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Offline RL with Smooth OOD Generalization in Convex Hull and its Neighborhood
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Proposes SQOG, which improves offline RL Q-value estimation by smoothing OOD Q-targets within the convex hull and its neighborhood (CHN) using neighboring in-sample Q-values, achieving SOTA on D4RL with low compute.
Problem
Offline RL suffers from Q-value overestimation for out-of-distribution actions, and existing constraint methods become over-conservative in OOD regions, underestimating Q-values and hurting policy evaluation and improvement.
Approach
Defines a convex hull and its neighborhood (CHN) of dataset state-action pairs as a safe region for Q generalization, and introduces a Smooth Bellman Operator that sets OOD Q-values in the CHN to those of nearby in-sample actions; practically implemented by adding noise to dataset actions and regressing Q(s, a+noise) toward Q(s, a) on top of TD3+BC.
Key results
- SQOG achieves the highest Mujoco average (70.7) among compared methods, vs. MCQ 68.4 and TD3+BC 58.2 on D4RL.
- On Maze2d, SQOG averages 124.7 vs. MCQ 102.2; on Adroit total SQOG gets 149.6 vs. MCQ 123.3.
- SQOG runs in 0.4 h versus 8.0 h for MCQ on the 1M-step benchmark runs, roughly 20x faster.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SQOG instead of MCQ | D4RL Mujoco tasks · Mujoco Average | normalized average score: 68.4 -> 70.7 | Helped |
| Use SQOG instead of MCQ | D4RL Maze2d tasks · Maze2d Average | normalized average score: 102.2 -> 124.7 | Helped |
| Use SQOG instead of MCQ | D4RL Adroit tasks · Adroit Total | normalized total score: 123.3 -> 149.6 | Helped |
| Use SQOG instead of MCQ | Mujoco locomotion training · D4RL Mujoco | runtime (h): 8.0 -> 0.4 | Helped |
| Set α=300 instead of α=150 (ablation) | SQOG · Mujoco Average | normalized average score: 79.7 -> 61.4 | Hurt |
| Set α=200 instead of α=150 (ablation) | SQOG · Mujoco Average | normalized average score: 79.7 -> 68.2 | Hurt |
| Set α=100 instead of α=150 (ablation) | SQOG · Mujoco Average | normalized average score: 79.7 -> 70.8 | Hurt |
| Set α=50 instead of α=150 (ablation) | SQOG · Mujoco Average | normalized average score: 79.7 -> 65.8 | Hurt |
| Set α=200 instead of α=150 (ablation) | SQOG · halfcheetah-medium-v2 | normalized average score: 59.2±2.4 -> 57.7±1.6 | No clear effect |
| Set α=50 instead of α=150 (ablation) | SQOG · halfcheetah-medium-v2 | normalized average score: 59.2±2.4 -> 51.1±0.4 | Hurt |
| Set α=200 instead of α=150 (ablation) | SQOG · hopper-medium-v2 | normalized average score: 100.6±0.7 -> 91.6±6.0 | No clear effect |
| Use normal noise with clipping instead of uniform noise (ablation) | SQOG OOD action sampling · hopper-medium-v2, hopper-medium-replay-v2, halfcheetah-medium-v2 | normalized average score | Helped |
Surprising findings
- Hopper-medium-v2 result is ~70% above TD3+BC, while SQOG underperforms MCQ and DOGE on several datasets such as hopper-random and walker2d-medium.
Limitations
- Theoretical guarantees rely on NTK regime with infinite-width two-layer ReLU networks and on assumptions like OOD actions staying within the CHN.
- The method does not address OOD actions far outside the CHN.
- Performance is mixed: SQOG is below MCQ on hopper-random and halfcheetah-medium-dense-type settings and on several Adroit datasets.
Experimental setup
Datasets: D4RL halfcheetah D4RL hopper D4RL walker2d D4RL maze2d D4RL adroit Inverted Double Pendulum dataset from SAC policy
Benchmarks: D4RL
Metrics: normalized average score run time (h)
Baselines: BC TD3+BC CQL IQL DOGE MCQ BCQ
Builds on: TD3+BC DOGE MCQ
Closest papers by meaning
- A Perspective of Q-value Estimation on Offline-to-Online Reinforcement Learning (AAAI 2024 · similarity 0.90)
- Adaptive Neighborhood-Constrained Q Learning for Offline Reinforcement Learning (NeurIPS 2025 · similarity 0.89)
- On the Complexity of Offline Reinforcement Learning with Q*-Approximation and Partial Coverage (NeurIPS 2026 · similarity 0.89)
- Generative OOD-regularized Model-based Policy Optimization (NeurIPS 2026 · similarity 0.89)
- Doubly Mild Generalization for Offline Reinforcement Learning (NeurIPS 2024 · similarity 0.89)
- Exclusively Penalized Q-learning for Offline Reinforcement Learning (NeurIPS 2024 · similarity 0.88)
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