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Trust Region Reward Optimization and Proximal Inverse Reward Optimization Algorithm
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Proposes TRRO, a minorization-maximization framework giving monotonic increase of expert likelihood for non-adversarial IRL, and PIRO, a practical SAC-based instantiation with adaptive L2 reward-update regularization.
Problem
Adversarial IRL is unstable, and existing non-adversarial energy-based IRL methods lack formal stability guarantees on reward updates.
Approach
Shows canonical non-adversarial IRL methods maximize expert likelihood (equivalently minimize imitation gap), then derives a trust-region-style MM surrogate for reward updates that guarantees monotonic likelihood improvement under exact policy optimization; PIRO approximates it with an L2 reward-difference penalty with adaptive coefficient and SAC policy steps.
Key results
- PIRO achieves 5967.2 on Ant-v4 vs 5382.5 for the best baseline f-IRL (+584.7) and 5643.7 on Walker2d-v4 (+849.0 gain).
- PIRO reaches 25.7 on AntMaze-UMazeDense-v4 vs 35.6 expert and 11.9 for best baseline HyPE.
- PIRO is slightly below the best baseline on Hopper-v4 (3362.0 vs 3535.7 for GAIL) and on average improves reward recovery across most tasks.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use PIRO instead of ML-IRL | IRL on Ant-v4 · Ant-v4 | averaged reward: 5382.5 -> 5967.2 | Helped |
| use PIRO instead of ML-IRL | IRL on Humanoid-v4 · Humanoid-v4 | averaged reward: 5573.4 -> 5954.9 | Helped |
| use PIRO instead of GAIL | IRL on Walker2d-v4 · Walker2d-v4 | averaged reward: 4158.1 -> 5643.7 | Helped |
| use PIRO instead of GAIL | IRL on Hopper-v4 · Hopper-v4 | averaged reward: 3535.7 -> 3362.0 | Hurt |
| use PIRO instead of ML-IRL | IRL on Halfcheetah-v4 · Halfcheetah-v4 | averaged reward: 11873.2 -> 12587.4 | Helped |
| use PIRO instead of HyPE | IRL on AntMaze-UMazeDense-v4 · AntMaze-UMazeDense-v4 | averaged reward: 11.9 -> 25.7 | Helped |
| use PIRO instead of IQ | IRL on AntMaze-MediumDense-v4 · AntMaze-MediumDense-v4 | averaged reward: 3.4 -> 9.4 | Helped |
| use PIRO instead of AIRL | IRL on AntMaze-LargeDense-v4 · AntMaze-LargeDense-v4 | averaged reward: 3.4 -> 8.8 | Helped |
| use PIRO instead of BC | imitation on AdroitHandePen-Human-v1 · AdroitHandePen-Human-v1 | averaged reward: 44.1 -> 254.0 | Helped |
Surprising findings
- Hopper-v4 is the one MuJoCo task where PIRO trails the best baseline (3362.0 vs GAIL's 3535.7 with the table's bolding).
- The theoretical constant C is too large in practice, so the paper replaces it with an adaptive coefficient mu.
Limitations
- Monotonic guarantee assumes exact policy optimization, which is not achieved in practice.
- On-policy sampling may reduce sample efficiency.
- Overall stability depends on the underlying policy optimizer in high-dimensional settings.
Experimental setup
Datasets: MuJoCo expert demonstrations (from f-IRL and ML-IRL) Minari Offline RL datasets (Gym-Robotics) real-world meerkat behavior dataset
Benchmarks: MuJoCo Ant-v4 Humanoid-v4 Walker2d-v4 Hopper-v4 Halfcheetah-v4 AntMaze-UMazeDense-v4 AntMaze-MediumDense-v4 AntMaze-LargeDense-v4 AdroitHandPen-Human-v1 LunarLander 7x7 grid world
Metrics: averaged reward learning curves sample efficiency runtime per iteration
Baselines: BC GAIL MM AIRL FILTER HyPE DAC IQ-Learn ML-IRL f-IRL CSIL P2IL
Builds on: ML-IRL Soft Actor-Critic TRPO SQIL f-IRL
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