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Sensors 2017, 17(7), 1633; doi:10.3390/s17071633

Non-Convex Sparse and Low-Rank Based Robust Subspace Segmentation for Data Mining

1
School of Information Science & Technology, Donghua University, Shanghai 200051, China
2
Department of Electronic Engineering, City University of Hong Kong, Kowloon 999077, Hong Kong, China
3
School of Mathematics and Computer Science, Northeastern State University, Tahlequah, OK 74464, USA
*
Author to whom correspondence should be addressed.
Received: 16 June 2017 / Revised: 8 July 2017 / Accepted: 10 July 2017 / Published: 15 July 2017
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Abstract

Parsimony, including sparsity and low-rank, has shown great importance for data mining in social networks, particularly in tasks such as segmentation and recognition. Traditionally, such modeling approaches rely on an iterative algorithm that minimizes an objective function with convex l1-norm or nuclear norm constraints. However, the obtained results by convex optimization are usually suboptimal to solutions of original sparse or low-rank problems. In this paper, a novel robust subspace segmentation algorithm has been proposed by integrating lp-norm and Schatten p-norm constraints. Our so-obtained affinity graph can better capture local geometrical structure and the global information of the data. As a consequence, our algorithm is more generative, discriminative and robust. An efficient linearized alternating direction method is derived to realize our model. Extensive segmentation experiments are conducted on public datasets. The proposed algorithm is revealed to be more effective and robust compared to five existing algorithms. View Full-Text
Keywords: subspace segmentation; low-rank representation; non-convex; LADMAP subspace segmentation; low-rank representation; non-convex; LADMAP
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Cheng, W.; Zhao, M.; Xiong, N.; Chui, K.T. Non-Convex Sparse and Low-Rank Based Robust Subspace Segmentation for Data Mining. Sensors 2017, 17, 1633.

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