Manifold regularized support higher-order tensor machines for semi-supervised fault diagnosis of planetary gearboxes
In this study,a novel semi-supervised fault diagnosis of planetary gearboxes based on manifold regularized support high-er-order tensor machines(MRSHTM)is proposed.In the MRSHTM,CANDECOMP/PARAFAC(CP)decomposition is intro-duced to exploit the intrinsic structural information of tensor data,and tensor-based inverse multiquadric kernel function(Tensor-IMKF)is defined to construct a Laplacian operator.The constructed graph matrix can better describe the manifold structure be-tween tensor data.Besides,the one-versus-rest(OVR)strategy is introduced into the MRSHTM model for multi-class fault diag-nosis of planetary gearboxes.Hierarchical multiscale permutation entropy(HMPE)is adopted to extract the three-order tensor fea-tures"channel×hierarchical layer×scale",and then the extracted HMPE values are fed into OVR-MRSHTM for automatic fault identification.The results suggest that the proposed method can achieve semi-supervised fault diagnosis of planetary gearboxes in tensor space.