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Multivariate functional data analysis for temporally and spatially dependent data and its application to life science

Research Project

Project/Area Number 26730016
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionKyoto University

Principal Investigator

Yamamoto Michio  京都大学, 医学研究科, 講師 (50721396)

Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsクラスタリング / 関数データ / 次元縮小 / 関数データ解析 / 次元縮約
Outline of Final Research Achievements

Due to the recent advances in data collection and storage, data sets for statistical analysis have become complex and enormous. In the analysis of repeated measures data, for example, the data are often considered as a certain function, and such an analysis is called functional data analysis. In this study, I developed a new clustering method that conducted clustering and dimension reduction of multivariate functional objects simultaneously. Related to the method, I developed another clustering method with dimension reduction for multivariate binary data. In addition, I developed a new clustering method that identified a cluster structure of outcome variables and predicted cluster memberships of future individuals based on explanatory variables.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (31 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (7 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 7 results,  Acknowledgement Compliant: 3 results) Presentation (20 results) (of which Int'l Joint Research: 6 results,  Invited: 9 results) Remarks (2 results)

  • [Int'l Joint Research] McGill University(Canada)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] McGill University(Canada)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Graphical tool of sparse factor analysis2017

    • Author(s)
      Yamamoto, M., Hirose, K., Nagata, H.
    • Journal Title

      Behaviormetrika

      Volume: 44 Issue: 1 Pages: 229-250

    • DOI

      10.1007/s41237-016-0007-3

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A unified approach to functional principal component analysis and functional multiple-set canonical correlation2016

    • Author(s)
      Choi, J.Y., Hwang, H., Yamamoto, M., Jung, K., Woodward, T.S.
    • Journal Title

      Psychometrika

      Volume: 不明 Issue: 2 Pages: 427-441

    • DOI

      10.1007/s11336-015-9478-5

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dimension-reduced clustering of functional data via subspace separation2016

    • Author(s)
      Yamamoto, M., Hwang, H.
    • Journal Title

      Journal of Classification

      Volume: 不明

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Clustering of multivariate binary data with dimension reduction via L1-regularized likelihood maximization2015

    • Author(s)
      Michio Yamamoto, Kenichi Hayashi
    • Journal Title

      Pattern Recognition

      Volume: 48 Issue: 12 Pages: 3959-3968

    • DOI

      10.1016/j.patcog.2015.05.026

    • NAID

      120005690145

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sparse estimation via nonconcave penalized likelihood in a factor analysis model2015

    • Author(s)
      Hirose Kei, Michio Yamamoto
    • Journal Title

      Statistics and Computing

      Volume: 不明 Issue: 5 Pages: 863-875

    • DOI

      10.1007/s11222-014-9458-0

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Functional factorial K-means analysis2014

    • Author(s)
      Michio Yamamoto, Yoshikazu Terada
    • Journal Title

      Computational Statistics & Data Analysis

      Volume: 79 Pages: 133-148

    • DOI

      10.1016/j.csda.2014.05.010

    • NAID

      120005456040

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Estimation of an oblique structure via penalized likelihood factor analysis2014

    • Author(s)
      Hirose, K. and Yamamoto, M.
    • Journal Title

      Computational Statistics & Data Analysis

      Volume: 79 Pages: 120-132

    • DOI

      10.1016/j.csda.2014.05.011

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] 多変量関数データに対する正準相関分析および等質性分析について2017

    • Author(s)
      山本倫生, 寺田吉壱
    • Organizer
      第37回大規模データ科学に関する研究会
    • Place of Presentation
      北海道大学情報基盤センター
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dimension-reduced clustering of functional data via variance-penalized optimization2016

    • Author(s)
      Yamamoto, M.
    • Organizer
      9th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2016)
    • Place of Presentation
      University of Seville, Seville, Spain
    • Year and Date
      2016-12-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 医療ビッグデータの活用における統計家の役割2016

    • Author(s)
      山本倫生
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学 角間キャンパス
    • Year and Date
      2016-09-04
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 低次元成分モデルに基づく予測的クラスタリング2016

    • Author(s)
      山本倫生,川口淳
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学 角間キャンパス
    • Year and Date
      2016-09-04
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] なぜタンデムクラスター化を行ってはいけないのか?2016

    • Author(s)
      山本倫生
    • Organizer
      日本行動計量学会第44回大会
    • Place of Presentation
      札幌学院大学
    • Year and Date
      2016-08-30
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Predictive clustering using a component-based approach2016

    • Author(s)
      Yamamoto, M., Kawaguchi, A., Hwang, H.
    • Organizer
      The 22nd International Conference on Computational Statistics (COMPSTAT 2016)
    • Place of Presentation
      Auditorium/Congress Palace Principe Felipe, Oviedo, Spain
    • Year and Date
      2016-08-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Canonical correlation analysis for multivariate functional data2015

    • Author(s)
      Yamamoto, M., Terada, Y.
    • Organizer
      8th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics)
    • Place of Presentation
      Senate House, University of London
    • Year and Date
      2015-12-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Outcome-guided clustering using supervised dimension reduction approach2015

    • Author(s)
      Yamamoto, M., Kawaguchi, A., Hwang, H.
    • Organizer
      2015 International Workshop for JSCS 30th Anniversary
    • Place of Presentation
      沖縄科学技術大学院大学OIST
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] An extension of factor rotation via the penalized maximum likelihood estimation2015

    • Author(s)
      Hirose, K., Yamamoto, M.
    • Organizer
      2015年度統計関連学会連合大会
    • Place of Presentation
      岡山大学 津島キャンパス
    • Year and Date
      2015-09-06
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 次元縮約とクラスタリングの同時分析法とその問題点2015

    • Author(s)
      山本倫生
    • Organizer
      日本行動計量学会第43回大会
    • Place of Presentation
      首都大学東京 南大沢キャンパス
    • Year and Date
      2015-09-01
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A component-based approach to find outcome-related clusters2015

    • Author(s)
      Yamamoto, M., Kawaguchi, A.
    • Organizer
      The 80th Annual meeting of the Psychometric Society (IMPS 2015)
    • Place of Presentation
      Beijing Normal University, Beijing
    • Year and Date
      2015-07-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] A simultaneous analysis of dimension reduction and clustering with correlated error variables2015

    • Author(s)
      Yamamoto, M.
    • Organizer
      The 2015 conference of the International Federation of Classification Societies (IFCS 2015)
    • Place of Presentation
      Bologna, Italy
    • Year and Date
      2015-07-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 因子間相関を仮定した因子分析モデルの正則化スパース推定2014

    • Author(s)
      廣瀬慧, 山本倫生
    • Organizer
      日本計算機統計学会第28回シンポジウム
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2014-11-14 – 2014-11-15
    • Related Report
      2014 Research-status Report
  • [Presentation] Extension of rotation technique via penalization in factor analysis model2014

    • Author(s)
      Kei Hirose, Michio Yamamoto
    • Organizer
      International Conference of Advances in Interdisciplinary Statistics and Combinatorics (AISC) 2014
    • Place of Presentation
      Elliot University Center, Greensboro
    • Year and Date
      2014-10-10 – 2014-10-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 一般化関数正準相関分析とその性質について2014

    • Author(s)
      山本倫生
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] 正則化スパース因子分析は因子回転に取って代わるか?2014

    • Author(s)
      廣瀬慧, 山本倫生
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京大学本郷キャンパス
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] 多変量カテゴリカルデータに対する低次元空間上でのクラスター構造の探索2014

    • Author(s)
      山本倫生, 林賢一
    • Organizer
      日本行動計量学会第42回大会
    • Place of Presentation
      東北大学川内北キャンパス
    • Year and Date
      2014-09-02 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Functional multiple-set canonical correlation analysis for square integrable stochastic processes2014

    • Author(s)
      Michio Yamamoto
    • Organizer
      The 21st International Conference on Computational Statistics (COMPSTAT 2014)
    • Place of Presentation
      the International Conference Centre, Geneva
    • Year and Date
      2014-08-19 – 2014-08-22
    • Related Report
      2014 Research-status Report
  • [Presentation] Simultaneous analysis of clustering and dimension reduction for binary variables with application to biomedical data2014

    • Author(s)
      Michio Yamamoto, Kenichi Hayashi
    • Organizer
      The 27th International Biometric Conference
    • Place of Presentation
      Firenze Fiera Congress and Exhibition Center, Florence
    • Year and Date
      2014-07-06 – 2014-07-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Lasso-type penalized maximum likelihood factor analysis via nonconvex penalties2014

    • Author(s)
      Kei Hirose, Michio Yamamoto
    • Organizer
      The 3rd Institute of Mathematical Statistics Asia Pacific Rim Meeting (IMS-APRM 2014)
    • Place of Presentation
      Howard International House, Taipei
    • Year and Date
      2014-06-29 – 2014-07-03
    • Related Report
      2014 Research-status Report
  • [Remarks] 研究代表者のウェブサイト

    • URL

      http://michioyamamoto.com/

    • Related Report
      2016 Annual Research Report
  • [Remarks] 研究代表者のウェブサイト

    • URL

      http://michioyamamoto.com/wp/

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2018-03-22  

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