On dimension reduction models for functional data

被引:29
|
作者
Vieu, Philippe [1 ]
机构
[1] Univ Paul Sabatier, UMR5219, Inst Math Toulouse, F-31062 Toulouse 9, France
关键词
Functional data; Dimension reduction; Semi-parametrics; Sparse regression; VARIABLE SELECTION; LINEAR-REGRESSION; GAUSSIAN-PROCESSES; SINGLE; CLASSIFICATION; ESTIMATORS;
D O I
10.1016/j.spl.2018.02.032
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This contribution is part of the recent links between Functional Data and Big Data communities. A selected survey highlights how earlier ideas in high dimensional problems can be adapted in functional setting. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:134 / 138
页数:5
相关论文
共 50 条
  • [1] Functional Sufficient Dimension Reduction for Functional Data Classification
    Wang, Guochang
    Song, Xinyuan
    JOURNAL OF CLASSIFICATION, 2018, 35 (02) : 250 - 272
  • [2] Functional Sufficient Dimension Reduction for Functional Data Classification
    Guochang Wang
    Xinyuan Song
    Journal of Classification, 2018, 35 : 250 - 272
  • [3] Effective dimension reduction for sparse functional data
    Yao, F.
    Lei, E.
    Wu, Y.
    BIOMETRIKA, 2015, 102 (02) : 421 - 437
  • [4] NONLINEAR SUFFICIENT DIMENSION REDUCTION FOR FUNCTIONAL DATA
    Li, Bing
    Song, Jun
    ANNALS OF STATISTICS, 2017, 45 (03): : 1059 - 1095
  • [5] Interpretable dimension reduction for classifying functional data
    Tian, Tian Siva
    James, Gareth M.
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 57 (01) : 282 - 296
  • [6] Bayesian Dimension Reduction Models for Microarray Data
    Shieh, Albert D.
    ADAPTIVE AND NATURAL COMPUTING ALGORITHMS, 2009, 5495 : 498 - 506
  • [7] NONLINEAR DIMENSION REDUCTION FOR FUNCTIONAL DATA WITH APPLICATION TO CLUSTERING
    Tan, Ruoxu
    Zang, Yiming
    Yin, Guosheng
    STATISTICA SINICA, 2024, 34 (03) : 1391 - 1412
  • [8] DIMENSION REDUCTION FOR FUNCTIONAL DATA BASED ON WEAK CONDITIONAL MOMENTS
    Li, Bing
    Song, Jun
    ANNALS OF STATISTICS, 2022, 50 (01): : 107 - 128
  • [9] Smoothed average variance estimation for dimension reduction with functional data
    Affossogbe, Metolidji Moquilas Raymond
    Martial Nkiet, Guy
    Ogouyandjou, Carlos
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (03) : 806 - 829
  • [10] On double-index dimension reduction for partially functional data
    Yang, Guangren
    Lin, Hongmei
    Lian, Heng
    JOURNAL OF NONPARAMETRIC STATISTICS, 2019, 31 (03) : 761 - 768