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Research map / Learning theory and algorithms / Sample complexity

Maxmin Q-learning: Controlling the Estimation Bias of Q-learning

ICLR 2020 · Learning theory and algorithms › Sample complexity · approach: Optimal mean estimation and subsampling · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Maxmin Q-learning instead of Q-learningTabular Q-learning · Toy MDP, μ = +1policy optimalityHelped
Use Double Q-learning instead of Q-learningTabular Q-learning · Toy MDP, μ = +1policy optimalityHurt
Use Double Q-learning instead of Q-learningTabular Q-learning · Toy MDP, μ = -1speed to optimal policyHelped
Increase the number of estimators N in Maxmin Q-learning (ablation)Maxmin Q-learning · Toy MDP, μ = -1speed to optimal policyHurt
Use Maxmin Q-learning instead of Q-learning, Double Q-learning, or Averaged Q-learningMountain Car · Mountain Car, increasing reward variancetraining stabilityHelped
Use Maxmin DQN instead of the compared algorithmsMaxmin DQN · PixelcopterreturnHelped
Use Maxmin DQN instead of the compared algorithmsMaxmin DQN · LunarlanderreturnHelped
Use Maxmin DQN instead of the compared algorithmsMaxmin DQN · AsterixreturnHelped
Increase N in Maxmin DQN (ablation)Maxmin DQN · Pixelcopterfinal returnHelped
Increase N in Maxmin DQN (ablation)Maxmin DQN · Asterixfinal returnHelped
Increase N in Maxmin DQN (ablation)Maxmin DQN · Pixelcopterearly learning speedHurt
Increase N in Maxmin Q-learning (ablation)Maxmin Q-learning under the uniform random noise assumption · Action-value estimationvariance: Var[Q_{s a}^{min}] = \frac{12N^2}{(N+1)^{2}(N+2)} Var[Q_{s a}]; for N \geq 8, Var[Q_{s a}^{min}] < Var[Q_{s a}]Helped

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