Application of integral operator for vector-valued regression learning

Author:

Ma Yuanxin1,Sun Hongwei1

Affiliation:

1. School of Mathematical Science, University of Jinan, Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Jinan 250022, P. R. China

Abstract

In this paper, the regression learning algorithm with vector-valued RKHS is studied. We motivate the need for extending learning theory of scalar-valued functions and analze the learning performance. In this setting, the output data are from a Hilbert space [Formula: see text], the associated RKHS consists of functions with values lie in [Formula: see text]. By providing mathematical aspects of vector-valued integral operator [Formula: see text], the capacity independent error bounds and learning rates are derived by means of the integral operator technique.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

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