Abstract
Functional Data Analysis (FDA) is a modern statistical technique that deals with data in the form of curves or functions. It has recently gained popularity in the field of fault detection as it can capture the dynamic behavior of a system over time. In this paper, we explore the fault detection capabilities of functional data depth calculated by different methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aneiros, Germán, Horová, Ivana, Hušková, Marie, Vieu, Philippe: On functional data analysis and related topics. Journal of Multivariate Analysis 189, 104861 (2022)
Baranowski, Jerzy, Grobler-Dębska, Katarzyna, Kucharska, Edyta: Recognizing VSC DC cable fault types using bayesian functional data depth. Energies 14(18), 5893 (2021)
Waldemar Bauer, Adrian Dudek, and Jerzy Baranowski. Recognizing commutator motors fault from acoustics signals using bayesian functional data depth. In 2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, aug 2022
Feriel Boulfani, Xavier Gendre, Anne Ruiz-Gazen, and Martina Salvignol. Anomaly detection for aircraft electrical generator using machine learning in a functional data framework. In 2020 Global Congress on Electrical Engineering (GC-ElecEng). IEEE, sep 2020
Christian Capezza, Fabio Centofanti, Antonio Lepore, and Biagio Palumbo. A functional data analysis approach for the monitoring of ship CO2 emissions. Gestão & Produção, 28(3), 2021
Chenouri, Shojaeddin, Small, Christopher G., Farrar, Thomas J.: Data depth-based nonparametric scale tests. The Canadian Journal of Statistics / La Revue Canadienne de Statistique 39(2), 356–369 (2011)
Gijbels, Irène., Nagy, Stanislav: On a general definition of depth for functional data. Statistical Science 32(4), 630–639 (2017)
Idris, Suwanda, Wachidah, Lisnur, Sofiyayanti, Teti, Harahap, Erwin: The control chart of data depth based on influence function of variance vector. Journal of Physics: Conference Series 1366, 012125 (2019)
Aurora Kuras. Functional data analysis for detecting faults in water and wastewater treatment, 2022
LoMauro, A., Colli, A., Colombo, L., Aliverti, A.: Breathing patterns recognition: A functional data analysis approach. Computer Methods and Programs in Biomedicine 217, 106670 (2022)
JJ Mesas, Ll Monjo, L Sainz, and J Pedra. Cable fault characterization in vsc dc systems. In 2016 International Symposium on Fundamentals of Electrical Engineering (ISFEE), pages 1–5. IEEE, 2016
Morris, Jeffrey S., Carroll, Raymond J.: Wavelet-based functional mixed models. Journal of the Royal Statistical Society Series B: Statistical Methodology 68(2), 179–199 (2006)
Stanislav Nagy and Frédéric Ferraty. Data depth for measurable noisy random functions. Journal of Multivariate Analysis, 170:95–114, 2019. Special Issue on Functional Data Analysis and Related Topics
Nieto-Reyes, Alicia, Battey, Heather: A topologically valid definition of depth for functional data. Statistical Science 31(1), 61–79 (2016)
Ramsay, James, Hooker, Giles, Graves, Spencer: Functional Data Analysis with R and MATLAB. Springer, New York (2009)
Javier Martínez Torres, Jorge Pastor Pérez, Joaquín Sancho Val, Aonghus McNabola, Miguel Martínez Comesaña, and John Gallagher. A functional data analysis approach for the detection of air pollution episodes and outliers: A case study in dublin, ireland. Mathematics, 8(2):225, 2020
Tukey, John: Mathematics and the picturing of data. Proceedings of the International Congress of Mathematicians 2, 523–531 (1975)
Vinue, Guillermo, Epifanio, Irene: Robust archetypoids for anomaly detection in big functional data. Advances in Data Analysis and Classification 15(2), 437–462 (2020)
Xiao-Yong Wang, Zhi-Ying Gao, and Yan-Li Xin. Multi-step-ahead prediction of cold rolling chatter state based on the combination of functional data analysis and general autoregression model. SN Applied Sciences, 5(5), apr 2023
Weishampel, Anthony, Staicu, Ana-Maria., Rand, William: Classification of social media users with generalized functional data analysis. Computational Statistics & Data Analysis 179, 107647 (2023)
Yi, Yuyan, Billor, Nedret, Liang, Mingli, Cao, Xuan, Ekstrom, Arne, Zheng, Jingyi: Classification of EEG signals: An interpretable approach using functional data analysis. Journal of Neuroscience Methods 376, 109609 (2022)
Acknowledgements
Work partially realised in the scope of project titled ”Process Fault Prediction and Detection”. Project was financed by The National Centre for Research and Development on the base of decision no. UMO-2021/41/B/ST7/03851. Part of work was funded by AGH’s Research University Excellence Initiative under project “Interpretable methods of process diagnosis using statistics and machine learning”.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Bauer, W., Dudek, A., Baranowski, J. (2023). Comparison of Data Depth Calculation Method for Fault Detection in Electric Signal. In: Pawelczyk, M., Bismor, D., Ogonowski, S., Kacprzyk, J. (eds) Advanced, Contemporary Control. PCC 2023. Lecture Notes in Networks and Systems, vol 709. Springer, Cham. https://doi.org/10.1007/978-3-031-35173-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-031-35173-0_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-35172-3
Online ISBN: 978-3-031-35173-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)