A nonlinear orthogonal non-negative matrix factorization approach to subspace clustering

作者:

Highlights:

• Subspace clustering is solved from nonlinear orthogonal NMF perspective.

• General kernel-based multiplicative orthogonal updates for NMF are derived.

• Explicit orthogonality constraint excludes the usual k-means clustering step.

• The local geometric structure is included via fully connected graph regularization.

• A connection between spectral clustering and kernel orthogonal NMF is established.

摘要

•Subspace clustering is solved from nonlinear orthogonal NMF perspective.•General kernel-based multiplicative orthogonal updates for NMF are derived.•Explicit orthogonality constraint excludes the usual k-means clustering step.•The local geometric structure is included via fully connected graph regularization.•A connection between spectral clustering and kernel orthogonal NMF is established.

论文关键词:Subspace clustering,Non-negative matrix factorization,Orthogonality,Kernels,Graph regularization

论文评审过程:Received 28 March 2017, Revised 22 March 2018, Accepted 27 April 2018, Available online 2 May 2018, Version of Record 15 June 2018.

论文官网地址:https://doi.org/10.1016/j.patcog.2018.04.029