Working Paper Article Version 1 This version is not peer-reviewed

A Novel Deep Clustering Method and Indicator for Time Series Soft Partitioning

Version 1 : Received: 22 July 2021 / Approved: 26 July 2021 / Online: 26 July 2021 (17:31:56 CEST)

How to cite: Eid, A.; Clerc, G.; Mansouri, B.; Roux, S. A Novel Deep Clustering Method and Indicator for Time Series Soft Partitioning. Preprints 2021, 2021070594 Eid, A.; Clerc, G.; Mansouri, B.; Roux, S. A Novel Deep Clustering Method and Indicator for Time Series Soft Partitioning. Preprints 2021, 2021070594

Abstract

The aerospace industry develops prognosis and health management algorithms to ensure better safety on board. Particularly for in-flight controls where jamming is dreaded. For that, vibration signals are monitored to predict future defect occurrences. However, time series are not labeled according to severity level, and the user can only assess the system health from the data mining procedure. To that extent, we developed a clustering algorithm using a deep neural network core. We encoded the time series into pictures to be feed into an artificially trained neural network: U-NET. From the segmented output, one-dimensional information on cluster frontiers is extracted and filtered without any parameter selection. Then, a kernel density estimation finally transforms the signal into an empirical density. Ultimately, a Gaussian mixture model extracts the latter independent components. The method empowered us to reveal different degrees of severity faults in the studied data, with their respective likelihood without prior knowledge. We compared it to state-of-the-art machine learning algorithms. However, internal clustering results evaluation for time series is an open question. As state-of-the-art indexes were not producing relevant results, we built a new indicator to fulfill this task. We applied the whole method to an actuator consisting of an induction machine linked to a ball screw. This study lays the groundwork for future training of diagnosis and prognosis structures in the health management framework.

Keywords

semantic segmentation; time series; clustering; deep learning; kernel density estimation; electromechanical actuator; data labelling; prognosis and health management; aeronautics

Subject

Computer Science and Mathematics, Artificial Intelligence and Machine Learning

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