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›› 2014, Vol. 31 ›› Issue (6): 843-845.DOI: 10.7523/j.issn.2095-6134.2014.06.017

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Brief Report A note on construction of covariance functions of multiple Gaussian processes

MU Weiyan, XIONG Shifeng   

  1. 1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;
    2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2013-09-25 Revised:2014-01-15
  • Supported by:

    Supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR201107123), Central Support Local Projects (PXM 2013-014210-000173), Projects for Talents from Beijing Organization Department (2013D005017000016), and National Natural Science Foundation of China (11271355)

Abstract:

We provide a simple but general method to construct covariance functions of dependent Gaussian processes with multiple outputs. Our method relies only on existing covariance functions of Gaussian processes with single output. Several examples in computer experiments are given.

Key words: computer experiment, dependent Gaussian processes, multiple levels of accuracy

CLC Number: