Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Models
On the map: Diffusion models → Diffusion and flow policies for robotics
Abstract (arXiv)
Reward-based fine-tuning steers a pretrained diffusion or flow-based generative model toward higher-reward samples while remaining close to the pretrained model. Although existing methods are derived from different perspectives, we show that many can be written under a common framework, which we call reward score matching (RSM). Under this view, alignment becomes score matching against a value-guided target, and the main differences across methods reduce to the construction of the value-guidance estimator and the effective optimization strength across timesteps. This unification clarifies the bias-variance-compute tradeoffs of existing designs, and distinguishes core optimization components from auxiliary mechanisms that add complexity without clear benefit. Guided by this perspective, we develop simpler, more efficient redesigns across representative differentiable and black-box reward alignment tasks. Overall, RSM turns a seemingly fragmented collection of reward-based fine-tuning methods into a smaller, more interpretable, and more actionable design space. Code is available at https://github.com/jaylee2000/rsm.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in Diffusion and flow policies for robotics, one of 14 directions in Diffusion models. Builds on 51 of its 60 references that are in the map. First posted on arXiv 19 Apr 2026.
Builds on
51 of 60 references.
Closest ancestors · 22
Same direction, newest first
- 2026Diamond Maps: Efficient Reward Alignment via Stochastic Flow Maps5 Feb
- 2026Rethinking the Design Space of Reinforcement Learning for Diffusion Models: On the Importance of Likelihood Estimation Beyond Loss Design4 Feb
- 2025Diffusion Fine-Tuning via Reparameterized Policy Gradient of the Soft Q-Function4 Dec
- 2025GRPO-Guard: Mitigating Implicit Over-Optimization in Flow Matching via Regulated Clipping25 Oct
- 2025DiffusionNFT: Online Diffusion Reinforcement with Forward Process19 Sep
- 2025BranchGRPO: Stable and Efficient GRPO with Structured Branching in Diffusion Models7 Sep
- 2025Coefficients-Preserving Sampling for Reinforcement Learning with Flow Matching7 Sep
- 2025TempFlow-GRPO: When Timing Matters for GRPO in Flow Models6 Aug
- 2025MixGRPO: Unlocking Flow-based GRPO Efficiency with Mixed ODE-SDE29 Jul
- 2025Nabla-R2D3: Effective and Efficient 3D Diffusion Alignment with 2D Rewards18 Jun
- 2025Flow-GRPO: Training Flow Matching Models via Online RL8 May
- 2025Score as Action: Fine-Tuning Diffusion Generative Models by Continuous-time Reinforcement Learning3 Feb
10 more
- 2025Half-order Fine-Tuning for Diffusion Model: A Recursive Likelihood Ratio Optimizer2 Feb
- 2024Efficient Diversity-Preserving Diffusion Alignment via Gradient-Informed GFlowNets10 Dec
- 2024Adjoint Matching: Fine-tuning Flow and Diffusion Generative Models with Memoryless Stochastic Optimal Control13 Sep
- 2024Understanding Reinforcement Learning-Based Fine-Tuning of Diffusion Models: A Tutorial and Review18 Jul
- 2024Improving GFlowNets for Text-to-Image Diffusion Alignment2 Jun
- 2024Inference-Time Alignment of Diffusion Models with Direct Noise Optimization29 May
- 2024Fine-Tuning of Continuous-Time Diffusion Models as Entropy-Regularized Control23 Feb
- 2023Diffusion Model Alignment Using Direct Preference Optimization21 Nov
- 2023Directly Fine-Tuning Diffusion Models on Differentiable Rewards29 Sep
- 2023Training Diffusion Models with Reinforcement Learning22 May
Other references · 29
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,863
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,380
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 9,122
- 2022Classifier-Free Diffusion Guidancecited by 5,847
- 2022Flow Matching for Generative Modelingcited by 5,702
- 2024Scaling Rectified Flow Transformers for High-Resolution Image Synthesiscited by 4,181
- 2022DreamFusion: Text-to-3D using 2D Diffusioncited by 3,025
- 2015Trust Region Policy Optimizationcited by 2,580
- 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,416
- 2018On the Spectral Bias of Neural Networkscited by 1,341
- 2023ImageReward: Learning and Evaluating Human Preferences for Text-to-Image Generationcited by 1,045
17 more
- 2023Pick-a-Pic: An Open Dataset of User Preferences for Text-to-Image Generationcited by 977
- 2023GenEval: An Object-Focused Framework for Evaluating Text-to-Image Alignmentcited by 972
- 2023Stochastic Interpolants: A Unifying Framework for Flows and Diffusionscited by 939
- 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Modelscited by 938
- 2023Human Preference Score v2: A Solid Benchmark for Evaluating Human Preferences of Text-to-Image Synthesiscited by 890
- 2023DreamSim: Learning New Dimensions of Human Visual Similarity using Synthetic Datacited by 337
- 2022Perception Prioritized Training of Diffusion Modelscited by 303
- 2023FreeDoM: Training-Free Energy-Guided Conditional Diffusion Modelcited by 294
- 2017A unified view of entropy-regularized Markov decision processescited by 182
- 2017Equivalence Between Policy Gradients and Soft Q-Learningcited by 173
- 2025Inference-Time Alignment in Diffusion Models with Reward-Guided Generation: Tutorial and Reviewcited by 88
- 2023Better Training of GFlowNets with Local Credit and Incomplete Trajectoriescited by 85
- 2025Advantage Weighted Matching: Aligning RL with Pretraining in Diffusion Modelscited by 67
- 2021Bayesian Learning via Neural Schr"odinger-F"ollmer Flowscited by 56
- 2023PPO-Clip Attains Global Optimality: Towards Deeper Understandings of Clippingcited by 17
- 2025Value Gradient Guidance for Flow Matching Alignmentcited by 14
- 2022Connecting Stochastic Optimal Control and Reinforcement Learningcited by 5
Built on by
Citing papers per year: 2026: 7.
7 papers.
- 2026Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipelinecited by 5
- 2026Designing Reinforcement Learning for Diffusion Models: A Unified Path-Space Viewcited by 3
- 2026Scaling Reinforcement Learning for Diffusion Models via Velocity Matchingcited by 3
- 2026DOHF: Online Diffusion Fine-tuning with Doob's h-transform Guidancecited by 1
- 2026FestDPO: Few-step Generator Alignment with Direct Preference Optimizationcited by 0
- 2026Geometry-Aware Preference Optimization for Text-to-Image Diffusion Modelscited by 0
- 2026GuidanceNFT: NFT-Based Reward Fine-Tuning of Guided Diffusion Modelscited by 0
- 2026GuidanceNFT: NFT-Based Reward Fine-Tuning of Guided Diffusion Models11 Oct 2026
- 2026Geometry-Aware Preference Optimization for Text-to-Image Diffusion Models4 Oct 2026
- 2026FestDPO: Few-step Generator Alignment with Direct Preference Optimization28 Sep 2026
- 2026DOHF: Online Diffusion Fine-tuning with Doob's h-transform Guidance25 Sep 2026
- 2026Scaling Reinforcement Learning for Diffusion Models via Velocity Matching24 Aug 2026
- 2026Designing Reinforcement Learning for Diffusion Models: A Unified Path-Space View14 Aug 2026
- 2026Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipeline7 May 2026
Similar, not cited
Close in wording, no citation either way
- 2026Reward Sharpness-Aware Fine-Tuning for Diffusion Models
- 2026CRAFT: Aligning Diffusion Models with Fine-Tuning Is Easier Than You Think
- 2026Scaling Reward Modeling without Human Supervision
- 2026A unified perspective on fine-tuning and sampling with diffusion and flow models
- 2026Are we really tilting? The mechanics of reward guidance in flow and diffusion models
- 2026MARBLE: Multi-Aspect Reward Balance for Diffusion RL
- 2026Pareto-Guided Optimal Transport for Multi-Reward Alignment
- 2025PIRF: Physics-Informed Reward Fine-Tuning for Diffusion Models