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Policy Evaluation on Reinforcement Learning (Theoretical Analysis)

-1Convergence RateGTD/GTD2
-1.08-0.5400.54Sep 12, 2017

Evaluation results

MethodLinks
GTD/GTD2Update Rule=yt = yt−1 + βt(µtbt − µt∆tθt−1 − Qtyt−1); θt = θt−1 + αt(µtA⊤t yt−1), Step-size schedule (alpha_t)=αt = βt = O(1/√t), Averaging/Projection Method=Projection+PR2017.09-1
GTD/GTD2Update Rule=yt = yt−1 + βt(µtbt − µt∆tθt−1 − Qtyt−1); θt = θt−1 + αt(µtA⊤t yt−1), Step-size schedule (alpha_t)=βt = ηαt, Σ αt = ∞, Σ αt^2 < ∞2017.090
TD(0)Update Rule=θt = θt−1 + αt(bt − ∆tθt−1), Step-size schedule (alpha_t)=αt = O(1/t)^β, β ∈ (0, 1), Averaging/Projection Method=PR-avg, Policy Protocol=on-policy2017.091