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The motivation for this paper comes from the ongoing SARS-CoV-2 Pandemic. Its goal is to present a previously neglected approach to non-adaptive group testing and describes it in terms of residuated pairs on partially ordered sets. Our…

Other Statistics · Statistics 2022-02-15 Marcus Greferath , Cornelia Roessing

An exact conservative remapping scheme requires overlaps between two meshes and a reconstruction scheme on the old cells (Lagrangian mesh). While the are intensive discussion on reconstruction schemes, there are relative sparse discussion…

Numerical Analysis · Mathematics 2016-05-31 Xihua Xu , Shengxin Zhu

The problem of Group Testing is to identify defective items out of a set of objects by means of pool queries of the form "Does the pool contain at least a defective?". The aim is of course to perform detection with the fewest possible…

Statistical Mechanics · Physics 2009-11-13 M. Mézard , M. Tarzia , C. Toninelli

We present a new online algorithm for detecting overlapping communities. The main ingredients are a modification of an online k-means algorithm and a new approach to modelling overlap in communities. An evaluation on large benchmark graphs…

Machine Learning · Computer Science 2015-04-28 Mark Kozdoba , Shie Mannor

High-throughput screening, in which multiwell plates are used to test large numbers of compounds against specific targets, is widely used across many areas of the biological sciences and most prominently in drug discovery. We propose a…

Sparse optimization problems are ubiquitous in many fields such as statistics, signal/image processing and machine learning. This has led to the birth of many iterative algorithms to solve them. A powerful strategy to boost the performance…

Machine Learning · Computer Science 2023-01-09 Cassio F. Dantas , Emmanuel Soubies , Cédric Févotte

Computer-aided analysis of biological microscopy data has seen a massive improvement with the utilization of general-purpose deep learning techniques. Yet, in microscopy studies of multi-organism systems, the problem of collision and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-09 Albert Alonso , Julius B. Kirkegaard

Community detection in graphs is a problem that is likely to be relevant whenever network data appears, and consequently the problem has received much attention with many different methods and algorithms applied. However, many of these…

Combinatorics · Mathematics 2025-05-16 Vilhelm Agdur

Overlapping communities are key characteristics of the structure and function analysis of complex networks. Shared or overlapping nodes within overlapping communities can form either subcommunities or act as intersections between larger…

Social and Information Networks · Computer Science 2025-12-19 Vesa Kuikka , Kosti Koistinen , Kimmo K Kaski

Grouping-based measurement strategies are widely used to reduce measurement complexity in near-term quantum algorithms. While these schemes have typically produced disjoint groups, recently this has been relaxed in what is known as…

Quantum Physics · Physics 2026-04-09 Jeremiah Rowland , Rahul Sarkar , Nicolas PD Sawaya , Norm M. Tubman , Ryan LaRose

In many statistical learning problems, it is desired that the optimal solution conforms to an a priori known sparsity structure represented by a directed acyclic graph. Inducing such structures by means of convex regularizers requires…

Optimization and Control · Mathematics 2020-10-20 Dewei Zhang , Yin Liu , Sam Davanloo Tajbakhsh

Group testing is a well-known search problem that consists in detecting of $s$ defective members of a set of $t$ samples by carrying out tests on properly chosen subsets of samples. In classical group testing the goal is to find all…

Information Theory · Computer Science 2019-05-01 Ilya Vorobyev

Group testing enables the identification of a small subset of defective items within a larger population by performing tests on pools of items rather than on each item individually. Over the years, it has not only attracted attention from…

Information Theory · Computer Science 2026-01-13 Manuel Franco-Vivo

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

Machine Learning · Computer Science 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

We present the group fused Lasso for detection of multiple change-points shared by a set of co-occurring one-dimensional signals. Change-points are detected by approximating the original signals with a constraint on the multidimensional…

Quantitative Methods · Quantitative Biology 2011-06-23 Kevin Bleakley , Jean-Philippe Vert

Grouping structures arise naturally in many statistical modeling problems. Several methods have been proposed for variable selection that respect grouping structure in variables. Examples include the group LASSO and several concave group…

Statistics Theory · Mathematics 2013-01-07 Jian Huang , Patrick Breheny , Shuangge Ma

In this paper, we consider the problem of designing optimal pooling matrix for group testing (for example, for COVID-19 virus testing) with the constraint that no more than $r>0$ samples can be pooled together, which we call "dilution…

Quantitative Methods · Quantitative Biology 2020-08-06 Jirong Yi , Myung Cho , Xiaodong Wu , Raghu Mudumbai , Weiyu Xu

Producing overlapping schemes is a major issue in clustering. Recent proposed overlapping methods relies on the search of an optimal covering and are based on different metrics, such as Euclidean distance and I-Divergence, used to measure…

Machine Learning · Statistics 2012-11-30 Chiheb-Eddine Ben N'Cir , Nadia Essoussi , Patrice Bertrand

No community detection algorithm can be optimal for all possible networks, thus it is important to identify whether the algorithm is suitable for a given network. We propose a multi-step algorithmic solution scheme for overlapping community…

Social and Information Networks · Computer Science 2020-06-24 Tianyi Li , Pan Zhang

This paper introduces a framework that utilizes the Safe Screening technique to accelerate the optimization process of the Unbalanced Optimal Transport (UOT) problem by proactively identifying and eliminating zero elements in the sparse…

Optimization and Control · Mathematics 2023-07-04 Xun Su , Zhongxi Fang , Hiroyuki Kasai
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