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We study the two inference problems of detecting and recovering an isolated community of \emph{general} structure planted in a random graph. The detection problem is formalized as a hypothesis testing problem, where under the null…

Data Structures and Algorithms · Computer Science 2022-01-25 Wasim Huleihel

We consider the following natural generalization of Binary Search: in a given undirected, positively weighted graph, one vertex is a target. The algorithm's task is to identify the target by adaptively querying vertices. In response to…

Data Structures and Algorithms · Computer Science 2017-08-01 Ehsan Emamjomeh-Zadeh , David Kempe , Vikrant Singhal

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen

Clustered effects are often encountered in multiple hypothesis testing of spatial signals. In this paper, we propose a new method, termed \textit{two-dimensional spatial multiple testing} (2d-SMT) procedure, to control the false discovery…

Methodology · Statistics 2024-08-13 Linsui Deng , Kejun He , Xianyang Zhang

When simultaneously testing multiple hypotheses, the usual approach in the context of confirmatory clinical trials is to control the familywise error rate (FWER), which bounds the probability of making at least one false rejection. In many…

Methodology · Statistics 2021-05-20 David S. Robertson , James M. S. Wason , Frank Bretz

This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to infer graph edges from signals at its nodes, or when different…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Gaetano Scarano , Marie-Constance Corsi , Fabrizio De Vico Fallani , Stefania Colonnese

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

Reconstructing low-dimensional truth labels from high-dimensional experimental data is a central challenge in any scenario that relies on robust mappings across this so-called domain gap, from multi-particle final states in high-energy…

High Energy Physics - Phenomenology · Physics 2025-05-12 Wonyong Chung

We consider the problem of distributed hypothesis testing (or social learning) where a network of agents seeks to identify the true state of the world from a finite set of hypotheses, based on a series of stochastic signals that each agent…

Multiagent Systems · Computer Science 2020-04-06 Shreyas Sundaram , Aritra Mitra

We consider the problem of variable selection in high-dimensional statistical models where the goal is to report a set of variables, out of many predictors $X_1, \dotsc, X_p$, that are relevant to a response of interest. For linear…

Methodology · Statistics 2019-03-20 Adel Javanmard , Hamid Javadi

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

Timely detected anomalies in the chemical technological processes, as well as the earliest detection of the cause of the fault, significantly reduce the production cost in the industrial factories. Data on the state of the technological…

Artificial Intelligence · Computer Science 2022-10-21 Alexander Kovalenko , Vitaliy Pozdnyakov , Ilya Makarov

Graph-based change point detection (CPD) play an irreplaceable role in discovering anomalous graphs in the time-varying network. While several techniques have been proposed to detect change points by identifying whether there is a…

Social and Information Networks · Computer Science 2022-12-20 Yongshun Gong , Xue Dong , Jian Zhang , Meng Chen

The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and…

Applications · Statistics 2015-04-06 Christine Peterson , Marina Bogomolov , Yoav Benjamini , Chiara Sabatti

With the increasing use of IoT-enabled sensors, it is important to have effective methods for querying the sensors. For example, in a dense network of battery-driven temperature sensors, it is often possible to query (sample) just a subset…

Social and Information Networks · Computer Science 2022-02-21 Roshni Chakraborty , Josefine Holm , Torben Bach Pedersen , Petar Popovski

A new scheme to sample signals defined in the nodes of a graph is proposed. The underlying assumption is that such signals admit a sparse representation in a frequency domain related to the structure of the graph, which is captured by the…

Social and Information Networks · Computer Science 2016-04-20 Antonio G. Marques , Santiago Segarra , Geert Leus , Alejandro Ribeiro

In a spoofing attack, a malicious actor impersonates a legitimate user to access or manipulate data without authorization. The vulnerability of cryptographic security mechanisms to compromised user credentials motivates spoofing attack…

Signal Processing · Electrical Eng. & Systems 2024-01-17 Tien Ngoc Ha , Daniel Romero

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

We consider the problem of controlling a partially-observed dynamic process on a graph by a limited number of interventions. This problem naturally arises in contexts such as scheduling virus tests to curb an epidemic; targeted marketing in…

Machine Learning · Computer Science 2021-07-12 Eli A. Meirom , Haggai Maron , Shie Mannor , Gal Chechik

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li