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From interval arithmetic to multi-peak/fuzzy distribution arithmetic-comprehensive numerical analysis for uncertain systems-

Research Project

Project/Area Number 20500214
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionShibaura Institute of Technology

Principal Investigator

KANZAWA Yuchi  Shibaura Institute of Technology, 工学部, 准教授 (00298176)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords多鋒性分布 / ファジィ分布 / ファジィクラスタリング / 許容付きデータ / 正規分布 / カーネル / 線形クラスタリング / ファジィ分類関数
Research Abstract

In this research, conventional clustering methods for uncertain data are reviewed from the probabilistic point of view, new clustering methods are proposed for clustering, PCA, or linear clustering in the data space or in the feature space, which are obtained by solving the optimization problem adding squared Euclidean norm of the value of uncertainty for data to the original objective functions.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (39 results)

All 2011 2010 2009 2008 Other

All Journal Article (12 results) (of which Peer Reviewed: 6 results) Presentation (27 results)

  • [Journal Article] Fuzzy c-Means Clustering for Uncertain Data Using Quadratic Penalty-Vector Regularization2011

    • Author(s)
      Yasunori Endo, Yasushi Hasegawa, Yukihiro Hamasuna, Yuchi Kanzawa
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics 15(1)

      Pages: 76-82

    • Related Report
      2010 Final Research Report
  • [Journal Article] Semi-Supervised Fuzzy c-Means Algorithm by Revising Dissimilarity Between Data2011

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics 15(1)

      Pages: 95-101

    • Related Report
      2010 Final Research Report
  • [Journal Article] Fuzzy c-Means Clustering for Uncertain Data Using Quadratic Penalty-Vector Regularization2011

    • Author(s)
      Yasunori Endo, Yasushi Hasegawa, Yukihiro Hamasuna, Yuchi Kanzawa
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 15-1 Pages: 76-82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Semi-Supervised Fuzzy c-Means Algorithm by Revising Dissimilarity Between Data2011

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics

      Volume: 15-1 Pages: 95-101

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Indefinite Kernel Fuzzy c-Means Clustering Algorithms2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Lecture Notes in Artificial Intelligence

      Volume: 6408 Pages: 126-128

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzy Classification Function of Fuzzy c-Means Algorithms for Data with Tolerance2009

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      知能と情報 21(4)

      Pages: 438-451

    • NAID

      10025994780

    • Related Report
      2010 Final Research Report
  • [Journal Article] Fuzzy Classification Function of Fuzzy c-Means Algorithms for Data with Tolerance2009

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      知能と情報 21-4

      Pages: 438-451

    • NAID

      10025994780

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzy c-Means Algorithms for Data with Tolerance Using Kernel Functions2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      IEICE Trans.Fundamentals E91-A(9)

      Pages: 2520-2534

    • NAID

      10026851853

    • Related Report
      2010 Final Research Report
  • [Journal Article] Fuzzy Classification Function of Standard Fuzzy c-Means Algorithms for Data with Tolerance Using Kernel Function2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Springer Lecture Notes in Artificial Intelligence, LNAI5285

      Pages: 122-133

    • Related Report
      2010 Final Research Report
  • [Journal Article] Fuzzy c-Means Algorithms for Data with Tolerance Using Kernel Functions2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      IEICE Trans. Fundamentals E91-A, No. 9

      Pages: 2520-2534

    • NAID

      10026851853

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fuzzy Classification Function of standard Fuzzy c-Means Algorithms for Data with To Tolerance Using Kernel Function2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Springer Lecture Notes in Artificial Intelligence LNAI5285

      Pages: 122-133

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Indefinite Kernel Fuzzy c-Means Clustering Algorithms

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Journal Title

      Lecture Notes in Artificial Intelligence, LNAI6408

      Pages: 126-138

    • Related Report
      2010 Final Research Report
  • [Presentation] Two Semi-supervised Entropy Regularized Fuzzy c-Means2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      Joint 5th Internationsl Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems
    • Place of Presentation
      岡山(日本)
    • Year and Date
      2010-12-09
    • Related Report
      2010 Final Research Report
  • [Presentation] Geodesic-Dissimilarity-based Hard and Fuzzy c-Means2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      Joint 5th Internationsl Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems
    • Place of Presentation
      岡山(日本)
    • Year and Date
      2010-12-09
    • Related Report
      2010 Final Research Report
  • [Presentation] Two Semi-supervised Entropy Regularized Fuzzy c-Means2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      SCIS&ISIS 2010
    • Place of Presentation
      岡山(日本)
    • Year and Date
      2010-12-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Geodesic-Dissimilarity-based Hard and Fuzzy c-Means2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      SCIS&ISIS 2010
    • Place of Presentation
      岡山(日本)
    • Year and Date
      2010-12-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hard and Fuzzy c-Means Clustering Algorithms with Geodesic Dissimilarity2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2010 International Symposium on Nonlinear Theory and Its Application
    • Place of Presentation
      クラクフ(ポーランド)
    • Year and Date
      2010-09-08
    • Related Report
      2010 Final Research Report
  • [Presentation] Hard and Fuzzy c-Means Clustering Algorithms with Geodesic Dissimilarity2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      NOLTA 2010
    • Place of Presentation
      クラクフ(ポーランド)
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] On Kernel Fuzzy c-Means for Data with Tolerance using Explicit Mapping for Kernel Data Analysis2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2010IEEE World Congress on Computational Intelligence
    • Place of Presentation
      バルセロナ(スペイン)
    • Year and Date
      2010-07-21
    • Related Report
      2010 Final Research Report
  • [Presentation] On Kernel Fuzzy c-Means for Data with Tolerance using Explicit Mapping for Kernel Data Analysis2010

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      WCCI 2010
    • Place of Presentation
      バルセロナ(スペイン)
    • Year and Date
      2010-07-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Semi-Supervised Entropy Regularized Fuzzy c-Means2009

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2009 International Symposium on Nonlinear Theory and Its Applications
    • Place of Presentation
      北海道(日本)
    • Year and Date
      2009-10-21
    • Related Report
      2010 Final Research Report
  • [Presentation] A Semi-Supervised Entropy Regularized Fuzzy c-Means2009

    • Author(s)
      神澤雄智, 遠藤靖典, 宮本定明
    • Organizer
      NOLTA2009
    • Place of Presentation
      北海道, 日本
    • Year and Date
      2009-10-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形方程式の解曲線追跡における区間演算とアフィン演算の比較2009

    • Author(s)
      新宮弘敏、神澤雄智
    • Organizer
      応用数理学会2009年度年会
    • Place of Presentation
      大阪(日本)
    • Year and Date
      2009-09-30
    • Related Report
      2010 Final Research Report
  • [Presentation] 非線形方程式の解曲線追跡における区間演算とアフィン演算の比較2009

    • Author(s)
      新宮弘敏, 神澤雄智
    • Organizer
      応用数理学会年会
    • Place of Presentation
      大阪, 日本
    • Year and Date
      2009-09-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] 非線形方程式の解曲線追跡における区間演算とアフィン演算の比較2009

    • Author(s)
      新宮弘敏、神澤雄智
    • Organizer
      電子情報通信学会回路とシステム・非線形問題研究会
    • Place of Presentation
      広島(日本)
    • Year and Date
      2009-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] 非線形方程式の解曲線追跡における区間演算とアフィン演算の比較2009

    • Author(s)
      新宮弘敏, 神澤雄智
    • Organizer
      電子通信情報学会回路とシステム研究会
    • Place of Presentation
      広島, 日本
    • Year and Date
      2009-09-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Entropy Regularized Fuzzy c-Lines for Data with Tolerance2009

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2011IEEE International Conference on Fuzzy Systems
    • Place of Presentation
      Jeju(Korea)
    • Year and Date
      2009-08-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Entropy Regularized Fuzzy c-Lines for Data with Tolerance2009

    • Author(s)
      神澤雄智, 遠藤靖典, 宮本定明
    • Organizer
      FUZZ-IEEE2009
    • Place of Presentation
      Jeju, Korea
    • Year and Date
      2009-08-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Fuzzy c-Lines for Data with Tolerance2009

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2009 International Fuzzy System Association World Congress/2009 European Sciety for Fuzzy Logic and Technology
    • Place of Presentation
      Lisbon (Portugal)
    • Year and Date
      2009-07-23
    • Related Report
      2010 Final Research Report
  • [Presentation] Fuzzy c-Lines for Data with Tolerance2009

    • Author(s)
      神澤雄智, 遠藤靖典, 宮本定明
    • Organizer
      IFSA-EUSFLAT2009
    • Place of Presentation
      Lisbon, Portugal
    • Year and Date
      2009-07-23
    • Related Report
      2009 Annual Research Report
  • [Presentation] 許容付きデータのための1次元線形ファジィクラスタリング2009

    • Author(s)
      神澤雄智、遠藤靖典、宮本定明
    • Organizer
      第25回ファジィシステムシンポジウム
    • Place of Presentation
      筑波(日本)
    • Year and Date
      2009-07-14
    • Related Report
      2010 Final Research Report
  • [Presentation] 許容付きデータのための1次元線形ファジィクラスタリング2009

    • Author(s)
      神澤雄智, 遠藤靖典, 宮本定明
    • Organizer
      ファジィシステムシンポジウム
    • Place of Presentation
      筑波, 日本
    • Year and Date
      2009-07-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] Entropy Regularized Fuzzy c-Means for Data with Tolerance introducing Penalty Term in Feature Space2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      Joint 4th Internationsl Conference on Soft Computing and Intelligent Systems and 9th International Symposium on advanced Intelligent Systems
    • Place of Presentation
      名古屋(日本)
    • Year and Date
      2008-09-17
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Fuzzy C-Means for Data with Tolerance Introducing Penalty Term in Feature Space2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2008 International Symposium on Nonlinear Theory and Its Applications
    • Place of Presentation
      ブダペスト(ハンガリー)
    • Year and Date
      2008-09-07
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Kernelized Fuzzy c-Means for Data with Tolerance based on Opposite Criterions2008

    • Author(s)
      神澤雄智、遠藤靖典、宮本定明、
    • Organizer
      第24 回ファジィシステムシンポジウム
    • Place of Presentation
      大阪(日本)
    • Year and Date
      2008-09-03
    • Related Report
      2010 Final Research Report
  • [Presentation] Kernelized Fuzzy c-Means for Data with Tolerance based on Opposite Criterions2008

    • Author(s)
      神澤雄智, 遠藤靖典, 宮本定明
    • Organizer
      第24回ファジィシステムシンポジウム
    • Place of Presentation
      大阪(日本)
    • Year and Date
      2008-09-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] Fuzzy C-Means for Data with Tolerance by Introducing Penalty Term2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2008 IEEE Conference on Soft Computing in Industrial Applications
    • Place of Presentation
      室蘭(日本)
    • Year and Date
      2008-06-27
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] Fuzzy Classification Function of Fuzzy c-Means Algorithms for Data with Tolerance2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2008 World Congress on Computational Intelligence
    • Place of Presentation
      香港(中国)
    • Year and Date
      2008-06-01
    • Related Report
      2010 Final Research Report
  • [Presentation] Fuzzy Classification Fundion of Fuzzy c-Means Algorithms for Data with Tolerance2008

    • Author(s)
      Yuchi Kanzawa, Yasunori Endo, Sadaaki Miyamoto
    • Organizer
      2008 World Congress on Computational lntelligence
    • Place of Presentation
      香港(中国)
    • Year and Date
      2008-06-01
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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