Journal of Frame and Matrix Theory

Journal of Frame and Matrix Theory

Restricted gaussian process for predicting latent functions

Document Type : Original Article

Authors
1 Department of Mathematics and Computer Science, Hakim Sabzevari University, Sabzevar, Iran.
2 Department of information Technology and Computer engineering , Sabzevar Branch, Islamic Azad University, Sabzevar, Iran
Abstract
In this paper, we evaluate the gaussian process (GP) as a powerful toolkit for nonparametric classification, and regression. Unlike traditional parametric methods, GPs provide a distribution over functional spaces to model the uncertainty in predictions. The relationship between GP and input correlation kernel functions are illustrated, and some different kernels are introduced. Moreover, practical applications of GP for large scale problems using the Nyström approximation have been studied, and several numerical examples have been provided to verify the validity and efficiency of the proposed method. The implementation codes have been executed in Python using Scikit-learn library.
Keywords

Subjects


Volume 2, Issue 2
September 2025
Pages 56-74

  • Receive Date 02 February 2025
  • Revise Date 16 August 2025
  • Accept Date 26 August 2025