Empirical Bayes via ERM and Rademacher complexities: the Poisson model

We consider the problem of empirical Bayes estimation for (multivariate) Poisson means. Existing solutions that have been shown theoretically optimal for minimizing the regret (excess risk over the Bayesian oracle that knows the prior) have several shortcomings. For example, the classical Robbins es...

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Bibliographic Details
Main Author: Teh, Anzo Zhao Yang
Other Authors: Polyanskiy, Yury
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/152656