Bounds on the Minimax Rate for Estimating a Prior over a VC Class from Independent Learning Tasks

Theor. Comput. Sci., Volume 716, 2018, Pages 124-140.

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Abstract:

We study the optimal rates of convergence for estimating a prior distribution over a VC class from a sequence of independent data sets respectively labeled by independent target functions sampled from the prior. We specifically derive upper and lower bounds on the optimal rates under a smoothness condition on the correct prior, with the n...More

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