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Online Target Q-learning with Reverse Experience Replay: Efficiently finding the Optimal Policy for Linear MDPs

ICLR 2022 · Reinforcement learning › MDPs and planning · approach: Policy optimization theory · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Q-Rex with online target learning and reverse experience replay on ZIBEL/linear MDPsQ-learning · ZIBEL/linear MDPsample complexity: vanilla Q-learning can fail to converge; Q-Rex finds the optimal policy with sample complexity \tilde{O}\left(\kappa \maHelped
Use Q-Rex with asynchronous dataTabular Q-learning · Tabular MDPsample complexity: \tilde{O}\left(\tfrac{1}{\mu_{\min}}\max\left(\tfrac{1}{(1-\gamma)^4\min(\epsilon,\epsilon^2)},\tfrac{\tmix}{1-\gamma}\rHelped
Reuse data from the first outer-loop iteration (ablation)Q-Rex · Tabular MDP with bounded transition supportsample complexity: \tilde{O}\left(\tfrac{1}{\mu_{min}}\max\left(\tmix,\tfrac{1}{\epsilon^2(1-\gamma)^3},\tfrac{\bar{d}}{(1-\gamma)^2},\tfraHelped
Use EpiQ-Rex rather than vanilla Q-learningQ-learning · Mountain Carmean episode length: 145 -> 136Helped
Use EpiQ-Rex rather than OTL+ER+Q-learningQ-learning · Mountain Carmean episode length: 143 -> 136Helped
Replace randomly ordered replay with reverse-order replay (ablation)OTL+ER+Q-learning · 100-State Random Walkfinal solution qualityHelped
Add online target learning (ablation)Q-learning · Baird's Counter-ExampleconvergenceHelped
Use Q-Rex rather than vanilla Q-learningQ-learning · Linear dynamical system with linear rewardsvalue estimation errorHelped
Use Q-Rex rather than OTL+ER-based Q-learningQ-learning · Linear dynamical system with linear rewardsvalue estimation errorHelped
Use reverse replay with OTL rather than ER+Q-learning (ablation)Q-learning · Linear dynamical system with linear rewardsvalue estimation errorHurt

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