English

Linearly constrained Gaussian processes

Machine Learning 2017-09-20 v2

Abstract

We consider a modification of the covariance function in Gaussian processes to correctly account for known linear constraints. By modelling the target function as a transformation of an underlying function, the constraints are explicitly incorporated in the model such that they are guaranteed to be fulfilled by any sample drawn or prediction made. We also propose a constructive procedure for designing the transformation operator and illustrate the result on both simulated and real-data examples.

Keywords

Cite

@article{arxiv.1703.00787,
  title  = {Linearly constrained Gaussian processes},
  author = {Carl Jidling and Niklas Wahlström and Adrian Wills and Thomas B. Schön},
  journal= {arXiv preprint arXiv:1703.00787},
  year   = {2017}
}

Comments

A few fixes and added citation inforomation

R2 v1 2026-06-22T18:33:39.166Z