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Consider a star network where each local node possesses a set of test statistics that exhibit a symmetric distribution around zero when their corresponding null hypothesis is true. This paper investigates statistical inference problems in…

Methodology · Statistics 2023-11-29 Mehrdad Pournaderi , Yu Xiang

We consider a sequential problem in decentralized detection. Two observers can make repeated noisy observations of a binary hypothesis on the state of the environment. At any time, any of the two observers can stop and send a final message…

Optimization and Control · Mathematics 2015-03-17 Ashutosh Nayyar , Demosthenis Teneketzis

We address the optimal transmit power allocation problem (from the sensor nodes (SNs) to the fusion center (FC)) for the decentralized detection of an unknown deterministic spatially uncorrelated signal which is being observed by a…

Systems and Control · Computer Science 2015-06-04 Edmond Nurellari , Des McLernon , Mounir Ghogho , Syed Ali Raza Zaidi

We explore the problem of distributed Hypothesis Testing (DHT) against independence, focusing specifically on Binary Symmetric Sources (BSS). Our investigation aims to characterize the optimal quantizer among binary linear codes, with the…

Information Theory · Computer Science 2024-10-23 Fatemeh Khaledian , Reza Asvadi , Elsa Dupraz , Tad Matsumoto

In this article, we consider the problem of distributed detection of a localized radio source emitting a signal. We consider that geographically distributed sensor nodes obtain energy measurements and compute cooperatively a statistic to…

Signal Processing · Electrical Eng. & Systems 2023-12-20 Juan Augusto Maya , Leonardo Rey Vega , Andrea M. Tonello

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

Machine Learning · Computer Science 2023-05-23 Mario Krause

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

We consider a joint source channel coding (JSCC) problem in which we desire to transmit an arbitrary memoryless source over an arbitrary additive channel. We propose a mismatched coding architecture that consists of Gaussian codebooks for…

Information Theory · Computer Science 2018-09-03 Lin Zhou , Vincent Y. F. Tan , Mehul Motani

This paper studies the problem of distributed classification with a network of heterogeneous agents. The agents seek to jointly identify the underlying target class that best describes a sequence of observations. The problem is first…

Artificial Intelligence · Computer Science 2020-11-24 James Z. Hare , Cesar A. Uribe , Lance Kaplan , Ali Jadbabaie

We extend the use of Classification Without Labels for anomaly detection with a hypothesis test designed to exclude the background-only hypothesis. By testing for statistical independence of the two discriminating dataset regions, we are…

High Energy Physics - Phenomenology · Physics 2023-03-16 Jernej F. Kamenik , Manuel Szewc

The design of communication systems dedicated to machine learning tasks is one key aspect of goal-oriented communications. In this framework, this article investigates the interplay between data reconstruction and learning from the same…

Information Theory · Computer Science 2024-04-30 Jiahui Wei , Elsa Dupraz , Philippe Mary

We consider the problem of detecting the presence of a spatially correlated multichannel signal corrupted by additive Gaussian noise (i.i.d across sensors). No prior knowledge is assumed about the system parameters such as the noise…

Information Theory · Computer Science 2013-04-19 Vidyadhar Upadhya , Devendra Jalihal

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

Statistics Theory · Mathematics 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

I. This paper is devoted to the problem of error detection with quantum codes. In the first part we examine possible problem settings for quantum error detection. Our goal is to derive a functional that describes the probability of…

Quantum Physics · Physics 2007-05-23 Alexei Ashikhmin , Alexander Barg , Emanuel Knill , Simon Litsyn

We study the problem of Out-of-Distribution (OOD) detection, that is, detecting whether a learning algorithm's output can be trusted at inference time. While a number of tests for OOD detection have been proposed in prior work, a formal…

Machine Learning · Statistics 2023-09-19 Akshayaa Magesh , Venugopal V. Veeravalli , Anirban Roy , Susmit Jha

In multiple classification, one aims to determine whether a testing sequence is generated from the same distribution as one of the M training sequences or not. Unlike most of existing studies that focus on discrete-valued sequences with…

Machine Learning · Statistics 2024-10-30 Lina Zhu , Lin Zhou

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

We consider a setting of Slepian--Wolf coding, where the random bin of the source vector undergoes channel coding, and then decoded at the receiver, based on additional side information, correlated to the source. For a given distribution of…

Information Theory · Computer Science 2016-01-26 Neri Merhav
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