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Guided diffusion is a technique for conditioning the output of a diffusion model at sampling time without retraining the network for each specific task. One drawback of diffusion models, however, is their slow sampling process. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Suttisak Wizadwongsa , Supasorn Suwajanakorn

Despite the remarkable success of diffusion models in image generation, slow sampling remains a persistent issue. To accelerate the sampling process, prior studies have reformulated diffusion sampling as an ODE/SDE and introduced…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Suttisak Wizadwongsa , Worameth Chinchuthakun , Pramook Khungurn , Amit Raj , Supasorn Suwajanakorn

Recent years have witnessed the rapid progress and broad application of diffusion probabilistic models (DPMs). Sampling from DPMs can be viewed as solving an ordinary differential equation (ODE). Despite the promising performance, the…

Artificial Intelligence · Computer Science 2023-12-13 Enshu Liu , Xuefei Ning , Huazhong Yang , Yu Wang

Diffusion Probabilistic Models (DPMs) have achieved considerable success in generation tasks. As sampling from DPMs is equivalent to solving diffusion SDE or ODE which is time-consuming, numerous fast sampling methods built upon improved…

Machine Learning · Computer Science 2025-06-26 Shuchen Xue , Mingyang Yi , Weijian Luo , Shifeng Zhang , Jiacheng Sun , Zhenguo Li , Zhi-Ming Ma

Sampling from unnormalized target distributions is a fundamental yet challenging task in machine learning and statistics. Existing sampling algorithms typically require many iterative steps to produce high-quality samples, leading to high…

Machine Learning · Statistics 2026-02-27 Pascal Jutras-Dube , Jiaru Zhang , Ziran Wang , Ruqi Zhang

Flow diffusion models (FDMs) have recently shown potential in generation tasks due to the high generation quality. However, the current ordinary differential equation (ODE) solver for FDMs, e.g., the Euler solver, still suffers from slow…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Kaiyu Song , Hanjiang Lai

Diffusion and flow matching models generate high-fidelity data by simulating paths defined by Ordinary or Stochastic Differential Equations (ODEs/SDEs), starting from a tractable prior distribution. The probability flow ODE formulation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Liangyu Yuan , Ruoyu Wang , Tong Zhao , Dingwen Fu , Mingkun Lei , Beier Zhu , Chi Zhang

Diffusion probabilistic models (DPMs) are a key component in modern generative models. DPM-solvers have achieved reduced latency and enhanced quality significantly, but have posed challenges to find the exact inverse (i.e., finding the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Seongmin Hong , Kyeonghyun Lee , Suh Yoon Jeon , Hyewon Bae , Se Young Chun

Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise distribution transformation, which generally requires hundreds or thousands of steps of the inverse diffusion trajectory to get a high-quality image. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Zezeng Li , ShengHao Li , Zhanpeng Wang , Na Lei , Zhongxuan Luo , Xianfeng Gu

Discrete diffusion language models (dLLMs) have recently emerged as a promising alternative to traditional autoregressive approaches, offering the flexibility to generate tokens in arbitrary orders and the potential of parallel decoding.…

Machine Learning · Computer Science 2026-04-28 Enshu Liu , Xuefei Ning , Yu Wang , Zinan Lin

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) 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

Continuous normalizing flows (CNFs) and diffusion models (DMs) generate high-quality data from a noise distribution. However, their sampling process demands multiple iterations to solve an ordinary differential equation (ODE) with high…

Machine Learning · Computer Science 2025-11-19 Denis Gudovskiy , Wenzhao Zheng , Tomoyuki Okuno , Yohei Nakata , Kurt Keutzer

In applications of diffusion models, controllable generation is of practical significance, but is also challenging. Current methods for controllable generation primarily focus on modifying the score function of diffusion models, while Mean…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Ao Li , Wei Fang , Hongbo Zhao , Le Lu , Ge Yang , Minfeng Xu

Denoising Diffusion Probabilistic Models (DDPMs) have achieved impressive performance on various generation tasks. By modeling the reverse process of gradually diffusing the data distribution into a Gaussian distribution, generating a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Zhaoyang Lyu , Xudong XU , Ceyuan Yang , Dahua Lin , Bo Dai

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

The F\"ollmer process is a Brownian motion conditioned to have a pre-specified distribution at time 1. This process can be interpreted as an "augmented" time-compressed version of the reverse stochastic differential equation (SDE) for the…

Machine Learning · Statistics 2026-05-19 Yuta Koike

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

We provide the first polynomial-time convergence guarantees for the probability flow ODE implementation (together with a corrector step) of score-based generative modeling. Our analysis is carried out in the wake of recent results obtaining…

Machine Learning · Computer Science 2023-05-22 Sitan Chen , Sinho Chewi , Holden Lee , Yuanzhi Li , Jianfeng Lu , Adil Salim

Diffusion Probabilistic Models (DPM) have shown remarkable efficacy in the synthesis of high-quality images. However, their inference process characteristically requires numerous, potentially hundreds, of iterative steps, which could…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Mingxiao Li , Tingyu Qu , Ruicong Yao , Wei Sun , Marie-Francine Moens