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math.ST2022
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
Afonso S. Bandeira, Antoine Maillard, Richard Nickl +1
We exhibit examples of high-dimensional unimodal posterior distributions arising in non-linear regression models with Gaussian process priors for which MCMC methods can take an exp…
math.ST2022★ 1 cited
On minimax density estimation via measure transport
Sven Wang, Youssef Marzouk
We study the convergence properties, in Hellinger and related distances, of nonparametric density estimators based on measure transport. These estimators represent the measure of i…