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2008 Fiscal Year Final Research Report

Nonlinear multivariate analysis based on high-dimensional data and its application

Research Project

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Project/Area Number 17300089
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionKyushu University

Principal Investigator

KONISHI Sadanori  Kyushu University, 大学院・数理学研究院, 教授 (40090550)

Co-Investigator(Kenkyū-buntansha) NISHII Ryuei  九州大学, 大学院・数理学研究院, 教授 (40127684)
MAESONO Yoshihiko  九州大学, 大学院・数理学研究院, 教授 (30173701)
HYAKUTAKE Hiroto  九州大学, 大学院・数理学研究院, 准教授 (70181120)
NINOMIYA Yoshiyuki  九州大学, 大学院・数理学研究院, 准教授 (50343330)
MASUDA Hiroki  九州大学, 大学院・数理学研究院, 助教 (10380669)
Co-Investigator(Renkei-kenkyūsha) UCHIDA Masayuki  大阪大学, 大学院・基礎工学研究科, 准教授 (70280526)
Project Period (FY) 2005 – 2008
Keywords非線形モデリング / 関数データ解析 / 機械学習 / ベイズ理論 / カーネル法 / 計算統計 / 確率過程 / 共分散構造分析
Research Abstract

高次元データに基づく複雑現象解明を目的として, 非線形多変量解析の理論・方法論の開発研究と応用研究に取り組み, 現象の構造を有効に捉える非線形回帰モデリング, ロジスティックモデルに基づく非線形識別・判別法, リスクを定量的に評価・予測するリスク予測モデルを提唱した. また, 観測・測定されたデータを関数化処理し, 処理した関数化データ集合に基づく解析手法について研究し, 回帰, 識別・判別, 次元圧縮に関して, 関数データ解析手法を提唱することができた. 開発した解析手法は, 生命科学, システム工学, 地球環境科学などの問題解決に応用した.

  • Research Products

    (44 results)

All 2008 2007 2006 2005 Other

All Journal Article (26 results) (of which Peer Reviewed: 26 results) Presentation (14 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Constructing second-order accurate confidence intervals for communalities in factor analysis2008

    • Author(s)
      Ichikawa, M. and Konishi, S.
    • Journal Title

      British Journal of Mathematical and Statistical Psychology 61

      Pages: 361-378

    • Peer Reviewed
  • [Journal Article] Functional regression modeling via regularized Gaussian basis expansions2008

    • Author(s)
      Araki, Y., Konishi, S., Kawano, S. and Matsui, H.
    • Journal Title

      Annals of the Institute of Statistical Mathematic (Springer Online版)

      Pages: DOI(10.1007/s10463-007-0161-1)

    • Peer Reviewed
  • [Journal Article] Nonlinear regression modeling via regularized radial basis function networks2008

    • Author(s)
      Ando, T., Konishi, S. and Imoto, S.
    • Journal Title

      Journal of Statistical Planning and Inference 138

      Pages: 3616-3633

    • Peer Reviewed
  • [Journal Article] Edgeworth Expansion and Normalizing Transformation of Ratio Statistics and their Application2008

    • Author(s)
      Maesono Y.
    • Journal Title

      Communications in Statistics-Theory and Methods (掲載決定)

    • Peer Reviewed
  • [Journal Article] Statistical method for detecting structural change in the growth process2008

    • Author(s)
      Ninomiya, Y. and Yoshimoto, A.
    • Journal Title

      Biometrics 64

    • Peer Reviewed
  • [Journal Article] Notes on estimating inverse-Gaussian and gamma subordinators under high-frequency sampling2008

    • Author(s)
      Masuda, H.
    • Journal Title

      Annals of the Institute of Statistical Mathematics (掲載決定)

    • Peer Reviewed
  • [Journal Article] On stability of diffusions with compound-Poisson jumps2008

    • Author(s)
      Masuda, H.
    • Journal Title

      Bulletin of Informatics and Cybernetics 40

      Pages: 61-74

    • Peer Reviewed
  • [Journal Article] Nonlinear regression modeling via regularized Gaussian basis functions2007

    • Author(s)
      Kawano, S. and Konishi, S.
    • Journal Title

      Bulletin of Informatics and Cybernetics 39

      Pages: 83-96

    • Peer Reviewed
  • [Journal Article] Hyperspectral image classification by Bootstrap AdaBoost with random decision stumps2007

    • Author(s)
      Kawaguchi, S. and R. Nishii
    • Journal Title

      IEEE Transactions on Geoscience and Remote Sensing 45(11)

      Pages: 3845-3851

    • Peer Reviewed
  • [Journal Article] An Edgeworth expansion and a normalizing transformation for L-statistics2007

    • Author(s)
      Maesono, Y.
    • Journal Title

      Bulletin of Informatics and Cybernetics 39

      Pages: 25-43

    • Peer Reviewed
  • [Journal Article] 非正則な統計モデルに基づく林分成長分析2007

    • Author(s)
      二宮嘉行・柳原宏和・吉本敦
    • Journal Title

      森林資源管理と数理モデル 6

      Pages: 43-56

    • Peer Reviewed
  • [Journal Article] Nonlinear regression modeling via regularized wavelets and smoothing parameter selection2006

    • Author(s)
      Fujii, T. and Konishi, S.
    • Journal Title

      Journal of Multivariate Analysis 97

      Pages: 2023-2033

    • Peer Reviewed
  • [Journal Article] 正則化基底展開法に基づく関数主成分分析とその応用2006

    • Author(s)
      茅野光範・小西貞則・平川英樹・久原哲
    • Journal Title

      応用統計学 35(1)

      Pages: 1-16

    • Peer Reviewed
  • [Journal Article] Image classification based on Markov random field models with Jeffreys divergence2006

    • Author(s)
      Nishii, R. and Eguchi, S.
    • Journal Title

      Journal of Multivariate Analysis 97(9)

      Pages: 1997-2008

    • Peer Reviewed
  • [Journal Article] ミクセルを考慮したマルコフ確率場に基づくリモートセンシング画像の教師なし土地被覆分類2006

    • Author(s)
      川口修治, 山崎謙介, 西井龍映
    • Journal Title

      日本リモートセンシング学会誌 26(2)

      Pages: 107-116

    • Peer Reviewed
  • [Journal Article] 統計的学習理論による多重分光画像の画素判別2006

    • Author(s)
      西井龍映, 江口真透
    • Journal Title

      計算機統計学 19(2)

      Pages: 151-164

    • Peer Reviewed
  • [Journal Article] Nonlinear regression modeling using regularized local likelihood method2005

    • Author(s)
      Nonaka, Y. and Konishi, S.
    • Journal Title

      Annals of the Institute of Statistical Mathematics 57

      Pages: 617-635

    • Peer Reviewed
  • [Journal Article] ウェーブレットによる関数データ判別2005

    • Author(s)
      藤井亨・小西貞則
    • Journal Title

      応用統計学 34-3

      Pages: 151-169

    • Peer Reviewed
  • [Journal Article] Supervised image classification by contextual AdaBoost based on posteriors in neighborhoods2005

    • Author(s)
      Nishii, R. and S. Eguchi
    • Journal Title

      IEEE Transactions on Geoscience and Remote Sensing 43(11)

      Pages: 2547-2554

    • Peer Reviewed
  • [Journal Article] Higher Order Comparisons of Asymptotic Confidence Intervals2005

    • Author(s)
      Maesono, Y.
    • Journal Title

      Journal of Statistical Planning and Inference 133

      Pages: 359-379

    • Peer Reviewed
  • [Journal Article] Asymptotic representations of ratio statistics and their mean squared errors2005

    • Author(s)
      Maesono, Y.
    • Journal Title

      Journal of the Japan Statistical Society 35

      Pages: 73-97

    • Peer Reviewed
  • [Journal Article] Information criterion for Gaussian change-point model2005

    • Author(s)
      Ninomiya, Y.
    • Journal Title

      Statistics and Probability Letters 72

      Pages: 237-247

    • Peer Reviewed
  • [Journal Article] 多変量線形モデルによる林分成長要因探索のための変数選択2005

    • Author(s)
      柳原宏和・吉本敦・二宮嘉行
    • Journal Title

      日本森林学会誌 87

      Pages: 504-512

    • Peer Reviewed
  • [Journal Article] Classical method of moments for partially and discretely observed ergodic models2005

    • Author(s)
      Masuda, H.
    • Journal Title

      Stat. Inference Stoch. Process 8

      Pages: 25-50

    • Peer Reviewed
  • [Journal Article] Asymptotic expansion for Barndorff-Nielsen and Shephard's stochastic volatility model2005

    • Author(s)
      Masuda, H. and Yoshida, N.
    • Journal Title

      Stochastic Processes Appl. 115

      Pages: 1167-1186

    • Peer Reviewed
  • [Journal Article] Simple estimators for parametric Markovian trend of ergodic processes based on sampled data2005

    • Author(s)
      Masuda, H.
    • Journal Title

      J. Japan Statist. Soc. 35

      Pages: 147-170

    • Peer Reviewed
  • [Presentation] Lassoタイプの正則化法に基づく非線形回帰モデリング2008

    • Author(s)
      立石正平, 松井秀俊, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応大学
    • Year and Date
      20080900
  • [Presentation] 正則化法に基づく半教師あり識別・判別問題2008

    • Author(s)
      川野秀一, 三角俊裕, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応大学
    • Year and Date
      20080900
  • [Presentation] 確率的カーネル主成分分析とその応用2008

    • Author(s)
      廣瀬慧, 芹川義和, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応大学
    • Year and Date
      20080900
  • [Presentation] Recent Development in Nonlinear Statistical Modeling and Model Selection2008

    • Author(s)
      Konishi, S.
    • Organizer
      International Indian Statistical Association Conference
    • Place of Presentation
      Connecticut
    • Year and Date
      20080500
  • [Presentation] Recent development in statistical modeling and model selection2007

    • Author(s)
      Konishi, S.
    • Organizer
      The 21st Century COE program Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      Fukuoka
    • Year and Date
      20071000
  • [Presentation] 正則化法に基づく関数回帰モデルの推定とその評価2007

    • Author(s)
      松井秀俊, 荒木貴光, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      20070900
  • [Presentation] 不均一関数データに基づく正則化主成分分析とその応用2007

    • Author(s)
      茅野光範, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      20070900
  • [Presentation] 半教師あり学習法に基づく非線形判別2007

    • Author(s)
      川野秀一, 三角俊裕, 小西貞則
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      20070900
  • [Presentation] ベイジアン因子分析モデルと因子数の選択2007

    • Author(s)
      廣瀬慧, 川野秀一, 小西貞則. 市川雅教
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      20070900
  • [Presentation] Regularized functional regression modeling for functional response and predictors2007

    • Author(s)
      Matsui, H., Kawano, S., Kayano, M. and Konishi, S.
    • Organizer
      International Statistical Insititute
    • Place of Presentation
      Lisboa, Portugal
    • Year and Date
      20070800
  • [Presentation] Principal component analysis for sparse functional data via regularized basis expansions2007

    • Author(s)
      Kayano, M. and Konishi, S.
    • Organizer
      International Statistical Insititute
    • Place of Presentation
      Lisboa, Portugal
    • Year and Date
      20070800
  • [Presentation] Nonlinear statistical modeling and its application to the functional data analysis2006

    • Author(s)
      Konishi, S.
    • Organizer
      Taipei International Statistics Workshop
    • Year and Date
      20061200
  • [Presentation] Functional supervised and unsupervised classification of gene expression data2006

    • Author(s)
      Araki, Y. and Konishi, S.
    • Organizer
      COMPSTAT 2006, 17th Symposium of IASC-ERS
    • Place of Presentation
      Italy
    • Year and Date
      20060800
  • [Presentation] Functional principal component analysis via regularized basis expansions and its application to protein structural data2006

    • Author(s)
      Kayano, M. and Konishi, S.
    • Organizer
      23rd International Biometric Conference
    • Place of Presentation
      Montreal, Canada
    • Year and Date
      20060700
  • [Book] Information Criteria and Statistical Modeling(New York)2008

    • Author(s)
      Konishi, S. and Kitagawa, G.
    • Total Pages
      273
    • Publisher
      Springer
  • [Book] 計算統計学の方法-ブートストラップ, EMアルゴリズム, MCMC-2008

    • Author(s)
      小西貞則・越智義道・大森裕浩
    • Total Pages
      223
    • Publisher
      朝倉書店
  • [Book] 統計的モデリング/情報理論と学習理論2008

    • Author(s)
      小西貞則・竹内純一
    • Total Pages
      120
    • Publisher
      講談社
  • [Remarks]

    • URL

      http://hyoka.ofc.kyushu-u.ac.jp/search/details/K000534/index.html

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Published: 2010-06-10   Modified: 2012-09-24  

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