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New Developments in Sparse Factor Analysis

Research Project

Project/Area Number 26330039
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionOsaka University

Principal Investigator

Adachi Kohei  大阪大学, 人間科学研究科, 教授 (60299055)

Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords多変量解析 / 因子分析 / 主成分分析 / スパース推定 / カーディナリティ制約 / 行列分解 / スパーセスト推定 / 因子モデル選択 / EMアルゴリズム / 優関数法 / Lasso / 重回帰分析 / スパース因子分析 / 行列分解因子分析 / スパーセスト因子分析 / 斜交解 / ペナルティ・フリー / スパース主成分分析 / ペナルティーフリー / 交互最小二乗法 / 負荷行列
Outline of Final Research Achievements

Factor analysis (FA) is a statistical procedure for finding the factors that can cause the phenomena observed as data. For example, when the phenomena observed are scores of tests, their factors are abilities. Sparse FA refers to the modified FA which purposes to computationally identify the pairs of phenomena to the related factors. The existing approach for this purpose is to dissociate the phenomena from the factors with their magnitudes of the relationships to the phenomena below a threshold. A difficulty in this approach is in the necessity of selecting the threshold among infinite continuous real values. For dealing with this difficulty, a sparse FA procedure was developed whose solution can be obtained once the number of unrelated pairs of phenomena to factors. As that number can be selected among restricted discrete integers, the best solution can be chosen among the ones for all pairs.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (74 results)

All 2017 2016 2015 2014 Other

All Int'l Joint Research (5 results) Journal Article (8 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 2 results,  Open Access: 2 results) Presentation (51 results) (of which Int'l Joint Research: 15 results,  Invited: 6 results) Book (9 results) Remarks (1 results)

  • [Int'l Joint Research] Open University(United Kingdom)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Groningen(オランダ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] The Open University(United Kingdom)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Erasmus University Rotterdam/University of Groningen(オランダ)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] The Open University(United Kingdom)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Sparsest factor analysis for clustering variables: A matrix decomposition2017

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Journal Title

      Advances in Data Analysis and Classification

      Volume: Online First Issue: 3 Pages: 1-27

    • DOI

      10.1007/s11634-017-0284-z

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sparse Exploratory Factor Analysis2017

    • Author(s)
      Nickolay T. Trendafilov, Sara Fontanella & Kohei Adachi
    • Journal Title

      Psychometrika

      Volume: 82 Issue: 3 Pages: 778-794

    • DOI

      10.1007/s11336-017-9575-8

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sparse principal component analysis subject to prespecified cardinality of loadings2016

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Journal Title

      Computational Statistics

      Volume: 31 Issue: 4 Pages: 1403-1427

    • DOI

      10.1007/s00180-015-0608-4

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Fixed factor analysis with clustered factor score constraint2016

    • Author(s)
      Kohei Uno, Hironori Satomura, Kohei Adachi
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: 94 Pages: 265-274

    • DOI

      10.1016/j.csda.2015.08.010

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array2016

    • Author(s)
      Hiroki Ikemoto, Kohei Adachi
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: 98 Pages: 1-18

    • DOI

      10.1016/j.csda.2015.12.007

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sparse versus simple structure loadings2015

    • Author(s)
      Nickolay T. Trendafilov and Kohei Adachi
    • Journal Title

      Psychometrika

      Volume: 80 Issue: 3 Pages: 776-790

    • DOI

      10.1007/s11336-014-9416-y

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A New Algorithm for Generalized Least Squares Factor Analysis with a Majorization Technique2015

    • Author(s)
      Kohei Adachi
    • Journal Title

      Open Journal of Statistics

      Volume: 5 Issue: 03 Pages: 165-172

    • DOI

      10.4236/ojs.2015.53020

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 因子分析への行列集約アプローチ2015

    • Author(s)
      足立浩平
    • Journal Title

      日本統計学会誌

      Volume: 44 Pages: 363-382

    • NAID

      110009930635

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] Optimality of Singular Value Decomposition for Common Reduced Rank Approximation of Different-Sized Matrices with Subsequent Rotation2017

    • Author(s)
      足立浩平
    • Organizer
      日本計算機統計第31回大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 自己距離を制約した非対称ノンメトリック多次元展開法2017

    • Author(s)
      辻井 岳・足立浩平
    • Organizer
      日本計算機統計第31回大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] SPARK: A New Clustering Algorithm for Obtaining Sparse and Interpretable Centroids2017

    • Author(s)
      Naoto Yamashita & Kohei Adachi
    • Organizer
      The 82nd Annual Meeting of the Psychometric Society
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Matrix Results for Elucidating the Essence of Factor Analysis2017

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      The 82nd Annual Meeting of the Psychometric Society
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cross Data Biclustering for Multiple Matrices of Different Sizes and Sources2017

    • Author(s)
      Li JiYao & Kohei Adachi
    • Organizer
      The 82nd Annual Meeting of the Psychometric Society
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Layered Multivariate Regression with Its Applications2017

    • Author(s)
      Naoto Yamashita & Kohei Adachi
    • Organizer
      Conference of the International Federation of Classification Societies 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cardinality-Constrained Multiple Regression with Comparisons to Lasso Regression2017

    • Author(s)
      Kohei Adachi & Henk A. L. Kiers
    • Organizer
      Conference of the International Federation of Classification Societies 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 自己距離のスパース化を伴う非対称多次元尺度構成法 ―グループL1ノルム正則化を用いた方法―2017

    • Author(s)
      辻井 岳・足立浩平
    • Organizer
      2017年度統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Sparse Regression Without Using a Penalty Function2017

    • Author(s)
      Kohei Adachi & Henk A. L. Kiers
    • Organizer
      2017年度統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] High-dimensional EM Factor Analysis with Clustering Variables2017

    • Author(s)
      Jingyu Cai & Kohei Adachi
    • Organizer
      日本分類学会第36回大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Group-L1-Norm Based Sparse MDS for Hierarchical Clustering2017

    • Author(s)
      足立浩平
    • Organizer
      日本分類学会第36回大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Cardinality Constrained Factor Analysis Feasible for Oblique and High-Dimensional Cases2017

    • Author(s)
      Jingyu Cai & Kohei Adachi
    • Organizer
      第12回日本統計学会春季集会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Cross Data Clustering of the Rows and Columns in Different Data Matrices2017

    • Author(s)
      Li JiYao, 足立浩平
    • Organizer
      第11回日本統計学会春季集会
    • Place of Presentation
      東京都・港区
    • Related Report
      2016 Research-status Report
  • [Presentation] 因子分析の正体2017

    • Author(s)
      足立浩平
    • Organizer
      統計数理研究所共同研究「複雑多変量データの解析法に関する研究」研究会
    • Place of Presentation
      東京都・立川市
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Biclustering of objects and variables with group average parameters2016

    • Author(s)
      Li JiYao, 足立浩平
    • Organizer
      日本計算機統計学会第30回シンポジウム
    • Place of Presentation
      静岡県・沼津市
    • Year and Date
      2016-11-24
    • Related Report
      2016 Research-status Report
  • [Presentation] Sparsest factor analysis of gene expression data2016

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      2016 International Conference for JSCS 30th Anniversary in Seattle
    • Place of Presentation
      アメリカ合衆国・シアトル
    • Year and Date
      2016-10-16
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Some Matrix Results for Comprehensive Factor Analysis2016

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      石川県・金沢市
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report
  • [Presentation] 三相主成分分析法における各配列のスパース推定 ―補助関数法を用いた方法―2016

    • Author(s)
      池本大樹・Henk A.L. Kiers・足立浩平
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      石川県・金沢市
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report
  • [Presentation] Some Mathematical Notes on Comprehensive Factor Analysis2016

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      COMPSTAT2016
    • Place of Presentation
      スペイン・オビエド
    • Year and Date
      2016-08-23
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A Matrix-Intensive Formulation of Factor Analysis with Specific Factors Dissociated From Errors2016

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      The 4th Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      中国・香港
    • Year and Date
      2016-06-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Sparse Three-way PCA for Selecting the Optimal Model Between Tucker2 and Parafac2016

    • Author(s)
      Hiroki Ikemoto, Henk A. L. Kiers, & Kohei Adachi
    • Organizer
      The 4th Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      中国・香港
    • Year and Date
      2016-06-27
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Contributions of Dutch Matricians to Computational Statistics2016

    • Author(s)
      Kohei Adachi & Patrick J.F. Groenen
    • Organizer
      日本計算機統計学会第30回大会
    • Place of Presentation
      京都府・京都市
    • Year and Date
      2016-05-19
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Sparse Core Tucker Factorization with a Majorization Approach2016

    • Author(s)
      池本大樹, Henl A.L. Kiers, 足立浩平
    • Organizer
      日本計算機統計学会第30回大会
    • Place of Presentation
      京都府・京都市
    • Year and Date
      2016-05-19
    • Related Report
      2016 Research-status Report
  • [Presentation] Comprehensive Factor Analysis by a Matrix Decomposition Approach2015

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      ERCIM2015
    • Place of Presentation
      イギリス・ロンドン
    • Year and Date
      2015-12-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Some Theorems for Matrix Decomposition Factor Analysis2015

    • Author(s)
      足立浩平
    • Organizer
      日本計算機統計学会 第29回シンポジウム
    • Place of Presentation
      北海道・釧路市
    • Year and Date
      2015-11-29
    • Related Report
      2015 Research-status Report
  • [Presentation] Factor Analysis of High-Dimensional Data with Clustering Variables2015

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      The 2015 International Workshop for JSCS 30th Anniversary in Okinawa
    • Place of Presentation
      沖縄県・恩納村
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Higher rank approximation and matrix decomposition factor analysis2015

    • Author(s)
      足立浩平
    • Organizer
      2015年度統計関連学会連合大会
    • Place of Presentation
      岡山県・岡山市
    • Year and Date
      2015-09-07
    • Related Report
      2015 Research-status Report
  • [Presentation] Clustered factor score identification in matrix-factorization factor analysis2015

    • Author(s)
      Kohei Uno & Kohei Adachi
    • Organizer
      International Meeting of Psychometric Society, 2015
    • Place of Presentation
      中国・北京
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Sparse core Tucker2 for computationally identifying the optimal model between parafac and Tucker22015

    • Author(s)
      Hiroki Ikemoto & Kohei Adachi
    • Organizer
      International Meeting of Psychometric Society, 2015
    • Place of Presentation
      中国・北京
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Psychometrics in Japan2015

    • Author(s)
      Kohei Adachi
    • Organizer
      International Meeting of Psychometric Society, 2015
    • Place of Presentation
      中国・北京
    • Year and Date
      2015-07-13
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Sparse structural equation modeling for finding inter-factor causal relationships2015

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      日本計算機統計学会第29回大会
    • Place of Presentation
      山梨県・甲府市
    • Year and Date
      2015-05-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 制約付き因子得点による個体の判別2015

    • Author(s)
      宇野光平・足立浩平
    • Organizer
      日本計算機統計学会第29回大会
    • Place of Presentation
      山梨県・甲府市
    • Year and Date
      2015-05-14
    • Related Report
      2015 Research-status Report
  • [Presentation] 行列モデル因子分析における因子得点の不定性の解消と因子得点のクラスター化2015

    • Author(s)
      宇野光平・足立浩平
    • Organizer
      日本分類学会 第33回大会
    • Place of Presentation
      東京
    • Year and Date
      2015-03-11
    • Related Report
      2014 Research-status Report
  • [Presentation] 因子得点のクラスタリングを伴う母数モデルの因子分析2015

    • Author(s)
      宇野光平・足立浩平
    • Organizer
      第9回日本統計学会春季集会
    • Place of Presentation
      東京
    • Year and Date
      2015-03-08
    • Related Report
      2014 Research-status Report
  • [Presentation] 三相主成分分析の統合的理解に向けて2015

    • Author(s)
      足立浩平
    • Organizer
      北海道大学情報基盤センター 第30回大規模データ科学研究会
    • Place of Presentation
      札幌
    • Year and Date
      2015-02-27
    • Related Report
      2014 Research-status Report
  • [Presentation] Sparse SEM: Computational Identification of Inter-Factor Relations in Confirmatory Factor Analysis2014

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      CFE-ERCIM 2014
    • Place of Presentation
      Pisa
    • Year and Date
      2014-12-06 – 2014-12-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Fixed Factor Analysis with Clustering Observations2014

    • Author(s)
      Kohei Uno & Kohei adachi
    • Organizer
      CFE-ERCIM 2014
    • Place of Presentation
      Pisa
    • Year and Date
      2014-12-06 – 2014-12-08
    • Related Report
      2014 Research-status Report
  • [Presentation] Confirmatory Factor Analysis with Penalty-free Sparse Estimation2014

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      Kyoto International Conference on Modern Statistics in the 21st Century
    • Place of Presentation
      京都
    • Year and Date
      2014-11-17 – 2014-11-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Sparse Path Analysis: Computational Identification of Causality between Explanatory and Dependent Variables2014

    • Author(s)
      足立浩平
    • Organizer
      日本計算機統計学会第28回シンポジウム
    • Place of Presentation
      沖縄
    • Year and Date
      2014-11-14 – 2014-11-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 三相主成分分析の階層関係と新展開2014

    • Author(s)
      足立浩平・中村裕子・池本大樹
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京
    • Year and Date
      2014-09-14 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] 因子の不確定性を利用したクラスター化因子得点のプロクラステス同定2014

    • Author(s)
      宇野光平・足立浩平
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京
    • Year and Date
      2014-09-14 – 2014-09-16
    • Related Report
      2014 Research-status Report
  • [Presentation] ブロック行列分解による因子分析の諸性質2014

    • Author(s)
      足立浩平
    • Organizer
      日本心理学会第78回大会
    • Place of Presentation
      京都
    • Year and Date
      2014-09-10 – 2014-09-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 各配列の零要素数を制約したTucker2主成分分析2014

    • Author(s)
      池本大樹・足立浩平
    • Organizer
      日本行動計量学会第42回大会
    • Place of Presentation
      仙台
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] クラスタリングを伴う母数因子分析の交互反復解法2014

    • Author(s)
      宇野光平・足立浩平
    • Organizer
      日本行動計量学会第42回大会
    • Place of Presentation
      仙台
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] PARAFACの拡張 ― 成分リンク行列の置換を許す方法 ―2014

    • Author(s)
      山口奈津実・足立浩平
    • Organizer
      日本行動計量学会第42回大会
    • Place of Presentation
      仙台
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] Sparse exploratory factor analysis2014

    • Author(s)
      Sara Fontanella, Nicholay Trendafilov, and Kohei Adachi
    • Organizer
      21st International Conference on Computational Statistics
    • Place of Presentation
      Geneva
    • Year and Date
      2014-08-19 – 2014-08-22
    • Related Report
      2014 Research-status Report
  • [Presentation] Penalty-free sparse PCA2014

    • Author(s)
      Kohei Adachi and Nickolay Trendafilov
    • Organizer
      21st International Conference on Computational Statistics
    • Place of Presentation
      Geneva
    • Year and Date
      2014-08-19 – 2014-08-22
    • Related Report
      2014 Research-status Report
  • [Presentation] A Covariance-Based Algorithm for Matrix Factorization Factor Analysis Viewed as Higher Rank Approximation2014

    • Author(s)
      Kohei Adachi
    • Organizer
      The 3rd Institute of Mathematical Statistics Aisa Pacific Rim Meeting
    • Place of Presentation
      Taipei
    • Year and Date
      2014-06-29 – 2014-07-03
    • Related Report
      2014 Research-status Report
  • [Presentation] ScTucker3: Three-Mode Sparse Principal Component Analysis Subject to the Constrained Cardinality of a Core Matrix2014

    • Author(s)
      Hiroshi Ikemoto & Kohei Adachi
    • Organizer
      The 3rd Institute of Mathematical Statistics Aisa Pacific Rim Meeting
    • Place of Presentation
      Taipei
    • Year and Date
      2014-06-29 – 2014-07-03
    • Related Report
      2014 Research-status Report
  • [Presentation] Factor Analysis for Clustering Variables with EM Algorithm2014

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Organizer
      日本計算機統計学会第28回大会講演論文集
    • Place of Presentation
      東京
    • Year and Date
      2014-05-17 – 2014-05-18
    • Related Report
      2014 Research-status Report
  • [Presentation] 成分間のリンク数を制約した三相Tucker2分析2014

    • Author(s)
      池本大樹・足立浩平
    • Organizer
      日本計算機統計学会第28回大会
    • Place of Presentation
      東京
    • Year and Date
      2014-05-17 – 2014-05-18
    • Related Report
      2014 Research-status Report
  • [Book] 統計学Ⅲ: 多変量データ解析法 オフィシャル スタディノート2017

    • Author(s)
      岩崎 学・足立浩平・渡辺美智子・宿久 洋・芳賀麻誉美
    • Total Pages
      197
    • Publisher
      日本統計協会
    • ISBN
      9784822339463
    • Related Report
      2017 Annual Research Report
  • [Book] 最小二乗法・交互最小二乗法2017

    • Author(s)
      森 裕一・黒田 正博・足立 浩平
    • Total Pages
      120
    • Publisher
      共立出版
    • ISBN
      9784320112544
    • Related Report
      2017 Annual Research Report
  • [Book] 現代統計学2017

    • Author(s)
      足立浩平
    • Total Pages
      61
    • Publisher
      日本評論社
    • Related Report
      2016 Research-status Report
  • [Book] Matrix-Based Introduction to Multivariate Data Analysis2016

    • Author(s)
      Kohei Adachi
    • Total Pages
      301
    • Publisher
      Springer
    • Related Report
      2016 Research-status Report
  • [Book] Applied Matrix and Tensor Variate Data Analysis (Toshio Sakata (Ed.))2016

    • Author(s)
      Kohei Adachi
    • Total Pages
      22
    • Publisher
      Springer
    • Related Report
      2015 Research-status Report
  • [Book] 数学セミナー54巻6号2015

    • Author(s)
      足立浩平
    • Total Pages
      7
    • Publisher
      日本評論社
    • Related Report
      2015 Research-status Report
  • [Book] 数学セミナー54巻7号2015

    • Author(s)
      足立浩平
    • Total Pages
      7
    • Publisher
      日本評論社
    • Related Report
      2015 Research-status Report
  • [Book] 数学セミナー54巻8号2015

    • Author(s)
      足立浩平
    • Total Pages
      7
    • Publisher
      日本評論社
    • Related Report
      2015 Research-status Report
  • [Book] Advances in latent variables2014

    • Author(s)
      Kohei Adachi & Nickolay T. Trendafilov
    • Total Pages
      12
    • Publisher
      Springer
    • Related Report
      2014 Research-status Report
  • [Remarks] 行動統計科学研究分野

    • URL

      http://bstat.jp/

    • Related Report
      2016 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2022-08-19  

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