356 citations · 712 across the 3 of their papers we have counts for
3 papers
math.ST2009★ 192 cited
Adaptive Bayesian estimation using a Gaussian random field with inverse Gamma bandwidth
A. W. van der Vaart, J. H. van Zanten
We consider nonparametric Bayesian estimation inference using a rescaled smooth Gaussian field as a prior for a multidimensional function. The rescaling is achieved using a Gamma v…
math.ST2008★ 356 cited
Rates of contraction of posterior distributions based on Gaussian process priors
A. W. van der Vaart, J. H. van Zanten
We derive rates of contraction of posterior distributions on nonparametric or semiparametric models based on Gaussian processes. The rate of contraction is shown to depend on the p…
math.FA2008★ 164 cited
Reproducing kernel Hilbert spaces of Gaussian priors
A. W. van der Vaart, J. H. van Zanten
We review definitions and properties of reproducing kernel Hilbert spaces attached to Gaussian variables and processes, with a view to applications in nonparametric Bayesian statis…