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The group testing problem asks for efficient pooling schemes and algorithms that allow to screen moderately large numbers of samples for rare infections. The goal is to accurately identify the infected samples while conducting the least…

Artificial Intelligence · Computer Science 2021-05-19 AminCoja-Oghlan , Max Hahn-Klimroth , Philipp Loick , Manuel Penschuck

We analyze a new group testing scheme, termed semi-quantitative group testing, which may be viewed as a concatenation of an adder channel and a discrete quantizer. Our focus is on non-uniform quantizers with arbitrary thresholds. For the…

Information Theory · Computer Science 2015-06-26 Amin Emad , Olgica Milenkovic

We focus on designing error-correcting codes for the symmetric Gaussian broadcast channel with feedback. Feedback not only expands the capacity region of the broadcast channel but also enhances transmission reliability. In this work, we…

Information Theory · Computer Science 2025-03-04 Yingyao Zhou , Natasha Devroye

In network tomography, one goal is to identify a small set of failed links in a network, by sending a few packets through the network and seeing which reach their destination. This problem can be seen as a variant of combinatorial group…

Information Theory · Computer Science 2018-09-12 Bruce Spang , Mary Wootters

Collective action against algorithmic systems provides an opportunity for a small group of individuals to strategically manipulate their data to get specific outcomes, from classification to recommendation models. This effectiveness will…

Physics and Society · Physics 2025-11-20 Aditya Karan , Prabhat Kalle , Nicholas Vincent , Hari Sundaram

Motivated by testing for pathogenic diseases we consider a new nonadaptive group testing problem for which: (1) positives occur within a burst, capturing the fact that infected test subjects often come in clusters, and (2) that the test…

Information Theory · Computer Science 2023-04-05 Yun-Han Li , Ryan Gabrys , Jin Sima , Ilan Shomorony , Olgica Milenkovic

Group testing (GT) is the Boolean version of spare signal recovery and, due to its simplicity, a marketplace for ideas that can be brought to bear upon related problems, such as heavy hitters, compressed sensing, and multiple access…

Information Theory · Computer Science 2024-04-08 Venkatesan Guruswami , Hsin-Po Wang

In this paper, we consider the problem of noiseless non-adaptive group testing under the for-each recovery guarantee, also known as probabilistic group testing. In the case of $n$ items and $k$ defectives, we provide an algorithm attaining…

Information Theory · Computer Science 2020-06-19 Eric Price , Jonathan Scarlett

Recent papers initiated the study of a generalization of group testing where the potentially contaminated sets are the members of a given hypergraph F=(V,E). This generalization finds application in contexts where contaminations can be…

Data Structures and Algorithms · Computer Science 2024-07-02 Annalisa De Bonis

In epidemic or pandemic situations, resources for testing the infection status of individuals may be scarce. Although group testing can help to significantly increase testing capabilities, the (repeated) testing of entire populations can…

Populations and Evolution · Quantitative Biology 2021-10-29 Günther Koliander , Georg Pichler

We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model this problem via an adversarial noise, presenting a formal…

Information Theory · Computer Science 2022-05-31 Allison Beemer , Altan Berdan Kilic , Alberto Ravagnani

Identification of up to $d$ defective items and up to $h$ inhibitors in a set of $n$ items is the main task of non-adaptive group testing with inhibitors. To efficiently reduce the cost of this Herculean task, a subset of the $n$ items is…

Information Theory · Computer Science 2019-01-10 Thach V. Bui , Minoru Kuribayashi , Tetsuya Kojima , Isao Echizen

Detection of rare traits or diseases in a large population is challenging. Pool testing allows covering larger swathes of population at a reduced cost, while simplifying logistics. However, testing precision decreases as it becomes unclear…

Information Theory · Computer Science 2021-06-22 Éric Brier , Megi Dervishi , Rémi Géraud-Stewart , David Naccache , Ofer Yifrach-Stav

Background: Code review is a cognitively demanding and time-consuming process. Previous qualitative studies hinted at how decomposing change sets into multiple yet internally coherent ones would improve the reviewing process. So far,…

Software Engineering · Computer Science 2020-01-22 Marco di Biase , Magiel Bruntink , Arie van Deursen , Alberto Bacchelli

The emergence of nontrivial collective behavior in networks of coupled chaotic maps is investigated by means of a nonlinear mutual prediction method. The resulting prediction error is used to measure the amount of information that a local…

Chaotic Dynamics · Physics 2009-11-07 L. Cisneros , J. Jimenez , M. G. Cosenza , A. Parravano

The design of codes for communicating reliably over a statistically well defined channel is an important endeavor involving deep mathematical research and wide-ranging practical applications. In this work, we present the first family of…

Machine Learning · Computer Science 2018-07-03 Hyeji Kim , Yihan Jiang , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

We consider the group testing problem, in which one seeks to identify a subset of defective items within a larger set of items based on a number of noisy tests. While matching achievability and converse bounds are known in several cases of…

Information Theory · Computer Science 2016-04-05 Jonathan Scarlett , Volkan Cevher

The notion that cooperation can aid a group of agents to solve problems more efficiently than if those agents worked in isolation is prevalent, despite the little quantitative groundwork to support it. Here we consider a primordial form of…

Adaptation and Self-Organizing Systems · Physics 2014-10-22 José F. Fontanari

Group recommendation aims to recommend tailored items to groups of users, where the key challenge is modeling a consensus that reflects member preferences. Although several existing deep learning models have achieved performance…

Information Retrieval · Computer Science 2026-02-27 Soyoung Kim , Dongjun Lee , Jaekwang Kim

The optimal exponential error rate for adaptive discrimination of two channels is discussed. In this problem, adaptive choice of input signal is allowed. This problem is discussed in various settings. It is proved that adaptive choice does…

Quantum Physics · Physics 2011-06-24 Masahito Hayashi