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GDMD: Guiding Distribution Matching Distillation with Gradient-Based Reinforcement Learning
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Proposes GDMD, which uses DMD gradients (as implicit target tensors) rather than raw 4-step samples as the reward signal for RL-based joint distillation of diffusion models, improving few-step SDXL and SD3 generators.
Problem
Joint Distribution Matching Distillation and RL for few-step diffusion models suffers from unreliable sample-based rewards on noisy early-stage outputs and gradient conflicts between RL and DMD objectives, requiring cold-start stages.
Approach
Treat the DMD update target x_tar = G(z-) + (s_real - s_fake) as the object to score with existing reward models, converting the DMD gradient into an implicit target image; scores then weight a DiffusionNFT-style positive/negative preference loss, with gradient collection done from DMD's own randomness rather than SDE sampling.
Key results
- On SD3-Medium, GDMD 4-step reaches HP 0.3076 and ImageReward 1.2702 vs. DMDR* 0.2931 and 1.0120.
- On GenEval, GDMD (4 NFE) reaches overall 0.71 vs. 0.64 for DMDR and 0.62 for the multi-step SDXL teacher with CFG.
- Human study: GDMD preferred over the teacher by 55.1% and over DMDR by 62.7% in image quality.
Surprising findings
- 4-step GDMD students outperform their 50-step multi-step teacher (with CFG) on the reported metrics.
- Training only on CLIP and HPS rewards improves unseen metrics such as Aesthetic Score, Pick Score, and ImageReward.
Limitations
- Gradient-based scoring relies on the DMD fake-score estimator; the DMD gradient only reflects the teacher distribution and the reward signal is indirect.
- Evaluation is limited to two base models (SDXL, SD3-Medium) and CLIP/HPS training rewards.
- Compute, training iterations, and data sizes are not reported in the provided text.
Experimental setup
Datasets: text-to-image-2M ShareGPT-4o-Image
Benchmarks: GenEval ShareGPT-4o-Image prompts (CLIP Score, HP Score, Aesthetic Score, Pick Score, ImageReward)
Metrics: CLIP Score HP Score Aesthetic Score Pick Score ImageReward GenEval overall human preference win rate
Baselines: SDXL-Lightning LCM DMD DMD2 DMDR Hyper-SD Flash Diffusion TDM
Builds on: Distribution Matching Distillation DMDR DiffusionNFT DMD2 Flow-GRPO
Closest papers by meaning
- Designing Reinforcement Learning for Diffusion Models: A Unified Path-Space View (NeurIPS 2026 · similarity 0.87)
- TMPO: Trajectory Matching Policy Optimization for Diverse and Efficient Diffusion Alignment (NeurIPS 2026 · similarity 0.86)
- Distribution Backtracking Builds A Faster Convergence Trajectory for Diffusion Distillation (ICLR 2025 · similarity 0.86)
- Offline Behavior Distillation (NeurIPS 2024 · similarity 0.86)
- Diff-Instruct with Diffused Reward: Towards Principled One-step Generator RL (NeurIPS 2026 · similarity 0.86)
- Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Models (NeurIPS 2026 · similarity 0.86)
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