Skip to main content
Log in

Integrating Laplacian Eigenmaps Feature Space Conversion into Deep Neural Network for Equipment Condition Assessment

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

Reliable equipment condition assessment technique is playing an increasingly important role in modern industry. This paper presents a novel method by integrating Laplacian Eigenmaps (LE) that transforms data features from original high-dimensional space to projected low-dimensional space to extract the more representative features into deep neural network (DNN) for equipment health assessment, in which the bearing run-to-failure data were investigated for validation studies. Through a series of comparison experiments with the original features, two other popular space transformation methods principal component analysis (PCA) and Isometric map (Isomap), and two other artificial intelligence algorithms hidden Markov model (HMM) and back-propagation neural network (BPNN), the proposed method in this paper was proved more effective for equipment condition evaluation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.
Fig. 10.

Similar content being viewed by others

REFERENCES

  1. Yin, A., Lu, J., Dai, Z., Li, J., and Ouyang, Q., Isomap and deep belief network-based equipment health combined assessment model, Strojniški Vestn., 2016, vol. 62, no. 12, pp. 740–750.

    Article  Google Scholar 

  2. Loutridis, S., Instantaneous energy density as a feature for gear fault detection, Mech. Syst. Signal Process., 2006, vol. 20, no. 5, pp. 1239–1253.

    Article  Google Scholar 

  3. Öztürk, H., Sabuncu, M., and Yesilyurt, I., Early detection of pitting damage in gears using mean frequency of scalogram, J. Vib. Control, 2008, vol. 14, no. 4, pp. 469–484.

    Article  MATH  Google Scholar 

  4. Loutridis, S., Self-similarity in vibration time series: Application to gear fault diagnostics, J. Vib. Acoust., 2008, vol. 130, no. 3, pp. 569–583.

    Article  Google Scholar 

  5. Yu, D., Yang, Y., and Cheng, J., Application of time-frequency entropy method based on Hilbert–Huang transform to gear fault diagnosis, Measurement, 2007, vol. 40, nos. 9–10, pp. 823–830.

    Article  Google Scholar 

  6. Cui, J. and Wang, Y.R., A novel approach of analog circuit fault diagnosis using support vector machines classifier, Measurement, 2011, vol. 44, no. 1, pp. 281–289.

    Article  Google Scholar 

  7. Zhu, J., Ge, Z., and Song, Z., HMM-driven robust probabilistic principal component analyzer for dynamic process fault classification, IEEE Trans. Ind. Electron., 2015, vol. 62, no. 6, pp. 3814–3821.

    Google Scholar 

  8. Yan, J. and Guo, C., A dynamic multi-scale Markov model based methodology for remaining life prediction, Mech. Syst. Signal Process., 2011, vol. 25, no. 4, pp. 1364–1376.

    Article  Google Scholar 

  9. Lecun, Y., Bottou, L., Bengio, Y., and Haffner, P., Gradient-based learning applied to document recognition, Proc. IEEE, 1998, vol. 86, no. 11, pp. 2278–2324.

    Article  Google Scholar 

  10. Tran, V.T., Yang, B.-S., Oh, M.-S., and Tan, A.C.C., Fault diagnosis of induction motor based on decision trees and adaptive neuro-fuzzy inference, Expert Syst. Appl., 2009, vol. 36, no. 2, pp. 1840–1849.

    Article  Google Scholar 

  11. Hinton, G.E. and Salakhutdinov, R.R., Reducing the dimensionality of data with neural networks, Science, 2006, vol. 313, no. 5786, pp. 504–507.

    Article  MathSciNet  MATH  Google Scholar 

  12. Meng Gan, Cong Wang, and Chang’an Zhu, Construction of hierarchical diagnosis network based on deep learning and its application in the fault pattern recognition of rolling element bearings, Mech. Syst. Signal Process., 2016, vols. 72–73, no. 2, pp. 92–104.

    Article  Google Scholar 

  13. Feng, Z., Zuo, M.J., and Chu, F., Application of regularization dimension to gear damage assessment, Mech. Syst. Signal Process., 2010, vol. 24, no. 4, pp. 1081–1098.

    Article  Google Scholar 

  14. Klein, R., Ingman, D., and Braun, S., Non-stationary signals: Phase-energy approach theory and simulations, Mech. Syst. Signal Process., 2001, vol. 15, no. 6, pp. 1061–1089.

    Article  Google Scholar 

  15. Baydar, N. and Ball, A., A comparative study of acoustic and vibration signals in detection of gear failures using Wigner–Ville distribution, Mech. Syst. Signal Process., 2001, vol. 15, no. 6, pp. 1091–1107.

    Article  Google Scholar 

  16. He, Q.B., Vibration signal classification by wavelet packet energy flow manifold learning, J. Sound Vib., 2013, vol. 332, no. 7, pp. 1881–1894.

    Article  Google Scholar 

  17. Gharavian, M.H., Almas Ganj, F., Ohadi, A.R., et al., Comparison of FDA-Based and PCA-based features in fault diagnosis of automobile gearboxes, Neurocomputing, 2013, vol. 121, no. 2, pp. 150–159.

    Article  Google Scholar 

  18. Zhu, Z.B. and Song, Z.H., A novel fault diagnosis system using pattern classification on kernel FDA subspace, Expert Syst. Appl., 2011, vol. 38, no. 6, pp. 6895–6905.

    Article  Google Scholar 

  19. Tenenbaum, J.B., Silva, V.D., and Langford, J.C., A global geometric framework for nonlinear dimensionality reduction, Science, 2000, vol. 290, no. 5500, pp. 2319–2323.

    Article  Google Scholar 

  20. Belkin, M. and Niyogi, P., Laplacian eigenmaps for dimensionality reduction and data representation, Neural Comput., 2003, vol. 15, no. 6, pp. 1373–1396.

    Article  MATH  Google Scholar 

  21. Roweis, S.T. and Saul, L.K., Nonlinear dimensionality reduction by locally linear embedding, Science, 2000, vol. 290, no. 5500, pp. 2323–2326.

    Article  Google Scholar 

  22. Hemmatia, F., Orfalib, W., and Gadalaa, M.S., Roller bearing acoustic signature extraction by wavelet packet transform, applications in fault detection and size estimation, Appl. Acoust., 2016, vol. 104, pp. 101–118.

    Article  Google Scholar 

  23. Hauberg, S., Principal curves on Riemannian manifolds, IEEE Trans. Pattern Anal. Equip. Intell., 2015, vol. 38, no. 9, pp. 1915–1921.

    Article  Google Scholar 

  24. Belkin, M. and Niyogi, P., Laplacian eigenmaps for dimensionality reduction and data representation, Neural Comput., 2003, vol. 15, no. 6, pp. 1373–1396.

    Article  MATH  Google Scholar 

  25. Ayyoob, J. and Farshad, A., Using Laplacian eigenmaps latent variable model and manifold learning to improve speech recognition accuracy, Speech Commun., 2010, vol. 52, no. 9, pp. 725–735.

    Article  Google Scholar 

  26. Hinton, G.E., Osindero, S., and Teh, Y.W., A fast learning algorithm for deep belief nets, Neural Comput., 2006, vol. 18, no. 7, pp. 1527–1554.

    Article  MathSciNet  MATH  Google Scholar 

  27. Tran, V.T., AlThobiani, F., and Ball, A., An approach to fault diagnosis of reciprocating compressor valves using Teager-Kaiser energy operator and deep belief networks, Expert Syst. Appl., 2014, vol. 41, no. 9, pp. 4113–4122.

    Article  Google Scholar 

  28. Lee, J., Qiu, H., Yu, G., and Lin, J., Rexnord Technical Services: Bearing Data Set, Moffett Field, CA: IMS, Univ. Cincinnati. NASA Ames Prognostics Data Repository, NASA Ames, 2007.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sheng Guo.

Additional information

The article is published in the original.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Guo, S., Sun, Y., Wu, F. et al. Integrating Laplacian Eigenmaps Feature Space Conversion into Deep Neural Network for Equipment Condition Assessment. Aut. Control Comp. Sci. 52, 465–475 (2018). https://doi.org/10.3103/S0146411618060056

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411618060056

Keywords:

Navigation