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math.ST2021
Admissibility is Bayes optimality with infinitesimals
Haosui Duanmu, Daniel M. Roy, David Schrittesser
We give an exact characterization of admissibility in statistical decision problems in terms of Bayes optimality in a so-called nonstandard extension of the original decision probl…
math.ST2021★ 5 cited
Minimax Rates for Conditional Density Estimation via Empirical Entropy
Blair Bilodeau, Dylan J. Foster, Daniel M. Roy
We consider the task of estimating a conditional density using i.i.d. samples from a joint distribution, which is a fundamental problem with applications in both classification and…