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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