Doubly Robust Policy Evaluation and Optimization

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چکیده

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Doubly Robust Policy Evaluation and Optimization

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Proof. For the base case t = H + 1, since V 0 DR = V (s H+1) = 0, it is obvious that at the (H + 1)-th step the estimator is unbiased with 0 variance, and the theorem holds. For the inductive step, suppose the theorem holds for step t + 1. At time step t, we have: V t V H+1−t DR = E t V H+1−t DR 2 − E t V (s t) 2 = E t V (s t) + ρ t r t + γV H−t DR − Q(s t , a t) 2 − V (s t) 2 + V t V (s t) = E...

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ژورنال

عنوان ژورنال: Statistical Science

سال: 2014

ISSN: 0883-4237

DOI: 10.1214/14-sts500