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In the context of a pandemic like COVID-19, and until most people are vaccinated, proactive testing and interventions have been proved to be the only means to contain the disease spread. Recent academic work has offered significant evidence…

Specimens are collected from $N$ different sources. Each specimen has probability $p$ of being contaminated, independently of the other specimens. We assume group testing is applicable, namely one can take small portions from several…

Probability · Mathematics 2024-09-24 Vassilis G. Papanicolaou

Subspace clustering refers to the task of finding a multi-subspace representation that best fits a collection of points taken from a high-dimensional space. This paper introduces an algorithm inspired by sparse subspace clustering (SSC) [In…

Machine Learning · Computer Science 2014-05-26 Mahdi Soltanolkotabi , Ehsan Elhamifar , Emmanuel J. Candès

Major advances in public health have resulted from disease prevention. However, prevention of a new infectious disease by vaccination or pharmaceuticals is made difficult by the slow process of vaccine and drug development. We propose an…

Populations and Evolution · Quantitative Biology 2021-04-15 Jussi Taipale , Ioannis Kontoyiannis , Sten Linnarsson

In Group Testing, the objective is to identify $K$ defective items out of $N$, $K\ll N$, by testing pools of items together and using the least amount of tests possible. Recently, a fast decoding method based on binary splitting (Price and…

Information Theory · Computer Science 2025-01-23 Xiaxin Li , Arya Mazumdar

Identifying the infection status of each individual during infectious diseases informs public health management. However, performing frequent individual-level tests may not be feasible. Instead, sparse and sometimes group-level tests are…

Applications · Statistics 2023-06-06 Zahra Gholamalian , Zeinab Maleki , MasoudReza Hashemi , Pouria Ramazi

Noisy training set usually leads to the degradation of generalization and robustness of neural networks. In this paper, we propose using a theoretically guaranteed noisy label detection framework to detect and remove noisy data for Learning…

Machine Learning · Computer Science 2022-03-22 Yikai Wang , Xinwei Sun , Yanwei Fu

We propose a novel testing and containment strategy in order to contain the spread of SARS-CoV2 while permitting large parts of the population to resume social and economic activity. Our approach recognises the fact that testing capacities…

Populations and Evolution · Quantitative Biology 2020-04-29 Jakob Jonnerby , Philip Lazos , Edwin Lock , Francisco Marmolejo-Cossío , C. Bronk Ramsey , Meghana Shukla , Divya Sridhar

In this paper, an information theoretic analysis on non-adaptive group testing schemes based on sparse pooling graphs is presented. The binary status of the objects to be tested are modeled by i.i.d. Bernoulli random variables with…

Information Theory · Computer Science 2013-04-29 Tadashi Wadayama

Extracting noisy or incorrectly labeled samples from a labeled dataset with hard/difficult samples is an important yet under-explored topic. Two general and often independent lines of work exist, one focuses on addressing noisy labels, and…

Machine Learning · Computer Science 2023-07-21 Mahsa Forouzesh , Patrick Thiran

We consider the problem of imaging sparse scenes from a few noisy data using an $l_1$-minimization approach. This problem can be cast as a linear system of the form $A \, \rho =b$, where $A$ is an $N\times K$ measurement matrix. We assume…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

We propose a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We present an algorithm that allows to detect objects of unknown…

Statistics Theory · Mathematics 2013-12-02 Mikhail A. Langovoy , Olaf Wittich

Noisy labels are inevitable, even in well-annotated datasets. The detection of noisy labels is of significant importance to enhance the robustness of speaker recognition models. In this paper, we propose a novel noisy label detection…

Audio and Speech Processing · Electrical Eng. & Systems 2024-06-21 Yao Shen , Yingying Gao , Yaqian Hao , Chenguang Hu , Fulin Zhang , Junlan Feng , Shilei Zhang

In real-world application scenarios, the identification of groups poses a significant challenge due to possibly occurring outliers and existing noise variables. Therefore, there is a need for a clustering method which is capable of…

This article reviews a class of adaptive group testing procedures that operate under a probabilistic model assumption as follows. Consider a set of $N$ items, where item $i$ has the probability $p$ ($p_i$ in the generalized group testing)…

Methodology · Statistics 2021-02-19 Yaakov Malinovsky , Paul S. Albert

We observe a $N\times M$ matrix $Y_{ij}=s_{ij}+\xi_{ij}$ with $\xi_{ij}\sim {\mathcal {N}}(0,1)$ i.i.d. in $i,j$, and $s_{ij}\in \mathbb {R}$. We test the null hypothesis $s_{ij}=0$ for all $i,j$ against the alternative that there exists…

Statistics Theory · Mathematics 2013-12-20 Cristina Butucea , Yuri I. Ingster

This paper proposes Group-In, a wireless scanning system to detect static or mobile people groups in indoor or outdoor environments. Group-In collects only wireless traces from the Bluetooth-enabled mobile devices for group inference. The…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Gürkan Solmaz , Jonathan Fürst , Samet Aytaç , Fang-Jing Wu

Testing symptomatic individuals for a disease can deliver treatment resources, if tests' results turn positive, which speeds up their treatment and might also decrease individuals' contacts to other ones. An imperfect test, however, might…

Populations and Evolution · Quantitative Biology 2015-06-25 Daniel A. M. Villela

In the classical non-adaptive group testing setup, pools of items are tested together, and the main goal of a recovery algorithm is to identify the "complete defective set" given the outcomes of different group tests. In contrast, the main…

Information Theory · Computer Science 2016-03-01 Abhay Sharma , Chandra R. Murthy

This paper presents a regularized regression model with a two-level structural sparsity penalty applied to locate individual atoms in a noisy scanning transmission electron microscopy image (STEM). In crystals, the locations of atoms is…

Applications · Statistics 2018-03-13 Xin Li , Alex Belianinov , Ondrej Dyck , Stephen Jesse , Chiwoo Park
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