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Designing Reinforcement Learning for Diffusion Models: A Unified Path-Space View
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Unifies reverse-trajectory (Flow-GRPO-style) and forward-matching (AWM/DiffusionNFT) diffusion-RL losses via path-space importance sampling and a variance-reduced value-gradient form, then proposes a multi-sample KDE value-gradient estimator and scale-bounded weight families evaluated on SD3.5-M and Qwen-Image.
Problem
Diffusion RL algorithms are fragmented: reverse-trajectory methods use discretized likelihood ratios while forward-matching methods train on reward-labeled noised samples, with no unified view or principled design guidance.
Approach
Path-space importance sampling between SDEs with the same diffusion coefficient yields a policy gradient whose Itô-integral noise term equals a deterministic value-gradient term; this unifies Flow-GRPO, AWM and DiffusionNFT as instances of one five-knob design space, and a KDE estimator reuses the rollout group to reduce variance.
Key results
- KDE value-gradient estimator reduces variance by 67.5% relative to the deterministic one-sample estimator, while the stochastic estimator has 13.8x its variance (SD3.5-Medium, PickScore).
- On OCR reward the method converges 2x faster than AWM and 3x faster than DiffusionNFT.
- Ablation: the full recipe reaches 23.52 after 60 GPU hours versus 23.382 for original DiffusionNFT after 160 hours (about 3x faster).
Surprising findings
- Using the one-sample estimator with inherited weighting alone suffers instability and fails, so variance reduction by itself does not accelerate training; the weight reweighting is indispensable.
Limitations
- KDE bandwidth h != 1 introduces bias; h=1 unbiased but abrupt across steps, so practical h is tuned.
- Weight families chosen empirically; the scale-bounded principle does not select the optimal shape.
- Experiments limited to two models and a small set of rewards at 512x512 resolution with CFG disabled.
Experimental setup
Benchmarks: PickScore OCR GenEval HPSv3
Metrics: reward score training time to convergence estimator variance squared bias
Baselines: Flow-GRPO DanceGRPO TempFlow-GRPO GRPO-Guard AWM DiffusionNFT
Builds on: Flow-GRPO AWM DiffusionNFT GRPO Girsanov theorem
Closest papers by meaning
- TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment (NeurIPS 2026 · similarity 0.92)
- Diffusion Spectral Representation for Reinforcement Learning (NeurIPS 2024 · similarity 0.91)
- Prior-Guided Diffusion Planning for Offline Reinforcement Learning (NeurIPS 2025 · similarity 0.91)
- Diffusion-based Reinforcement Learning via Q-weighted Variational Policy Optimization (NeurIPS 2024 · similarity 0.90)
- Score Regularized Policy Optimization through Diffusion Behavior (ICLR 2024 · similarity 0.90)
- Composite Flow Matching for Reinforcement Learning with Shifted-Dynamics Data (NeurIPS 2025 · similarity 0.90)
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