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We consider a version of the classical group testing problem motivated by PCR testing for COVID-19. In the so-called tropical group testing model, the outcome of a test is the lowest cycle threshold (Ct) level of the individuals pooled…

信息论 · 计算机科学 2024-10-15 Vivekanand Paligadu , Oliver Johnson , Matthew Aldridge

In 5G and future generation wireless systems, massive IoT networks with bursty traffic are expected to co-exist with cellular systems to serve several latency-critical applications. Thus, it is important for the access points to identify…

信号处理 · 电气工程与系统科学 2021-11-05 Jyotish Robin , Elza Erkip

Team assembly is a problem that demands trade-offs between multiple fairness criteria and computational optimization. We focus on four criteria: (i) fair distribution of workloads within the team, (ii) fair distribution of skills and…

数据库 · 计算机科学 2023-06-27 Rodrigo Borges , Otto Sahlgrens , Sami Koivunen , Kostas Stefanidis , Thomas Olsson , Arto Laitinen

Numerous challenges in science and engineering can be framed as optimization tasks, including the maximization of reaction yields, the optimization of molecular and materials properties, and the fine-tuning of automated hardware protocols.…

最优化与控制 · 数学 2021-11-19 Matteo Aldeghi , Florian Häse , Riley J. Hickman , Isaac Tamblyn , Alán Aspuru-Guzik

There are many applications where it important to perform well on a set of examples as opposed to individual examples. For example in image or video classification the question is does an object appear somewhere in the image or video while…

计算机视觉与模式识别 · 计算机科学 2018-06-22 Dori Peleg

We consider a group synchronization problem with multiple frequencies which involves observing pairwise relative measurements of group elements on multiple frequency channels, corrupted by Gaussian noise. We study the computational phase…

统计理论 · 数学 2024-06-06 Anastasia Kireeva , Afonso S. Bandeira , Dmitriy Kunisky

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

应用统计 · 统计学 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Group distributionally robust optimization (GDRO) aims to develop models that perform well across $m$ distributions simultaneously. Existing GDRO algorithms can only process a fixed number of samples per iteration, either 1 or $m$, and…

机器学习 · 计算机科学 2025-05-22 Haomin Bai , Dingzhi Yu , Shuai Li , Haipeng Luo , Lijun Zhang

We consider the problem of identifying infected individuals in a population of size N. We introduce a group testing approach that uses significantly fewer than N tests when infection prevalence is low. The most common approach to group…

应用统计 · 统计学 2022-01-03 Paolo Bertolotti , Ali Jadbabaie

Suppose that a group test operation is available for checking order relations in a set, can this speed up problems like finding the minimum/maximum element, determining the rank of element, and computing order statistics? We consider a…

数据结构与算法 · 计算机科学 2026-02-05 Adiesha Liyanage , Brendan Mumey , Braeden Sopp

Let $G$ be a finite group generated by $k$ elements. The well-known product replacement algorithm provides an effective method for sampling generating sets of $G$. We study a refinement of this algorithm that is designed to output…

群论 · 数学 2025-12-23 Michał Marcinkowski , Piotr Mizerka

Group testing tackles the problem of identifying a population of $K$ defective items from a set of $n$ items by pooling groups of items efficiently in order to cut down the number of tests needed. The result of a test for a group of items…

信息论 · 计算机科学 2015-08-20 Kangwook Lee , Ramtin Pedarsani , Kannan Ramchandran

Peer reviews, evaluations, and selections are a fundamental aspect of modern science. Funding bodies the world over employ experts to review and select the best proposals from those submitted for funding. The problem of peer selection,…

计算机科学与博弈论 · 计算机科学 2019-05-01 Haris Aziz , Omer Lev , Nicholas Mattei , Jeffrey S. Rosenschein , Toby Walsh

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…

应用统计 · 统计学 2024-02-28 Nicholas C. Landolfi , Sanjay Lall

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…

信息论 · 计算机科学 2026-04-28 Daniil Goshkoder , Nikita Polyanskii , Ilya Vorobyev

State-of-the-art detection systems are generally evaluated on their ability to exhaustively retrieve objects densely distributed in the image, across a wide variety of appearances and semantic categories. Orthogonal to this, many real-life…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Amelie Royer , Christoph H. Lampert

Clustering is an unsupervised technique of Data Mining. It means grouping similar objects together and separating the dissimilar ones. Each object in the data set is assigned a class label in the clustering process using a distance measure.…

信息检索 · 计算机科学 2011-10-13 Parul Agarwal , M. Afshar Alam , Ranjit Biswas

This research describes the initial effort of building a prediction model for defects in system testing carried out by an independent testing team. The motivation to have such defect prediction model is to serve as early quality indicator…

软件工程 · 计算机科学 2014-01-24 Muhammad Dhiauddin Mohamed Suffian , Suhaimi Ibrahim

Inspired by applications in testing for Covid-19, we consider a variant of two-stage group testing called "conservative" (or "trivial") two-stage testing, where every item declared to be defective must be definitively confirmed by being…

应用统计 · 统计学 2022-03-10 Matthew Aldridge

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…

信息论 · 计算机科学 2019-02-12 Thach V. Bui , Minoru Kuribayashi , Mahdi Cheraghchi , Isao Echizen
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