Continuous-Time Distribution Matching for Few-Step Diffusion Distillation

Fuente: arXiv
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Autori principali: Liu, Tao, Yan, Hao, Chen, Mengting, Hu, Taihang, Yue, Zhengrong, Pan, Zihao, Lan, Jinsong, Zhu, Xiaoyong, Cheng, Ming-Ming, Zheng, Bo, Wang, Yaxing
Natura: Preprint
Pubblicazione: 2026
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author Liu, Tao
Yan, Hao
Chen, Mengting
Hu, Taihang
Yue, Zhengrong
Pan, Zihao
Lan, Jinsong
Zhu, Xiaoyong
Cheng, Ming-Ming
Zheng, Bo
Wang, Yaxing
author_facet Liu, Tao
Yan, Hao
Chen, Mengting
Hu, Taihang
Yue, Zhengrong
Pan, Zihao
Lan, Jinsong
Zhu, Xiaoyong
Cheng, Ming-Ming
Zheng, Bo
Wang, Yaxing
contents Step distillation has become a leading technique for accelerating diffusion models, among which Distribution Matching Distillation (DMD) and Consistency Distillation are two representative paradigms. While consistency methods enforce self-consistency along the full PF-ODE trajectory to steer it toward the clean data manifold, vanilla DMD relies on sparse supervision at a few predefined discrete timesteps. This restricted discrete-time formulation and mode-seeking nature of the reverse KL divergence tends to exhibit visual artifacts and over-smoothed outputs, often necessitating complex auxiliary modules -- such as GANs or reward models -- to restore visual fidelity. In this work, we introduce Continuous-Time Distribution Matching (CDM), migrating the DMD framework from discrete anchoring to continuous optimization for the first time. CDM achieves this through two continuous-time designs. First, we replace the fixed discrete schedule with a dynamic continuous schedule of random length, so that distribution matching is enforced at arbitrary points along sampling trajectories rather than only at a few fixed anchors. Second, we propose a continuous-time alignment objective that performs active off-trajectory matching on latents extrapolated via the student's velocity field, improving generalization and preserving fine visual details. Extensive experiments on different architectures, including SD3-Medium and Longcat-Image, demonstrate that CDM provides highly competitive visual fidelity for few-step image generation without relying on complex auxiliary objectives. Code is available at https://github.com/byliutao/cdm.
format Preprint
id arxiv_https___arxiv_org_abs_2605_06376
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Continuous-Time Distribution Matching for Few-Step Diffusion Distillation
Liu, Tao
Yan, Hao
Chen, Mengting
Hu, Taihang
Yue, Zhengrong
Pan, Zihao
Lan, Jinsong
Zhu, Xiaoyong
Cheng, Ming-Ming
Zheng, Bo
Wang, Yaxing
Computer Vision and Pattern Recognition
Artificial Intelligence
Step distillation has become a leading technique for accelerating diffusion models, among which Distribution Matching Distillation (DMD) and Consistency Distillation are two representative paradigms. While consistency methods enforce self-consistency along the full PF-ODE trajectory to steer it toward the clean data manifold, vanilla DMD relies on sparse supervision at a few predefined discrete timesteps. This restricted discrete-time formulation and mode-seeking nature of the reverse KL divergence tends to exhibit visual artifacts and over-smoothed outputs, often necessitating complex auxiliary modules -- such as GANs or reward models -- to restore visual fidelity. In this work, we introduce Continuous-Time Distribution Matching (CDM), migrating the DMD framework from discrete anchoring to continuous optimization for the first time. CDM achieves this through two continuous-time designs. First, we replace the fixed discrete schedule with a dynamic continuous schedule of random length, so that distribution matching is enforced at arbitrary points along sampling trajectories rather than only at a few fixed anchors. Second, we propose a continuous-time alignment objective that performs active off-trajectory matching on latents extrapolated via the student's velocity field, improving generalization and preserving fine visual details. Extensive experiments on different architectures, including SD3-Medium and Longcat-Image, demonstrate that CDM provides highly competitive visual fidelity for few-step image generation without relying on complex auxiliary objectives. Code is available at https://github.com/byliutao/cdm.
title Continuous-Time Distribution Matching for Few-Step Diffusion Distillation
topic Computer Vision and Pattern Recognition
Artificial Intelligence
url https://arxiv.org/abs/2605.06376