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Detection of State Changes and Structural Changes in Nonlinear Stochastic Systems and Their Risk Management

Research Project

Project/Area Number 18K04626
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 25010:Social systems engineering-related
Research InstitutionKurume University

Principal Investigator

Tan Kouyuu  久留米大学, 経済学部, 教授 (70368968)

Co-Investigator(Kenkyū-buntansha) 谷口 剛  久留米大学, 文学部, 教授 (00102096)
Project Period (FY) 2018-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2021: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
KeywordsChange Point / State/Structural Change / Bayesian Inference / Markov Regime Switching / SDE Dynamics / KSVM / Change point / Anomaly detection / Parallel computing / Baysian Inference / MRSA / Support Vector Machine / SDE / GEV distribution / Structural Change / change point / Bayesian / jump / particle filter / 構造変化・転換点の検出 / ジャンプ / 形状変化の推定 / 確率分布の推定 / ネットワークの変化 / 転換点の検出 / 構造変化の検出 / 確率微分方程式 / 不正侵入の検出 / ネットワークトラフィック / 数理統計的なアプローチ / 非線形確率システム / 状態・構造変化の検知、予測 / リスク管理 / ハイブリッド解析法
Outline of Final Research Achievements

The following results were obtained from this research:
The multiple methods proposed, established, and developed in this research (such as mathematical modeling techniques and system analysis methods) have been confirmed through empirical analysis and numerical analysis, including simulations, to be effective and applicable in various fields. These fields include not only the analysis of economic and management time series data, but also the detection of structural changes in stochastic differential equations (SDEs), the detection of network attacks on systems, and signal processing of time series data. Additionally, the use of parallel computing with multicore technology has allowed for a significant exponential reduction in computation time for methods such as Markov Chain Monte Carlo Methods. International collaboration and research partnerships enabled the dissemination of Japan's research achievements to the world.

Academic Significance and Societal Importance of the Research Achievements

非線形確率システムにおける状態変化・構造変化に関する既往の成果よりも,本研究では,より汎用的な数理モデリング/解析手法を複数に提案・開発しており, より正確的にリアルタイムにシステムの状態変化・構造変化を検出することができた。
提案手法はシステムの構造変化, COVID-19の感染者数の動的変化, ネット攻撃, 株価・為替レートの急激な変化などをいちはやく捉えることができた。文理を問わず,多くの分野における提案・開発された手法の有効性が実証分析・数値解析によって確認された。これからのより情報化・AI化の社会において、様々な状況において,提案手法の活用が期待できると考えられる。

Report

(7 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (34 results)

All 2024 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (6 results) Journal Article (21 results) (of which Peer Reviewed: 20 results,  Open Access: 5 results) Presentation (4 results) Book (1 results) Funded Workshop (2 results)

  • [Int'l Joint Research] コロンビア大学(米国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] クィーンズ大学(カナダ)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] クインズ大学(カナダ)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Columbia University(米国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] UniversityofScienceandTechnologyofChina/Department of Statistics and Finance(中国)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Columbia University/Department of statistics(米国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Evaluating the Effectiveness of Parallel Computing by Using CPU with Multicores2024

    • Author(s)
      Kangrong Tan
    • Journal Title

      J of Economic and Social Research

      Volume: 65

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Markov Regime Switching Analysis for COVID-19 Outbreak Situations and their Dynamic Linkages of German Market2023

    • Author(s)
      Kangrong Tan, Shozo Tokinaga
    • Journal Title

      Advances in Science, Technology and Engineering Systems Journal (ASTESJ)

      Volume: 8 Issue: 3 Pages: 11-18

    • DOI

      10.25046/aj080302

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Entry and Exit Decision Under Uncertainty Where Prices Include Jump Diffusion Processes2023

    • Author(s)
      Kangrong Tan, Shozo Tokinaga
    • Journal Title

      Proceedings of the 2022 International Conference on Computational Science and Computational Intelligence

      Volume: CSCI2022 Pages: 534-539

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Markov Regime Switching Analysis for COVID-19 Outbreak Situations and their Dynamic Linkages of German Market2023

    • Author(s)
      Kangrong Tan, Shozo Tokinaga
    • Journal Title

      Advances in Science, Technology and Engineering Systems Journal

      Volume: 8(3) Pages: 11-18

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Multi-Fractality Analysis of Network Traffic based on the Network Tomography and the Genetic Programming and its Applications2022

    • Author(s)
      Shozo Tokinaga, Kangrong Tan
    • Journal Title

      Journal of Political Economy

      Volume: 89(1) Pages: 23-40

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] 証券投資家間の情報ネットワーク形成過程のEdge Snapping による同期化を用いた分析2022

    • Author(s)
      時永祥三, 譚康融
    • Journal Title

      經濟學研究

      Volume: 89(4) Pages: 37-50

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Estimation of Occurrence of Jumps in Time Series Models Including Jump Diffusion Processes and Their Applications to Optimal Portfolio Formations2022

    • Author(s)
      Shozo Tokinaga, Kangrong Tan
    • Journal Title

      Journal of Political Economy

      Volume: 88(5-6) Pages: 33-45

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] The Impact of the COVID-19 Pandemic on the Stock Market : Evidence from Germany2022

    • Author(s)
      Kangrong Tan
    • Journal Title

      コンピュータジャーナル

      Volume: 36 Pages: 14-24

    • NAID

      120007191598

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Markov Regime Switching Analysis for the Pandemic and the Dynamics of German Market2022

    • Author(s)
      Kangrong Tan, Shozo Tokinaga
    • Journal Title

      The 2021 Proceedings of International Conference on Computational Science and Computational Intelligence(CSCI)

      Volume: 2021

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Detecting Rare Events Based upon One-Class Support Vector Machine2021

    • Author(s)
      Kangrong Tan
    • Journal Title

      The Journal of the Society for Studies on Industrial Economies

      Volume: 62(1-2) Pages: 1-13

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Estimation of Connectivity among Units of Vector Auto-Regressive Models Based On the Edge Snapping and its Applications to the Network Formations / Disruptions Analysis2021

    • Author(s)
      Shozo Tokinaga, Kangrong Tan
    • Journal Title

      Journal of Political Economy

      Volume: 88(2-3) Pages: 73-88

    • NAID

      120007160536

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Identifying the Pandemic Change Points of COVID-19 Outbreak : Case Studies in Germany, Italy and Austria2021

    • Author(s)
      Kangrong Tan
    • Journal Title

      The journal of the Society for Studies on Economies and Societies

      Volume: 61(2-3) Pages: 19-33

    • NAID

      120006994654

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Estimating States of Variables in Nonlinear Models used for Supplier-Retailer Relation based on Particle Filters and its Applications to Suppression of Bullwhip Effects2020

    • Author(s)
      Shozo Tokinaga,  Kangrong Tan
    • Journal Title

      Journal of Political Economy

      Volume: 87(4) Pages: 47-65

    • NAID

      120007008019

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Estimation of Occurrence of Jumps in Time Series Models Including Jump Diffusion Processes and Their Applications2020

    • Author(s)
      Kangrong Tan, Shozo Tokinaga
    • Journal Title

      Proceedings of NOLTA2019

      Volume: なし Pages: 353-356

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Edge Snappingによるベクトル自己回帰モデルユニット間の結合推定とその応用2020

    • Author(s)
      譚康融、時永祥三
    • Journal Title

      信学技報, CAS2019-124, pp. , 2020年2月.

      Volume: 119(423) Pages: 155-160

    • Related Report
      2019 Research-status Report
  • [Journal Article] サプライチェーン管理における異質エージェントのモデル化とトモグラフィを用いた確率分布推定2020

    • Author(s)
      時永祥三, 譚康融
    • Journal Title

      經濟學研究

      Volume: 86 (5/6) Pages: 1-18

    • NAID

      120006826189

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Estimation of the Statistical Properties of Network Traffic Time Series and Its Rare Events2019

    • Author(s)
      Kangrong Tan
    • Journal Title

      経済社会研究

      Volume: 59(4) Pages: 181-202

    • NAID

      120006730687

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] 遺伝的プログラミングを用いた動的ベイズネットワーク記述における形状変化の推定とその応用2019

    • Author(s)
      時永祥三, 譚康融
    • Journal Title

      經濟學研究

      Volume: 86 (2/3) Pages: 1-18

    • NAID

      120006732882

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] 通信トラフィック解析及びその転換点の検出について2019

    • Author(s)
      譚 康融
    • Journal Title

      コンピュータ・ジャーナル

      Volume: 33 Pages: 67-85

    • NAID

      120006577712

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] ネットワークにおけるEdge Snappingによる構成要素間の結合係数変化もモデル化を用いた連携分析とその応用2019

    • Author(s)
      時永祥三 譚 康融
    • Journal Title

      経済学研究

      Volume: 85 Pages: 47-60

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Detecting Structural Changes in Stochastic Differential Equation System Based Upon a Bayesian Approach2018

    • Author(s)
      Kangrong Tan
    • Journal Title

      経済社会研究

      Volume: Vol.58, No.1-2 Pages: 51-67

    • NAID

      120006495357

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] システムにおける異常値などの検知について2022

    • Author(s)
      譚康融
    • Organizer
      日本オペレーションズ・リサーチ学会
    • Related Report
      2021 Research-status Report
  • [Presentation] SDEにおけるChange Pointの検出について2022

    • Author(s)
      譚康融
    • Organizer
      久留米大学経済学会
    • Related Report
      2021 Research-status Report
  • [Presentation] Edge Snappingによるベクトル自己回帰モデルユニット間の結合推定とその応用2020

    • Author(s)
      譚康融、時永祥三
    • Organizer
      電子情報通信学会回路システム研究会
    • Related Report
      2019 Research-status Report
  • [Presentation] 学内ネットワークのトラフィック解析2019

    • Author(s)
      譚康融
    • Organizer
      2019年秋季研究発表会
    • Related Report
      2019 Research-status Report
  • [Book] Rによる経済・経営データ解析入門2023

    • Author(s)
      譚 康融
    • Total Pages
      254
    • Publisher
      九州大学出版会
    • Related Report
      2023 Annual Research Report
  • [Funded Workshop] 国際講演研究会・意見交流会2022

    • Related Report
      2022 Research-status Report
  • [Funded Workshop] 国際研究講演会(Columbia University)2021

    • Related Report
      2021 Research-status Report

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Published: 2018-04-23   Modified: 2025-01-30  

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