Learning rates for regularized least squares ranking algorithm

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

25 Scopus Citations
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Author(s)

  • Yulong Zhao
  • Jun Fan
  • Lei Shi

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)815-836
Journal / PublicationAnalysis and Applications
Volume15
Issue number6
Online published11 May 2017
Publication statusPublished - Nov 2017

Abstract

The ranking problem aims at learning real-valued functions to order instances, which has attracted great interest in statistical learning theory. In this paper, we consider the regularized least squares ranking algorithm within the framework of reproducing kernel Hilbert space. In particular, we focus on analysis of the generalization error for this ranking algorithm, and improve the existing learning rates by virtue of an error decomposition technique from regression and Hoeffding's decomposition for U-statistics.

Research Area(s)

  • approximation error, covering number, generalization bound, Ranking algorithm, U-statistics

Citation Format(s)

Learning rates for regularized least squares ranking algorithm. / Zhao, Yulong; Fan, Jun; Shi, Lei.
In: Analysis and Applications, Vol. 15, No. 6, 11.2017, p. 815-836.

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