| Presentation | 2020-10-21 ［招待講演］非線形ダイナミクスの作用素論的データ解析とその応用 Yoshinobu Kawahara, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Analysis and prediction of dynamic processes using data are fundamental in a variety of scientific and industrial fields, and have been discussed actively also in machine learning. Recently, operator-theoretic analysis of nonlinear dynamical systems, in particular analysis with Koopman operator, has attracted much attention due to the generality, the connection to physical concepts, and advances of estimation methods such as dynamic mode decomposition (DMD). In this talk, I first overview the basics of this research topics, focusing on spectral analysis of dynamical systems with Koopman operator. Then, I describe several recently-proposed related algorithms based on machine learning. In the talk, I occasionally show several applications of these method to several real-world data, with a focus on the ones we have worked on. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Koopman operator / dynamic mode decomposition / nonlinear dynamical system |
| Paper # | IBISML2020-25 |
| Date of Issue | 2020-10-13 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2020/10/20(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Organized Sessions on Frontiers of Machine Learning and General Sessions |
| 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(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
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| Language | JPN-ONLY |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | |
| Sub Title (in English) | |
| Keyword(1) | Koopman operator |
| Keyword(2) | dynamic mode decomposition |
| Keyword(3) | nonlinear dynamical system |
| 1st Author's Name | Yoshinobu Kawahara |
| 1st Author's Affiliation | Kyushu University/RIKEN(Kyushu Univ./RIKEN) |
| Date | 2020-10-21 |
| Paper # | IBISML2020-25 |
| Volume (vol) | vol.120 |
| Number (no) | IBISML-195 |
| Page | pp.pp.43-44(IBISML), |
| #Pages | 2 |
| Date of Issue | 2020-10-13 (IBISML) |