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Sample-Efficient Reinforcement Learning for Linearly-Parameterized MDPs with a Generative Model

NeurIPS 2021 · Reinforcement learning › MDPs and planning · approach: Function approximation in RL theory · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use model-based planning from anchor-pair transition samples under the linear transition modelModel-based RL · Linear-transition MDP, generative modelsample complexity: \widetilde{O}\left(\frac{K}{\left(1-\gamma\right)^{3}\varepsilon^{2}}\right)Helped
Use vanilla Q-learning with the paper's learning-rate conditionVanilla Q-learning · Linear-transition MDP, generative modelsample complexity for an ε-accurate Q-function: \widetilde{O}\left(\frac{K}{\left(1-\gamma\right)^{4}\varepsilon^{2}}\right)Helped
Use vanilla Q-learning instead of Phased Parametric Q-learningQ-learning under the linear transition model · Linear-transition MDP, generative modelsample complexity for an ε-optimal policy: \widetilde{O}\left(\frac{K}{\left(1-\gamma\right)^{6}\varepsilon^{2}}\right) -> \widetilde{O}\left(\frac{K}{\left(1-\gamHelped
Use Optimal Phased Parametric Q-learning with variance reduction instead of vanilla Q-learningQ-learning under the linear transition model · Linear-transition MDP, generative modelsample complexity: \widetilde{O}\left(\frac{K}{\left(1-\gamma\right)^{4}\varepsilon^{2}}\right) -> \widetilde{O}\left(\frac{K}{(1-\gamma)^{Helped
Exploit the linear transition structure instead of treating the MDP as tabularModel-based RL · Linear-transition MDP versus tabular MDPsample complexity: \widetilde{O}\left(\frac{K}{\left(1-\gamma\right)^{3}\varepsilon^{2}}\right); \widetilde{\Omega}((1-\gamma)^{-3}\varepsiHelped

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