Title
Adaptive Locality Preserving Regression
Abstract
This paper proposes a novel discriminative regression method, called adaptive locality preserving regression (ALPR) for classification. In particular, ALPR aims to learn a more flexible and discriminative projection that not only preserves the intrinsic structure of data, but also possesses the properties of feature selection and interpretability. To this end, we introduce a target learning technique to adaptively learn a more discriminative and flexible target matrix rather than the pre-defined strict zero-one label matrix for regression. Then, a locality preserving constraint regularized by the adaptive learned weights is further introduced to guide the projection learning, which is beneficial to learn a more discriminative projection and avoid overfitting. Moreover, we replace the conventional ‘Frobenius norm’ with the special <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$l_{2,1}$ </tex-math></inline-formula> norm to constrain the projection, which enables the method to adaptively select the most important features from the original high-dimensional data for feature extraction. In this way, the negative influence of the redundant features and noises residing in the original data can be greatly eliminated. Besides, the proposed method has good interpretability for features owing to the row-sparsity property of the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$l_{2,1}$ </tex-math></inline-formula> norm. Extensive experiments conducted on the synthetic database with manifold structure and many real-world databases prove the effectiveness of the proposed method.
Year
DOI
Venue
2020
10.1109/TCSVT.2018.2889727
IEEE Transactions on Circuits and Systems for Video Technology
Keywords
DocType
Volume
Feature extraction,Manifolds,Computer science,Linear regression,Training,Sparse matrices
Journal
30
Issue
ISSN
Citations 
1
1051-8215
6
PageRank 
References 
Authors
0.45
22
6
Name
Order
Citations
PageRank
Wen Jie128423.38
Zhong Zuofeng2624.56
Zheng Zhang354940.45
Lunke Fei441930.97
Zhihui Lai5120476.03
Chen Runze692.56