Semi-supervised label consistent dictionary learning for machine fault classification

In this paper, we mainly present a Semi-Supervised Label Consistent KSVD (S2KSVD) algorithm for representing and classifying machine faults. The formulation of our S2KSVD is an improvement to the recent label consistent K-SVD (LC-KSVD), because LC-KSVD is a fully supervised approach, and needs to use supervised class information of all training data to compute a reconstructive & discriminative dictionary. But labeled signals are often expensive to obtain, while in contrast unlabeled signals can be easily captured with low expense from the real world. Thus, the application of LC-KSVD may be constrained in reality. To address this problem, we present S2KSVD through involving a computationally efficient label propagation (LP) process as a preprocessing step. The core idea is to employ the LP process to estimate the labels of unlabeled signals so that supervised prior knowledge that can significantly enhance classification can be increased. Simulation results on several machine fault datasets demonstrate that our algorithm delivers promising performance for machine fault classification.

[1]  Joel A. Tropp,et al.  Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit , 2007, IEEE Transactions on Information Theory.

[2]  Jean Ponce,et al.  Task-Driven Dictionary Learning , 2010, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[4]  Svetha Venkatesh,et al.  Joint learning and dictionary construction for pattern recognition , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[5]  Ming-Hsuan Yang,et al.  Top-down visual saliency via joint CRF and dictionary learning , 2012, CVPR.

[6]  Larry S. Davis,et al.  Label Consistent K-SVD: Learning a Discriminative Dictionary for Recognition , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  J. Andrew Bagnell,et al.  Differential Sparse Coding , 2008 .

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

[9]  Elke Achtert,et al.  Efficient reverse k-nearest neighbor search in arbitrary metric spaces , 2006, SIGMOD Conference.

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

[11]  Michael Elad,et al.  Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries , 2006, IEEE Transactions on Image Processing.

[12]  Tommy W. S. Chow,et al.  Weighted local and global regressive mapping: A new manifold learning method for machine fault classification , 2014, Eng. Appl. Artif. Intell..

[13]  Frédo Durand,et al.  View-dependent precomputed light transport using nonlinear Gaussian function approximations , 2006, I3D '06.

[14]  Kjersti Engan,et al.  Frame based signal compression using method of optimal directions (MOD) , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[15]  Guillermo Sapiro,et al.  Discriminative learned dictionaries for local image analysis , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[16]  Marc'Aurelio Ranzato,et al.  Efficient Learning of Sparse Representations with an Energy-Based Model , 2006, NIPS.

[17]  Chengliang Liu,et al.  Robust Visual Monitoring of Machine Condition with Sparse Coding and Self-Organizing Map , 2010, ICIRA.

[18]  Yihong Gong,et al.  Locality-constrained Linear Coding for image classification , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[19]  Peter J. Kootsookos,et al.  MODELING OF LOW SHAFT SPEED BEARING FAULTS FOR CONDITION MONITORING , 1998 .

[20]  Yixiang Huang,et al.  Adaptive feature extraction using sparse coding for machinery fault diagnosis , 2011 .

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

[22]  Baoxin Li,et al.  Discriminative K-SVD for dictionary learning in face recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

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