Posterior contraction for deep Gaussian process priors

05/16/2021
by   Gianluca Finocchio, et al.
0

We study posterior contraction rates for a class of deep Gaussian process priors applied to the nonparametric regression problem under a general composition assumption on the regression function. It is shown that the contraction rates can achieve the minimax convergence rate (up to log n factors), while being adaptive to the underlying structure and smoothness of the target function. The proposed framework extends the Bayesian nonparametrics theory for Gaussian process priors.

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