Presentation 2016-06-13
Optimal parameter selection for kernel dynamic mode decomposition
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao,
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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
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
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)