Presentation | 2016-06-13 Optimal parameter selection for kernel dynamic mode decomposition Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao, |
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PDF Download Page | PDF download Page Link |
Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | A novel mode decomposition method based on the dynamical systems theory, called the dynamic mode decomposition (DMD), has recently attracted a lot of attention. The kernel-based nonlinear extension of the DMD (kernel DMD) will be applicable to wider class of nonlinear systems, however, there is a problem that the performance of the kernel DMD is significantly affected by parameter selection. In the present study, in order to solve this problem, we discuss this problem on the basis of a more general formulation, i.e. kernel expression of conditional probability distribution, and propose a formula for selecting optimal parameters. Furthermore, we show that our formula is also valid for the kernel DMD and facilitates precise mode extraction. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | nonlinear dynamical systems / mode decomposition / Koopman operator |
Paper # | NLP2016-21,CCS2016-4 |
Date of Issue | 2016-06-06 (NLP, CCS) |
Conference Information | |
Committee | CCS / NLP |
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Conference Date | 2016/6/13(2days) |
Place (in Japanese) | (See Japanese page) |
Place (in English) | Kikai-Shinko-Kaikan Bldg. |
Topics (in Japanese) | (See Japanese page) |
Topics (in English) | Nonlinear Science, Complexity Science, etc. |
Chair | Yasuhiro Tsubo(Ritsumeikan Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
Vice Chair | Naoki Wakamiya(Osaka Univ.) / Mikio Hasegawa(Tokyo Univ. of Science) / Masaharu Adachi(Tokyo Denki Univ.) |
Secretary | Naoki Wakamiya(Kyoto Sangyo Univ.) / Mikio Hasegawa(Osaka Univ.) / Masaharu Adachi(Konan Univ.) |
Assistant | Takayuki Kimura(Nippon Inst. of Tech.) / Song-Ju Kim(NIMS) / Ryo Takahashi(Kyoto Univ.) / Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
Paper Information | |
Registration To | Technical Committee on Complex Communication Sciences / Technical Committee on Nonlinear Problems |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Optimal parameter selection for kernel dynamic mode decomposition |
Sub Title (in English) | |
Keyword(1) | nonlinear dynamical systems |
Keyword(2) | mode decomposition |
Keyword(3) | Koopman operator |
1st Author's Name | Wataru Kurebayashi |
1st Author's Affiliation | Aomori University(Aomori Univ.) |
2nd Author's Name | Sho Shirasaka |
2nd Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech.) |
3rd Author's Name | Hiroya Nakao |
3rd Author's Affiliation | Tokyo Institute of Technology(Tokyo Tech.) |
Date | 2016-06-13 |
Paper # | NLP2016-21,CCS2016-4 |
Volume (vol) | vol.116 |
Number (no) | NLP-86,CCS-87 |
Page | pp.pp.13-14(NLP), pp.13-14(CCS), |
#Pages | 2 |
Date of Issue | 2016-06-06 (NLP, CCS) |