Title
A novel dimensionality reduction technique based on kernel optimization through graph embedding.
Abstract
In this paper, we propose a new method for kernel optimization in kernel-based dimensionality reduction techniques such as kernel principal component analysis and kernel discriminant analysis. The main idea is to use the graph embedding framework for these techniques and, therefore, by formulating a new minimization problem to simultaneously optimize the kernel parameters and the projection vectors of the chosen dimensionality reduction method. Experimental results are conducted in various datasets, varying from real-world publicly available databases for classification benchmarking to facial expressions and face recognition databases. Our proposed method outperforms other competing ones in classification performance. Moreover, our method provides a systematic way to deal with kernel parameters whose calculation was treated rather superficially so far and/or experimentally, in most of the cases.
Year
DOI
Venue
2015
10.1007/s11760-015-0832-y
Signal, Image and Video Processing
Keywords
Field
DocType
Kernel optimization, Support vector machines, Kernel-based dimensionality reduction
Radial basis function kernel,Pattern recognition,Kernel embedding of distributions,Kernel Fisher discriminant analysis,Kernel principal component analysis,Tree kernel,Polynomial kernel,Artificial intelligence,String kernel,Variable kernel density estimation,Mathematics
Journal
Volume
Issue
ISSN
9
Supplement-1
1863-1711
Citations 
PageRank 
References 
2
0.42
16
Authors
3
Name
Order
Citations
PageRank
Nicholas Vretos13312.21
Anastasios Tefas22055177.05
Ioannis Pitas36478626.09