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保邻域结构的拉普拉斯特征映射延拓

王伟文 方环 张传林

计算机工程与应用2017,Vol.53Issue(8):61-67,7.
计算机工程与应用2017,Vol.53Issue(8):61-67,7.DOI:10.3778/j.issn.1002-8331.1510-0153

保邻域结构的拉普拉斯特征映射延拓

Out-of-sample extension of Laplacian Eigenmaps preserving local structure

王伟文 1方环 1张传林1

作者信息

  • 1. 暨南大学 信息科学技术学院,广州 510632
  • 折叠

摘要

Abstract

To solve out-of-sample problem of Laplacian Eigenmaps, a method preserving local structure is proposed which is based on the assumption that there is a linear relationship between the new sample and its neighbors. Then sparse-coding is used to obtain the linear reconstruction coefficients between the new sample and its neighbors. Finally, the low-dimensional representation of the new sample is computed through the linear relationship. The classification of the low-dimensional representation is made by 1-NN classifier. Compared with sparse-coding reconstruction method based on global relationship, the method based on local information achieves higher accuracy using less time showing its superiority. Furthermore, the proposed method can be easily extended to the out-of-sample problem of other non-linear dimensionality reduction methods.

关键词

新增样本点延拓/稀疏编码/局部结构

Key words

out-of-sample extension/sparse-coding/local structure

分类

信息技术与安全科学

引用本文复制引用

王伟文,方环,张传林..保邻域结构的拉普拉斯特征映射延拓[J].计算机工程与应用,2017,53(8):61-67,7.

基金项目

国家自然科学基金(No.61070165) (No.61070165)

广东省教育部产学研结合项目(No.2011B090400458). (No.2011B090400458)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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