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In the problem of classical group testing one aims to identify a small subset (of size $d$) diseased individuals/defective items in a large population (of size $n$). This process is based on a minimal number of suitably-designed group tests…

Information Theory · Computer Science 2022-09-26 Xiwei Cheng , Sidharth Jaggi , Qiaoqiao Zhou

This paper considers the joint distribution of elements of a random sample and an order statistic of the same sample. \ The motivation for this work stems from the important problem in reliability analysis, to estimate the number of…

Statistics Theory · Mathematics 2019-03-04 Ismihan Bairamov

The problem of verifying whether a multi-component system has anomalies or not is addressed. Each component can be probed over time in a data-driven manner to obtain noisy observations that indicate whether the selected component is…

Information Theory · Computer Science 2020-05-19 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

It is shown that, in a precise sense, if there is no bound on the number of faulty processes in a system with unreliable but fair communication, Uniform Distributed Coordination (UDC) can be attained if and only if a system has perfect…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Joseph Y. Halpern , Aleta Ricciardi

The failure of a complex and safety critical industrial asset can have extremely high consequences. Close monitoring for early detection of abnormal system conditions is therefore required. Data-driven solutions to this problem have been…

Machine Learning · Statistics 2021-11-24 Gabriel Michau , Olga Fink

Large-scale decentralized systems of autonomous agents interacting via asynchronous communication often experience the following self-healing dilemma: fault detection inherits network uncertainties making a remote faulty process…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-25 Jovan Nikolic , Nursultan Jubatyrov , Evangelos Pournaras

Test suite reduction (TSR) aims at removing redundant test cases from regression test suites. A typical TSR approach ensures that structural profile elements covered by the original test suite are also covered by the reduced test suite. It…

Software Engineering · Computer Science 2018-08-27 Chadi Trad , Rawad Abou Assi , Wes Masri

When interacting with their software systems, users may have to deal with problems like crashes, failures, and program instability. Faulty software running in the field is not only the consequence of ineffective in-house verification and…

Software Engineering · Computer Science 2017-05-23 Luca Gazzola

In a typical two-slits experiments we face the question whether it is possible or not to attain knowledge about properties incompatible with Which-Slit property together with the measurement of the final impact point. A wide family of…

Quantum Physics · Physics 2008-08-21 Angela Sestito

Unlike most other software quality attributes, testability cannot be evaluated solely based on the characteristics of the source code. The effectiveness of the test suite and the budget assigned to the test highly impact the testability of…

Software Engineering · Computer Science 2022-08-25 Morteza Zakeri-Nasrabadi , Saeed Parsa

We consider a generalization of group testing where the potentially contaminated sets are the members of a given hypergraph ${\cal F}=(V,E)$. This generalization finds application in contexts where contaminations can be conditioned by some…

Data Structures and Algorithms · Computer Science 2023-11-28 Annalisa De Bonis

The $k$-of-$n$ testing problem involves performing $n$ independent tests sequentially, in order to determine whether/not at least $k$ tests pass. The objective is to minimize the expected cost of testing. This is a fundamental and…

Data Structures and Algorithms · Computer Science 2026-03-26 Rayen Tan , Viswanath Nagarajan

The goal of the group testing problem is to identify a set of defective items within a larger set of items, using suitably-designed tests whose outcomes indicate whether any defective item is present. In this paper, we study how the number…

Information Theory · Computer Science 2023-01-18 Ivan Lau , Jonathan Scarlett , Yang Sun

The usual problem for group testing is this: For a given number of individuals and a given prevalence, how many tests T* are required to find every infected individual? In real life, however, the problem is usually different: For a given…

Applications · Statistics 2021-07-21 Matthew Aldridge

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 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

Factor-adjusted multiple testing is used for handling strong correlated tests. Since most of previous works control the false discovery rate under sparse alternatives, we develop a two-step method, namely the AdaFAT, for any true false…

Statistics Theory · Mathematics 2020-11-03 Mengkun Du , Lan Wu

There is an increasing interest in algorithms to learn invariant correlations across training environments. A big share of the current proposals find theoretical support in the causality literature but, how useful are they in practice? The…

Machine Learning · Computer Science 2021-02-23 Benjamin Aubin , Agnieszka Słowik , Martin Arjovsky , Leon Bottou , David Lopez-Paz

Software is used in critical applications in our day-to-day life and it is important to ensure its correctness. One popular approach to assess correctness is to evaluate software on tests. If a test fails, it indicates a fault in the…

Software Engineering · Computer Science 2025-04-01 Max Hort , Leon Moonen

Linear stochastic transitivity is a central assumption in paired comparison models that is rarely verified in practice. Empirical violations, however, are common and can substantially affect inference and ranking. We develop a class of…

Methodology · Statistics 2026-04-02 Rahul Singh , Ori Davidov
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