280 citations · 707 across the 23 of their papers we have counts for
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math.ST2011★ 43 cited
Bayesian recovery of the initial condition for the heat equation
B. T. Knapik, A. W. van der Vaart, J. H. van Zanten
We study a Bayesian approach to recovering the initial condition for the heat equation from noisy observations of the solution at a later time. We consider a class of prior distrib…
math.ST2011★ 192 cited
Bayesian inverse problems with Gaussian priors
B. T. Knapik, A. W. van der Vaart, J. H. van Zanten
The posterior distribution in a nonparametric inverse problem is shown to contract to the true parameter at a rate that depends on the smoothness of the parameter, and the smoothne…