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Statistical theory of unsupervised learning with a focus on clustering methods

Research Project

Project/Area Number 26880031
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionNational Institute of Information and Communications Technology

Principal Investigator

Terada Yoshikazu  国立研究開発法人情報通信研究機構, 脳情報通信融合研究センター 脳情報通信融合研究室, 研究員 (10738793)

Project Period (FY) 2014-08-29 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords関数データ解析 / 高次元データ解析 / fMRIデータ解析 / クラスタリング / 関数データ / fMRIデータ / クラスタリング法 / 高次元データ
Outline of Final Research Achievements

In this research, I studied unsupervised classification and binary classification from only positive and unlabeled functional data (PU classification for functional data). Some important properties of the functional data clustering method proposed by Chiou and Li (2007) were derived, and a simple classification algorithm for functional PU learning problem was developed. Moreover, I proved that the distance vector clustering works well under several important high-dimension low-sample size settings. In addition, the simple voxelwise statistical inference for the underlying hemodynamic response function based on the difference-based estimator was developed. Under mild regularity conditions, it was shown that the proposed test statistics based on the difference-based HRF estimator follow chi-squared distributions under null hypotheses for several important hypotheses.

Report

(3 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Annual Research Report
  • Research Products

    (12 results)

All 2016 2015 2014 Other

All Int'l Joint Research (1 results) Journal Article (1 results) (of which Int'l Joint Research: 1 results) Presentation (8 results) (of which Int'l Joint Research: 2 results,  Invited: 4 results) Remarks (2 results)

  • [Int'l Joint Research] Erasmus University Rotterdam(Netherlands)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Symbolic Multidimensional Scaling2015

    • Author(s)
      Patrik .J.F. Groenen and Yoshikazu Terada
    • Journal Title

      Econometric Institute Research Papers

      Volume: EI 2015-15 Pages: 1-22

    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Brain activity detection based on the difference-based HRF estimator2016

    • Author(s)
      Yoshikazu Terada
    • Organizer
      The Third CiNet Conference: Neural mechanisms of decision making: Achievements and new directions
    • Place of Presentation
      CiNet, Osaka, Japan
    • Year and Date
      2016-02-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] fMRIデータに対する血流動態反応関数のセミパラメトリック推測とその応用2016

    • Author(s)
      寺田 吉壱
    • Organizer
      データ科学シンポジウム2015(科研費)『欠測データ解析とモデル選択:生体情報データの統計モデル』
    • Place of Presentation
      大阪大学(大阪府,豊中市)
    • Year and Date
      2016-01-22
    • Related Report
      2015 Annual Research Report
  • [Presentation] fMRIデータに対するシンプルで強い仮定を必要としない脳活動領域の特定法2015

    • Author(s)
      寺田 吉壱
    • Organizer
      第 18 回情報論的学習理論ワークショップ (IBIS2015)
    • Place of Presentation
      つくば国際会議場(茨城県,つくば市)
    • Year and Date
      2015-11-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] Asymptotic Properties of Difference-Based Estimation of Hemodynamic Response Function2015

    • Author(s)
      寺田 吉壱
    • Organizer
      2015年度統計関連学会連合大会
    • Place of Presentation
      岡山大学(岡山県,岡山市)
    • Year and Date
      2015-09-08
    • Related Report
      2015 Annual Research Report
  • [Presentation] On the difference-based estimator of Hemodynamic Response Function (HRF)2015

    • Author(s)
      Yoshikazu Terada
    • Organizer
      IASC Satellite Conference 2015: Statistical Computing for Data Science
    • Place of Presentation
      Atlantico Buzios Convention & Resort, Buzios, RJ (Brazil)
    • Year and Date
      2015-08-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非重み付グラフに対するgraph embeddingとその理論的性質2015

    • Author(s)
      寺田吉壱, Ulrike von Luxburg
    • Organizer
      研究集会『大規模統計モデリングと計算統計』
    • Place of Presentation
      東京大学 (東京都,目黒区駒場)
    • Year and Date
      2015-02-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Unweighted graphに対する機械学習の限界と可能性 ~ Random geometric graphの観点から ~2014

    • Author(s)
      寺田吉壱, Ulrike von Luxburg
    • Organizer
      第17回情報論的学習理論ワークショップ(IBIS 2104)
    • Place of Presentation
      名古屋大学(愛知県,名古屋市)
    • Year and Date
      2014-11-17
    • Related Report
      2014 Annual Research Report
  • [Presentation] Local Ordinal Embedding2014

    • Author(s)
      寺田吉壱, Ulrike von Luxburg
    • Organizer
      統計数学セミナー
    • Place of Presentation
      大阪大学 (大阪府,豊中市)
    • Year and Date
      2014-11-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Remarks] Symbolic Multidimensional Scaling

    • URL

      http://repub.eur.nl/pub/78189

    • Related Report
      2015 Annual Research Report
  • [Remarks] R package smds: Symbolic Multidimensional Scaling

    • URL

      https://cran.r-project.org/web/packages/smds/index.html

    • Related Report
      2015 Annual Research Report

URL: 

Published: 2014-09-09   Modified: 2017-05-10  

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