Supervised classification for functional data: A weighted distance approach

被引:24
作者
Alonso, Andres M. [1 ]
Casado, David [1 ]
Romo, Juan [1 ]
机构
[1] Univ Carlos III Madrid, Dept Estadist, E-28903 Getafe, Spain
关键词
Supervised classification; Discriminant analysis; Functional data; Weighted distances; DATA DEPTH; CURVES;
D O I
10.1016/j.csda.2012.01.013
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A natural methodology for discriminating functional data is based on the distances from the observation or its derivatives to group representative functions (usually the mean) or their derivatives. It is proposed to use a combination of these distances for supervised classification. Simulation studies show that this procedure performs very well, resulting in smaller testing classification errors. Applications to real data show that this technique behaves as well as - and in some cases better than - existing supervised classification methods for functions. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:2334 / 2346
页数:13
相关论文
共 33 条
  • [1] Unsupervised curve clustering using B-splines
    Abraham, C
    Cornillon, PA
    Matzner-Lober, E
    Molinari, N
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2003, 30 (03) : 581 - 595
  • [2] [Anonymous], 1978, A Practical Guide to Splines
  • [3] Baillo A., 2008, SUPERVISED FUN UNPUB
  • [4] BERLINET A., 2008, ANN ISUP, V52, P61
  • [5] Biau G, 2003, IEEE T INFORM THEORY, V1, P1
  • [6] Casado D, 2010, THESIS U CARLOS 3 MA
  • [7] Functional clustering of longitudinal data
    Chiou, Jeng-Min
    Li, Pai-Ling
    [J]. FUNCTIONAL AND OPERATORIAL STATISTICS, 2008, : 103 - +
  • [8] Functional clustering and identifying substructures of longitudinal data
    Chiou, Jeng-Min
    Li, Pai-Ling
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2007, 69 : 679 - 699
  • [9] Correlation-Based Functional Clustering via Subspace Projection
    Chiou, Jeng-Min
    Li, Pai-Ling
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2008, 103 (484) : 1684 - 1692
  • [10] Impartial trimmed k-means for functional data
    Cuesta-Albertos, Juan Antonio
    Fraiman, Ricardo
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2007, 51 (10) : 4864 - 4877