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In a \emph{group testing} scheme, a set of tests is designed to identify a small number $t$ of defective items among a large set (of size $N$) of items. In the non-adaptive scenario the set of tests has to be designed in one-shot. In this…

Information Theory · Computer Science 2013-08-27 Arya Mazumdar

Population-wide screening is a powerful tool for controlling infectious diseases. Group testing enables such screening despite limited resources. Viral concentration of pooled samples are often positively correlated, either because…

Applications · Statistics 2025-04-01 Jiayue Wan , Yujia Zhang , Peter I. Frazier

Parity compilation is the challenge of laying out the required constraints for the parity mapping in a local way. We present the first constructive compilation algorithm for the parity architecture using plaquettes for arbitrary…

Quantum Physics · Physics 2025-12-01 Roeland ter Hoeven , Benjamin E. Niehoff , Sagar Sudhir Kale , Wolfgang Lechner

The group testing problem consists of determining a sparse subset of defective items from within a larger set of items via a series of tests, where each test outcome indicates whether at least one defective item is included in the test. We…

Information Theory · Computer Science 2026-04-24 Daniel McMorrow , Jonathan Scarlett

Many highly reliable products are designed to function for years without failure. For such systems accelerated degradation testing may provide significance information about the reliability properties of the system. In this paper, we…

Applications · Statistics 2021-10-13 Helmi Shat , Rainer Schwabe

We give a general unified method that can be used for $L_1$ {\em closeness testing} of a wide range of univariate structured distribution families. More specifically, we design a sample optimal and computationally efficient algorithm for…

Data Structures and Algorithms · Computer Science 2015-08-25 Ilias Diakonikolas , Daniel M. Kane , Vladimir Nikishkin

Efficient personnel scheduling plays a significant role in matching workload demand in organizations. However, staff scheduling is sometimes affected by unexpected events, such as the COVID-19 pandemic, that disrupt regular operations.…

Optimization and Control · Mathematics 2023-01-10 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Justin M. Calabrese

Recently, to solve large-scale lasso and group lasso problems, screening rules have been developed, the goal of which is to reduce the problem size by efficiently discarding zero coefficients using simple rules independently of the others.…

Machine Learning · Statistics 2014-10-28 Seunghak Lee , Eric P. Xing

Long-term care facilities have been widely affected by the COVID-19 pandemic. Retirement homes are particularly vulnerable due to the higher mortality risk of infected elderly individuals. Once an outbreak occurs, suppressing the spread of…

Optimization and Control · Mathematics 2022-04-06 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Weronika Schlechte-Welnicz , Birgit Wagner , Justin M. Calabrese

Semiquantitative group testing (SQGT) is a pooling method in which the test outcomes represent bounded intervals for the number of defectives. Alternatively, it may be viewed as an adder channel with quantized outputs. SQGT represents a…

Information Theory · Computer Science 2021-02-10 Mahdi Cheraghchi , Ryan Gabrys , Olgica Milenkovic

In pandemics or epidemics, public health authorities need to rapidly test a large number of individuals, both to determine the line of treatment as well as to know the spread of infection to plan containment, mitigation and future…

Other Quantitative Biology · Quantitative Biology 2020-03-31 Tarun Jain , Bijendra Nath Jain

In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

Optimization and Control · Mathematics 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

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 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

We consider the group testing problem, in the case where the items are defective independently but with non-constant probability. We introduce and analyse an algorithm to solve this problem by grouping items together appropriately. We give…

Information Theory · Computer Science 2015-02-04 Tom Kealy , Oliver Johnson , Robert Piechocki

Pooled testing is a common strategy for public health disease screening under limited testing resources, allowing multiple biological samples to be tested together with the resources of a single test, at the cost of reduced individual…

Computer Science and Game Theory · Computer Science 2026-02-02 Nicholas Lopez , Francisco Marmolejo-Cossío , Jose Roberto Tello Ayala , David C. Parkes

In this letter, we consider the problem of detecting a high dimensional signal based on compressed measurements with physical layer secrecy guarantees. We assume that the network operates in the presence of an eavesdropper who intends to…

Information Theory · Computer Science 2015-06-02 Bhavya Kailkhura , Sijia Liu , Thakshila Wimalajeewa , Pramod K. Varshney

Minimax designs provide a uniform coverage of a design space $\mathcal{X} \subseteq \mathbb{R}^p$ by minimizing the maximum distance from any point in this space to its nearest design point. Although minimax designs have many useful…

Computation · Statistics 2016-11-01 Simon Mak , V. Roshan Joseph

In the uniformity testing task, an algorithm is provided with samples from an unknown probability distribution over a (known) finite domain, and must decide whether it is the uniform distribution, or, alternatively, if its total variation…

Data Structures and Algorithms · Computer Science 2025-08-05 Guy Blanc , Clément L. Canonne , Erik Waingarten

Optimal recursive decomposition (or DR-planning) is crucial for analyzing, designing, solving or finding realizations of geometric constraint sytems. While the optimal DR-planning problem is NP-hard even for general 2D bar-joint constraint…

Computational Geometry · Computer Science 2015-07-07 Troy Baker , Meera Sitharam , Menghan Wang , Joel Willoughby