Straighter Flow Matching via a Diffusion-Based Coupling Prior
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Flow matching as a paradigm of generative model achieves notable success across various domains. However, existing methods use either multi-round training or knowledge within minibatches, posing challenges in finding a favorable coupling strategy for straightening trajectories to few-step generation. To address this issue, we propose a novel approach, Straighter trajectories of Flow Matching (StraightFM). It straightens trajectories with the coupling strategy from the entire distribution level. More specifically, during training, StraightFM creates couplings of images and noise via one diffusion model as a coupling prior to straighten trajectories for few-step generation. Our coupling strategy can also integrate with the existing coupling direction from real data to noise, improving image quality in few-step generation. Experimental results on pixel space and latent space show that StraightFM yields attractive samples within 5 steps. Moreover, our unconditional StraightFM is seamlessly compatible with training-free multimodal conditional generation, maintaining high-quality image generation in few steps.
Key facts. Cited by 3 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 26 of its 43 references that are in the map. First posted on arXiv 28 Nov 2023.
Builds on
26 of 43 references.
Closest ancestors · 4
Same direction, newest first
- 2023Flow Matching in Latent Space17 Jul
- 2023Improving and generalizing flow-based generative models with minibatch optimal transport1 Feb
- 2022Flow Matching for Generative Modeling6 Oct
- 2022Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow7 Sep
Other references · 22
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- 2022Fast Sampling of Diffusion Models with Exponential Integratorcited by 526
10 more
- 2021Tackling the Generative Learning Trilemma with Denoising Diffusion GANscited by 515
- 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speedcited by 344
- 2023FreeDoM: Training-Free Energy-Guided Conditional Diffusion Modelcited by 290
- 2023Self-Consuming Generative Models Go MADcited by 239
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- 2019Image Processing Using Multi-Code GAN Priorcited by 185
- 2023Minimizing Trajectory Curvature of ODE-based Generative Modelscited by 87
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Built on by
Citing papers per year: 2024: 2; 2025: 1.
3 papers.
Similar, not cited
Close in wording, no citation either way
- 2024Optimal Flow Matching: Learning Straight Trajectories in Just One Step
- 2025LeDiFlow: Learned Distribution-guided Flow Matching to Accelerate Image Generation
- 2026ODE-free Neural Flow Matching for One-Step Generative Modeling
- 2025Learning Straight Flows by Learning Curved Interpolants
- 2025Learning Straight Flows: Variational Flow Matching for Efficient Generation
- 2023Bellman Optimal Stepsize Straightening of Flow-Matching Models
- 2026Look-Ahead and Look-Back Flows: Training-Free Image Generation with Trajectory Smoothing
- 2023Multisample Flow Matching: Straightening Flows with Minibatch Couplings