Semi-supervised classification for rolling fault diagnosis via robust sparse and low-rank model

Rolling element bearings play an important role in ensuring the availability of industrial machines. Unexpected bearing failures in such machines during field operation can lead to machine breakdown, which may have some pretty severe implications. However, the insufficiency of labeled samples is major problem for handling fault diagnosis problem. To address such concern, we propose a semi-supervised method for diagnosing faulty bearings by utilizing unlabeled samples. The superiority of our algorithm has been validated by comparison with other state-of art methods based on a rolling element bearing data. The classification accuracy of bearing data show that our algorithm is able to recognize different bearing fault categories effectively. Thus, it can be considered as a promising method for fault diagnosis.

[1]  Wei Liu,et al.  Robust and Scalable Graph-Based Semisupervised Learning , 2012, Proceedings of the IEEE.

[2]  M. Elad,et al.  $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation , 2006, IEEE Transactions on Signal Processing.

[3]  Zhao Zhang,et al.  Fault diagnosis of rolling element bearings via discriminative subspace learning: Visualization and classification , 2014, Expert Syst. Appl..

[4]  Tommy W. S. Chow,et al.  Motor Bearing Fault Diagnosis Using Trace Ratio Linear Discriminant Analysis , 2014, IEEE Transactions on Industrial Electronics.

[5]  Alan L. Yuille,et al.  Semi-Supervised Sparse Representation Based Classification for Face Recognition With Insufficient Labeled Samples , 2016, IEEE Transactions on Image Processing.

[6]  Tommy W. S. Chow,et al.  Soft label based Linear Discriminant Analysis for image recognition and retrieval , 2014, Comput. Vis. Image Underst..

[7]  Mikhail Belkin,et al.  Manifold Regularization: A Geometric Framework for Learning from Labeled and Unlabeled Examples , 2006, J. Mach. Learn. Res..

[8]  Li Zhang,et al.  Joint Label Consistent Dictionary Learning and Adaptive Label Prediction for Semisupervised Machine Fault Classification , 2016, IEEE Transactions on Industrial Informatics.

[9]  Chris H. Q. Ding,et al.  Robust Non-Negative Dictionary Learning , 2014, AAAI.

[10]  Fei Wang,et al.  Label Propagation through Linear Neighborhoods , 2008, IEEE Trans. Knowl. Data Eng..

[11]  Yuxiao Hu,et al.  Face recognition using Laplacianfaces , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  R. Vidal,et al.  Sparse Subspace Clustering: Algorithm, Theory, and Applications. , 2013, IEEE transactions on pattern analysis and machine intelligence.

[13]  Zoubin Ghahramani,et al.  Combining active learning and semi-supervised learning using Gaussian fields and harmonic functions , 2003, ICML 2003.

[14]  Bernhard Schölkopf,et al.  Learning with Local and Global Consistency , 2003, NIPS.

[15]  Tommy W. S. Chow,et al.  Automatic image annotation via compact graph based semi-supervised learning , 2015, Knowl. Based Syst..

[16]  Chun Chen,et al.  Graph Regularized Sparse Coding for Image Representation , 2011, IEEE Transactions on Image Processing.

[17]  Tommy W. S. Chow,et al.  Trace ratio criterion based generalized discriminative learning for semi-supervised dimensionality reduction , 2012, Pattern Recognit..

[18]  Wenbin Wang,et al.  Economic Analysis of Canary-Based Prognostics and Health Management , 2011, IEEE Transactions on Industrial Electronics.

[19]  Li Zhang,et al.  Structured Latent Label Consistent Dictionary Learning for Salient Machine Faults Representation-Based Robust Classification , 2017, IEEE Transactions on Industrial Informatics.

[20]  Feiping Nie,et al.  A general graph-based semi-supervised learning with novel class discovery , 2010, Neural Computing and Applications.

[21]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[22]  Feiping Nie,et al.  Efficient and Robust Feature Selection via Joint ℓ2, 1-Norms Minimization , 2010, NIPS.

[23]  S T Roweis,et al.  Nonlinear dimensionality reduction by locally linear embedding. , 2000, Science.

[24]  Wei Liu,et al.  Large Graph Construction for Scalable Semi-Supervised Learning , 2010, ICML.

[25]  H. Sebastian Seung,et al.  Learning the parts of objects by non-negative matrix factorization , 1999, Nature.

[26]  Tommy W. S. Chow,et al.  A general soft label based Linear Discriminant Analysis for semi-supervised dimensionality reduction , 2014, Neural Networks.

[27]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[28]  A. Bruckstein,et al.  K-SVD : An Algorithm for Designing of Overcomplete Dictionaries for Sparse Representation , 2005 .

[29]  Tommy W. S. Chow,et al.  Learning from normalized local and global discriminative information for semi-supervised regression and dimensionality reduction , 2015, Inf. Sci..

[30]  Michael G. Pecht,et al.  Health Monitoring of Cooling Fans Based on Mahalanobis Distance With mRMR Feature Selection , 2012, IEEE Transactions on Instrumentation and Measurement.