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Semantic and neighborhood preserving dictionary learning for symmetric positive-definite matrices

  • Xi'an Jiaotong University
  • China Aerospace Science and Technology Corporation

科研成果: 书/报告/会议事项章节会议稿件同行评审

3 引用 (Scopus)

摘要

The symmetric positive-definite (SPD) matrices form a Riemannian manifold, and sparse representation on the SPD matrix manifold has received increasingly attentions recently. In this paper, we propose a semantic and neighborhood preserving dictionary learning method for the sparse representation on the SPD matrix manifold. The semantic preserving ensures that the semantic similarity information can be kept while sparse representation, and the neighborhood preserving is introduced to better reflect the geometrical structure of the manifold. To effectively model the semantic similarity of the SPD matrices and the geometrical structure, a Laplacian smooth operator is incorporated into the objective function of dictionary learning. With the learned dictionary, the obtained sparse representations of SPD matrices are more discriminative. Experimental results on publicly available datasets demonstrate the effectiveness of the proposed method.

源语言英语
主期刊名ICSP 2016 - 2016 IEEE 13th International Conference on Signal Processing, Proceedings
编辑Yuan Baozong, Ruan Qiuqi, Zhao Yao, An Gaoyun
出版商Institute of Electrical and Electronics Engineers Inc.
654-658
页数5
ISBN(电子版)9781509013449
DOI
出版状态已出版 - 2 7月 2016
活动13th IEEE International Conference on Signal Processing, ICSP 2016 - Chengdu, 中国
期限: 6 11月 201610 11月 2016

出版系列

姓名International Conference on Signal Processing Proceedings, ICSP
0

会议

会议13th IEEE International Conference on Signal Processing, ICSP 2016
国家/地区中国
Chengdu
时期6/11/1610/11/16

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