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Analysis of real singularities and its application to mathematical information

Research Project

Project/Area Number 23740094
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionCyber University

Principal Investigator

MATSUDA Takeshi  サイバー大学, 総合情報学部, 講師 (40591178)

Research Collaborator SONODA Michio  サイバー大学, 総合情報学部, 准教授
Project Period (FY) 2011 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsベイズ学習 / 実特異点 / 汎化誤差 / Web アプリケーション攻撃 / 自動検出 / 確率モデル / 特異点解析 / 情報セキュリティ / 情報数理
Research Abstract

In this study, we studied on real singularities analysis in Bayesian inference and its application to information security. Firstly, we studied on real singularities of Bayesian inference and the generalization error. Secondly, we studied on the method to apply Bayesian inference to the detection of web application attacks. In that process, we proposed the extraction method of attack features using symbols in strings. By using the feature extraction method, we proposed a new stochastic model to detect web application attacks. Finally, we showed that the effectiveness of Bayesian inference concerning the application of the detection of web application attacks.

Report

(3 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Research-status Report
  • Research Products

    (19 results)

All 2013 2012 2011 Other

All Journal Article (9 results) (of which Peer Reviewed: 9 results) Presentation (8 results) Remarks (2 results)

  • [Journal Article] Desingularization of Mixture Tetranomial Distributions and Its Application for the Detection of Web Application Attacks2013

    • Author(s)
      Takeshi Matsuda
    • Journal Title

      The Proceedings of ICMA 2012

      Pages: 107-112

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] SQLインジェクション攻撃自動検出支援モデルと予測誤差2013

    • Author(s)
      松田健
    • Journal Title

      情報処理学会論文誌数理モデル化と応用

      Volume: Vol.6,No.1 Pages: 10-19

    • NAID

      110008791144

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Desingularization of Mixture Tetranomial Distributions and Its Application for the Detection of Web Application Attacks2013

    • Author(s)
      Takeshi Matsuda
    • Journal Title

      The Proceedings of ICMA 2012 (ISSN 1224-6069)

      Volume: 1 Pages: 107-112

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] SQLインジェクション攻撃自動検出支援モデルと予測誤差2013

    • Author(s)
      松田健
    • Journal Title

      情報処理学会論文誌 数理モデル化と応用

      Volume: Vol.6, No.1 Pages: 10-19

    • NAID

      110008791144

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Cross Site Scripting Attacks Detection Algorithm Based on the Appearance Position of Characters2012

    • Author(s)
      Takeshi Matsuda, Daiki Koizumi, MichioSonoda
    • Journal Title

      Proceedings in the 5th International Conference on Communications, Computers and Applications

      Pages: 53-58

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the classification based on the stochastic method2012

    • Author(s)
      Takeshi Matsuda
    • Journal Title

      Mathematical Sciences InternationalResearch Journal

      Volume: Volume1,Number2 Pages: 394-402

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Estimation of SQL Injection AttacksBased on Single Character2012

    • Author(s)
      Takeshi Matsuda
    • Journal Title

      The 2012 International Conference on Applied and Theoretical Information Systems Research

      Volume: (CD-ROM)

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Predictive Errors of SQL Injection Attack Detection by the Feature of the Single Character2011

    • Author(s)
      Takeshi Matsuda, Daiki Koizumi, MichioSonoda, Shigeichi Hirasawa
    • Journal Title

      Proceedings of The 2011 IEEE International Conference on Systems, Man, and Cybernetics

      Pages: 1722-1727

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On Upper and Lower Boundaries of Real Log Canonical Threshold and Free Energy2011

    • Author(s)
      Takeshi Matsuda
    • Journal Title

      The 7th International Conference on Mathematics, Statistics and its Applications (ICMSA 2011)

      Pages: 226-235

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Presentation] Desingularization of Mixture Tetranomial Distributions and Its Application for the Detection of Web Application Attacks2012

    • Author(s)
      Takeshi Matsuda
    • Organizer
      The 13th International Conference on Mathematics and Applications,
    • Place of Presentation
      University "Politehnica" of Timisoara, Romania
    • Year and Date
      2012-11-02
    • Related Report
      2012 Final Research Report
  • [Presentation] Predictive distribution of SQL Injection attacks Detection Model2012

    • Author(s)
      Takeshi Matsuda, Daiki Koizumi, Michio Sonoda, Shigeichi Hirasawa
    • Organizer
      11th World Meeting of the International Society for Bayesian Analysis 2012
    • Place of Presentation
      京都テルサ
    • Year and Date
      2012-06-28
    • Related Report
      2012 Final Research Report
  • [Presentation] 攻撃文字列の特徴抽出とWebアプリケーションの自動検出へのアプローチ2012

    • Author(s)
      園田道夫,松田健,小泉大城,平澤茂一,辻井重男
    • Organizer
      情報処理学会第74回全国大会講演論文集
    • Place of Presentation
      名古屋工業大学
    • Year and Date
      2012-03-08
    • Related Report
      2012 Final Research Report
  • [Presentation] SQLインジェクション攻撃自動検出支援モデルと予測誤差,情報処理学会研究報告2012

    • Author(s)
      松田健
    • Organizer
      MPS,数理モデル化と問題解決研究報告2012
    • Place of Presentation
      鹿児島県指宿市民会館
    • Year and Date
      2012-03-02
    • Related Report
      2012 Final Research Report
  • [Presentation] Predictive distribution of SQL Injection attacks Detection Model2012

    • Author(s)
      Takeshi Matsuda
    • Organizer
      11th World Meeting of the International Society for Bayesian Analysis 2012
    • Place of Presentation
      京都テレサ
    • Related Report
      2012 Annual Research Report
  • [Presentation] Estimation of SQL Injection Attacks Based on Single Character2012

    • Author(s)
      Takeshi Matsuda
    • Organizer
      2012 International Conference on Applied and Theoretical Information Systems Research
    • Place of Presentation
      台湾、台北
    • Related Report
      2011 Research-status Report
  • [Presentation] On Upper and Lower Boundaries of Real Log Canonical Threshold and Free Energy2011

    • Author(s)
      Takeshi Matsuda
    • Organizer
      2011 International Conference on Mathematics, Statics and its Application
    • Place of Presentation
      タイ、バンコク
    • Related Report
      2011 Research-status Report
  • [Presentation] On Predictive Errors of SQL Injection Attack Detection by the Feature of the Single Character2011

    • Author(s)
      Takeshi Matsuda, Daiki Koizumi, Michio Sonoda, Shigeichi Hirasawa
    • Organizer
      2011 IEEE International Conference on Systems, Man, and Cybernetics
    • Place of Presentation
      アメリカ、アンカレッジ
    • Related Report
      2011 Research-status Report
  • [Remarks]

    • URL

      http://matsudalab.office-server.co.jp/linear_algebra/index.html

    • Related Report
      2012 Final Research Report
  • [Remarks] 静岡理工科大学松田研究室

    • URL

      http://matsudalab.office-server.co.jp/linear_algebra/result.html

    • Related Report
      2012 Annual Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

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