11 citations · 40 across the 18 of their papers we have counts for
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math.ST2022★ 10 cited
Maximum Likelihood Estimation in Gaussian Process Regression is Ill-Posed
Toni Karvonen, Chris J. Oates
Gaussian process regression underpins countless academic and industrial applications of machine learning and statistics, with maximum likelihood estimation routinely used to select…
math.ST2022
Asymptotic Bounds for Smoothness Parameter Estimates in Gaussian Process Interpolation
Toni Karvonen
It is common to model a deterministic response function, such as the output of a computer experiment, as a Gaussian process with a Matérn covariance kernel. The smoothness paramete…
math.ST2022★ 3 cited
Error analysis for a statistical finite element method
Toni Karvonen, Fehmi Cirak, Mark Girolami
The recently proposed statistical finite element (statFEM) approach synthesises measurement data with finite element models and allows for making predictions about the unknown true…