Convolutional-sparse-coded Dynamic Mode Decomposition and Its Application to River State Estimation

Y. Kaneko, S. Muramatsu, H. Yasuda, K. Hayasaka, Y. Otake, S. Ono, M. Yukawa

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    This work proposes convolutional-sparse-coded dynamic mode decomposition (CSC-DMD) by unifying extended dynamic mode decomposition (EDMD) and convolutional sparse coding. EDMD is a data-driven method of analysis used to describe a nonlinear dynamical system with a linear time-evolution equation. Compared with existing EDMD methods, CSC-DMD has the advantage of reflecting the spatial structure of a target. As an example, the proposed method is applied to river bed shape estimation from the water surface observation. This estimation problem is reduced to sparsityaware signal restoration with a hard constraint given by the CSC-DMD prediction, where the algorithm is derived by the primal-dual splitting method. A time series set of water surface and bed shape measured through an experimental river setup is used to train and test the system. From the result, the efficacy of the proposed method is verified.

    Original languageEnglish
    Title of host publication2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1872-1876
    Number of pages5
    ISBN (Electronic)9781479981311
    DOIs
    Publication statusPublished - 2019 May
    Event44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Brighton, United Kingdom
    Duration: 2019 May 122019 May 17

    Publication series

    NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
    Volume2019-May
    ISSN (Print)1520-6149

    Conference

    Conference44th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
    CountryUnited Kingdom
    CityBrighton
    Period19/5/1219/5/17

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    Keywords

    • Convolutional sparse coding
    • Extended dynamic mode decomposition
    • NSOLT
    • Primal-dual splitting

    ASJC Scopus subject areas

    • Software
    • Signal Processing
    • Electrical and Electronic Engineering

    Cite this

    Kaneko, Y., Muramatsu, S., Yasuda, H., Hayasaka, K., Otake, Y., Ono, S., & Yukawa, M. (2019). Convolutional-sparse-coded Dynamic Mode Decomposition and Its Application to River State Estimation. In 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings (pp. 1872-1876). [8683848] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2019-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2019.8683848