Value Gradient Guidance for Flow Matching Alignment
On the map: Diffusion models → Flow matching, time series and science
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Abstract (arXiv)
While methods exist for aligning flow matching models--a popular and effective class of generative models--with human preferences, existing approaches fail to achieve both adaptation efficiency and probabilistically sound prior preservation. In this work, we leverage the theory of optimal control and propose VGG-Flow, a gradient-matching-based method for finetuning pretrained flow matching models. The key idea behind this algorithm is that the optimal difference between the finetuned velocity field and the pretrained one should be matched with the gradient field of a value function. This method not only incorporates first-order information from the reward model but also benefits from heuristic initialization of the value function to enable fast adaptation. Empirically, we show on a popular text-to-image flow matching model, Stable Diffusion 3, that our method can finetune flow matching models under limited computational budgets while achieving effective and prior-preserving alignment.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 56 of its 79 references that are in the map. First posted on arXiv 4 Dec 2025.
Builds on
56 of 79 references.
Closest ancestors · 4
Same direction, newest first
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- 2023Practical and Asymptotically Exact Conditional Sampling in Diffusion Models30 Jun
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- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
Other references · 52
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- 2020Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path spacecited by 80
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Citing papers per year: 2026: 14.
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- 2026Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Modelscited by 5
- 2026Discrete Adjoint Schr"odinger Bridge Samplercited by 4
- 2026Q-Flow: Stable and Expressive Reinforcement Learning with Flow-Based Policycited by 4
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- 2026Drifting Preference Optimization for One-Step Generative Modelscited by 2
- 2026Q-VGM: Q-Guided Value-Gradient Matching for Offline-to-Online RL of Flow-Matching VLA Policiescited by 2
- 2026Solving Inverse Problems with Flow-based Models via Model Predictive Controlcited by 1
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- 2026Drifting Preference Optimization for One-Step Generative Models1 Jun 2026
- 2026Aligning Few-Step Generative Models by Amortizing Sample-based Variational Inference26 May 2026
- 2026Conflict-Aware Additive Guidance for Flow Models under Compositional Rewards20 May 2026
- 2026Q-Flow: Stable and Expressive Reinforcement Learning with Flow-Based Policy13 May 2026
- 2026Gradient-Free Noise Optimization for Reward Alignment in Generative Models12 May 2026
- 2026Inference-Time Attribute Distribution Alignment for Unconditional Diffusion8 May 2026
- 2026Improved techniques for fine-tuning flow models via adjoint matching: a deterministic control pipeline7 May 2026
- 2026Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Models19 Apr 2026
- 2026Discrete Adjoint Schr"odinger Bridge Sampler9 Feb 2026
- 2026Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Modelscited by 5
- 2026Inference-Time Attribute Distribution Alignment for Unconditional Diffusioncited by 2
- 2026Euphonium: Steering Video Flow Matching via Process Reward Gradient Guided Stochastic Dynamicscited by 1
- 2026VINE: Taming Generative Control Policies for Reinforcement Learningcited by 0
- 2026VINE: Taming Generative Control Policies for Reinforcement Learning11 Jul 2026
- 2026Inference-Time Attribute Distribution Alignment for Unconditional Diffusion8 May 2026
- 2026Reward Score Matching: Unifying Reward-based Fine-tuning for Flow and Diffusion Models19 Apr 2026
- 2026Euphonium: Steering Video Flow Matching via Process Reward Gradient Guided Stochastic Dynamics4 Feb 2026
- 2026Discrete Adjoint Schr"odinger Bridge Samplercited by 4
- 2026Q-Flow: Stable and Expressive Reinforcement Learning with Flow-Based Policycited by 4
- 2026Aligning Few-Step Generative Models by Amortizing Sample-based Variational Inferencecited by 3
- 2026Solving Inverse Problems with Flow-based Models via Model Predictive Controlcited by 1
- 2026Gradient-Free Noise Optimization for Reward Alignment in Generative Modelscited by 1
- 2026Conflict-Aware Additive Guidance for Flow Models under Compositional Rewardscited by 0
- 2026WTF?! Simulation-Free Reinforcement Learning with Wasserstein-Tilted Flow Mapscited by 0
- 2026WTF?! Simulation-Free Reinforcement Learning with Wasserstein-Tilted Flow Maps22 Sep 2026
- 2026Aligning Few-Step Generative Models by Amortizing Sample-based Variational Inference26 May 2026
- 2026Conflict-Aware Additive Guidance for Flow Models under Compositional Rewards20 May 2026
- 2026Q-Flow: Stable and Expressive Reinforcement Learning with Flow-Based Policy13 May 2026
- 2026Gradient-Free Noise Optimization for Reward Alignment in Generative Models12 May 2026
- 2026Discrete Adjoint Schr"odinger Bridge Sampler9 Feb 2026
- 2026Solving Inverse Problems with Flow-based Models via Model Predictive Control30 Jan 2026
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- 2026LeapAlign: Post-Training Flow Matching Models at Any Generation Step by Building Two-Step Trajectories
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- 2026Alignment of Diffusion Model and Flow Matching for Text-to-Image Generation
- 2023Flow Matching in Latent Space
- 2025On the Guidance of Flow Matching
- 2025Flow Matching in the Low-Noise Regime: Pathologies and a Contrastive Remedy
- 2026Better Source, Better Flow: Learning Condition-Dependent Source Distribution for Flow Matching
- 2025Fine-tuning Flow Matching Generative Models with Intermediate Feedback