Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification

doi:10.1109/TCYB.2015.2433926

	Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification
	Pang, Junbiao 1; Qin, Lei 2; Zhang, Chunjie 3; Zhang, Weigang 4; Huang, Qingming 5,6,7; Yin, Baocai 1
	2015-12-01
发表期刊	IEEE TRANSACTIONS ON CYBERNETICS
ISSN	2168-2267
卷号	45 期号:12 页码:2937-2947
摘要	Local coordinate coding (LCC) is a framework to approximate a Lipschitz smooth function by combining linear functions into a nonlinear one. For locally linear classification, LCC requires a coding scheme that heavily determines the nonlinear approximation ability, posing two main challenges: 1) the locality making faraway anchors have smaller influences on current data and 2) the flexibility balancing well between the reconstruction of current data and the locality. In this paper, we address the problem from the theoretical analysis of the simplest local coding schemes, i.e., local Gaussian coding and local student coding, and propose local Laplacian coding (LPC) to achieve the locality and the flexibility. We apply LPC into locally linear classifiers to solve diverse classification tasks. The comparable or exceeded performances of state-of-the-art methods demonstrate the effectiveness of the proposed method.
关键词	Image classification local coordinate coding (LCC) local Gaussian coding (LGC) local Laplacian coding (LPC) local student coding (LSC) locally linear classification nonlinear approximation
DOI	10.1109/TCYB.2015.2433926
收录类别	SCI
语种	英语
资助项目	National Basic Research Program of China (973 Program)[2012CB316400] ; Natural Science Foundation of China[61332016] ; Natural Science Foundation of China[61202234] ; Natural Science Foundation of China[61202322] ; Natural Science Foundation of China[61133003] ; Natural Science Foundation of China[61227004] ; Natural Science Foundation of China[61303154] ; Natural Science Foundation of China[61390510] ; Natural Science Foundation of China[61472387] ; Beijing Natural Science Foundation[4132010] ; Beijing Natural Science Foundation[KZ201310005006] ; Beijing Post-Doctoral Research Foundation ; Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号	WOS:000365320300026
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/9119
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Pang, Junbiao
作者单位	1.Beijing Univ Technol, Coll Metropolitan Transportat, Beijing Key Lab Multimedia & Intelligent Software, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Comp & Control Engn, Beijing 100049, Peoples R China 4.Harbin Inst Technol Weihai, Sch Comp Sci & Technol, Weihai 264209, Peoples R China 5.Beijing Univ Technol, Coll Metropolitan Transportat, Beijing 100124, Peoples R China 6.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 7.Chinese Acad Sci, Inst Comp Technol, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Pang, Junbiao,Qin, Lei,Zhang, Chunjie,et al. Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification[J]. IEEE TRANSACTIONS ON CYBERNETICS,2015,45(12):2937-2947.
APA	Pang, Junbiao,Qin, Lei,Zhang, Chunjie,Zhang, Weigang,Huang, Qingming,&Yin, Baocai.(2015).Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification.IEEE TRANSACTIONS ON CYBERNETICS,45(12),2937-2947.
MLA	Pang, Junbiao,et al."Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification".IEEE TRANSACTIONS ON CYBERNETICS 45.12(2015):2937-2947.