| Presentation | 2005/3/21 A variational Bayes inference for a mixture of von Mises-Fisher distribution Akihiro TANABE, Kenji FUKUMIZU, Shigeyuki OBA, Shin ISHII, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | To deal with high dimensional directional data is getting important in various applications like analyses of text and gene expression data. In this report, we propose variational Bayes (VB) algorithm for mixture of von Mises-Fisher distributions, which is a probability density function defined on a unit hypersphere. We compare the predictive distribution obtainded by the VB algorithm with that by the maximum likelihood estimation, in order to check the effectiveness of this algorithm. Besides, we introduce an approximation method of the logarithm of the first kind modified Bessel function. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | von Mises-Fisher distribution / variational Bayes / free energy / predictive distribution / first kind modified Bessel function |
| Paper # | NC2004-159 |
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| Committee | NC |
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| Conference Date | 2005/3/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A variational Bayes inference for a mixture of von Mises-Fisher distribution |
| Sub Title (in English) | |
| Keyword(1) | von Mises-Fisher distribution |
| Keyword(2) | variational Bayes |
| Keyword(3) | free energy |
| Keyword(4) | predictive distribution |
| Keyword(5) | first kind modified Bessel function |
| 1st Author's Name | Akihiro TANABE |
| 1st Author's Affiliation | Nara Institute of Science and technology() |
| 2nd Author's Name | Kenji FUKUMIZU |
| 2nd Author's Affiliation | The Institute of Statistical Mathematics |
| 3rd Author's Name | Shigeyuki OBA |
| 3rd Author's Affiliation | Nara Institute of Science and technology |
| 4th Author's Name | Shin ISHII |
| 4th Author's Affiliation | Nara Institute of Science and technology |
| Date | 2005/3/21 |
| Paper # | NC2004-159 |
| Volume (vol) | vol.104 |
| Number (no) | 758 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |