Learning Few-Step Diffusion Models by Trajectory Distribution Matching
On the map: Diffusion models → Diffusion foundations and sampling
Abstract (arXiv)
Accelerating diffusion model sampling is crucial for efficient AIGC deployment. While diffusion distillation methods -- based on distribution matching and trajectory matching -- reduce sampling to as few as one step, they fall short on complex tasks like text-to-image generation. Few-step generation offers a better balance between speed and quality, but existing approaches face a persistent trade-off: distribution matching lacks flexibility for multi-step sampling, while trajectory matching often yields suboptimal image quality. To bridge this gap, we propose learning few-step diffusion models by Trajectory Distribution Matching (TDM), a unified distillation paradigm that combines the strengths of distribution and trajectory matching. Our method introduces a data-free score distillation objective, aligning the student's trajectory with the teacher's at the distribution level. Further, we develop a sampling-steps-aware objective that decouples learning targets across different steps, enabling more adjustable sampling. This approach supports both deterministic sampling for superior image quality and flexible multi-step adaptation, achieving state-of-the-art performance with remarkable efficiency. Our model, TDM, outperforms existing methods on various backbones, such as SDXL and PixArt-α, delivering superior quality and significantly reduced training costs. In particular, our method distills PixArt-α into a 4-step generator that outperforms its teacher on real user preference at 1024 resolution. This is accomplished with 500 iterations and 2 A800 hours -- a mere 0.01% of the teacher's training cost. In addition, our proposed TDM can be extended to accelerate text-to-video diffusion. Notably, TDM can outperform its teacher model (CogVideoX-2B) by using only 4 NFE on VBench, improving the total score from 80.91 to 81.65. Project page: https://tdm-t2x.github.io/
Key facts. Cited by 57 papers in the map (data through 14 Oct 2026). Placed in Diffusion foundations and sampling, one of 14 directions in Diffusion models. Builds on 35 of its 41 references that are in the map. First posted on arXiv 9 Mar 2025.
Builds on
35 of 41 references.
Closest ancestors · 24
Same direction, newest first
- 2024One Step Diffusion via Shortcut Models16 Oct
- 2024Multistep Distillation of Diffusion Models via Moment Matching6 Jun
- 2024Improved Distribution Matching Distillation for Fast Image Synthesis23 May
- 2024Distilling Diffusion Models into Conditional GANs9 May
- 2024Hyper-SD: Trajectory Segmented Consistency Model for Efficient Image Synthesis21 Apr
- 2024Score identity Distillation: Exponentially Fast Distillation of Pretrained Diffusion Models for One-Step Generation5 Apr
- 2024You Only Sample Once: Taming One-Step Text-to-Image Synthesis by Self-Cooperative Diffusion GANs19 Mar
- 2023One-step Diffusion with Distribution Matching Distillation30 Nov
- 2023LCM-LoRA: A Universal Stable-Diffusion Acceleration Module9 Nov
- 2023Improved Techniques for Training Consistency Models22 Oct
- 2023Latent Consistency Models: Synthesizing High-Resolution Images with Few-Step Inference6 Oct
- 2023Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion1 Oct
12 more
- 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesis4 Jul
- 2023Diff-Instruct: A Universal Approach for Transferring Knowledge From Pre-trained Diffusion Models29 May
- 2023Consistency Models2 Mar
- 2022DPM-Solver++: Fast Solver for Guided Sampling of Diffusion Probabilistic Models2 Nov
- 2022On Distillation of Guided Diffusion Models6 Oct
- 2022DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps2 Jun
- 2022Analytic-DPM: an Analytic Estimate of the Optimal Reverse Variance in Diffusion Probabilistic Models17 Jan
- 2021High-Resolution Image Synthesis with Latent Diffusion Models20 Dec
- 2021Knowledge Distillation in Iterative Generative Models for Improved Sampling Speed7 Jan
- 2020Score-Based Generative Modeling through Stochastic Differential Equations26 Nov
- 2020Denoising Diffusion Implicit Models6 Oct
- 2020Denoising Diffusion Probabilistic Models19 Jun
Other references · 11
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,058
- 2022LAION-5B: An open large-scale dataset for training next generation image-text modelscited by 4,152
- 2021CLIPScore: A Reference-free Evaluation Metric for Image Captioningcited by 2,424
- 2024CogVideoX: Text-to-Video Diffusion Models with An Expert Transformercited by 2,261
- 2023VBench: Comprehensive Benchmark Suite for Video Generative Modelscited by 1,822
- 2023ProlificDreamer: High-Fidelity and Diverse Text-to-3D Generation with Variational Score Distillationcited by 1,219
- 2023Human Preference Score v2: A Solid Benchmark for Evaluating Human Preferences of Text-to-Image Synthesiscited by 890
- 2023InstaFlow: One Step is Enough for High-Quality Diffusion-Based Text-to-Image Generationcited by 395
- 2023UFOGen: You Forward Once Large Scale Text-to-Image Generation via Diffusion GANscited by 166
- 2023SwiftBrush: One-Step Text-to-Image Diffusion Model with Variational Score Distillationcited by 110
- 2024PeRFlow: Piecewise Rectified Flow as Universal Plug-and-Play Acceleratorcited by 97
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Citing papers per year: 2025: 14; 2026: 43.
57 papers.
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- 2026DefaultShift: Auditing Semantic Default Shift in Accelerated Text-to-Image Models22 Aug 2026
- 2026DynaForcing: Overcoming Dynamic Collapse in Self-Forcing Distillation for Streaming Avatar Generation18 Aug 2026
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- 2026AptAvatar: Fast and Vivid Long-Form Audio-Driven Video Generation for Production-Ready Avatars27 Jul 2026
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