An efficient algorithm of learning the parametric map of locally linear embedding

Xu Zhang; Yushu Liu; Chunxiao Gao; Jinghao Liu

doi:10.1109/IITA.2008.331

An efficient algorithm of learning the parametric map of locally linear embedding

Xu Zhang^*, Yushu Liu, Chunxiao Gao, Jinghao Liu

^*Corresponding author for this work

School of Computer Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

A method is presented to obtain maps between the high-dimensional data and the low-dimensional space deduced by locally linear embedding (LLE). Since LLE does not provide a parametric function that build maps between the image space and the low-dimensional manifold. In this paper, multivariate linear regression is applied to deduce the maps. It can successfully project a new data point onto the embedded space. Also it can be extended to supervised LLE). The performance analysis on the obtained experimental results demonstrated that the proposed method is effective and efficient.

Original language	English
Title of host publication	Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008
Pages	52-56
Number of pages	5
DOIs	https://doi.org/10.1109/IITA.2008.331
Publication status	Published - 2008
Event	2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008 - Shanghai, China Duration: 21 Dec 2008 → 22 Dec 2008

Publication series

Name	Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008
Volume	3

Conference

Conference	2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008
Country/Territory	China
City	Shanghai
Period	21/12/08 → 22/12/08

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10.1109/IITA.2008.331

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Zhang, X., Liu, Y., Gao, C., & Liu, J. (2008). An efficient algorithm of learning the parametric map of locally linear embedding. In Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008 (pp. 52-56). Article 4739957 (Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008; Vol. 3). https://doi.org/10.1109/IITA.2008.331

@inproceedings{6631860e31964f928aa581a45451b71c,

title = "An efficient algorithm of learning the parametric map of locally linear embedding",

abstract = "A method is presented to obtain maps between the high-dimensional data and the low-dimensional space deduced by locally linear embedding (LLE). Since LLE does not provide a parametric function that build maps between the image space and the low-dimensional manifold. In this paper, multivariate linear regression is applied to deduce the maps. It can successfully project a new data point onto the embedded space. Also it can be extended to supervised LLE). The performance analysis on the obtained experimental results demonstrated that the proposed method is effective and efficient.",

author = "Xu Zhang and Yushu Liu and Chunxiao Gao and Jinghao Liu",

year = "2008",

doi = "10.1109/IITA.2008.331",

language = "English",

isbn = "9780769534978",

series = "Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008",

pages = "52--56",

booktitle = "Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008",

note = "2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008 ; Conference date: 21-12-2008 Through 22-12-2008",

}

Zhang, X, Liu, Y, Gao, C & Liu, J 2008, An efficient algorithm of learning the parametric map of locally linear embedding. in Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008., 4739957, Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008, vol. 3, pp. 52-56, 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008, Shanghai, China, 21/12/08. https://doi.org/10.1109/IITA.2008.331

An efficient algorithm of learning the parametric map of locally linear embedding. / Zhang, Xu; Liu, Yushu; Gao, Chunxiao et al.
Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008. 2008. p. 52-56 4739957 (Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Liu, Yushu

AU - Gao, Chunxiao

AU - Liu, Jinghao

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N2 - A method is presented to obtain maps between the high-dimensional data and the low-dimensional space deduced by locally linear embedding (LLE). Since LLE does not provide a parametric function that build maps between the image space and the low-dimensional manifold. In this paper, multivariate linear regression is applied to deduce the maps. It can successfully project a new data point onto the embedded space. Also it can be extended to supervised LLE). The performance analysis on the obtained experimental results demonstrated that the proposed method is effective and efficient.

AB - A method is presented to obtain maps between the high-dimensional data and the low-dimensional space deduced by locally linear embedding (LLE). Since LLE does not provide a parametric function that build maps between the image space and the low-dimensional manifold. In this paper, multivariate linear regression is applied to deduce the maps. It can successfully project a new data point onto the embedded space. Also it can be extended to supervised LLE). The performance analysis on the obtained experimental results demonstrated that the proposed method is effective and efficient.

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BT - Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008

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Y2 - 21 December 2008 through 22 December 2008

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Zhang X, Liu Y, Gao C, Liu J. An efficient algorithm of learning the parametric map of locally linear embedding. In Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008. 2008. p. 52-56. 4739957. (Proceedings - 2008 2nd International Symposium on Intelligent Information Technology Application, IITA 2008). doi: 10.1109/IITA.2008.331

An efficient algorithm of learning the parametric map of locally linear embedding

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