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Trust Region Q Adjoint Matching
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Proposes TRQAM, which adapts a trust-region parameter λ inside the memoryless SOC sampling process of Q Adjoint Matching via projected dual descent to enforce a target path-space KL bound, improving offline and offline-to-online RL on 50 OGBench tasks.
Problem
Off-policy fine-tuning of pretrained flow policies is unstable because imperfect learned critics, amplified by fixed-temperature critic-guided adjoint matching, cause large policy deviations and collapse.
Approach
Scale the control term in the memoryless SOC SDE by a trust-region parameter λ, which by Girsanov's theorem makes λ the exact weight of path-space KL in the SOC objective; adapt λ by projected dual descent to track a prescribed KL budget, instead of adding a loss-level KL penalty.
Key results
- TRQAM achieves 68% aggregate offline RL success across 50 OGBench tasks, versus 46% for DSRL, 45% for QAM-E and 35% for QAM.
- On Robomimic, fixed-temperature QAM and QAM-E show diverging adjoint loss (above 1e20) and task collapse, while TRQAM remains stable.
- TRQAM outperforms all baselines in offline-to-online RL and tightly tracks the target KL bound, while QAM with an external KL penalty drifts above the bound.
Surprising findings
- Tight KL budgets are best on most tasks, with puzzle-4x4 as the exception where larger budgets help.
- Gradient clipping does not prevent the adjoint-loss collapse of fixed-temperature QAM on Robomimic.
Limitations
- Relies on the terminal KL being approximated by the path-space KL estimator and on the assumption that AM reaches the tilted optimum.
- Best epsilon_KL varies by domain and requires per-domain tuning on tuning tasks.
- Antmaze-giant uses a time-varying KL schedule chosen by hand.
Experimental setup
Datasets: OGBench Robomimic
Benchmarks: OGBench Robomimic
Metrics: success rate
Baselines: FQL CGQL-Linex DSRL IFQL QAM QAM-E
Builds on: Q-learning with Adjoint Matching Adjoint Matching flow Q-learning DSRL Girsanov's theorem
Closest papers by meaning
- Aligning Flow Map Policies with Optimal $Q$-Guidance (NeurIPS 2026 · similarity 0.89)
- Flow Matching for Offline Reinforcement Learning with Discrete Actions (NeurIPS 2026 · similarity 0.89)
- Flow Q-Learning (ICML 2025 · similarity 0.88)
- Flow Matching Policy Optimization with Mirror Descent and Entropy Constraints (NeurIPS 2026 · similarity 0.87)
- Diffusion Policies Creating a Trust Region for Offline Reinforcement Learning (NeurIPS 2024 · similarity 0.87)
- Adversarial Policy Optimization for Offline Preference-based Reinforcement Learning (ICLR 2025 · similarity 0.87)
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