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math.ST2023★ 1 cited
Empirical Bayes via ERM and Rademacher complexities: the Poisson model
Soham Jana, Yury Polyanskiy, Anzo Teh +1
We consider the problem of empirical Bayes estimation for (multivariate) Poisson means. Existing solutions that have been shown theoretically optimal for minimizing the regret (exc…
cs.IT2023
Comparing Poisson and Gaussian channels (extended)
Anzo Teh, Yury Polyanskiy
Consider a pair of input distributions which after passing through a Poisson channel become -close in total variation. We show that they must necessarily then be -…