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Regularized Parameter Uncertainty for Improving Generalization in Reinforcement Learning

CVPR 2024 · Reinforcement learning › Visual and representation RL · approach: Probabilistic and autonomous RL · 3 citations (OpenAlex)

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Proposes SNR PUN, a Bayesian parameter-uncertainty PPO policy whose parameters are regularized by capping each weight's mean-to-std ratio, improving out-of-distribution generalization on mutated control environments and transferring to a physical cartpole.

Problem

RL agents overfit to their training environment and generalize poorly to unseen environment configurations; standard KL-based regularization of parameter-uncertainty networks is hard to apply in noisy RL training.

Approach

Replace the KL-to-prior term in Bayes-by-backprop with a loss that penalizes each parameter's signal-to-noise ratio |mu|/sigma above a maximum threshold, shown to be equivalent to a KL against a family of priors; combined with per-timestep resampling, a deterministic critic, and a larger sigma initialization inside PPO.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add SNR regularization to PUN (ablation)PUN · CartPoleSwingUpATP: 534.43 ± 48.40 -> 670.48 ± 13.42Helped
add SNR regularization to PUN (ablation)PUN · Acrobot-v1ATP: 246.57 ± 22.55 -> 421.77 ± 32.74Helped
add SNR regularization to PUN (ablation)PUN · QuadrupedATP: 738.95 ± 3.91 -> 750.47 ± 3.23Helped
add SNR regularization to PUN (ablation)PUN · WalkerATP: 250.11 ± 16.28 -> 310.96 ± 16.96Helped
sample parameters once per simulation rollout instead of resampling every timestep (ablation)SNR PUN · CartPoleSwingUp, Acrobot-v1, Quadruped, WalkerATP: 670.48 ± 13.42 -> 664.88 ± 24.35; 421.77 ± 32.74 -> 423.43 ± 50.98; 750.47 ± 3.23 -> 751.21 ± 3.44; 310.96 ± 16.96 -> 30Mixed
use the parameter mean instead of sampling parameters (ablation)SNR PUN · CartPoleSwingUp, Acrobot-v1, Quadruped, WalkerATP: 670.48 ± 13.42 -> 693.86 ± 12.21; 421.77 ± 32.74 -> 417.32 ± 31.97; 750.47 ± 3.23 -> 749.13 ± 3.41; 310.96 ± 16.96 -> 31Mixed

Surprising findings

Limitations

Experimental setup

Datasets: CartPoleSwingUp Acrobot-v1 Quadruped Walker

Benchmarks: CartPoleSwingUp Acrobot-v1 Quadruped Walker physical cartpole

Metrics: average task performance (ATP) successful swingup percentage

Baselines: MLP dropout gSDE maximum entropy RL weight decay VIB PUN

Builds on: Bayes-by-backprop proximal policy optimization variational information bottleneck gSDE

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