Title
An adaptive neural networks formulation for the two-dimensional principal component analysis
Abstract
This study, for the first time, developed an adaptive neural networks (NNs) formulation for the two-dimensional principal component analysis (2DPCA), whose space complexity is far lower than that of its statistical version. Unlike the NNs formulation of principal component analysis (PCA, i.e., 1DPCA), the solution with lower iteration in nature aims to directly deal with original image matrices. We also put forward the consistence in the conceptions of `eigenfaces' or `eigengaits' in both 1DPCA and 2DPCA neural networks. To evaluate the performance of the proposed NN, the experiments were carried out on AR face database and on 64 × 64 pixels gait energy images on CASIA(B) gait database. The less reconstruction error was exploited using the proposed NN in the condition of a large sample set compared to adaptive estimation of learning algorithms for NNs of PCA. On the contrary, if the sample set was small, the proposed NN could achieve a higher residue error than PCA NNs. The amount of calculation for the proposed NN here could be smaller than that for the PCA NNs on the feature extraction of the same image matrix, which represented an efficient solution to the problem of training images directly. On face and gait recognition tasks, a simple nearest neighbor classifier test indicated a particular benefit of the neural network developed here which serves as an efficient alternative to conventional PCA NNs.
Year
DOI
Venue
2016
10.1007/s00521-015-1922-z
Neural Computing and Applications
Keywords
Field
DocType
Two-dimensional principal component analysis (2DPCA), Neural network (NN), Neural networks formulation, Eigenface, Eigengait
Eigenface,Pattern recognition,Computer science,Matrix (mathematics),Reconstruction error,Feature extraction,Pixel,Artificial intelligence,Artificial neural network,Machine learning,Principal component analysis,Nearest neighbor classifier
Journal
Volume
Issue
ISSN
27
5
1433-3058
Citations 
PageRank 
References 
4
0.42
32
Authors
4
Name
Order
Citations
PageRank
Xianye Ben113110.56
Weixiao Meng243054.79
Kejun Wang325220.72
Rui Yan4885.22