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Sparse representation theory for support vector machine kernel function selection and its application in high-speed

Baojian Wang1, Xiaoli Zhang2, Suo Xing1

  • 1School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China.

ISA Transactions
|February 15, 2021
PubMed
Summary

This study introduces a novel kernel function selection mechanism for Support Vector Machines (SVMs) using sparse representation, significantly improving bearing fault diagnosis accuracy. The method efficiently identifies optimal kernel types and parameters for enhanced machine health monitoring.

Keywords:
Fault diagnosisHigh-speed bearingsKernel functionsSparse representationSupport vector machine

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Area of Science:

  • Machine Learning
  • Mechanical Engineering
  • Signal Processing

Background:

  • Support Vector Machines (SVMs) are powerful classification tools but their performance heavily relies on appropriate kernel function selection.
  • Bearing fault diagnosis is critical for industrial machinery maintenance, demanding accurate and reliable detection methods.

Purpose of the Study:

  • To propose and validate a novel kernel function selection mechanism for SVMs tailored for bearing fault diagnosis.
  • To enhance the accuracy and robustness of SVM-based fault diagnosis through optimized kernel selection.

Main Methods:

  • A comprehensive search of 125,150 kernel function types and parameters was performed.
  • Sparse representation and the Orthogonal Matching Pursuit (OMP) algorithm were employed for kernel selection.
  • Particle Swarm Optimization (PSO) was used to fine-tune parameters for classifying unknown data.

Main Results:

  • The proposed mechanism successfully identified the most suitable kernel function and parameters for given datasets.
  • The SVM with the selected kernel demonstrated superior performance in high-speed bearing fault diagnosis simulations and experiments.

Conclusions:

  • The developed kernel function selection mechanism offers a superior approach for SVM-based bearing fault diagnosis.
  • This method provides a robust and accurate solution for identifying faults in rotating machinery.