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Policy Information Capacity: Information-Theoretic Measure for Task Complexity in Deep Reinforcement Learning

ICML 2021 · Reinforcement learning › Visual and representation RL · approach: Scalable RL systems and environments · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use POIC rather than reward marginal entropy as the solvability indicatorRL benchmark environments · OpenAI Gym, MuJoCo, and DM Control benchmarksPearson correlation with algorithm-based normalized score: -0.349 -> 0.807Helped
Use POIC rather than return variance as the solvability indicatorRL benchmark environments · OpenAI Gym, MuJoCo, and DM Control benchmarksPearson correlation with algorithm-based normalized score: 0.372 -> 0.807Helped
Use PIC rather than return variance as the solvability indicatorRL benchmark environments · OpenAI Gym, MuJoCo, and DM Control benchmarksPearson correlation with random-sampling-based normalized score: 0.314 -> 0.401Helped
Increase the synthetic MDP horizon from T=1 to T=3Synthetic MDP · Synthetic MDPNormalized Score: 0.451 -> 0.112Hurt
Increase the synthetic MDP horizon from T=1 to T=3Synthetic MDP · Synthetic MDPPIC: 0.087 -> 0.050Hurt
Increase the synthetic MDP horizon from T=1 to T=3Synthetic MDP · Synthetic MDPPOIC: 0.087 -> 0.049Hurt
Use a high-POIC initial policy-parameter prior (μ=0) rather than low-POIC priorsEvolution Strategies · Synthetic MDP, T=3Learning speedHelped
Use a high-PIC initial policy-parameter prior (μ=0) rather than low-PIC priorsEvolution Strategies · Synthetic MDP, T=3Learning speedHelped
Use PIC as the metric instead of marginal reward entropyPolicy-parameter priors · Synthetic MDP, T=3Pearson correlation with normalized score: R=0.95; R=0.78; marginal entropy R=0.99; R=-0.83Helped
Use POIC as the metric instead of marginal optimality entropyPolicy-parameter priors · Synthetic MDP, T=3Pearson correlation with normalized score: R=0.94; R=0.69; marginal entropy R=0.99; R=-0.82Helped
Choose reward shaping with smooth L1 or L2 distance rewards rather than Fraction or Sparse rewardsReacher and Pointmaze · Reacher and PointmazeRobustness to reward hyper-parametersHelped

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