Interpretable Sensor Change Detection via Conditional Cauchy–Schwarz Divergence

Detecting distributional changes in multivariate sensor networks is a fundamental task for monitoring complex systems such as industrial processes, structural health monitoring, and large-scale Internet of Things infrastructures. Despite significant progress, most existing change-point detection methods either operate on high-dimensional observations in a black-box manner or provide limited insight into how inter-sensor dependencies evolve over time, thereby restricting their practical utility in safety-critical applications. In this work, we propose an interpretable change detection framework based on the Cauchy-Schwarz (CS) divergence. By extending CS divergence to conditional distributions over sensor variables, the proposed method detects distributional shifts through changes in sensor-wise conditional relationships. This design enables reliable change detection while simultaneously providing transparent sensor-level explanations of detected changes. Extensive experiments on synthetic data, generic multivariate sensor time series, and a large-scale industrial process benchmark demonstrate that the proposed method achieves competitive or superior detection performance compared to representative baselines, while offering fine-grained interpretability for practical sensor monitoring systems.

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Publication Details

Journal
Sensors
Published
2026-03-12
DOI
https://doi.org/10.3390/s26061791
Primary Topic
Data Stream Mining Techniques
Type
article
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article

Interpretable Sensor Change Detection via Conditional Cauchy–Schwarz Divergence

Wangyu Wu, Wenyu Wang, Yuan Shen, Yao Ni
Sensors
Data Stream Mining Techniques
article

Interpretable Sensor Change Detection via Conditional Cauchy–Schwarz Divergence

Wangyu Wu, Wenyu Wang, Yuan Shen, Yao Ni
article en

Abstract

Detecting distributional changes in multivariate sensor networks is a fundamental task for monitoring complex systems such as industrial processes, structural health monitoring, and large-scale Internet of Things infrastructures. Despite significant progress, most existing change-point detection methods either operate on high-dimensional observations in a black-box manner or provide limited insight into how inter-sensor dependencies evolve over time, thereby restricting their practical utility in safety-critical applications. In this work, we propose an interpretable change detection framework based on the Cauchy-Schwarz (CS) divergence. By extending CS divergence to conditional distributions over sensor variables, the proposed method detects distributional shifts through changes in sensor-wise conditional relationships. This design enables reliable change detection while simultaneously providing transparent sensor-level explanations of detected changes. Extensive experiments on synthetic data, generic multivariate sensor time series, and a large-scale industrial process benchmark demonstrate that the proposed method achieves competitive or superior detection performance compared to representative baselines, while offering fine-grained interpretability for practical sensor monitoring systems.

SensorsVol. 26(6)
Guangdong University of Technology (CN), University of Liverpool (GB), Meta (United States) (US), Guangdong Hiway Integrated Circuit Technology (China) (CN), University College London (GB)
Industry, innovation and infrastructure
Openalex Percentile: Top 29%
Data Stream Mining Techniques
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