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arXiv · 2609.16472

Online Gradient Computation for Warping Gaussian Process Transformations

Emilio Ruiz-Moreno·Konstantinos Slavakis·Baltasar Beferull-Lozano
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Abstract

Warped Gaussian processes (GPs) handle non-Gaussian observations by mapping them into a latent standard GP via a parametric transformation called warping. Existing streaming variants, however, either optimize the warping parameters periodically or sacrifice analytical tractability for a higher model capacity. To bridge this gap, we show that the gradient of the instantaneous negative log-likelihood of a warped GP admits an exact recursive computation. Based on this result, we propose a novel online method for warped GPs that jointly updates the latent GP moments and optimizes the warping parameters.

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Emilio Ruiz-Moreno, Konstantinos Slavakis, Baltasar Beferull-Lozano. 2026-09-15. Online Gradient Computation for Warping Gaussian Process Transformations. https://arxiv.org/abs/2609.16472

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