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Bibliographic Details
Main Authors: Lübsen, Jannis, Eichler, Annika
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.13302
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Table of Contents:
  • This paper extends safety guarantees for multi-task Bayesian optimization with uncertain co-regionalization matrices from intrinsic co-regionalization models to linear models of co-regionalization. The latter allows for more flexible modeling of the inter-task correlations by composing multiple features. We derive uniform error bounds for vector-valued functions sampled from a Gaussian process with a linear model of co-regionalization kernel. Furthermore, we show the potential performance gains of linear models of co-regionalization in a numerical comparison on a safe multi-task Bayesian optimization benchmark.