| Presentation | 2023-03-03 The free energy of the mean field approximation in normal crossing functions Miki Aoyagi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Then main terms of the free energy in singular models are obtained by a resolution map of Kullback function's singularities. In the Bays method, mean field approximations are widely used for approximating the posterior distributions. In general, the free energies of the posterior functions and its mean field approximations are different. In this paper, we consider the mean field approximation of normal crossing functions and show that main terms corresponding to learning coefficients have the same order. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Kullback function / free energy / mean field approximation / normal crossing functions |
| Paper # | PRMU2022-127,IBISML2022-134 |
| Date of Issue | 2023-02-23 (PRMU, IBISML) |
| Conference Information | |
| Committee | PRMU / IBISML / IPSJ-CVIM |
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| Conference Date | 2023/3/2(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Future University Hakodate |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Seiichi Uchida(Kyushu Univ.) / Masashi Sugiyama(Univ. of Tokyo) |
| Vice Chair | Takuya Funatomi(NAIST) / Mitsuru Anpai(Denso IT Lab.) / Toshihiro Kamishima(AIST) / Koji Tsuda(Univ. of Tokyo) |
| Secretary | Takuya Funatomi(CyberAgent) / Mitsuru Anpai(Univ. of Tokyo) / Toshihiro Kamishima(NTT) / Koji Tsuda(Hokkaido Univ.) |
| Assistant | Nakamasa Inoue(Tokyo Inst. of Tech.) / Yasutomo Kawanishi(Riken) / Yoshinobu Kawahara(Osaka Univ.) / Taiji Suzuki(Tokyo Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Pattern Recognition and Media Understanding / Technical Committee on Information-Based Induction Sciences and Machine Learning / Special Interest Group on Computer Vision and Image Media |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The free energy of the mean field approximation in normal crossing functions |
| Sub Title (in English) | |
| Keyword(1) | Kullback function |
| Keyword(2) | free energy |
| Keyword(3) | mean field approximation |
| Keyword(4) | normal crossing functions |
| 1st Author's Name | Miki Aoyagi |
| 1st Author's Affiliation | Nihon University(Nihon Univ.) |
| Date | 2023-03-03 |
| Paper # | PRMU2022-127,IBISML2022-134 |
| Volume (vol) | vol.122 |
| Number (no) | PRMU-404,IBISML-405 |
| Page | pp.pp.378-383(PRMU), pp.378-383(IBISML), |
| #Pages | 6 |
| Date of Issue | 2023-02-23 (PRMU, IBISML) |