| Presentation | 2021-03-03 Learning coefficients of normal mixture models in one dimension. Genki Watanabe, Ryuji Ito, Miki Aoyagi, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Hierarchical learning models are widely used for data analysis in image or speech recognition, economics and so on. However, such models are singular and cannot be analyzed using the classic theories of regular statistical models. Therefore, it is necessary to construct mathematical analysis of singular models. Recently, Watanabe developed several theorems, for example, widely applicable information criterion, widely applicable Bayesian information criterion, and cross-validation based on mathematical theorems in algebraic geometry and algebraic analysis. In this paper, we consider the generalization error of the normal models in Bayesian estimation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Resolution of singularities / learning coefficients / singular models / normal mixture models |
| Paper # | IBISML2020-48 |
| Date of Issue | 2021-02-23 (IBISML) |
| Conference Information | |
| Committee | IBISML |
|---|---|
| Conference Date | 2021/3/2(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Organized and general sessions on machine learning |
| Chair | Ichiro Takeuchi(Nagoya Inst. of Tech.) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Masashi Sugiyama(AIST) / Koji Tsuda(NTT) |
| Assistant | Atsuyoshi Nakamura(Hokkaido Univ.) / Shigeyuki Oba(Miidas) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Learning coefficients of normal mixture models in one dimension. |
| Sub Title (in English) | |
| Keyword(1) | Resolution of singularities |
| Keyword(2) | learning coefficients |
| Keyword(3) | singular models |
| Keyword(4) | normal mixture models |
| 1st Author's Name | Genki Watanabe |
| 1st Author's Affiliation | Nihon University(Nihon Univ.) |
| 2nd Author's Name | Ryuji Ito |
| 2nd Author's Affiliation | Nihon University(Nihon Univ.) |
| 3rd Author's Name | Miki Aoyagi |
| 3rd Author's Affiliation | Nihon University(Nihon Univ.) |
| Date | 2021-03-03 |
| Paper # | IBISML2020-48 |
| Volume (vol) | vol.120 |
| Number (no) | IBISML-395 |
| Page | pp.pp.40-46(IBISML), |
| #Pages | 7 |
| Date of Issue | 2021-02-23 (IBISML) |