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math.PR2026
Note on Finite-Automata Bernoulli Factories for Rational Functions
Renato Paes Leme, Jon Schneider
Mossel and Peres (2005) established a comprehensive framework for designing Bernoulli factories. Notably, they demonstrated that a single-variable function admits a finite-automata…
math.PR2022
Multiparameter Bernoulli Factories
Renato Paes Leme, Jon Schneider
We consider the problem of computing with many coins of unknown bias. We are given samples access to coins with \emph{unknown} biases and are asked to sample f…