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Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian. Reversing this dynamic defines a generative model. When the forward noising process is given by a Stochastic Differential Equation (SDE),…

Machine Learning · Statistics 2023-04-06 Valentin De Bortoli , James Thornton , Jeremy Heng , Arnaud Doucet

Diffusion Transformer, the backbone of Sora for video generation, successfully scales the capacity of diffusion models, pioneering new avenues for high-fidelity sequential data generation. Unlike static data such as images, sequential data…

Machine Learning · Computer Science 2025-02-05 Hengyu Fu , Zehao Dou , Jiawei Guo , Mengdi Wang , Minshuo Chen

Earth system forecasting has traditionally relied on complex physical models that are computationally expensive and require significant domain expertise. In the past decade, the unprecedented increase in spatiotemporal Earth observation…

Machine Learning · Computer Science 2023-12-29 Zhihan Gao , Xingjian Shi , Boran Han , Hao Wang , Xiaoyong Jin , Danielle Maddix , Yi Zhu , Mu Li , Yuyang Wang

Employing a forward diffusion chain to gradually map the data to a noise distribution, diffusion-based generative models learn how to generate the data by inferring a reverse diffusion chain. However, this approach is slow and costly…

Machine Learning · Statistics 2023-09-08 Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Speech super-resolution (SR) is the task that restores high-resolution speech from low-resolution input. Existing models employ simulated data and constrained experimental settings, which limit generalization to real-world SR. Predictive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Heming Wang , Eric W. Healy , DeLiang Wang

The evolutionary processes of complex systems contain critical information regarding their functional characteristics. The generation time of edges provides insights into the historical evolution of various networked complex systems, such…

Artificial Intelligence · Computer Science 2025-01-14 En Xu , Can Rong , Jingtao Ding , Yong Li

We propose in this paper an analytically new construct of a diffusion model whose drift and diffusion parameters yield an exponentially time-decaying Signal to Noise Ratio in the forward process. In reverse, the construct cleverly carries…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Tanmay Asthana , Yufang Bao , Hamid Krim

Purpose: To propose a domain-conditioned and temporal-guided diffusion modeling method, termed dynamic Diffusion Modeling (dDiMo), for accelerated dynamic MRI reconstruction, enabling diffusion process to characterize spatiotemporal…

Image and Video Processing · Electrical Eng. & Systems 2025-01-17 Liping Zhang , Iris Yuwen Zhou , Sydney B. Montesi , Li Feng , Fang Liu

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

Chaotic Dynamics · Physics 2016-03-23 Tyrus Berry , John Harlim

Multivariate time series imputation is fundamental in applications such as healthcare, traffic forecasting, and biological modeling, where sensor failures and irregular sampling lead to pervasive missing values. However, existing…

Machine Learning · Computer Science 2025-12-18 Runze Li , Hanchen Wang , Wenjie Zhang , Binghao Li , Yu Zhang , Xuemin Lin , Ying Zhang

Diffusion models have quickly risen in popularity for their ability to model complex distributions and perform effective posterior sampling. Unfortunately, the iterative nature of these generative models makes them computationally expensive…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tristan S. W. Stevens , Oisín Nolan , Jean-Luc Robert , Ruud J. G. van Sloun

Remote sensing change detection is often challenged by spatial misalignment between bi-temporal images, especially when acquisitions are separated by long seasonal or multi-year gaps. While modern convolutional and transformer-based models…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Seyedehanita Madani , Vishal M. Patel

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

World models have recently gained prominence for action-conditioned visual prediction in complex environments. However, relying on only a few recent observations causes them to lose long-term context. Consequently, within a few steps, the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Nedko Savov , Naser Kazemi , Deheng Zhang , Danda Pani Paudel , Xi Wang , Luc Van Gool

We propose a new class of generative models that naturally handle data of varying dimensionality by jointly modeling the state and dimension of each datapoint. The generative process is formulated as a jump diffusion process that makes…

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Generative modeling has drawn much attention in creative and scientific data generation tasks. Score-based Diffusion Models, a type of generative model that iteratively learns to denoise data, have shown state-of-the-art results on tasks…

Robotics · Computer Science 2024-05-21 Tyler Presser , Agnimitra Dasgupta , Daniel Erwin , Assad Oberai

Compositional generalization requires models to produce novel configurations from familiar parts. In diffusion models, prior compositional generation methods typically assume that the relevant concepts or conditioning signals are already…

Machine Learning · Computer Science 2026-05-11 Zekun Wang , Anant Gupta , Tianyi Zhu , Christopher J. MacLellan

Diffusion Transformers (DiT) have emerged as a widely adopted backbone for high-fidelity image and video generation, yet their iterative denoising process incurs high computational costs. Existing training-free acceleration methods rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Hanshuai Cui , Zhiqing Tang , Qianli Ma , Zhi Yao , Weijia Jia