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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

The motivation for this paper comes from the ongoing SARS-CoV-2 Pandemic. Its goal is to present a previously neglected approach to non-adaptive group testing and describes it in terms of residuated pairs on partially ordered sets. Our…

Other Statistics · Statistics 2022-02-15 Marcus Greferath , Cornelia Roessing

In this paper, we derive mutual information based upper and lower bounds on the number of nonadaptive group tests required to identify a given number of "non defective" items from a large population containing a small number of "defective"…

Information Theory · Computer Science 2016-03-01 Abhay Sharma , Chandra R. Murthy

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

In this paper, Decentralized Periodic Approach for Adaptive Fault Diagnosis (DP-AFD) algorithm is proposed for fault diagnosis in distributed systems with arbitrary topology. Faulty nodes may be either unresponsive, may have either software…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-20 Latika Sarna , Sumedha Shenolikar , Poorva Kulkarni , Varsha Deshpande , Supriya Kelkar

Chemical multisensor devices need calibration algorithms to estimate gas concentrations. Their possible adoption as indicative air quality measurements devices poses new challenges due to the need to operate in continuous monitoring modes…

Artificial Intelligence · Computer Science 2020-02-14 S. De Vito , E. Esposito , M. Salvato , O. Popoola , F. Formisano , R. Jones , G. Di Francia

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Calvin Newport , Peter Robinson

Emerging communication networks are envisioned to support massive wireless connectivity of heterogeneous devices with sporadic traffic and diverse requirements in terms of latency, reliability, and bandwidth. Providing multiple access to an…

Information Theory · Computer Science 2023-04-19 Sajad Daei , Marios Kountouris

We consider the problem of constructing matched groups such that the resulting groups are statistically similar with respect to their average values for multiple covariates. This group-matching problem arises in many cases, including…

Methodology · Statistics 2021-10-12 Géza Kiss , Kyle Gorman , Jan P. H. van Santen

An agnostic PAC learning algorithm finds a predictor that is competitive with the best predictor in a benchmark hypothesis class, where competitiveness is measured with respect to a given loss function. However, its predictions might be…

Machine Learning · Computer Science 2021-05-24 Guy N Rothblum , Gal Yona

The main goal of group testing with inhibitors (GTI) is to efficiently identify a small number of defective items and inhibitor items in a large set of items. A test on a subset of items is positive if the subset satisfies some specific…

Information Theory · Computer Science 2019-02-12 Thach V. Bui , Minoru Kuribayashi , Mahdi Cheraghchi , Isao Echizen

This paper considers multiple binary hypothesis tests with adaptive allocation of sensing resources from a shared budget over a small number of stages. A Bayesian formulation is provided for the multistage allocation problem of minimizing…

Methodology · Statistics 2014-11-05 Dennis Wei

When a subgroup is identified from the data, it must be evaluated in a replicable way. The usual in-sample approach, which evaluates the post-hoc identified subgroup as predefined, might suffer from selection bias. This issue of in-sample…

Methodology · Statistics 2026-05-06 Shuoxun Xu , Xinzhou Guo

The problem of active diagnosis arises in several applications such as disease diagnosis, and fault diagnosis in computer networks, where the goal is to rapidly identify the binary states of a set of objects (e.g., faulty or working) by…

Machine Learning · Computer Science 2012-02-20 Gowtham Bellala , Jason Stanley , Clayton Scott , Suresh K. Bhavnani

We consider a distributed learning problem in a wireless network, consisting of N distributed edge devices and a parameter server (PS). The objective function is a sum of the edge devices' local loss functions, who aim to train a shared…

Machine Learning · Computer Science 2021-10-11 Raz Paul , Yuval Friedman , Kobi Cohen

A key step in separating signal from noise in time series by means of singular spectrum analysis (SSA) is grouping. We present a multiple testing method for the grouping step in SSA. As separability criterion, we utilize the weighted…

Methodology · Statistics 2025-08-26 Maryam Movahedifar , Friederike Preusse , Anna Vesely , Thorsten Dickhaus

We consider the problem of group testing (pooled testing), first introduced by Dorfman. For non-adaptive testing strategies, we refer to a non-defective item as `intruding' if it only appears in positive tests. Such items cause…

Probability · Mathematics 2023-09-19 Letian Yu , Fraser Daly , Oliver Johnson

Grant-free access is a key enabler for connecting wireless devices with low latency and low signaling overhead in massive machine-type communications (mMTC). For massive grant-free access, user-specific signatures are uniquely assigned to…

Information Theory · Computer Science 2024-02-06 Nam Yul Yu , Wei Yu

Random access is a multiple access communication protocol where the users simultaneously communicate with a base station (BS) in an uncoordinated fashion. In this work, we consider the problem of multiuser detection in a random access…

Information Theory · Computer Science 2016-07-15 Md Mashud Hyder

In this paper, we investigate the design of linear precoders for multiple-input multiple-output (MIMO) multiple access channels (MAC). We assume that statistical channel state information (CSI) is available at the transmitters and consider…

Information Theory · Computer Science 2014-01-22 Yongpeng Wu , Chao-Kai Wen , Chengshan Xiao , Xiqi Gao , Robert Schober