Fault detection based on optimal transport theory

Bingsen Wang, Piero Baraldi, Xuefei Lu, Enrico Zio

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

Most of the existing methods for fault detection are residual-based, i.e., they reconstruct the expected values of the signals in normal condition by using large amounts of data collected in the past and require to formulate hypotheses on the distributions. Since in many industrial applications the available data do not cover all the possible operating conditions and data distributions are unknown, their performance can be unsatisfactory. In this work, we propose a data-driven fault detection method based on Optimal Transport (OT). The Wasserstein distance between the distribution of the signals measured under the current conditions and a baseline distribution derived from the signals measured under normal conditions is used as abnormality score, and the OT solution is computed using the Cumulative Distribution Transform (CDT). The proposed method is verified considering a real bearing dataset. The performance of the detection is evaluated in terms of missed and false alarm rates, and compared to that of other traditional fault detection methods.

Original languageEnglish
Title of host publicationProceedings of the 30th European Safety and Reliability Conference and the 15th Probabilistic Safety Assessment and Management Conference
EditorsPiero Baraldi, Francesco Di Maio, Enrico Zio
PublisherResearch Publishing, Singapore
Pages1764-1771
Number of pages8
ISBN (Print)9789811485930
DOIs
Publication statusPublished - 1 Jan 2020
Event30th European Safety and Reliability Conference, ESREL 2020 and 15th Probabilistic Safety Assessment and Management Conference, PSAM15 2020 - Venice, Italy
Duration: 1 Nov 20205 Nov 2020

Publication series

NameProceedings of the 30th European Safety and Reliability Conference and the 15th Probabilistic Safety Assessment and Management Conference

Conference

Conference30th European Safety and Reliability Conference, ESREL 2020 and 15th Probabilistic Safety Assessment and Management Conference, PSAM15 2020
Country/TerritoryItaly
CityVenice
Period1/11/205/11/20

Keywords / Materials (for Non-textual outputs)

  • abnormality score
  • cumulative distribution transform
  • data-driven
  • fault detection
  • optimal transport
  • Wasserstein distance

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