mlsanityData to 7 Oct 2026

Rational Kriging

arXiv 2312.05372 ↗First posted 8 Dec 2023stat.ME stat.MLcited by 1

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Abstract (arXiv)

This article proposes a new kriging that has a rational form. It is shown that the generalized least squares estimate of the mean from rational kriging is much more well behaved than that from ordinary kriging. Parameter estimation and uncertainty quantification for rational kriging are proposed using a Gaussian process framework. Its potential applications in emulation and calibration of computer models are also discussed.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 8 of its 39 references that are in the map. First posted on arXiv 8 Dec 2023.

Builds on

8 of 39 references.

References · 8

  1. 2020SPlit: An Optimal Method for Data Splittingcited by 15
  2. 2015A theoretical framework for calibration in computer models: parametrization, estimation and convergence propertiescited by 12
  3. 2016Orthogonal Gaussian process modelscited by 10
  4. 2015Efficient Calibration for Imperfect Computer Modelscited by 9
  5. 2019Function-on-function kriging, with applications to 3D printing of aortic tissuescited by 9
  6. 2014A Frequentist Approach to Computer Model Calibrationcited by 4
  7. 2017Scaled Gaussian Stochastic Process for Computer Model Calibration and Predictioncited by 3
  8. 2017Adjustments to Computer Models via Projected Kernel Calibrationcited by 2

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Citing papers per year: 2025: 1.

1 paper.

  1. 2025Deep P-Spline: Theory, Fast Tuning, and Applicationcited by 1