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Creation of signal statistical mechanics and its development in insightful understanding

Research Project

Project/Area Number 17K06449
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Communication/Network engineering
Research InstitutionKansai University

Principal Investigator

MIYOSHI Seiji  関西大学, システム理工学部, 教授 (10270307)

Co-Investigator(Kenkyū-buntansha) 梶川 嘉延  関西大学, システム理工学部, 教授 (30268312)
本仲 君子  関西大学, システム理工学部, 助教 (70781772)
Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords統計力学 / 信号処理 / 適応信号処理 / ボルテラフィルタ / 時変 / 情報統計力学
Outline of Final Research Achievements

The behavior of the nonlinear adaptive signal processing system was theoretically analyzed using statistical mechanics. That is, the dynamic behavior of MSE is described for the case where the unknown system P is modeled by the k-th order (arbitrary order) Volterra filter, and this is learned by the adaptive Volterra filter H updated by the LMS algorithm. The simultaneous differential equations were deterministically derived by considering the limit with a large tap length N and solved analytically. The theory obtained quantitatively predicts the dynamic behavior of MSE. Furthermore, we theoretically analyzed the behavior of the system in which the Volterra kernel of P are band-arranged in the case of the third order or less.

Academic Significance and Societal Importance of the Research Achievements

信号処理分野に新しい理論解析手法をもって挑むことにより「信号統計力学」という新たなパラダイムを創成し、「洞察」をキーワードに応用への展開を図る点において学術的意義がある。ステップサイズパラメータの上限など、これまではディジタルシグナルプロセッサを利用した実験や計算機シミュレーションにより試行錯誤によるしかなかった設計パラメータの決定に理論的な観点から指針を与え、実用上きわめて重要で広い応用範囲を持つ信号処理という分野に、理論解析の側面から貢献するという点で社会的意義がある。

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (36 results)

All 2021 2020 2019 2018 2017 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results,  Open Access: 2 results) Presentation (24 results) (of which Int'l Joint Research: 5 results) Remarks (2 results)

  • [Journal Article] Statistical-Mechanical Analysis of Adaptive Volterra Filter with the LMS algorithm2021

    • Author(s)
      Kimiko Motonaka, Tomoya Koseki, Yoshinobu Kajikawa, and Seiji Miyoshi
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E104-A

    • NAID

      130008123142

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] BVCを用いたクワッドロータの障害物回避手法の検討2021

    • Author(s)
      本仲 君子,三好 誠司
    • Journal Title

      日本ロボット学会誌

      Volume: 39

    • NAID

      130008055460

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ボロノイ分割を用いた複数のクワッドロータの相互衝突回避に関する数値的検証2020

    • Author(s)
      中川 健人,権 裕煥,本仲 君子,三好 誠司
    • Journal Title

      計測自動制御学会論文集

      Volume: 56 Pages: 31-36

    • NAID

      130007793660

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Connecting PM and MAP in Bayesian spectral deconvolution by extending exchange Monte Carlo method and using multiple data sets2019

    • Author(s)
      Kimiko Motonaka and Seiji Miyoshi
    • Journal Title

      Neural Networks

      Volume: 118 Pages: 159-166

    • DOI

      10.1016/j.neunet.2019.05.004

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Statistical-Mechanics Approach to Theoretical Analysis of the FXLMS Algorithm2018

    • Author(s)
      MIYOSHI Seiji、KAJIKAWA Yoshinobu
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E101.A Issue: 12 Pages: 2419-2433

    • DOI

      10.1587/transfun.E101.A.2419

    • NAID

      130007539013

    • ISSN
      0916-8508, 1745-1337
    • Year and Date
      2018-12-01
    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Non-monotonic convergence of online learning algorithms for perceptrons with noisy teacher2018

    • Author(s)
      Ikeda Kazushi、Honda Arata、Hanzawa Hiroaki、Miyoshi Seiji
    • Journal Title

      Neural Networks

      Volume: 102 Pages: 21-26

    • DOI

      10.1016/j.neunet.2018.02.009

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] マルチチャネル型能動騒音制御の統計力学的解析2018

    • Author(s)
      邨田朋生,梶川嘉延,三好誠司
    • Journal Title

      システム制御情報学会論文誌

      Volume: 31 Pages: 184-190

    • NAID

      130007434352

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Statistical-Mechanical Analysis on Adaptation Rate and Its Measures of Active Noise Control2018

    • Author(s)
      寺内清訓,本仲君子,梶川嘉延,三好誠司
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 138 Issue: 4 Pages: 369-374

    • DOI

      10.1541/ieejeiss.138.369

    • NAID

      130006602505

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Statistical Mechanics of On-Line Learning Using Correlated Examples and Its Optimal Scheduling2017

    • Author(s)
      Fujii Takashi、Ito Hidetaka、Miyoshi Seiji
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 8 Pages: 084804-084804

    • DOI

      10.7566/jpsj.86.084804

    • NAID

      40021286371

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Statistical-Mechanical Analysis Connecting Supervised Learning and Semi-Supervised Learning2017

    • Author(s)
      Fujii Takashi、Ito Hidetaka、Miyoshi Seiji
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 86 Issue: 6 Pages: 063801-063801

    • DOI

      10.7566/jpsj.86.063801

    • NAID

      210000134385

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] A Synthesis Method of Spiking Neural Oscillators with Considering Asymptotic Stability2021

    • Author(s)
      Yasuaki Kuroe, Seiji Miyoshi, Hiroomi Hikawa, Hidetaka Ito, Kimiko Motonaka, and Yutaka Maeda
    • Organizer
      2021 International Joint Conference on Neural Networks (IJCNN2021)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research
  • [Presentation] BVCを用いたクワッドロータの障害物回避手法の検討2020

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      第38回日本ロボット学会学術講演会(オンライン)
    • Related Report
      2020 Annual Research Report
  • [Presentation] Combining Model Predictive Path Integral with Kalman Variational Auto-encoder for Robot Control from Raw Images2020

    • Author(s)
      Yuhwan Kwon, Takumi Kaneko, Yoshihisa Tsurumine, Hikaru Sasaki, Kimiko Motonaka, Seiji Miyoshi, Takamitsu Matsubara
    • Organizer
      2020 IEEE/SICE International Symposium on System Integration (SII2020)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 適応ボルテラフィルタの動的なふるまいに関する統計力学的解析2020

    • Author(s)
      本仲君子,小関智也,梶川嘉延,三好誠司
    • Organizer
      電子情報通信学会 ニューロコンピューティング研究会
    • Related Report
      2019 Research-status Report
  • [Presentation] 高次適応ボルテラフィルタに関する統計力学的解析2019

    • Author(s)
      本仲君子,小関智也,梶川嘉延,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] ガウス過程回帰を用いた大量運動者の心拍データ送信制御法2019

    • Author(s)
      藤田宙,本仲君子, 四方博之,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2019 Research-status Report
  • [Presentation] スパース合意制御のクワッドロータ群への適用2019

    • Author(s)
      本仲君子,志水勇仁,野坂昴宏,永原正章,三好誠司
    • Organizer
      第37回日本ロボット学会学術講演会
    • Related Report
      2019 Research-status Report
  • [Presentation] BVCに基づく複数クワッドロータの相互衝突回避手法の検証2019

    • Author(s)
      中川健人,権裕煥,本仲君子,三好誠司
    • Organizer
      ロボティクス・メカトロニクス講演会 ROBOMECH2019
    • Related Report
      2019 Research-status Report
  • [Presentation] モデル予測経路積分制御と深層経路コスト予測器による高次元観測モデルベース強化学習2019

    • Author(s)
      権裕煥,鶴峯義久,本仲君子,三好誠司,松原崇充
    • Organizer
      ロボティクス・メカトロニクス講演会 ROBOMECH2019
    • Related Report
      2019 Research-status Report
  • [Presentation] Statistical-Mechanical Analysis of the Second-Order Adaptive Volterra Filter2018

    • Author(s)
      Kimiko Motonaka, Takashi Katsube, Yoshinobu Kajikawa, and Seiji Miyoshi
    • Organizer
      Asia-Pacific Signal and Information Processing Association Annual Summit and Conference 2018 (APSIPA ASC 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Empirical Verification of Information Theoretic Model Predictive Control2018

    • Author(s)
      Yuhwan Kwon, Kimiko Motonaka, Takamitsu Matsubara, and Seiji Miyoshi
    • Organizer
      Society of Instrument and Control Engineers Annual Conference 2018 (SICE 2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] ボロノイ分割を用いた複数のクワッドロータの相互衝突回避に関する数値的検証2018

    • Author(s)
      中川健人,本仲君子,三好誠司
    • Organizer
      第19回 計測自動制御学会 システムインテグレーション部門講演会(SI2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] 変化検知手法を用いた大量運動者の心拍データ送信制御法2018

    • Author(s)
      藤田宙,本仲君子, 四方博之,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2018 Research-status Report
  • [Presentation] 複数のデータセットを用いたスペクトル分解(II)2018

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      日本物理学会年次大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 変分オートエンコーデッドモデル予測経路積分制御と画像入力に基づくロボット制御への応用2018

    • Author(s)
      権裕煥,金子拓光,鶴峯義久,佐々木光,本仲君子,三好誠司,松原崇充
    • Organizer
      第36回日本ロボット学会学術講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] 数値実験による情報論的モデル予測制御の性能検証2018

    • Author(s)
      権裕煥,本仲君子,松原崇充,三好誠司
    • Organizer
      第62回システム制御情報学会研究発表講演会 (SCI'18)
    • Related Report
      2018 Research-status Report
  • [Presentation] 複数のデータセットを用いたスペクトル分解2018

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      日本物理学会年次大会
    • Related Report
      2017 Research-status Report
  • [Presentation] Statistical-mechanical analysis of the FXLMS algorithm for multiple-channel active noise control2017

    • Author(s)
      Tomoki Murata,Yoshinobu Kajikawa, and Seiji Miyoshi
    • Organizer
      Asia-Pacific Signal and Information Processing Association Annual Summit and Conference 2017 (APSIPA ASC 2017), 141 (4 pages), Kuala Lumpur, Malaysia,
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] マルチチャネル型ANCシステムに関する統計力学的解析2017

    • Author(s)
      邨田朋生,梶川嘉延,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] ANCシステムの適応速度とその評価尺度に関する統計力学的解析2017

    • Author(s)
      寺内清訓,本仲君子,梶川嘉延,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 交換モンテカルロ法を用いたスペクトル分解の精度に関する検討2017

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      信号処理シンポジウム
    • Related Report
      2017 Research-status Report
  • [Presentation] 複数のデータセットを用いるスペクトル分解と交換モンテカルロ法に関する検討2017

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      電子情報通信学会 ニューロコンピューティング研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] 拡張交換モンテカルロ法によるスペクトル分解と準MAP推定2017

    • Author(s)
      本仲君子,三好誠司
    • Organizer
      日本物理学会秋季大会
    • Related Report
      2017 Research-status Report
  • [Presentation] マルチチャネル型能動騒音制御の統計力学的解析2017

    • Author(s)
      邨田朋生,梶川嘉延,三好誠司
    • Organizer
      第61回システム制御情報学会研究発表講演会
    • Related Report
      2017 Research-status Report
  • [Remarks] 三好誠司 研究業績

    • URL

      http://www2.itc.kansai-u.ac.jp/~miyoshi/cnt/gyoseki.html

    • Related Report
      2020 Annual Research Report 2018 Research-status Report
  • [Remarks] 関西大学 学術情報システム 三好誠司

    • URL

      http://gakujo.kansai-u.ac.jp/profile/ja/d4bfadef3ay24c19881gaccbe4c9a0.html

    • Related Report
      2020 Annual Research Report

URL: 

Published: 2017-04-28   Modified: 2022-01-27  

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