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Hybrid controlled trials (HCTs), which augment randomized controlled trials (RCTs) with external controls (ECs), are increasingly receiving attention as a way to address limited power, slow accrual, and ethical concerns in clinical…

统计方法学 · 统计学 2025-05-02 Jiajun Liu , Ke Zhu , Shu Yang , Xiaofei Wang

Non-adaptive group testing involves grouping arbitrary subsets of $n$ items into different pools. Each pool is then tested and defective items are identified. A fundamental question involves minimizing the number of pools required to…

离散数学 · 计算机科学 2011-07-26 Mahdi Cheraghchi , Amin Karbasi , Soheil Mohajer , Venkatesh Saligrama

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…

信息论 · 计算机科学 2026-04-24 Daniel McMorrow , Jonathan Scarlett

Surveys are critical inputs for research and policy, yet, enumerating a sampling frame is logistically infeasible or financially nonviable in many circumstances, such as during pandemics, natural disasters, or armed conflict. Respondent…

应用统计 · 统计学 2026-03-03 Adam Visokay , Laura Boudreau , Rachel M. Heath , Tyler H. McCormick

Group testing is a screening strategy that involves dividing a population into several disjointed groups of subjects. In its simplest implementation, each group is tested with a single test in the first phase, while in the second phase only…

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

信息论 · 计算机科学 2023-09-19 Jonathan Scarlett , Oliver Johnson

We consider some computationally efficient and provably correct algorithms with near-optimal sample-complexity for the problem of noisy non-adaptive group testing. Group testing involves grouping arbitrary subsets of items into pools. Each…

信息论 · 计算机科学 2016-11-18 Chun Lam Chan , Sidharth Jaggi , Venkatesh Saligrama , Samar Agnihotri

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…

数据结构与算法 · 计算机科学 2023-11-28 Annalisa De Bonis

In this paper, we aim at solving a class of multiple testing problems under the Bayesian sequential decision framework. Our motivating application comes from binary labeling tasks in crowdsourcing, where the requestor needs to…

统计方法学 · 统计学 2017-08-29 Xiaoou Li , Yunxiao Chen , Xi Chen , Jingchen Liu , Zhiliang Ying

Sparse Representation (SR) techniques encode the test samples into a sparse linear combination of all training samples and then classify the test samples into the class with the minimum residual. The classification of SR techniques depends…

计算机视觉与模式识别 · 计算机科学 2019-07-01 Chun-Mei Feng , Yong Xu , Zuoyong Li , Jian Yang

Group-testing refers to the problem of identifying (with high probability) a (small) subset of $D$ defectives from a (large) set of $N$ items via a "small" number of "pooled" tests. For ease of presentation in this work we focus on the…

信息论 · 计算机科学 2013-07-11 Sheng Cai , Mohammad Jahangoshahi , Mayank Bakshi , Sidharth Jaggi

Respondent-driven sampling (RDS) is an approach to sampling design and analysis which utilizes the networks of social relationships that connect members of the target population, using chain-referral methods to facilitate sampling. RDS…

统计方法学 · 统计学 2015-08-19 Yakir Berchenko , Jonathan Rosenblatt , Simon D. W. Frost

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,…

统计方法学 · 统计学 2020-02-27 Yaakov Malinovsky , Gregory Haber , Paul S. Albert

We study the group testing problem with non-adaptive randomized algorithms. Several models have been discussed in the literature to determine how to randomly choose the tests. For a model ${\cal M}$, let $m_{\cal M}(n,d)$ be the minimum…

机器学习 · 计算机科学 2019-11-06 Nader H. Bshouty , George Haddad , Catherine A. Haddad-Zaknoon

We consider a zero-error probabilistic group testing problem where individuals are defective independently but not with identical probabilities. We propose a greedy set formation method to build sets of individuals to be tested together. We…

信息论 · 计算机科学 2021-08-30 Mustafa Doger , Sennur Ulukus

Patch-based sparse representation modeling has shown great potential in image compressive sensing (CS) reconstruction. However, this model usually suffers from some limits, such as dictionary learning with great computational complexity,…

计算机视觉与模式识别 · 计算机科学 2017-08-18 Zhiyuan Zha , Xinggan Zhang , Qiong Wang , Lan Tang , Xin Liu

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…

信息论 · 计算机科学 2020-06-19 Eric Price , Jonathan Scarlett

The study in group testing aims to develop strategies to identify a small set of defective items among a large population using a few pooled tests. The established techniques have been highly beneficial in a broad spectrum of applications…

信息论 · 计算机科学 2025-01-23 Venkata Gandikota , Nikita Polyanskii , Haodong Yang

In group testing, the task is to identify defective items by testing groups of them together using as few tests as possible. We consider the setting where each item is defective with a constant probability $\alpha$, independent of all other…

离散数学 · 计算机科学 2024-11-15 Lukas Hintze , Lena Krieg , Olga Scheftelowitsch , Haodong Zhu

Modern machine learning approaches often prioritize performance at the cost of increased complexity, computational demands, and reduced interpretability. This paper introduces a novel framework that challenges this trend by reinterpreting…

机器学习 · 计算机科学 2025-02-19 Harikrishnan N B , Anuja Vats , Nithin Nagaraj , Marius Pedersen