Distance-based Kriging relying on proxy simulations for inverse conditioning
type: Dataset
description: We consider the problem of rapidly identifying, among a large set of candidate parameter fields, a subset of candidates whose responses computed by accurate forward flow and transport simulation match a reference response curve. In order to keep the number of calls to the flow simulator computationally tractable, a recent distance-based approach relying on fast proxy simulations is revisited, and turned into a non-stationary Kriging method. The covariance kernel is obtained by combining a classical kernel with the proxy function, hence generalizing the idea of random field deformation to high-dimensional Computer Experiments. Once the accurate simulator has been run for an initial subset of models and a Kriging metamodel has been inferred, the predictive distributions of misfits for the remaining geological models can be used as a guide to solve the inverse problem in a sequential way. The proposed algorithm, Proxy-based Kriging for Sequential Inversion (PROKSI), relies indeed on a variant of the Expected Improvement, a popular criterion for Kriging-based global optimization. A statistical benchmark of ProKSI's performances finally illustrates the efficiency and the robustness of the approach when using different kinds of proxies.
issued: 2026-05-18T09:47:35.670283
language: en
modified: 2026-05-18T09:47:35.670289
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticspreprint
keyword: infoinfo-mocomputer-science-csmodeling-and-simulation
keyword: preprints-working-papers-
keyword: sdustusciences-of-the-universe-physicsearth-sciences
keyword: statapstatistics-statapplications-statap
keyword: statmlstatistics-statmachine-learning-statml
landing page: https://hal.science/hal-00698582

Distance-based Kriging relying on proxy simulations for inverse conditioning
type: Distribution
format: HTML
issued: 2026-05-18T09:47:35.731214
modified: 2026-05-18T09:47:35.650693
access URL: https://hal.science/hal-00698582

test_moissonnage_selune
type: Agent