×

Comments on: “Probability enhanced effective dimension reduction for classifying sparse functional data”. (English) Zbl 1336.62201

Summary: We would like to supplement the article of F. Yao et al. [ibid. 25, No. 1, 1–22 (2016; Zbl 1336.62198)] with two more points. First, we express our views about the proposed work’s major contributions to the area of sparse functional data classification. Second, we suggest some possible future research directions and discuss ideas of generalizing the method to deal with the problem of multiclass classification for sparse functional data.

MSC:

62H30 Classification and discrimination; cluster analysis (statistical aspects)

Citations:

Zbl 1336.62198
PDFBibTeX XMLCite
Full Text: DOI Link

References:

[1] Delaigle A, Hall P (2012) Achieving near perfect classification for functional data. J R Stat Soc Ser B (Stat Methodol) 74:267-286 · Zbl 1411.62164 · doi:10.1111/j.1467-9868.2011.01003.x
[2] James GM (2002) Generalized linear models with functional predictors. J R Stat Soc Ser B (Stat Methodol) 64(3):411-432 · Zbl 1090.62070 · doi:10.1111/1467-9868.00342
[3] Liu Y, Shen X (2006) Multicategory \[\psi\] ψ-learning. J Am Stat Assoc 101:500-509 · Zbl 1119.62341 · doi:10.1198/016214505000000781
[4] Müller HG, Stadtmüller U (2005) Generalized functional linear models. Ann Stat 33(2):774-805 · Zbl 1068.62048 · doi:10.1214/009053604000001156
[5] Rao JA (2004) Functional and longitudinal data analysis: perspectives on smoothing. Stat Sin 14:631-647 · Zbl 1073.62033
[6] Wu Y, Zhang HH, Liu Y (2010) Robust model-free multiclass probability estimation. J Am Stat Assoc 105(489):424-436 · Zbl 1397.62236 · doi:10.1198/jasa.2010.tm09107
[7] Wu Y, Liu Y (2007) Robust truncated-hinge-loss support vector machines. J Am Stat Assoc 102:974-983 · Zbl 1469.62293 · doi:10.1198/016214507000000617
[8] Wu Y, Liu Y (2013) Functional robust support vector machines for sparse and irregular longitudinal data. J Comput Graph Stat 2:379-395 · doi:10.1080/10618600.2012.680823
[9] Yao F, Müller HG, Wang JL (2005) Functional data analysis for sparse longitudinal data. J Am Stat Assoc 100(470):577-590 · Zbl 1117.62451 · doi:10.1198/016214504000001745
[10] Zhao X, Marron JS, Wells MT (2004) The functional data analysis view of longitudinal data. Stat Sin 14:789-808 · Zbl 1073.62001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.