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Statistical mechanical study on relaxation of the bipartite constraint in community detection of graphs

Research Project

Project/Area Number 18K18127
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 61040:Soft computing-related
Research InstitutionNational Institute of Advanced Industrial Science and Technology

Principal Investigator

Kawamoto Tatsuro  国立研究開発法人産業技術総合研究所, 情報・人間工学領域, 研究員 (10791444)

Project Period (FY) 2018-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywordsグラフ分割 / ネットワーク / 統計推論 / 2部グラフ / レプリカ法 / ランダムグラフ / 検出限界 / 貪欲法 / 全域木 / 抵抗距離 / 行列木定理 / グラスマン代数 / ネットワーク科学 / 情報統計力学 / コミュニティ検出 / 相転移
Outline of Final Research Achievements

The goal of this research was to obtain a deeper insight into inference algorithms of group structures on bipartite graphs. We initially considered to work on revealing the effects caused by relaxing the bipartite constraint on a graph. As we proceed, however, we realized a need to work on algorithmic issues on graphs and obtained several results in that direction (greedy algorithms, path-based algorithms, spectral method, etc.).

Academic Significance and Societal Importance of the Research Achievements

研究代表者は、グラフ推論を用いて、自由記述式アンケートを分析する方法を提案しており、本研究はそのための理論研究という位置付けであった。自由記述式アンケートは、社会調査を行う上で大変重要である。社会の実態を正確に捉えるために、将来的に本研究の成果が役立てば良いと考えている。

Report

(3 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • Research Products

    (9 results)

All 2020 2019 2018 Other

All Int'l Joint Research (2 results) Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (5 results) (of which Int'l Joint Research: 3 results) Remarks (1 results)

  • [Int'l Joint Research] University of Oxford(英国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Bath(英国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Counting the number of metastable states in the modularity landscape: Algorithmic detectability limit of greedy algorithms in community detection2019

    • Author(s)
      Tatsuro Kawamoto and Yoshiyuki Kabashima
    • Journal Title

      Physical Review E, Rapid Communications

      Volume: 99 Issue: 1 Pages: 010301-010305

    • DOI

      10.1103/physreve.99.010301

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] “Robustness of spectral clustering for networks with an overlapping community structure2020

    • Author(s)
      野口千尋
    • Organizer
      NetSci-X Tokyo
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical performance assessment for inference of block models with multiple edge labels2020

    • Author(s)
      橋本龍太郎
    • Organizer
      NetSci-X Tokyo
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] グラスマン代数を用いたキルヒホッフ恒等式の導出2019

    • Author(s)
      川本達郎
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Evaluating a detectability threshold in community detection from the modularity landscape2018

    • Author(s)
      Tatsuro Kawamoto
    • Organizer
      NetSci2018 Satellite Symposium SINM
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] グラフ分割評価関数における準安定状態の個数評価2018

    • Author(s)
      川本達郎
    • Organizer
      日本物理学会2018年秋季大会
    • Related Report
      2018 Research-status Report
  • [Remarks] https://tatsuro-kawamoto-jp.github.io/

    • Related Report
      2019 Annual Research Report

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Published: 2018-04-23   Modified: 2021-02-19  

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