Title
Sparse and low-redundant subspace learning-based dual-graph regularized robust feature selection.
Abstract
Feature selection can reduce the dimension of data and select the representative features. The available researches have shown that the underlying geometric structures of both the data and the feature manifolds are important for feature selection. However, few feature selection methods utilize the two geometric structures simultaneously in subspace learning. To solve this issue, this paper proposes a novel algorithm, called sparse and low-redundant subspace learning-based dual-graph regularized robust feature selection (SLSDR). Based on the framework of subspace learning-based graph regularized feature selection, SLSDR extends it by introducing the data graph. Specifically, both data graph and feature graph are introduced into subspace learning, so SLSDR preserves the geometric structures of the data and feature manifolds, simultaneously. Consequently, the features which best preserve the manifold structures are selected. Additionally, the inner product regularization term, which guarantees the sparsity of rows and considers the correlations between features, is imposed on the feature selection matrix to select the representative and low-redundant features. Meanwhile, the l2,1-norm is imposed on the residual matrix of subspace learning to ensure the robustness to outlier samples. Experimental results on twelve benchmark datasets show that the proposed SLSDR is superior to the six state-of-the-art algorithms from the literature.
Year
DOI
Venue
2020
10.1016/j.knosys.2019.07.001
Knowledge-Based Systems
Keywords
Field
DocType
Subspace learning,Data manifold,Feature manifold,Inner product regularization term,Feature selection
Data mining,Feature selection,Subspace topology,Pattern recognition,Computer science,Matrix (mathematics),Outlier,Robustness (computer science),Regularization (mathematics),Dual graph,Artificial intelligence,Manifold
Journal
Volume
ISSN
Citations 
187
0950-7051
5
PageRank 
References 
Authors
0.38
0
4
Name
Order
Citations
PageRank
Ronghua Shang1188.68
Kaiming Xu250.38
Fanhua Shang346833.69
Licheng Jiao45698475.84