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Diffusion models excel in high-quality generation but suffer from slow inference due to iterative sampling. While recent methods have successfully transformed diffusion models into one-step generators, they neglect model size reduction,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Yuanzhi Zhu , Xingchao Liu , Qiang Liu

Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system…

Optimization and Control · Mathematics 2022-11-15 Sourya Dey

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…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Tao Liu , Hao Yan , Mengting Chen , Taihang Hu , Zhengrong Yue , Zihao Pan , Jinsong Lan , Xiaoyong Zhu , Ming-Ming Cheng , Bo Zheng , Yaxing Wang

Diffusion models have demonstrated exceptional performances in various fields of generative modeling, but suffer from slow sampling speed due to their iterative nature. While this issue is being addressed in continuous domains, discrete…

Machine Learning · Computer Science 2025-05-12 Satoshi Hayakawa , Yuhta Takida , Masaaki Imaizumi , Hiromi Wakaki , Yuki Mitsufuji

Data-driven approximations of the Koopman operator are promising for predicting the time evolution of systems characterized by complex dynamics. Among these methods, the approach known as extended dynamic mode decomposition with dictionary…

Machine Learning · Computer Science 2024-03-19 C. Ricardo Constante-Amores , Alec J. Linot , Michael D. Graham

Knowledge distillation is an effective and stable method for model compression via knowledge transfer. Conventional knowledge distillation (KD) is to transfer knowledge from a large and well pre-trained teacher network to a small student…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Zhiqiang Liu , Yanxia Liu , Chengkai Huang

Diffusion models (DMs) have achieved state-of-the-art results for image synthesis tasks as well as density estimation. Applied in the latent space of a powerful pretrained autoencoder (LDM), their immense computational requirements can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Jeremias Traub

We introduce Efficient Motion Diffusion Model (EMDM) for fast and high-quality human motion generation. Current state-of-the-art generative diffusion models have produced impressive results but struggle to achieve fast generation without…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Wenyang Zhou , Zhiyang Dou , Zeyu Cao , Zhouyingcheng Liao , Jingbo Wang , Wenjia Wang , Yuan Liu , Taku Komura , Wenping Wang , Lingjie Liu

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Diffusion models have achieved remarkable success in video generation; however, the high computational cost of the denoising process remains a major bottleneck. Existing approaches have shown promise in reducing the number of diffusion…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Xiao Liang , Yunzhu Zhang , Linchao Zhu

The inference latency of diffusion models remains a critical barrier to their real-time application. While trajectory-based and distribution-based step distillation methods offer solutions, they present a fundamental trade-off.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Hanbo Cheng , Peng Wang , Kaixiang Lei , Qi Li , Zhen Zou , Pengfei Hu , Jun Du

Discrete diffusion models offer a promising alternative to autoregressive generation through parallel decoding, but they suffer from a sampling wall: once categorical sampling occurs, rich distributional information collapses into one-hot…

Machine Learning · Computer Science 2026-05-14 Mingyu Jo , Jaesik Yoon , Justin Deschenaux , Caglar Gulcehre , Sungjin Ahn

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 · Computer Science 2025-02-17 Pascal Jutras-Dubé , Patrick Pynadath , Ruqi Zhang

Dynamic Mode Decomposition (DMD) describes complex dynamic processes through a hierarchy of simpler coherent features. DMD is regularly used to understand the fundamental characteristics of turbulence and is closely related to Koopman…

Fluid Dynamics · Physics 2023-02-01 Matthew J. Colbrook , Lorna J. Ayton , Máté Szőke

Standard Latent Diffusion Models rely on a complex, three-part architecture consisting of a separate encoder, decoder, and diffusion network, which are trained in multiple stages. This modular design is computationally inefficient, leads to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Xiyuan Wang , Muhan Zhang

Diffusion models (DMs) represent state-of-the-art generative models for continuous inputs. DMs work by constructing a Stochastic Differential Equation (SDE) in the input space (ie, position space), and using a neural network to reverse it.…

Machine Learning · Computer Science 2024-05-14 Tianrong Chen , Jiatao Gu , Laurent Dinh , Evangelos A. Theodorou , Joshua Susskind , Shuangfei Zhai

Reconstructing high-fidelity flow fields from low-fidelity observations is a central problem in scientific machine learning, yet recent diffusion and flow-matching models typically rely on iterative sampling, making them costly for…

Machine Learning · Computer Science 2026-05-08 Sicheng Ma , Tianyue Yang , Xiuzhe Wu , Xiao Xue

Timestep distillation is an effective approach for improving the generation efficiency of diffusion models. The Consistency Model (CM), as a trajectory-based framework, demonstrates significant potential due to its strong theoretical…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Bao Tang , Shuai Zhang , Yueting Zhu , Jijun Xiang , Xin Yang , Li Yu , Wenyu Liu , Xinggang Wang

Representing and predicting high-dimensional and spatiotemporally chaotic dynamical systems remains a fundamental challenge in dynamical systems and machine learning. Although data-driven models can achieve accurate short-term forecasts,…

Machine Learning · Computer Science 2026-02-17 Liangyu Su , Jun Shu , Rui Liu , Deyu Meng , Zongben Xu

We address the problem of fine-tuning diffusion models for reward-guided generation in biomolecular design. While diffusion models have proven highly effective in modeling complex, high-dimensional data distributions, real-world…

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