Presentation 2006-01-24
Embedding of Labeled Multimodal Data
Yuki SHINADA, Masashi SUGIYAMA,
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Abstract(in English) In order to improve the recognition accuracy of high dimensional patterns, it is important to appropriately reduce the number of dimensions of the data. We discuss the linear dimensionality reduction problem in supervised learning. The Fisher Criterion is a standard criterion for linear dimensionality reduction. It reduces dimensionality while keeping the mean distance between classes large and the variance within the class small. However, when the data of each class is multimodal, the Fisher Criterion is not able to reduce dimensionality appropriately since the mean distance between classes and the within-class variance are not well evaluated. Recently, Locality Preserving Projection (LPP) has been proposed, which reduces dimensionality while preserving local structure of the data. LPP is able to perform dimensionality reduction with the multimodality of the data preserved. However, since LPP is an unsupervised method, it is not necessarily effective for pattern classification. In this paper, we therefore propose a new supervised linear dimensionality reduction method which preserves local structure and takes the class information into account.
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Keyword(in English) dimensionality reduction / feature extraction / labeled multimodal data / Fisher Criterion / Locality Preserving Criterion / Locality and Separability Preserving Criterion
Paper # NC2005-102
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Conference Information
Committee NC
Conference Date 2006/1/17(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Embedding of Labeled Multimodal Data
Sub Title (in English)
Keyword(1) dimensionality reduction
Keyword(2) feature extraction
Keyword(3) labeled multimodal data
Keyword(4) Fisher Criterion
Keyword(5) Locality Preserving Criterion
Keyword(6) Locality and Separability Preserving Criterion
1st Author's Name Yuki SHINADA
1st Author's Affiliation Department of Computer Science, Tokyo Institute of Technology()
2nd Author's Name Masashi SUGIYAMA
2nd Author's Affiliation Department of Computer Science, Tokyo Institute of Technology
Date 2006-01-24
Paper # NC2005-102
Volume (vol) vol.105
Number (no) 544
Page pp.pp.-
#Pages 6
Date of Issue