| Presentation | 2022-03-09 Learning coefficients of deep linear neural networks Ryuji Ito, Miki Aoyagi, Seikai Ashizawa, Yuki Tsukamoto, Daisuke Kaji, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, the learning theory has been analyzed based on resolution of learning machine singularities in algebraic geometry. In particular, the asymptotic form of the Bayesian generalization error, the average stochastic complexity (the free energy) and so on have been obtained using these method. In this paper, we clarify the learning coefficients ofdeep linear neural networks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | resolution of singularities / learning coefficients / singular models / linear neural networks |
| Paper # | IBISML2021-45 |
| Date of Issue | 2022-03-01 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2022/3/8(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Machine Learning, etc. |
| Chair | Ichiro Takeuchi(Nagoya Inst. of Tech.) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) |
| Secretary | Masashi Sugiyama(Univ. of Tokyo) |
| Assistant | Tomoharu Iwata(NTT) / Atsuyoshi Nakamura(Hokkaido 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) | Learning coefficients of deep linear neural networks |
| Sub Title (in English) | |
| Keyword(1) | resolution of singularities |
| Keyword(2) | learning coefficients |
| Keyword(3) | singular models |
| Keyword(4) | linear neural networks |
| 1st Author's Name | Ryuji Ito |
| 1st Author's Affiliation | Nihon University(Nihon Univ.) |
| 2nd Author's Name | Miki Aoyagi |
| 2nd Author's Affiliation | Nihon University(Nihon Univ.) |
| 3rd Author's Name | Seikai Ashizawa |
| 3rd Author's Affiliation | Nihon University(Nihon Univ.) |
| 4th Author's Name | Yuki Tsukamoto |
| 4th Author's Affiliation | Nihon University(Nihon Univ.) |
| 5th Author's Name | Daisuke Kaji |
| 5th Author's Affiliation | Denso Corporation(Denso) |
| Date | 2022-03-09 |
| Paper # | IBISML2021-45 |
| Volume (vol) | vol.121 |
| Number (no) | IBISML-419 |
| Page | pp.pp.46-52(IBISML), |
| #Pages | 7 |
| Date of Issue | 2022-03-01 (IBISML) |