Sparse subspace clustering via Low-Rank structure propagation

作者:

Highlights:

• A novel data sample representation is proposed, where a low-rank structure is propagated in the sparse representation. Based on the representation, a self-expression is constructed for subspace clustering. Experimental results on synthesis datasets and several real datasets demonstrate that the proposed subspace clustering algorithm performs comparably against state-of-the-art methods.

• A theoretical proof is provided to show the proposed approach can reveal the true membership of the data samples being clustered.

• Discussions from both geometric and physical perspectives on the proposed approach are made as an explanation and an algorithm analysis.

摘要

•A novel data sample representation is proposed, where a low-rank structure is propagated in the sparse representation. Based on the representation, a self-expression is constructed for subspace clustering. Experimental results on synthesis datasets and several real datasets demonstrate that the proposed subspace clustering algorithm performs comparably against state-of-the-art methods.•A theoretical proof is provided to show the proposed approach can reveal the true membership of the data samples being clustered.•Discussions from both geometric and physical perspectives on the proposed approach are made as an explanation and an algorithm analysis.

论文关键词:Clustering,Subspace segmentation,Sparse coding,Low-rank representation,Self-expression.

论文评审过程:Received 28 September 2018, Revised 31 May 2019, Accepted 24 June 2019, Available online 28 June 2019, Version of Record 3 July 2019.

论文官网地址:https://doi.org/10.1016/j.patcog.2019.06.019