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Online Optimization for Offline Safe Reinforcement Learning
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Frames offline safe RL as a minimax Lagrangian problem and solves it with an offline RL oracle plus a bandit (EXP3) over discretized Lagrange multipliers, using truncated TD3+BC updates and no off-policy evaluation.
Problem
Offline safe RL: learn a reward-maximizing policy from a fixed dataset under a cumulative cost constraint, especially with stringent cost thresholds, where Lagrangian methods are unstable and OPE-based methods are error-prone.
Approach
Relabel offline rewards with the current Lagrange multiplier and update the multiplier via a no-regret (EXP3 multi-armed bandit over K discrete lambda values) step, without any OPE; the practical version runs only M gradient steps of the offline RL learner per round and returns the last-iterate policy.
Key results
- With cost threshold 5, O3SRL is the only method that satisfies the normalized cost constraint on all eight DSRL tasks (e.g., BallRun reward 0.25±0.03 at cost 0.00 vs CAPS 0.07±0.05).
- On BallCircle, O3SRL reaches reward 0.62-0.65 while staying safe, more than double CAPS (0.23) and FISOR (0.27).
- Increasing arms K from 2 to 5 improves rewards; K=10 gives only marginal gains over K=5.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use O3SRL instead of the safe baseline methods | Offline safe RL · DSRL tasks, cost threshold κ=5 | constraint satisfaction across tasks | Helped |
| Increase arm count from K=2 to K=5 (ablation) | O3SRL · BallRun | normalized reward: 0.20 -> 0.25 | Helped |
| Increase arm count from K=2 to K=5 (ablation) | O3SRL · AntRun | normalized reward: 0.24 -> 0.33 | Helped |
| Increase arm count from K=5 to K=10 (ablation) | O3SRL · CarRun | normalized reward: 0.96 -> 0.96 | No clear effect |
| Increase the maximum lambda value from C=2 to C=5 (ablation) | O3SRL · DroneCircle | normalized cost: 13.32 ± 2.62 -> 0.23 ± 0.34 | Helped |
| Increase the maximum lambda value from C=2 to C=5 (ablation) | O3SRL · DroneCircle | normalized reward: 0.79 ± 0.06 -> 0.49 ± 0.07 | Hurt |
| Use an adaptive rather than uniform lambda grid (ablation) | O3SRL · DroneCircle, κ=40 | normalized reward: 0.45 ± 0.03 -> 0.65 ± 0.11 | Helped |
| Use an adaptive rather than uniform lambda grid (ablation) | O3SRL · BallRun, κ=40 | normalized reward: 0.25 ± 0.01 -> 0.53 ± 0.48 | Mixed |
| Increase offline RL updates per lambda update from M=10 to M=100 (ablation) | O3SRL · DroneCircle | normalized cost: 0.23 ± 0.34 -> 4.87 ± 7.77 | Hurt |
| Replace TD3+BC with IQL as the base offline RL algorithm (ablation) | O3SRL · Circle tasks | normalized reward | Mixed |
Surprising findings
- Several baselines that achieve higher rewards (e.g., CDT on CarRun, CCAC on BallRun) do so by violating the cost constraint.
- A fixed-lambda offline RL alternative either ignores costs or sacrifices reward depending on the lambda chosen.
Limitations
- Theoretical guarantee for the practical version has rate sqrt(K/T)+1/K, slower than FTRL-based continuous no-regret rates (1/sqrt(T)).
- Reported results use a single stringent cost threshold in the main table; some tasks (e.g., AntRun, DroneRun) still show cost near or above threshold with high variance.
Experimental setup
Datasets: DSRL Bullet benchmark datasets Gymnasium Safety Suite (SafetyGym) datasets
Benchmarks: DSRL BallRun CarRun AntRun DroneRun BallCircle CarCircle AntCircle DroneCircle SafetyGym PointCircle1/2, AntVelocity, HalfCheetah, HopperVelocity, SwimmerVelocity, Walker2dVelocity
Metrics: normalized reward normalized cost reward/cost trade-off across cost limits
Baselines: BC-Safe BEAR-Lag CPQ COptiDICE CDT CCAC CAPS FISOR
Builds on: TD3+BC EXP3 BEAR-Lag FISOR
Closest papers by meaning
- Constraint-Adaptive Policy Switching for Offline Safe Reinforcement Learning (AAAI 2025 · similarity 0.93)
- Offline Safe Reinforcement Learning Using Trajectory Classification (AAAI 2025 · similarity 0.91)
- Worst-Case Offline Reinforcement Learning with Arbitrary Data Support (NeurIPS 2024 · similarity 0.91)
- Bayesian Design Principles for Offline-to-Online Reinforcement Learning (ICML 2024 · similarity 0.91)
- A Clean Slate for Offline Reinforcement Learning (NeurIPS 2025 · similarity 0.91)
- Latent Safety-Constrained Policy Approach for Safe Offline Reinforcement Learning (ICLR 2025 · similarity 0.91)
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