On connections between Renyi entropy Principal Component Analysis, kernel learning and graph embedding

doi:10.1016/j.patrec.2018.06.011

	On connections between Renyi entropy Principal Component Analysis, kernel learning and graph embedding
	Ran, Zhi-Yong 2; Wang, Wei 3; Hu, Bao-Gang1
刊名	PATTERN RECOGNITION LETTERS
	2018-09-01
卷号	112 页码:125-130
关键词	Renyi Entropy Pca Kernel Learning Graph Embedding
ISSN号	0167-8655
DOI	10.1016/j.patrec.2018.06.011
文献子类	Article
英文摘要	In this paper, we study the connections between Renyi entropy PCA, kernel learning and graph embedding. A natural complementary formulation of maximum entropy PCA, namely minimum error entropy PCA, is presented. These two formulations can be combined together to give a two-fold understanding of Renyi entropy PCA. Further, we establish connections between Renyi entropy PCA, kernel learning and graph embedding, and propose a generalized graph embedding framework that unifies a variety of existing algorithms. This proposed framework essentially covers previous graph embedding framework, and partially answers the problem of how to make use of high order statistics of data in dimensionality reduction. The theoretic development enables a close relationship between information theoretic learning, kernel learning and graph embedding. (c) 2018 Elsevier B.V. All rights reserved.
WOS关键词	NONLINEAR DIMENSIONALITY REDUCTION ; FRAMEWORK
WOS研究方向	Computer Science
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000443950800018
资助机构	National Natural Science Foundation of China(61502466 ; 61503365)
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/27916]
专题	中国科学院自动化研究所
通讯作者	Wang, Wei
作者单位	1.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China 2.Chongqing Univ Posts & Telecommun, Chongqing 400065, Peoples R China 3.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ran, Zhi-Yong,Wang, Wei,Hu, Bao-Gang. On connections between Renyi entropy Principal Component Analysis, kernel learning and graph embedding[J]. PATTERN RECOGNITION LETTERS,2018,112:125-130.
APA	Ran, Zhi-Yong,Wang, Wei,&Hu, Bao-Gang.(2018).On connections between Renyi entropy Principal Component Analysis, kernel learning and graph embedding.PATTERN RECOGNITION LETTERS,112,125-130.
MLA	Ran, Zhi-Yong,et al."On connections between Renyi entropy Principal Component Analysis, kernel learning and graph embedding".PATTERN RECOGNITION LETTERS 112(2018):125-130.