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Group testing algorithms are very useful tools for DNA library screening. Building on recent work by Levenshtein (2003) and Tonchev (2008), we construct in this paper new infinite classes of combinatorial structures, the existence of which…

Discrete Mathematics · Computer Science 2011-06-21 Michael Huber

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

An information theoretic perspective on group testing problems has recently been proposed by Atia and Saligrama, in order to characterise the optimal number of tests. Their results hold in the noiseless case, where only false positives…

Information Theory · Computer Science 2013-03-20 Dino Sejdinovic , Oliver Johnson

We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial…

Machine Learning · Statistics 2020-07-07 Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi

We study Dorfman's classical group testing protocol in a novel setting where individual specimen statuses are modeled as exchangeable random variables. We are motivated by infectious disease screening. In that case, specimens which arrive…

Applications · Statistics 2024-02-28 Nicholas C. Landolfi , Sanjay Lall

Learning invariant representations is an important requirement when training machine learning models that are driven by spurious correlations in the datasets. These spurious correlations, between input samples and the target labels, wrongly…

Machine Learning · Computer Science 2022-01-12 Vishnu Suresh Lokhande , Kihyuk Sohn , Jinsung Yoon , Madeleine Udell , Chen-Yu Lee , Tomas Pfister

Group testing techniques are widely used in resource-constrained settings, such as infectious-disease screening, blood safety, DNA library screening, and industrial inspection, where the efficient use of limited testing resources depends…

Methodology · Statistics 2026-04-29 Chi-Kuang Yeh , Weng Kee Wong , Julie Zhou

Choosing an optimal strategy for hierarchical group testing is an important problem for practitioners who are interested in disease screening with limited resources. For example, when screening for infectious diseases in large populations,…

Methodology · Statistics 2020-02-27 Yaakov Malinovsky , Gregory Haber , Paul S. Albert

When faulty sensors are rare in a network, diagnosing sensors individually is inefficient. This study introduces a novel use of concepts from group testing and Kalman filtering in detecting these rare faulty sensors with significantly fewer…

Systems and Control · Computer Science 2015-01-20 Chun Lo , Yechao Bai , Mingyan Liu , Jerome P. Lynch

Ensemble Learning methods combine multiple algorithms performing the same task to build a group with superior quality. These systems are well adapted to the distributed setup, where each peer or machine of the network hosts one algorithm…

Machine Learning · Computer Science 2021-10-19 Gaëlle Candel , David Naccache

Group testing is a well known search problem that consists in detecting up to $s$ defective elements of the set $[t]=\{1,\ldots,t\}$ by carrying out tests on properly chosen subsets of $[t]$. In classical group testing the goal is to find…

Information Theory · Computer Science 2016-11-18 A. G. D'yachkov , I. V. Vorobyev , N. A. Polyanskii , V. Yu. Shchukin

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

In nonadaptive group testing, the main research objective is to design an efficient algorithm to identify a set of up to $t$ positive elements among $n$ samples with as few tests as possible. Disjunct matrices and separable matrices are two…

Combinatorics · Mathematics 2021-10-15 Bingchen Qian , Xin Wang , Gennian Ge

We consider two closely related problems: anomaly detection in sensor networks and testing for infections in human populations. In both problems, we have $n$ nodes (sensors, humans), and each node exhibits an event of interest (anomaly,…

Information Theory · Computer Science 2020-12-01 Melih Bastopcu , Sennur Ulukus

Recent advances in deep learning have made the use of large, deep neural networks with tens of millions of parameters. The sheer size of these networks imposes a challenging computational burden during inference. Existing work focuses…

Machine Learning · Computer Science 2021-05-11 Weixin Liang , James Zou

Learning with noisy labels (LNL) aims at designing strategies to improve model performance and generalization by mitigating the effects of model overfitting to noisy labels. The key success of LNL lies in identifying as many clean samples…

Computer Vision and Pattern Recognition · Computer Science 2022-08-08 Jichang Li , Guanbin Li , Feng Liu , Yizhou Yu

This paper develops a flexible distribution-free method for collective outlier detection and enumeration, designed for situations in which the presence of outliers can be detected powerfully even though their precise identification may be…

Methodology · Statistics 2026-05-19 Chiara G. Magnani , Matteo Sesia , Aldo Solari

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

A key requirement in containing contagious diseases, such as the Coronavirus disease 2019 (COVID-19) pandemic, is the ability to efficiently carry out mass diagnosis over large populations. Some of the leading testing procedures, such as…

Quantitative Methods · Quantitative Biology 2022-08-31 Amit Solomon , Alejandro Cohen , Nir Shlezinger , Yonina C. Eldar , Muriel Médard

Among the challenges that the COVID-19 pandemic outbreak revealed is the problem to reduce the number of tests required for identifying the virus carriers in order to contain the viral spread while preserving the tests reliability. To cope…

Information Theory · Computer Science 2021-12-24 Catherine A. Haddad-Zaaknoon