Subspace clustering using a symmetric low-rank representation

作者:

Highlights:

• A symmetric constraint is integrated into the low-rankness of data representation.

• A proof for minimizing the nuclear-norm problem with a symmetric constraint is given.

• The angular of the principal directions of the low-rank representation is exploited.

• eLRRSC attempts to seek a low-rank representation using a closed form solution.

• It generalizes the LRR-based subspace clustering framework with two key steps.

摘要

•A symmetric constraint is integrated into the low-rankness of data representation.•A proof for minimizing the nuclear-norm problem with a symmetric constraint is given.•The angular of the principal directions of the low-rank representation is exploited.•eLRRSC attempts to seek a low-rank representation using a closed form solution.•It generalizes the LRR-based subspace clustering framework with two key steps.

论文关键词:Low-rank representation,Subspace clustering,Affinity matrix learning,Spectral clustering

论文评审过程:Received 18 November 2016, Revised 26 February 2017, Accepted 28 February 2017, Available online 1 March 2017, Version of Record 12 May 2017.

论文官网地址:https://doi.org/10.1016/j.knosys.2017.02.031