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Network Theory from Endo-perspective

Research Project

Project/Area Number 18K03423
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 12040:Applied mathematics and statistics-related
Research InstitutionTokyo Woman's Christian University

Principal Investigator

Haruna Taichi  東京女子大学, 現代教養学部, 准教授 (20518659)

Project Period (FY) 2018-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2022: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords圏論 / ネットワーク / 数理モデル / べき乗則 / 記憶容量 / カオスの縁 / ブーリアンネットワーク / 相互情報量 / 応用圏論 / 情報流
Outline of Final Research Achievements

Modes of the relations between different levels in complex systems were investigated from the endo-perspective. In particular, we studied the dynamics and information flow on networks and networks open from within. In the former, we mathematically clarified that a kind of critical dynamics is selected from the optimization of local information flow on Boolean networks, which are mathematical models of gene regulatory networks. In the latter, we defined the notion of networks open from within by formulating the idea that nodes in a network are processes in the language of category theory. We proposed measures of the importance of nodes as inputs and outputs using the notion of lateral path derived from this formulation. We applied the measures to biological network analysis.

Academic Significance and Societal Importance of the Research Achievements

ネットワーク上のダイナミクスと情報流に関する結果は単純化された数理モデルに対するものであるが、従来から数値シミュレーションが主な研究手法である複雑系の内在的観点からの理論研究において、数理的結果を得ることができることを示した理論的意義は大きい。内側から開いたネットワークに関する結果は、従来は別々に発展してきた主に統計物理学に基づく複雑ネットワークの科学と数学の圏論に基づくネットワーク理論の橋渡しとなる萌芽的な成果であり、両者の更なる相互作用による今後の発展が期待できるものである。

Report

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

    (36 results)

All 2023 2022 2021 2020 2019 2018 Other

All Journal Article (11 results) (of which Peer Reviewed: 7 results,  Open Access: 5 results) Presentation (23 results) (of which Int'l Joint Research: 7 results,  Invited: 5 results) Remarks (2 results)

  • [Journal Article] Complexity of couplings in multivariate time series via ordinal persistent homology2023

    • Author(s)
      Taichi Haruna
    • Journal Title

      Chaos

      Volume: 33 Issue: 4 Pages: 043115-043115

    • DOI

      10.1063/5.0136772

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sample Space Reducing Processes Arising from Random Inverse Images of Iterated Maps2023

    • Author(s)
      Taichi Haruna
    • Journal Title

      Proceedings of the Joint Symposium of AROB-ISBC-SWARM 2023

      Volume: 28 Pages: 1382-1384

    • Related Report
      2022 Annual Research Report
  • [Journal Article] Generalized Multiplicative Stochastic Processes Arising from One-Dimensional Maps with Noise2022

    • Author(s)
      Taichi Haruna, Kohei Nakajima
    • Journal Title

      Proceedings of the Joint Symposium of AROB-ISBC-SWARM 2022

      Volume: 27 Pages: 1543-1547

    • Related Report
      2021 Research-status Report
  • [Journal Article] 選択の構造としてのカン拡張:圏論とネットワークの数理モデル2022

    • Author(s)
      春名太一
    • Journal Title

      数学セミナー

      Volume: 725 Pages: 31-37

    • Related Report
      2021 Research-status Report
  • [Journal Article] 普遍性とそのゆらぎ:ネットワークの圏論的諸展開2020

    • Author(s)
      春名太一
    • Journal Title

      現代思想2020年7月号

      Volume: 48 Pages: 150-163

    • Related Report
      2020 Research-status Report
  • [Journal Article] Analysis and synthesis of a growing network model generating dense scale-free networks via category theory2020

    • Author(s)
      Taichi Haruna, Yukio-Pegio Gunji
    • Journal Title

      Scientific Reports

      Volume: 10 Issue: 1 Pages: 22351-22351

    • DOI

      10.1038/s41598-020-79318-7

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Optimal short-term memory before the edge of chaos in driven random recurrent networks2019

    • Author(s)
      Taichi Haruna, Kohei Nakajima
    • Journal Title

      Physical Review E

      Volume: 100 Issue: 6 Pages: 062312-062312

    • DOI

      10.1103/physreve.100.062312

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Uncertainty of the second order: Quasispecies model with inverse Bayesian inference2019

    • Author(s)
      Taichi Haruna
    • Journal Title

      Artificial Life and Robotics

      Volume: - Issue: 3 Pages: 297-303

    • DOI

      10.1007/s10015-019-00526-0

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Ordinal preferential attachment: a self-organizing principle generating dense scale-free networks2019

    • Author(s)
      Taichi Haruna, Yukio-Pegio Gunji
    • Journal Title

      Scientific Reports

      Volume: 9 Issue: 1 Pages: 4130-4130

    • DOI

      10.1038/s41598-019-40716-1

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Open networks from within: input or output betweenness centrality of nodes in directed networks2018

    • Author(s)
      Taichi Haruna
    • Journal Title

      Applied Network Science

      Volume: 3 Issue: 1 Pages: 15-15

    • DOI

      10.1007/s41109-018-0076-1

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximizing local information transfer in Boolean networks2018

    • Author(s)
      Taichi Haruna, Kohei Nakajima
    • Journal Title

      New Journal of Physics

      Volume: 20 Issue: 8 Pages: 083046-083046

    • DOI

      10.1088/1367-2630/aadbc3

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] Sample Space Reducing Processes Arising from Random Inverse Images of Iterated Maps2023

    • Author(s)
      Taichi Haruna
    • Organizer
      Eighth International Symposium on BioComplexity (ISBC 8th 2023)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 多変数時系列に対する順序的パーシステントホモロジーの性質について2023

    • Author(s)
      春名太一
    • Organizer
      第37回SICE-SI共創システム部会/第16回内部観測研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 順序的パーシステントホモロジーと多変数時系列結合の複雑性2022

    • Author(s)
      春名太一
    • Organizer
      第15回内部観測研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 二重忘却系について~二つの事例~2022

    • Author(s)
      春名太一
    • Organizer
      2022年度内部観測研究会関東部会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Echo State Networkにおける雑音誘起記憶2022

    • Author(s)
      春名太一、中嶋浩平
    • Organizer
      第23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
    • Related Report
      2022 Annual Research Report
  • [Presentation] 二重忘却系について2022

    • Author(s)
      春名太一
    • Organizer
      第36回共創システム部会研究会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Generalized Multiplicative Stochastic Processes Arising from One-Dimensional Maps with Noise2022

    • Author(s)
      Taichi Haruna, Kohei Nakajima
    • Organizer
      Seventh International Symposium on BioComplexity (ISBC 7th 2022)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Partially Ordered Permutation Complexity2022

    • Author(s)
      Taichi Haruna
    • Organizer
      Ordinal Methods: Concepts, Applications, New Developments and Challenges
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 新規タイプ生成過程の圏論的分析2022

    • Author(s)
      春名太一
    • Organizer
      灘研究連絡会
    • Related Report
      2021 Research-status Report
  • [Presentation] タイプとトークンの混同に基づく新規性出現モデルの解析2021

    • Author(s)
      春名太一
    • Organizer
      第22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
    • Related Report
      2021 Research-status Report
  • [Presentation] プロセスと制約:圏論で考えるネットワークの頂点と矢印の意味2020

    • Author(s)
      春名太一
    • Organizer
      圏論と実践的応用研究会(2020年4月26日)
    • Related Report
      2020 Research-status Report
  • [Presentation] Kan拡張とランダムKan拡張2020

    • Author(s)
      春名太一
    • Organizer
      圏論と実践的応用研究会(2020年7月25日)
    • Related Report
      2020 Research-status Report
  • [Presentation] ランダムKan拡張としてのランダム選択:複雑系ダイナミクスに潜む普遍的操作2020

    • Author(s)
      春名太一
    • Organizer
      第21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
    • Related Report
      2020 Research-status Report
  • [Presentation] ランダムKan拡張2020

    • Author(s)
      春名太一
    • Organizer
      第35回SICE-SI共創システム部会/第14回内部観測研究会
    • Related Report
      2019 Research-status Report
  • [Presentation] カオスの縁の前に~Echo State Networkの短期記憶について~2019

    • Author(s)
      春名太一、中嶋浩平
    • Organizer
      複雑コミュニケーションサイエンス研究会
    • Related Report
      2019 Research-status Report
  • [Presentation] ネットワークの圏論的数理モデリング2019

    • Author(s)
      春名太一
    • Organizer
      ネットワーク科学セミナー2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] A category theoretical perspective on an evolving network model2019

    • Author(s)
      Taichi Haruna, Yukio-Pegio Gunji
    • Organizer
      Conference on Complex Systems 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 観測過程の偶然性:圏論的定式化とそのネットワークの数理モデリングへの応用2019

    • Author(s)
      春名太一
    • Organizer
      第20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
    • Related Report
      2019 Research-status Report
  • [Presentation] 評価の実現がもたらすべき乗則2019

    • Author(s)
      春名太一
    • Organizer
      第32回SICE-SI共創システム部会/第13回内部観測研究会
    • Related Report
      2018 Research-status Report
  • [Presentation] Category theoretical insights into designing network models of living and social systems2019

    • Author(s)
      Taichi Haruna
    • Organizer
      Symposium on the Categorical Unity of the Sciences
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 圏論的数理モデリングへ向けて2019

    • Author(s)
      春名太一
    • Organizer
      複雑コミュニケーションサイエンス研究会
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Ordinal preferential attachment: Strictly local mechanism to produce scale-free networks2018

    • Author(s)
      Taichi Haruna
    • Organizer
      PROTOCOGNITION 2018, Workshop at ALIFE 2018
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量化子の置換がもたらすスケールフリーネットワーク2018

    • Author(s)
      春名太一、郡司ペギオ幸夫
    • Organizer
      第2回共創学会年次大会
    • Related Report
      2018 Research-status Report
  • [Remarks]

    • URL

      https://www.lab.twcu.ac.jp/~tharuna/study.html

    • Related Report
      2022 Annual Research Report
  • [Remarks] 複雑系科学研究室

    • URL

      http://www.lab.twcu.ac.jp/tharuna/study.html

    • Related Report
      2018 Research-status Report

URL: 

Published: 2018-04-23   Modified: 2024-01-30  

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