A Gaussian-based rank approximation for subspace clustering

Fei Xu; Chong Peng; Yunhong Hu; Guoping He

doi:10.1117/12.2302503

10 April 2018 A Gaussian-based rank approximation for subspace clustering

Fei Xu, Chong Peng, Yunhong Hu, Guoping He

Proceedings Volume 10615, Ninth International Conference on Graphic and Image Processing (ICGIP 2017); 106152B (2018) https://doi.org/10.1117/12.2302503
Event: Ninth International Conference on Graphic and Image Processing, 2017, Qingdao, China

Abstract

Low-rank representation (LRR) has been shown successful in seeking low-rank structures of data relationships in a union of subspaces. Generally, LRR and LRR-based variants need to solve the nuclear norm-based minimization problems. Beyond the success of such methods, it has been widely noted that the nuclear norm may not be a good rank approximation because it simply adds all singular values of a matrix together and thus large singular values may dominant the weight. This results in far from satisfactory rank approximation and may degrade the performance of lowrank models based on the nuclear norm. In this paper, we propose a novel nonconvex rank approximation based on the Gaussian distribution function, which has demanding properties to be a better rank approximation than the nuclear norm. Then a low-rank model is proposed based on the new rank approximation with application to motion segmentation. Experimental results have shown significant improvements and verified the effectiveness of our method.

Citation Download Citation

Fei Xu, Chong Peng, Yunhong Hu, and Guoping He "A Gaussian-based rank approximation for subspace clustering", Proc. SPIE 10615, Ninth International Conference on Graphic and Image Processing (ICGIP 2017), 106152B (10 April 2018); https://doi.org/10.1117/12.2302503

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KEYWORDS

Data modeling

Motion models

Image segmentation

Computer science

Control systems

Machine vision

Video

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