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The LLE and a linear mapping
Wu, F. C.; Hu, Z. Y.
2006-09-01
发表期刊PATTERN RECOGNITION
卷号39期号:9页码:1799-1804
文章类型Article
摘要The locally linear embedding (LLE) is considered an effective algorithm for dimensionality reduction. In this short note, some of its key properties are studied. In particular, we show that: (1) there always exists a linear mapping from the high-dimensional space to the low-dimensional space such that all the constraint conditions in the LLE can be satisfied. The implication of the existence of such a linear mapping is that the LLE cannot guarantee a one-to-one mapping from the high-dimensional space to the low-dimensional space for a given data set: (2) if the LLE is required to globally preserve distance, it must be a PCA mapping; (3) for a given high-dimensional data set, there always exists a local distance-preserving LLE. The above results can bring some new insights into a better understanding of the LLE. (c) 2006 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
关键词Locally Linear Embedding (Lle) Linear Mapping Principal Component Analysis (Pca)
WOS标题词Science & Technology ; Technology
关键词[WOS]NONLINEAR DIMENSIONALITY REDUCTION
收录类别SCI
语种英语
WOS研究方向Computer Science ; Engineering
WOS类目Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS记录号WOS:000239050200020
引用统计
被引频次:8[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9201
专题09年以前成果
作者单位Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
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Wu, F. C.,Hu, Z. Y.. The LLE and a linear mapping[J]. PATTERN RECOGNITION,2006,39(9):1799-1804.
APA Wu, F. C.,&Hu, Z. Y..(2006).The LLE and a linear mapping.PATTERN RECOGNITION,39(9),1799-1804.
MLA Wu, F. C.,et al."The LLE and a linear mapping".PATTERN RECOGNITION 39.9(2006):1799-1804.
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