Presentation 2003/2/14
An Initialization Method for Non-negative Matrix Factorization and Its Applications
Seiji HOTTA, Sueharu MIYAHARA,
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Abstract(in English) This paper presents an initialization ethod for Non-negative Matrix Factorization (NMF) and its applications. First, we propose an initialization method that sets the absolute value of elements of the orthonormal matrices obtained by Singular Value Decomposition (SVD) to the initial values of matrices in NMF. It is verified by an experiment that the desirable matrices for NMF are obtained by using our initialization method instead of a random initialization. Second, we propose the applications of NMF using our initialization method such as training data compression and similarity search based on vector space model. With our training data compression method, we can obtain a high-quality compressed training data by utilizing the property of noise reduction in NMF. In similarity search based on NMF, the retrieval accuracy depends on the initial values of matrices, the matrix rank and the number of iterations, so we show how to determine these parameters to improve the retrieval accuracy. It is verified by experiments that our initialization method is effective in these applications.
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Keyword(in English) non-negative matrix factorization / initialization method / singular value decomposition / training data compression / similarity search
Paper # PRMU2002-214
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Conference Information
Committee PRMU
Conference Date 2003/2/14(1days)
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Registration To Pattern Recognition and Media Understanding (PRMU)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Initialization Method for Non-negative Matrix Factorization and Its Applications
Sub Title (in English)
Keyword(1) non-negative matrix factorization
Keyword(2) initialization method
Keyword(3) singular value decomposition
Keyword(4) training data compression
Keyword(5) similarity search
1st Author's Name Seiji HOTTA
1st Author's Affiliation Department of Computer and Information Sciences, Nagasaki University()
2nd Author's Name Sueharu MIYAHARA
2nd Author's Affiliation Department of Computer and Information Sciences, Nagasaki University
Date 2003/2/14
Paper # PRMU2002-214
Volume (vol) vol.102
Number (no) 652
Page pp.pp.-
#Pages 6
Date of Issue