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We have a large number of samples and we want to find the infected ones using as few number of tests as possible. We can use group testing which tells about a small group of people whether at least one of them is infected. Group testing is…

Quantitative Methods · Quantitative Biology 2020-05-07 Endre Csóka

We present an exact method of greatly speeding up belief propagation (BP) for a wide variety of potential functions in pairwise MRFs and other graphical models. Specifically, our technique applies whenever the pairwise potentials have been…

Computer Vision and Pattern Recognition · Computer Science 2010-10-04 James M. Coughlan , Huiying Shen

Consider a finite population of $N$ items, where item $i$ has a probability $p_i$ to be defective. The goal is to identify all items by means of group testing. This is the generalized group testing problem (hereafter GGTP). In the case of…

Other Statistics · Statistics 2020-02-28 Yaakov Malinovsky

This paper investigates the problem of sparse support detection (SSD) via a detection-oriented algorithm named Bayesian hypothesis test via belief propagation (BHT-BP). Our main focus is to compare BHT-BP to an estimation-based algorithm,…

Information Theory · Computer Science 2013-04-09 Jaewook Kang , Heung-No Lee , Kiseon Kim

Group testing was conceived during World War II to identify soldiers infected with syphilis using as few tests as possible, and it has attracted renewed interest during the COVID-19 pandemic. A long-standing assumption in the probabilistic…

Social and Information Networks · Computer Science 2022-11-18 Surin Ahn , Wei-Ning Chen , Ayfer Ozgur

In this work, we consider the sparsity-constrained community-based group testing problem, where the population follows a community structure. In particular, the community consists of $F$ families, each with $M$ members. A number $k_f$ out…

Information Theory · Computer Science 2024-03-20 Sarthak Jain , Martina Cardone , Soheil Mohajer

We consider the problem of hypothesis testing for discrete distributions. In the standard model, where we have sample access to an underlying distribution $p$, extensive research has established optimal bounds for uniformity testing,…

Machine Learning · Computer Science 2024-12-03 Maryam Aliakbarpour , Piotr Indyk , Ronitt Rubinfeld , Sandeep Silwal

Low-density parity-check codes are attractive for high throughput applications because of their low decoding complexity per bit, but also because all the codeword bits can be decoded in parallel. However, achieving this in a circuit…

Hardware Architecture · Computer Science 2012-05-14 François Leduc-Primeau , Saied Hemati , Shie Mannor , Warren J. Gross

Noisy label learning aims to train deep neural networks using a large amount of samples with noisy labels, whose main challenge comes from how to deal with the inaccurate supervision caused by wrong labels. Existing works either take the…

Machine Learning · Computer Science 2024-04-03 Sihan Bai

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

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

We consider the quantitative group testing problem where the objective is to identify defective items in a given population based on results of tests performed on subsets of the population. Under the quantitative group testing model, the…

Information Theory · Computer Science 2017-10-24 Chao Wang , Qing Zhao , Chen-Nee Chuah

Group testing enables to identify infected individuals in a population using a smaller number of tests than individual testing. To achieve this, group testing algorithms commonly assume knowledge of the number of infected individuals;…

Information Theory · Computer Science 2023-05-16 Chaorui Yao , Pavlos Nikolopoulos , Christina Fragouli

A multifidelity method for the nonlinear propagation of uncertainties in the presence of stochastic accelerations is presented. The proposed algorithm treats the uncertainty propagation (UP) problem by separating the propagation of the…

Numerical Analysis · Mathematics 2025-08-19 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Francesco Sanfedino

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

In this paper, deep neural network (DNN) is utilized to improve the belief propagation (BP) detection for massive multiple-input multiple-output (MIMO) systems. A neural network architecture suitable for detection task is firstly introduced…

Signal Processing · Electrical Eng. & Systems 2018-04-06 Xiaosi Tan , Weihong Xu , Yair Be'ery , Zaichen Zhang , Xiaohu You , Chuan Zhang

This paper considers the problem of tracking a large-scale number of group targets. Usually, multi-target in most tracking scenarios are assumed to have independent motion and are well-separated. However, for group target tracking (GTT),…

Machine Learning · Computer Science 2022-08-26 Xuqi Zhang , Fanqin Meng , Haiqi Liu , Xiaojing Shen , Yunmin Zhu

Recent research has found that diagnostic performance with Bayesian belief networks is often surprisingly insensitive to imprecision in the numerical probabilities. For example, the authors have recently completed an extensive study in…

Artificial Intelligence · Computer Science 2013-02-18 Max Henrion , Malcolm Pradhan , Brendan del Favero , Kurt Huang , Gregory M. Provan , Paul O'Rorke

Belief propagation is known to perform extremely well in many practical statistical inference and learning problems using graphical models, even in the presence of multiple loops. The iterative use of belief propagation algorithm on loopy…

Information Theory · Computer Science 2013-02-13 Xiangqiong Shi , Dan Schonfeld , Daniela Tuninetti

\emph{Group Testing} (GT) addresses the problem of identifying a small subset of defective items from a large population, by grouping items into as few test pools as possible. In \emph{Adaptive GT} (AGT), outcomes of previous tests can…

Information Theory · Computer Science 2020-08-17 Alejandro Cohen , Asaf Cohen , Omer Gurewitz