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Adaptive Batch Size for Safe Policy Gradients

NeurIPS 2017 · Reinforcement learning › Policy gradient and actor-critic · approach: Trajectory reuse in policy gradients

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
G(PO)MDP instead of REINFORCE as gradient estimatoradaptive step and batch size method (Chebyshev bound, δ=0.95) · LQGΥ (average performance): about 0.72 higher (-10.6085 vs -11.3266)Helped
Empirical range instead of theoretical range in Hoeffding bound (ablation)adaptive batch size with Hoeffding bound · LQGΥ (average performance): from -11.914 to -9.8582Helped
Empirical Bernstein bound instead of Chebyshev bound (ablation)adaptive batch size method with G(PO)MDP · LQGΥ (average performance): from -10.6085 (Chebyshev, δ=0.95) to -10.2159Helped
Empirical range instead of theoretical range in Bernstein bound (ablation)adaptive batch size with empirical Bernstein bound · LQGΥ (average performance): from -10.2159 to -9.6623Helped
Larger δ (allowing more probable worsening updates) (ablation)adaptive batch size with Chebyshev bound and G(PO)MDP · LQGΥ (average performance): from -11.836 (δ=0.05) to -10.6085 (δ=0.95)Helped
Theoretical Hoeffding bound instead of Chebyshev bound (ablation)adaptive batch size with G(PO)MDP · LQGΥ (average performance): from -10.6085 (Chebyshev, δ=0.95) to -11.914Hurt
Fixed small batch size combined with large step size (no adaptive batch size) (ablation)policy gradient updates with fixed step and batch sizes · LQG (σ=0.5 and σ=1)improvement ratio: e.g. 49.79% at N=100 vs 95.96% at N=10000 with α=1e-3 (σ=0.5)Hurt

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