| Presentation | 2023-03-03 Upper bound of real log canonical threshold based on linear programming problem for the multi-indexes of a polynomial Joe Hirose, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A real log canonical threshold (RLCT) is an invariant which gives a Bayesian generalization error. While a strict value or an upper bound of RLCT has been revealed for cases when a polynomial or an analytic function is the mean error function of a specific statistical model including a three-layered neural network, a mixture model and a Vandermonde matrix type polynomial, there have been few studies about general calculation method of RLCT. This paper shows that the inverse of the optimal value of linear programming problem for the multi-indexes of a polynomial is the upper bound of RLCT. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Real Log Canonical Threshold / Bayesian Generalization Error / Multi-Indexes / Linear Programming Problem |
| Paper # | PRMU2022-125,IBISML2022-132 |
| 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) | Upper bound of real log canonical threshold based on linear programming problem for the multi-indexes of a polynomial |
| Sub Title (in English) | |
| Keyword(1) | Real Log Canonical Threshold |
| Keyword(2) | Bayesian Generalization Error |
| Keyword(3) | Multi-Indexes |
| Keyword(4) | Linear Programming Problem |
| 1st Author's Name | Joe Hirose |
| 1st Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech) |
| Date | 2023-03-03 |
| Paper # | PRMU2022-125,IBISML2022-132 |
| Volume (vol) | vol.122 |
| Number (no) | PRMU-404,IBISML-405 |
| Page | pp.pp.363-370(PRMU), pp.363-370(IBISML), |
| #Pages | 8 |
| Date of Issue | 2023-02-23 (PRMU, IBISML) |