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A Method for Evaluating Hyperparameter Sensitivity in Reinforcement Learning
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Proposes a methodology with a hyperparameter sensitivity metric, a performance-sensitivity plane, and effective hyperparameter dimensionality, and applies it to PPO normalization variants on Brax MuJoCo tasks.
Problem
Existing RL evaluation focuses on benchmark performance and lacks a scalable, agreed-upon way to quantify how much an algorithm's peak performance depends on per-environment hyperparameter tuning.
Approach
Defines hyperparameter sensitivity as the gap between per-environment tuned normalized score and the best fixed (cross-environment) hyperparameter setting's score, plus a performance-sensitivity plane for comparing variants and an effective hyperparameter dimensionality metric counting how many hyperparameters must be tuned per environment to reach 95% of peak performance.
Key results
- Advantage per-minibatch zero-mean normalization increased performance more than sensitivity (Region 2), while advantage percentile scaling variants increased sensitivity more than performance (Region 4).
- No normalization variant improved both performance and reduced hyperparameter sensitivity relative to unnormalized PPO.
- Value target symlog lowered performance and may slightly increased sensitivity (Region 5); observation normalization may slightly reduce sensitivity but confidence intervals are wide.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add advantage per-minibatch zero-mean normalization (ablation) | PPO · Five Brax MuJoCo environments | per-environment tuned normalized score | Helped |
| add advantage per-minibatch zero-mean normalization (ablation) | PPO · Five Brax MuJoCo environments | hyperparameter sensitivity | Hurt |
| add advantage percentile scaling (ablation) | PPO · Five Brax MuJoCo environments | hyperparameter sensitivity | Hurt |
| add lower bounded advantage percentile scaling (ablation) | PPO · Five Brax MuJoCo environments | normalized score with smaller tuned hyperparameter subsets | Helped |
| apply symlog to value targets (ablation) | PPO · Five Brax MuJoCo environments | per-environment tuned score | Hurt |
| add observation normalization (ablation) | PPO · Five Brax MuJoCo environments | hyperparameter sensitivity | No clear effect |
Surprising findings
- Normalization variants that increased tuned performance also increased hyperparameter sensitivity, contrary to the view that normalization makes RL easier to tune.
- Algorithms with similar sensitivity can have very different effective hyperparameter dimensionality.
Limitations
- Sensitivity metric depends heavily on the chosen environment distribution; findings limited to the five Brax MuJoCo environments.
- Results depend on grid granularity and the choice of score normalization method (5th-95th percentile).
- Only PPO and its normalization variants were studied; AutoRL methods and other algorithms not evaluated.
Experimental setup
Datasets: Brax Ant Brax Halfcheetah Brax Hopper Brax Swimmer Brax Walker2d
Benchmarks: Brax Ant Brax Halfcheetah Brax Hopper Brax Swimmer Brax Walker2d
Metrics: area under learning curve normalized environment score hyperparameter sensitivity per-environment tuned score effective hyperparameter dimensionality
Baselines: PPO (unnormalized) advantage per-minibatch zero-mean normalization advantage percentile scaling advantage lower bounded percentile scaling value target symlog observation zero-mean normalization observation symlog
Builds on: PPO DreamerV3 PureJaxRL
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