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Random geometric graphs are widely used in modeling geometry and dependence structure in networks. In a random geometric graph, nodes are independently generated from some probability distribution $F$ over a metric space, and edges link…

Methodology · Statistics 2025-10-17 Mingao Yuan

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

Information Theory · Computer Science 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

The problem of sequentially detecting an abrupt change in a sequence of independent and identically distributed (IID) random variables is addressed. Whereas previous approaches assume a known probability density function (PDF) at the start…

Statistics Theory · Mathematics 2017-12-11 James Falt , Steven D. Blostein

We consider the two related problems of detecting if an example is misclassified or out-of-distribution. We present a simple baseline that utilizes probabilities from softmax distributions. Correctly classified examples tend to have greater…

Neural and Evolutionary Computing · Computer Science 2018-10-04 Dan Hendrycks , Kevin Gimpel

This paper addresses the problem of distributed detection in fixed and switching networks. A network of agents observe partially informative signals about the unknown state of the world. Hence, they collaborate with each other to identify…

Systems and Control · Computer Science 2016-01-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

Motivated by real-world machine learning applications, we analyze approximations to the non-asymptotic fundamental limits of statistical classification. In the binary version of this problem, given two training sequences generated according…

Information Theory · Computer Science 2018-12-07 Lin Zhou , Vincent Y. F. Tan , Mehul Motani

We consider the problem of constructing sequential power-one tests where the null and alternative classes are specified indirectly through historical or offline data. More specifically, given an offline dataset consisting of observations…

Statistics Theory · Mathematics 2026-03-23 Chia-Yu Hsu , Shubhanshu Shekhar

We overview some results on distributed learning with focus on a family of recently proposed algorithms known as non-Bayesian social learning. We consider different approaches to the distributed learning problem and its algorithmic…

Optimization and Control · Mathematics 2016-09-27 Angelia Nedić , Alex Olshevsky , César A. Uribe

We consider a multi-stage distributed detection scenario, where $n$ sensors and a fusion center (FC) are deployed to accomplish a binary hypothesis test. At each time stage, local sensors generate binary messages, assumed to be spatially…

Signal Processing · Electrical Eng. & Systems 2023-01-04 Guangyang Zeng , Xiaoqiang Ren , Junfeng Wu

The problem of distributed dynamic state estimation in wireless sensor networks is studied. Two important properties of local estimates, namely, the consistency and confidence, are emphasized. On one hand, the consistency, which means that…

Information Theory · Computer Science 2016-11-15 Shaocheng Wang , Wei Ren

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

Methodology · Statistics 2018-02-23 Lynna Chu , Hao Chen

In this paper we tackle distributed detection of a non-cooperative target with a Wireless Sensor Network (WSN). When the target is present, sensors observe an unknown random signal with amplitude attenuation depending on the distance…

Information Theory · Computer Science 2016-12-20 D. Ciuonzo , P. Salvo Rossi

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Determining the presence of a potential optical source in the interest region is important for an imaging system and can be achieved by using hypothesis testing. The previous studies assume that the potential source is completely…

Quantum Physics · Physics 2024-10-23 Jian-Dong Zhang , Kexin Zhang , Lili Hou , Shuai Wang

We study the multivariate nonparametric change point detection problem, where the data are a sequence of independent $p$-dimensional random vectors whose distributions are piecewise-constant with Lipschitz densities changing at unknown…

Statistics Theory · Mathematics 2020-06-26 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

The recently proposed sequential distributed detector based on level-triggered sampling operates as simple as the decision fusion techniques and at the same time performs as well as the data fusion techniques. Hence, it is well suited for…

Applications · Statistics 2015-06-12 Yasin Yilmaz , Xiaodong Wang

We investigate distribution testing with access to non-adaptive conditional samples. In the conditional sampling model, the algorithm is given the following access to a distribution: it submits a query set $S$ to an oracle, which returns a…

Data Structures and Algorithms · Computer Science 2018-11-06 Gautam Kamath , Christos Tzamos

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

Information Theory · Computer Science 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

Applications · Statistics 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu