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The past few years have witnessed the great success of Diffusion models~(DMs) in generating high-fidelity samples in generative modeling tasks. A major limitation of the DM is its notoriously slow sampling procedure which normally requires…

Machine Learning · Computer Science 2023-02-28 Qinsheng Zhang , Yongxin Chen

A potent class of generative models known as Diffusion Probabilistic Models (DPMs) has become prominent. A forward diffusion process adds gradually noise to data, while a model learns to gradually denoise. Sampling from pre-trained DPMs is…

Machine Learning · Computer Science 2023-10-27 Martin Gonzalez , Nelson Fernandez , Thuy Tran , Elies Gherbi , Hatem Hajri , Nader Masmoudi

Sampling from Diffusion Models can alternatively be seen as solving differential equations, where there is a challenge in balancing speed and image visual quality. ODE-based samplers offer rapid sampling time but reach a performance limit,…

Machine Learning · Computer Science 2025-02-28 Qinpeng Cui , Xinyi Zhang , Qiqi Bao , Qingmin Liao

Diffusion models (DMs) have made significant progress in the fields of image, audio, and video generation. One downside of DMs is their slow iterative process. Recent algorithms for fast sampling are designed from the perspective of…

Machine Learning · Statistics 2023-09-12 Shigui Li , Wei Chen , Delu Zeng

Recently, Zhang et al. have proposed the Diffusion Exponential Integrator Sampler (DEIS) for fast generation of samples from Diffusion Models. It leverages the semi-linear nature of the probability flow ordinary differential equation (ODE)…

Machine Learning · Computer Science 2023-11-13 Guoxuan Xia , Duolikun Danier , Ayan Das , Stathi Fotiadis , Farhang Nabiei , Ushnish Sengupta , Alberto Bernacchia

Though denoising diffusion probabilistic models (DDPMs) have achieved remarkable generation results, the low sampling efficiency of DDPMs still limits further applications. Since DDPMs can be formulated as diffusion ordinary differential…

Machine Learning · Computer Science 2025-11-04 Shengming Li , Luping Liu , Runnan Li , Xu Tan

Time-dependent partial differential equations (PDEs) are ubiquitous in science and engineering. Recently, mostly due to the high computational cost of traditional solution techniques, deep neural network based surrogates have gained…

Machine Learning · Computer Science 2023-10-24 Phillip Lippe , Bastiaan S. Veeling , Paris Perdikaris , Richard E. Turner , Johannes Brandstetter

A popular approach to sample a diffusion-based generative model is to solve an ordinary differential equation (ODE). In existing samplers, the coefficients of the ODE solvers are pre-determined by the ODE formulation, the reverse discrete…

Machine Learning · Computer Science 2023-10-04 Guoqiang Zhang , Niwa Kenta , W. Bastiaan Kleijn

Higher-order ODE solvers have become a standard tool for accelerating diffusion probabilistic model (DPM) sampling, motivating the widespread view that first-order methods are inherently slower and that increasing discretization order is…

Machine Learning · Statistics 2026-01-01 Yuchen Jiao , Na Li , Changxiao Cai , Gen Li

Diffusion models (DMs) have achieved state-of-the-art generative performance but suffer from high sampling latency due to their sequential denoising nature. Existing solver-based acceleration methods often face image quality degradation…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Beier Zhu , Ruoyu Wang , Tong Zhao , Hanwang Zhang , Chi Zhang

Diffusion modeling (DM) has high-quality generative performance, and the sampling problem is an important part of the DM performance. Thanks to efficient differential equation solvers, the sampling speed can be reduced while higher sampling…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Zitong Cheng

Abstract Diffusion models have recently gained prominence as a novel category of generative models. Despite their success, these models face a notable drawback in terms of slow sampling speeds, requiring a high number of function…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Sanghwan Kim , Hao Tang , Fisher Yu

Diffusion models have demonstrated remarkable generation quality but at the cost of numerous function evaluations. Recently, advanced ODE-based solvers have been developed to mitigate the substantial computational demands of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Shuai Wang , Zexian Li , Qipeng zhang , Tianhui Song , Xubin Li , Tiezheng Ge , Bo Zheng , Limin Wang

Diffusion models (DMs) create samples from a data distribution by starting from random noise and iteratively solving a reverse-time ordinary differential equation (ODE). Because each step in the iterative solution requires an expensive…

Machine Learning · Computer Science 2025-02-25 Eric Frankel , Sitan Chen , Jerry Li , Pang Wei Koh , Lillian J. Ratliff , Sewoong Oh

Sampling from diffusion models can be treated as solving the corresponding ordinary differential equations (ODEs), with the aim of obtaining an accurate solution with as few number of function evaluations (NFE) as possible. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zhenyu Zhou , Defang Chen , Can Wang , Chun Chen

Diffusion probabilistic models (DPMs) have exhibited excellent performance for high-fidelity image generation while suffering from inefficient sampling. Recent works accelerate the sampling procedure by proposing fast ODE solvers that…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Kaiwen Zheng , Cheng Lu , Jianfei Chen , Jun Zhu

Discrete diffusion models have emerged as a powerful generative modeling framework for discrete data with successful applications spanning from text generation to image synthesis. However, their deployment faces challenges due to the high…

Machine Learning · Computer Science 2025-12-01 Yinuo Ren , Haoxuan Chen , Yuchen Zhu , Wei Guo , Yongxin Chen , Grant M. Rotskoff , Molei Tao , Lexing Ying

Diffusion models suffer from slow sample generation at inference time. Therefore, developing a principled framework for fast deterministic/stochastic sampling for a broader class of diffusion models is a promising direction. We propose two…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Maja Rudolph , Stephan Mandt

Diffusion probabilistic models (DPMs) are emerging powerful generative models. Despite their high-quality generation performance, DPMs still suffer from their slow sampling as they generally need hundreds or thousands of sequential function…

Machine Learning · Computer Science 2022-10-17 Cheng Lu , Yuhao Zhou , Fan Bao , Jianfei Chen , Chongxuan Li , Jun Zhu

Recent advances in generative models, especially diffusion models, have significantly improved image restoration (IR) performance. However, existing problem-agnostic diffusion model-based image restoration (DMIR) methods face challenges in…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Chenxu Wu , Qingpeng Kong , Peiang Zhao , Wendi Yang , Wenxin Ma , Fenghe Tang , Zihang Jiang , S. Kevin Zhou
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