184 citations · 315 across the 23 of their papers we have counts for
3 papers · 1 filter
Comparing Scale Parameter Estimators for Gaussian Process Interpolation with the Brownian Motion Prior: Leave-One-Out Cross Validation and Maximum Likelihood
Masha Naslidnyk, Motonobu Kanagawa, Toni Karvonen +1
Gaussian process (GP) regression is a Bayesian nonparametric method for regression and interpolation, offering a principled way of quantifying the uncertainties of predicted functi…
On the positivity and magnitudes of Bayesian quadrature weights
Toni Karvonen, Motonobu Kanagawa, Simo Särkkä
This article reviews and studies the properties of Bayesian quadrature weights, which strongly affect stability and robustness of the quadrature rule. Specifically, we investigate…
Large sample analysis of the median heuristic
Damien Garreau, Wittawat Jitkrittum, Motonobu Kanagawa
In kernel methods, the median heuristic has been widely used as a way of setting the bandwidth of RBF kernels. While its empirical performances make it a safe choice under many cir…