Online learning for quantile regression and support vector regression

Ting Hu, Dao-Hong Xiang, Ding-Xuan Zhou

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

12 Citations (Scopus)

Abstract

We consider for quantile regression and support vector regression a kernel-based online learning algorithm associated with a sequence of insensitive pinball loss functions. Our error analysis and derived learning rates show quantitatively that the statistical performance of the learning algorithm may vary with the quantile parameter In our analysis we overcome the technical difficulty caused by the varying insensitive parameter introduced with a motivation of sparsity. © 2012 Elsevier B.V.
Original languageEnglish
Pages (from-to)3107-3122
JournalJournal of Statistical Planning and Inference
Volume142
Issue number12
DOIs
Publication statusPublished - Dec 2012

Research Keywords

  • Error analysis
  • Insensitive pinball loss
  • Online learning
  • Quantile regression
  • Reproducing kernel Hilbert space
  • Support vector regression

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