Outlier Detection of Poisson-Distributed Targets Using a Seabed Sensor Network

Fuente: arXiv
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Main Authors: Kim, Mingyu, Stilwell, Daniel, Jimenez, Jorge
Format: Preprint
Published: 2025
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author Kim, Mingyu
Stilwell, Daniel
Jimenez, Jorge
author_facet Kim, Mingyu
Stilwell, Daniel
Jimenez, Jorge
contents This paper presents a framework for classifying and detecting spatial commission outliers in maritime environments using seabed acoustic sensor networks and log Gaussian Cox processes (LGCPs). By modeling target arrivals as a mixture of normal and outlier processes, we estimate the probability that a newly observed event is an outlier. We propose a second-order approximation of this probability that incorporates both the mean and variance of the normal intensity function, providing improved classification accuracy compared to mean-only approaches. We analytically show that our method yields a tighter bound to the true probability using Jensen's inequality. To enhance detection, we integrate a real-time, near-optimal sensor placement strategy that dynamically adjusts sensor locations based on the evolving outlier intensity. The proposed framework is validated using real ship traffic data near Norfolk, Virginia, where numerical results demonstrate the effectiveness of our approach in improving both classification performance and outlier detection through sensor deployment.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13099
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Outlier Detection of Poisson-Distributed Targets Using a Seabed Sensor Network
Kim, Mingyu
Stilwell, Daniel
Jimenez, Jorge
Machine Learning
Information Theory
This paper presents a framework for classifying and detecting spatial commission outliers in maritime environments using seabed acoustic sensor networks and log Gaussian Cox processes (LGCPs). By modeling target arrivals as a mixture of normal and outlier processes, we estimate the probability that a newly observed event is an outlier. We propose a second-order approximation of this probability that incorporates both the mean and variance of the normal intensity function, providing improved classification accuracy compared to mean-only approaches. We analytically show that our method yields a tighter bound to the true probability using Jensen's inequality. To enhance detection, we integrate a real-time, near-optimal sensor placement strategy that dynamically adjusts sensor locations based on the evolving outlier intensity. The proposed framework is validated using real ship traffic data near Norfolk, Virginia, where numerical results demonstrate the effectiveness of our approach in improving both classification performance and outlier detection through sensor deployment.
title Outlier Detection of Poisson-Distributed Targets Using a Seabed Sensor Network
topic Machine Learning
Information Theory
url https://arxiv.org/abs/2508.13099