Title
Robust Flexible Preserving Embedding
Abstract
Neighborhood preserving embedding (NPE) has been proposed to encode overall geometry manifold embedding information. However, the class-special structure of the data is destroyed by noise or outliers existing in the data. To address this problem, in this article, we propose a novel embedding approach called robust flexible preserving embedding (RFPE). First, RFPE recovers the noisy data by low-rank learning and obtains clean data. Then, the clean data are used to learn the projection matrix. In this way, the projective learning is totally unaffected by noise or outliers. By encoding a flexible regularization term, RFPE can keep the property of the data points with a nonlinear manifold and be more flexible. RFPE searches the optimal projective subspace for feature extraction. In addition, we also extend the proposed RFPE to a kernel case and propose kernel RFPE (KRFPE). Extensive experiments on six public image databases show the superiority of the proposed methods over other state-of-the-art methods.
Year
DOI
Venue
2020
10.1109/TCYB.2019.2953922
IEEE Transactions on Cybernetics
Keywords
DocType
Volume
Manifolds,Principal component analysis,Feature extraction,Robustness,Optimization,Noise measurement,Sparse matrices
Journal
50
Issue
ISSN
Citations 
10
2168-2267
3
PageRank 
References 
Authors
0.37
24
4
Name
Order
Citations
PageRank
Yuwu Lu119612.50
W K Wong215116.60
Zhihui Lai3120476.03
Xuelong Li415049617.31