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We study convergence rates of variational posterior distributions for nonparametric and high-dimensional inference.
On bayes procedures
Lorraine Schwartz · 1965
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Convergence of estimates under dimensionality restrictions
L LeCam · 1973
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The exponential convergence of posterior probabilities with implications for Bayes estimators of density functions
Andrew R Barron · 1988
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The consistency of posterior distributions in nonparametric problems
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Convergence rates of posterior distributions for noniid observations
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On rates of convergence for posterior distributions in infinite-dimensional models
Stephen G Walker, Antonio Lijoi, and Igor Prünster · 2007
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Lower bounds for posterior rates with gaussian process priors
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Ismaël Castillo, Johannes Schmidt-Hieber, and Aad Van der Vaart · 2015
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A general framework for bayes structured linear models
Chao Gao, Aad W van der Vaart, and Harrison H Zhou · 2015
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Marc Hoffmann, Judith Rousseau, and Johannes Schmidt-Hieber · 2015
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