Simulation Study of Physical Reservoir Computing by Nonlinear Deterministic Time Series Analysis

被引:3
作者
Yamane, Toshiyuki [1 ]
Takeda, Seiji [1 ]
Nakano, Daiju [1 ]
Tanaka, Gouhei [2 ]
Nakane, Ryosho [2 ]
Hirose, Akira [2 ]
Nakagawa, Shigeru [1 ]
机构
[1] IBM Res Tokyo, Kawasaki, Kanagawa 2120032, Japan
[2] Univ Tokyo, Grad Sch Engn, Tokyo 1138656, Japan
来源
NEURAL INFORMATION PROCESSING, ICONIP 2017, PT I | 2017年 / 10634卷
关键词
Reservoir computing; Physical reservoir; Bifurcation phenomena; Takens' theorem; False nearest neighbours; Lang-Kobayashi equation;
D O I
10.1007/978-3-319-70087-8_66
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We investigate dynamics of physical reservoir computing by numerical simulations. Our approach is based on nonlinear deterministic time series analysis such as Takens' theorem and false nearest neighbor methods. We show that this approach is useful for efficient design and implementation of physical reservoir computing systems where only partial information of the reservoir state is accessible. We take nonlinear laser dynamics subject to time delay as physical reservoir and show that the size of physical reservoir can be estimated by these method.
引用
收藏
页码:639 / 647
页数:9
相关论文
共 10 条
  • [1] Information processing using a single dynamical node as complex system
    Appeltant, L.
    Soriano, M. C.
    Van der Sande, G.
    Danckaert, J.
    Massar, S.
    Dambre, J.
    Schrauwen, B.
    Mirasso, C. R.
    Fischer, I.
    [J]. NATURE COMMUNICATIONS, 2011, 2
  • [2] DETERMINING EMBEDDING DIMENSION FOR PHASE-SPACE RECONSTRUCTION USING A GEOMETRICAL CONSTRUCTION
    KENNEL, MB
    BROWN, R
    ABARBANEL, HDI
    [J]. PHYSICAL REVIEW A, 1992, 45 (06): : 3403 - 3411
  • [3] EXTERNAL OPTICAL FEEDBACK EFFECTS ON SEMICONDUCTOR INJECTION-LASER PROPERTIES
    LANG, R
    KOBAYASHI, K
    [J]. IEEE JOURNAL OF QUANTUM ELECTRONICS, 1980, 16 (03) : 347 - 355
  • [4] Reservoir computing approaches to recurrent neural network training
    Lukosevicius, Mantas
    Jaeger, Herbert
    [J]. COMPUTER SCIENCE REVIEW, 2009, 3 (03) : 127 - 149
  • [5] Delay embeddings for forced systems. I. Deterministic forcing
    Stark, J
    [J]. JOURNAL OF NONLINEAR SCIENCE, 1999, 9 (03) : 255 - 332
  • [6] Photonic Reservoir Computing Based on Laser Dynamics with External Feedback
    Takeda, Seiji
    Nakano, Daiju
    Yamane, Toshiyuki
    Tanaka, Gouhei
    Nakane, Ryosho
    Hirose, Akira
    Nakagawa, Shigeru
    [J]. NEURAL INFORMATION PROCESSING, ICONIP 2016, PT I, 2016, 9947 : 222 - 230
  • [7] Takens F., 2006, Lecture Notes in Mathematics, P366, DOI 10.1007/BFb0091924
  • [8] Uchida A., 2012, Optical Communication with Chaotic Lasers: Applications of Nonlinear Dynamics and Synchronization
  • [9] Toward optical signal processing using Photonic Reservoir Computing
    Vandoorne, Kristof
    Dierckx, Wouter
    Schrauwen, Benjamin
    Verstraeten, David
    Baets, Roel
    Bienstman, Peter
    Van Campenhout, Jan
    [J]. OPTICS EXPRESS, 2008, 16 (15) : 11182 - 11192
  • [10] Dynamics of Reservoir Computing at the Edge of Stability
    Yamane, Toshiyuki
    Takeda, Seiji
    Nakano, Daiju
    Tanaka, Gouhei
    Nakane, Ryosho
    Nakagawa, Shigeru
    Hirose, Akira
    [J]. NEURAL INFORMATION PROCESSING, ICONIP 2016, PT I, 2016, 9947 : 205 - 212