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Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Models
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Unifies many reward-based fine-tuning methods for flow/diffusion models as regression to a value-guided score (reward score matching) and uses the framework to redesign zeroth- and first-order methods for better compute efficiency.
Problem
Reward-based fine-tuning of diffusion and flow models is fragmented across soft RL, optimal control, direct reward backpropagation, and GFlowNet-style derivations, making it hard to tell which design choices matter.
Approach
Shows that many methods (Soft RL variants, VGG-Flow, DRaFT/DRaFT-K, ReFL, Adjoint Matching) share one L2 score-matching loss toward a reference score plus value guidance; they differ mainly in the value-guidance estimator (first-order current-state/lookahead vs zeroth-order policy-gradient lookahead) and in timestep-wise effective strength. Uses this to redesign budget allocation (zeroth-order) an
Key results
- Zeroth-order redesign on flow matching reaches GenEval 0.97 with an estimated 5x training-cost reduction relative to the reported TempFlow-GRPO baseline.
- Sparse branching allocation for zeroth-order diffusion (PCPO-based) improves the reward-KL tradeoff over the PCPO baseline with uniform K_i=1.
- Replacing local Tweedie first-order gradients with terminal-image reward gradients plus reversed low-SNR downweighting yields faster reward gains on SD3.5-M and SD1.5 with competitive reward-KL tradeoff.
Surprising findings
- Shallower lookahead estimators can outperform unbiased full-rollout estimators under finite compute.
- Learned residual correction terms (g_phi) in existing first-order methods are effectively negligible.
Limitations
- Does not eliminate reward hacking and does not establish robustness to reward misspecification.
- Does not cover offline preference-based objectives such as Diffusion-DPO.
- Some GenEval baseline results are reverse-engineered from a figure in a prior paper rather than rerun.
Experimental setup
Datasets: GenEval training prompts hpd_photo_painting prompts
Benchmarks: GenEval HPSv2.1 Aesthetic Score
Metrics: GenEval score aesthetic score KL divergence transition mean drift GPU hours
Baselines: TempFlow-GRPO VGG-Flow PCPO DRaFT-K ReFL Flow-GRPO
Builds on: DDPO DPOK Flow-GRPO DanceGRPO TempFlow-GRPO VGG-Flow DRaFT ReFL Adjoint Matching Residual nabla-DB
Closest papers by meaning
- Directly Fine-Tuning Diffusion Models on Differentiable Rewards (ICLR 2024 · similarity 0.90)
- Adjoint Matching: Fine-tuning Flow and Diffusion Generative Models with Memoryless Stochastic Optimal Control (ICLR 2025 · similarity 0.90)
- Scaling Reward Modeling without Human Supervision (NeurIPS 2026 · similarity 0.89)
- The Reward Was in Your Data All Along: Correcting Flow Matching with Discriminator-Guided RL. (NeurIPS 2026 · similarity 0.89)
- Confronting Reward Overoptimization for Diffusion Models: A Perspective of Inductive and Primacy Biases (ICML 2024 · similarity 0.89)
- Portable Reward Tuning: Towards Reusable Fine-Tuning across Different Pretrained Models (ICML 2025 · similarity 0.89)
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