Analysis of Reservoir Computing Focusing on the Spectrum of Bistable Delayed Dynamical Systems

  • Kinoshita Ikuhide
    Graduate School of Engineering, The University of Tokyo
  • Akao Akihiko
    Graduate School of Engineering, The University of Tokyo
  • Shirasaka Sho
    Research Center for Advanced Science and Technology, The University of Tokyo
  • Kotani Kiyoshi
    Graduate School of Engineering, The University of Tokyo Research Center for Advanced Science and Technology, The University of Tokyo JST, PRESTO
  • Jimbo Yasuhiko
    Graduate School of Engineering, The University of Tokyo

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  • 双安定な時間遅れ力学系のスペクトルに着目したReservoir Computingの解析
  • ソウアンテイ ナ ジカン オクレ リキガクケイ ノ スペクトル ニ チャクモク シタ Reservoir Computing ノ カイセキ

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Abstract

<p>Reservoir Computing (RC) is a machine-learning paradigm that is capable to process empirical time-series data. This paradigm is based on a neural network with a fixed hidden layer having a high-dimensional state space, called a reservoir. Reservoirs including time-delays are considered to be good candidates for practical applications because they make hardware realization of the high-dimensional reservoirs simple. Performance of the well-trained RCs depends both on dynamical properties of attractors of the reservoirs and tasks they solve. Therefore, in the conventional monostable RCs, there arise task-wise optimization problems of the reservoirs, which have been solved based on trial and error approaches. In this study, we analyzed the relationship between the dynamical properties of the time-delay reservoir and the performance in terms of the spectra of the delayed dynamical systems, which might facilitate the development of the unified systematic optimization techniques for the time-delay reservoirs. In addition, we propose a novel RC framework that performs well on distinct tasks without the task-wise optimization using bistable reservoir dynamics which can reduce complicated hardware management of the reservoirs.</p>

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