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Inference via functional theory and L1 regularization modeling

Research Project

Project/Area Number 25610035
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionChuo University

Principal Investigator

Konishi Sadanori  中央大学, 理工学部, 教授 (40090550)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywordsスパースモデリング / ベイズモデリング / 非線形モデリング / 混合効果モデリング / モデル評価基準 / 汎関数理論 / 関数混合効果モデリング / L1 ノルム正則化法 / 次元圧縮 / 高次モデル評価基準 / カーネル識別・判別法
Outline of Final Research Achievements

In various fields of science and industry a huge amount of data with complex structure and/or high-dimensional data have been accumulating. The effective use of these data sets requires new modeling strategies in order to perform extraction of useful information and knowledge discovery. Through this research we have investigated the problem of analyzing such datasets, and proposed various statistical modeling strategies: (1) Various regularization methods with L1 norm penalty have been proposed for effective regression modeling from a Bayesian point of view. (2) For analyzing data with complicated structure or substantial longitudinal heterogeneity between subjects, we introduced a varying coefficient modeling and a nonlinear functional mixed modeling through the nonlinear regression approach. (3) We developed a general framework for constructing model selection criteria in the context of functional statistics.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (16 results)

All 2016 2015 2014 2013 2011 Other

All Journal Article (6 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 6 results,  Open Access: 4 results,  Acknowledgement Compliant: 4 results) Presentation (8 results) Book (2 results)

  • [Journal Article] Mixed effects historical varying coefficient model for evaluating dose-response in flexible-dose trials2016

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

      Journal of the Royal Statistical Society: Series C

      Volume: 65 Pages: 331-344

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Principal component selection via adaptive regularization method and generalized information criterion2015

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

      Statistical Papers

      Volume: 56 Issue: 1 Pages: 1-14

    • DOI

      10.1007/s00362-015-0691-1

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] モデル平均化法によるBayesian lasso 回帰モデリング2015

    • Author(s)
      嶋村海人・川野秀一・小西貞則
    • Journal Title

      応用統計学

      Volume: 44 Pages: 101-117

    • NAID

      130005160398

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Robust sparse regression modeling and tuning parameter selection via the efficient bootstrap information criteria2014

    • Author(s)
      Park, H., Sakaori, F. and Konishi, S.
    • Journal Title

      Journal of Statistical Computation and Simulation

      Volume: 84 Issue: 7 Pages: 1596-1607

    • DOI

      10.1080/00949655.2012.755532

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Tuning parameter selection in sparse regression modeling2013

    • Author(s)
      Hirose, K., Tateishi, S. and Konishi, S.
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: 59 Pages: 28-40

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Estimation of the Variance for the Maximum Likelihood Estimates in Normal Mixture Models and Normal Hidden Markov Models2011

    • Author(s)
      Masanari Iida and Naoto Niki
    • Journal Title

      Journal of the Japanese Society of Computational Statistics

      Volume: 24 Issue: 1 Pages: 39-66

    • DOI

      10.5183

    • NAID

      10030497169

    • ISSN
      0915-2350, 1881-1337
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] 一般化スパース主成分分析による部分空間法と画像解析への応用2015

    • Author(s)
      西塚真太郎・嶋村海人・小西貞則
    • Organizer
      第20回 情報・統計科学シンポジウム
    • Place of Presentation
      九州大学
    • Year and Date
      2015-12-04
    • Related Report
      2015 Annual Research Report
  • [Presentation] Bayesian generalized fused lasso modeling via NEG distribution2015

    • Author(s)
      嶋村海人,植木優夫,小西貞則
    • Organizer
      2015年度統計関連学会連合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-09-06
    • Related Report
      2015 Annual Research Report
  • [Presentation] NEG事前分布によるベイズスパース回帰モデリング2015

    • Author(s)
      嶋村海人,植木優夫,小西貞則
    • Organizer
      第9回日本統計学会春季集会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-08
    • Related Report
      2014 Research-status Report
  • [Presentation] モデル平均化法による Bayesian lasso 回帰モデリング2014

    • Author(s)
      嶋村海人, 川野秀一, 小西貞則
    • 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] 潜在変数を含む統計モデルにおけるブートストラップ分散減少法2014

    • Author(s)
      中村永友,土屋高宏,小西貞則
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京大学
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Mixed effects historical varying coefficient model for evaluating dose response in flexible dose trials2013

    • Author(s)
      Toshihiro Misumi and Sadanori Konishi
    • Organizer
      2013 Joint Statistical Meeting
    • Place of Presentation
      Montreal, Quebec, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] Model selection for Cox model via sparse regularization2013

    • Author(s)
      土居正明, 小西貞則
    • Organizer
      2013年度統計関連学会連合大会
    • Place of Presentation
      大阪大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Tuning parameter selection in elastic net regularization via the generalized Bayesian information criterion

    • Author(s)
      保科 架風,小西 貞則
    • Organizer
      第8回日本統計学会春季集会
    • Place of Presentation
      同志社大学
    • Related Report
      2013 Research-status Report
  • [Book] Introduction to Multivariate Analysis: Linear and Nonlinear Modeling2014

    • Author(s)
      Sadanori Konishi
    • Total Pages
      312
    • Publisher
      Chapman & Hall/CRC, New York
    • Related Report
      2014 Research-status Report
  • [Book] Introduction to Multivariate Analysis: Linear and Nonlinear Modeling.2014

    • Author(s)
      Sadanori Konishi
    • Total Pages
      334
    • Publisher
      CRC Chapman & Hall, New York
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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