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

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	Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification
	Junbiao Pang; Lei Qin; Chunjie Zhang; Weigang Zhang; Qingming Huang; Baocai Yin
发表期刊	IEEE TRANSACTIONS ON CYBERNETICS
	2015
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 Local Gaussian Coding Local Laplacian Coding Local Student Coding Locally Linear Classification Nonlinear Approximation
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/15389
专题	类脑智能研究中心
推荐引用方式 GB/T 7714	Junbiao Pang,Lei Qin,Chunjie Zhang,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	Junbiao Pang,Lei Qin,Chunjie Zhang,Weigang Zhang,Qingming Huang,&Baocai Yin.(2015).Local Laplacian Coding From Theoretical Analysis of Local Coding Schemes for Locally Linear Classification.IEEE TRANSACTIONS ON CYBERNETICS,45(12),2937-2947.
MLA	Junbiao Pang,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.

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