| Presentation | 2018-11-05 [Poster Presentation] Variational Approximation Accuracy in Non-negative Matrix Factorization Naoki Hayashi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The asymptotic behavior of the variational free energy of the non-negative matrix factorization (NMF) has been elucidated, however, it has not been clarified how well the variational approximation accuracy is with respect to the Bayesian inference. In this study, we resolve the behavior of free energy of Bayesian NMF assuming the same likelihood model and prior distribution as variational Bayesian NMF by using algebraic geometrical method, and their behaviors are theoretically compared. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | non-negative matrix factorization (NMF) / singular model / learning coefficient / real log canonical threshold / variational free energy / free energy / variational Bayesian method / Bayesian inference |
| Paper # | IBISML2018-51 |
| Date of Issue | 2018-10-29 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2018/11/5(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hokkaido Citizens Activites Center (Kaderu 2.7) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information-Based Induction Science Workshop (IBIS2018) |
| Chair | Hisashi Kashima(Kyoto Univ.) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Masashi Sugiyama(Nagoya Inst. of Tech.) / Koji Tsuda(AIST) |
| Assistant | Tomoharu Iwata(NTT) / Shigeyuki Oba(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | [Poster Presentation] Variational Approximation Accuracy in Non-negative Matrix Factorization |
| Sub Title (in English) | |
| Keyword(1) | non-negative matrix factorization (NMF) |
| Keyword(2) | singular model |
| Keyword(3) | learning coefficient |
| Keyword(4) | real log canonical threshold |
| Keyword(5) | variational free energy |
| Keyword(6) | free energy |
| Keyword(7) | variational Bayesian method |
| Keyword(8) | Bayesian inference |
| 1st Author's Name | Naoki Hayashi |
| 1st Author's Affiliation | NTTDATA Mathematical Systems Inc.(MSI) |
| Date | 2018-11-05 |
| Paper # | IBISML2018-51 |
| Volume (vol) | vol.118 |
| Number (no) | IBISML-284 |
| Page | pp.pp.53-60(IBISML), |
| #Pages | 8 |
| Date of Issue | 2018-10-29 (IBISML) |