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Tests for time series data using recurrence plots

Research Project

Project/Area Number 21700249
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionThe University of Tokyo

Principal Investigator

HIRATA Yoshito  The University of Tokyo, 生産技術研究所, 特任准教授 (40512017)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords複雑系 / 時系列解析 / 信号処理 / 非線形現象 / 非線形理論
Research Abstract

This research aimed at proposing tests for time series data using recurrence plots. Especially, we proposed methods that characterize the underlying dynamics by using the probabilistic and/or topological properties. The proposed tests include those for stationarity, serial dependence, periodicity, stationary linearity, deterministic chaos, and synchronization. We validated these tests using toy models whose characteristics are well known, and applied the tests to various real datasets.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (24 results)

All 2010 2009 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (17 results) Remarks (1 results)

  • [Journal Article] Identifying hidden common causes from bivariate time series : A method using recurrence plots2010

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      Physical Review E 81

      Pages: 16203-16203

    • Related Report
      2010 Final Research Report 2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Devaney's chaos on recurrence plots2010

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      Physical Review E 82

      Pages: 36209-36209

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Definition of distance for marked point process data and its application to recurrence plot-based analysis of exchange tick data of foreign currencies2010

    • Author(s)
      Satoshi Suzuki, Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      International Journal of Bifurcation and Chaos 20

      Pages: 3699-3708

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Devaney's chaos on recurrence plots2010

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      Physical Review E

      Volume: 82 Pages: 36209-36209

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Definition of distance for marked point process data and its application to recurrence plot-based analysis of exchange tick data of foreign currencies2010

    • Author(s)
      Satoshi Suzuki, Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      International Journal of Bifurcation and Chaos

      Volume: 20 Pages: 3699-3708

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Statistical tests for serial dependence and laminarity on recurrence plots

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Journal Title

      International Journal of Bifurcation and Chaos 21,in press.

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] リカレンスプロット:時系列の視覚化を越えて2010

    • Author(s)
      平田祥人
    • Organizer
      マクロ経済動学の非線形数理
    • Place of Presentation
      京都
    • Year and Date
      2010-09-10
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Linearity and nonlinearity within recurrence plots2010

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Organizer
      2010 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      クラクフ(ポーランド)
    • Year and Date
      2010-09-08
    • Related Report
      2010 Final Research Report
  • [Presentation] Linearity and nonlinearity within recurrence plots2010

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Organizer
      2010 International Symposium on Nonlinear Theory and its Applications
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Time series analysis using distances2010

    • Author(s)
      平田祥人
    • Organizer
      GSC七夕ミーティング
    • Place of Presentation
      横浜
    • Year and Date
      2010-07-15
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Identifying common hidden causes from bivariate time series in the brain2010

    • Author(s)
      Yoshito Hirata, Yoshiya Matsuzaka, Hajime Mushiake, Kazuyuki Aihara
    • Organizer
      458^<th> WE-Heraues-seminar, SYNCLNIE 2010 Synchronization in Complex Networks
    • Place of Presentation
      バッド・ホンネフ(ドイツ)
    • Year and Date
      2010-05-27
    • Related Report
      2010 Final Research Report
  • [Presentation] Identifying common hidden causes from bivariate time series in the brain2010

    • Author(s)
      Yoshito Hirata, Yoshiya Matsuzaka, Hajime Mushiake, Kazuyuki Aihara
    • Organizer
      458th WE-Heraues-seminar, SYNCLINE 2010 Synchronization in Complex Networks
    • Place of Presentation
      Bad Honnef, Germany
    • Year and Date
      2010-05-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] Synchronized brain activity change related to perceptual alternations2010

    • Author(s)
      Koji Iwayama, Kohske Takahashi, Katsumi Watanabe, Yoshito Hirata, Kazuyuki Aihara, Hideyuki Suzuki
    • Organizer
      The Fifteenth International Symposium on Artificial Life and Robotics
    • Place of Presentation
      別府
    • Year and Date
      2010-02-06
    • Related Report
      2010 Final Research Report
  • [Presentation] Synchronized brain activity changes related to perceptual alternations2010

    • Author(s)
      岩山幸治, 高橋康介, 渡邊克己, 平田祥人, 合原一幸, 鈴木秀幸
    • Organizer
      The Fifteenth International Symposium on Artificial Life and Robotics
    • Place of Presentation
      別府(大分)
    • Year and Date
      2010-02-06
    • Related Report
      2009 Annual Research Report
  • [Presentation] リカレンスプロットと外力の再構成2010

    • Author(s)
      平田祥人
    • Organizer
      複雑系現象の時系列解析4:工学・生物・物理現象
    • Place of Presentation
      東京
    • Year and Date
      2010-01-28
    • Related Report
      2010 Final Research Report
  • [Presentation] リカレンスプロットと外力の再構成2010

    • Author(s)
      平田祥人
    • Organizer
      複雑系現象の時系列解析4:工学・生物・物理現象
    • Place of Presentation
      明治大学(東京)
    • Year and Date
      2010-01-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] 知覚交代に伴う脳活動の変化2010

    • Author(s)
      岩山幸治, 高橋康介, 渡邊克己, 平田祥人, 合原一幸, 鈴木秀幸
    • Organizer
      脳と心のシンポジウム第10回冬のワークショップ
    • Place of Presentation
      留寿都
    • Year and Date
      2010-01-12
    • Related Report
      2010 Final Research Report
  • [Presentation] 知覚交代に伴う脳活動の変化2010

    • Author(s)
      岩山幸治、高橋康介、渡邊克己、平田祥人、合原一幸、鈴木秀幸
    • Organizer
      脳と心のメカニズム第10回冬のワークショップ
    • Place of Presentation
      留寿都(北海道)
    • Year and Date
      2010-01-12
    • Related Report
      2009 Annual Research Report
  • [Presentation] リカレンスプロットを用いた変化点検出手法の提案2009

    • Author(s)
      岩山幸治, 平田祥人, 合原一幸, 鈴木秀幸
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      屋久島
    • Year and Date
      2009-11-11
    • Related Report
      2010 Final Research Report
  • [Presentation] リカレンスプロットを用いた変化点検出手法の提案2009

    • Author(s)
      岩山幸治、平田祥人、合原一幸、鈴木秀幸
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      屋久島(鹿児島)
    • Year and Date
      2009-11-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] Testing serial dependence on recurrence plots2009

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Organizer
      The Third International Symposium on Recurrence Plots
    • Place of Presentation
      モントリオール(カナダ)
    • Year and Date
      2009-08-26
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Recurrence plots and their application in reconstructing driving forces2009

    • Author(s)
      Yoshito Hirata, Kazuyuki Aihara
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      スノーバード(アメリカ)
    • Year and Date
      2009-05-20
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] Identifying coupling types from observed data2009

    • Author(s)
      Yoshito Hirata, Fumiaki Iida, Kiyoshi Kotani, Kevin Judd, Kiyoshi Takamasu, Kazuyuki Aihara
    • Organizer
      SIAM Conference on Applications of Dynamical Systems
    • Place of Presentation
      スノーバード(アメリカ)
    • Year and Date
      2009-05-19
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.sat.t.u-tokyo.ac.jp/~yoshito/

    • Related Report
      2010 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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