 million…

In 2019, the world faced a new challenge: a COVID-19 disease caused by the novel coronavirus, SARS-CoV-2. The virus rapidly spread across the globe, leading to a high rate of mortality, which prompted health organizations to take measures…

Image and Video Processing · Electrical Eng. & Systems 2024-08-08 Kavian Khanjani , Seyed Rasoul Hosseini , Hamid Taheri , Shahrzad Shashaani , Mohammad Teshnehlab

We propose a novel group testing method, termed semi-quantitative group testing, motivated by a class of problems arising in genome screening experiments. Semi-quantitative group testing (SQGT) is a (possibly) non-binary pooling scheme that…

Information Theory · Computer Science 2015-05-28 Amin Emad , Olgica Milenkovic

Graph pooling has gained attention for its ability to obtain effective node and graph representations for various downstream tasks. Despite the recent surge in graph pooling approaches, there is a lack of standardized experimental settings…

Machine Learning · Computer Science 2026-04-03 Pengyun Wang , Junyu Luo , Yanxin Shen , Ming Zhang , Shaoen Qin , Hanwen Xing , Siyu Heng , Xiao Luo