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Diffusion models generate data by learning to reverse a forward process, where samples are progressively perturbed with Gaussian noise according to a predefined noise schedule. From a geometric perspective, each noise schedule corresponds…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Teng Zhang , Hongxu Jiang , Kuang Gong , Wei Shao

It has been recognized that the data generated by the denoising diffusion probabilistic model (DDPM) improves adversarial training. After two years of rapid development in diffusion models, a question naturally arises: can better diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Zekai Wang , Tianyu Pang , Chao Du , Min Lin , Weiwei Liu , Shuicheng Yan

In many scientific fields, the generation and evolution of data are governed by partial differential equations (PDEs) which are typically informed by established physical laws at the macroscopic level to describe general and predictable…

Methodology · Statistics 2025-07-01 Ziyuan Chen , Shunxing Yan , Fang Yao

Advances in microscopy imaging enable researchers to visualize structures at the nanoscale level thereby unraveling intricate details of biological organization. However, challenges such as image noise, photobleaching of fluorophores, and…

Image and Video Processing · Electrical Eng. & Systems 2024-09-19 Pamela Osuna-Vargas , Maren H. Wehrheim , Lucas Zinz , Johanna Rahm , Ashwin Balakrishnan , Alexandra Kaminer , Mike Heilemann , Matthias Kaschube

Denoising Diffusion Probabilistic Models (DDPMs) have achieved remarkable success in various image generation tasks compared with Generative Adversarial Nets (GANs). Recent work on semantic image synthesis mainly follows the de facto…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Wengang Zhou , Weilun Wang , Jianmin Bao , Dongdong Chen , Dong Chen , Lu Yuan , Houqiang Li

Speech enhancement is a critical component of many user-oriented audio applications, yet current systems still suffer from distorted and unnatural outputs. While generative models have shown strong potential in speech synthesis, they are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-11 Yen-Ju Lu , Zhong-Qiu Wang , Shinji Watanabe , Alexander Richard , Cheng Yu , Yu Tsao

Diffusion Probabilistic Models (DPMs) have achieved significant success in generative tasks. However, their training and sampling processes suffer from the issue of distribution mismatch. During the denoising process, the input data…

Machine Learning · Computer Science 2025-02-25 Zekun Wang , Mingyang Yi , Shuchen Xue , Zhenguo Li , Ming Liu , Bing Qin , Zhi-Ming Ma

Starting with sets of disorganized observations of spatially varying and temporally evolving systems, obtained at different (also disorganized) sets of parameters, we demonstrate the data-driven derivation of parameter dependent,…

Dynamical Systems · Mathematics 2022-04-27 David W. Sroczynski , Felix P. Kemeth , Ronald R. Coifman , Ioannis G. Kevrekidis

Multi-modality image fusion aims to combine different modalities to produce fused images that retain the complementary features of each modality, such as functional highlights and texture details. To leverage strong generative priors and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Zixiang Zhao , Haowen Bai , Yuanzhi Zhu , Jiangshe Zhang , Shuang Xu , Yulun Zhang , Kai Zhang , Deyu Meng , Radu Timofte , Luc Van Gool

Diffusion models have shown remarkable performance on many generative tasks. Despite recent success, most diffusion models are restricted in that they only allow linear transformation of the data distribution. In contrast, broader family of…

Machine Learning · Computer Science 2024-06-04 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Simulating and controlling physical systems described by partial differential equations (PDEs) are crucial tasks across science and engineering. Recently, diffusion generative models have emerged as a competitive class of methods for these…

Machine Learning · Computer Science 2025-06-27 Peiyan Hu , Rui Wang , Xiang Zheng , Tao Zhang , Haodong Feng , Ruiqi Feng , Long Wei , Yue Wang , Zhi-Ming Ma , Tailin Wu

We present a data-driven control framework for partial differential equations (PDEs). Our approach integrates Time-Integrated Deep Operator Networks (TI-DeepONets) as differentiable PDE surrogate models within the Differentiable Predictive…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Dibakar Roy Sarkar , Ján Drgoňa , Somdatta Goswami

Denoising diffusion probabilistic models (DDPMs) have been proven capable of synthesizing high-quality images with remarkable diversity when trained on large amounts of data. However, to our knowledge, few-shot image generation tasks have…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Jingyuan Zhu , Huimin Ma , Jiansheng Chen , Jian Yuan

Massive random access is an important technology for achieving ultra-massive connectivity in next-generation wireless communication systems. It aims to address key challenges during the initial access phase, including active user detection…

Information Theory · Computer Science 2026-02-09 Keke Ying , Zhen Gao , Sheng Chen , Tony Q. S. Quek , H. Vincent Poor

Denoising diffusion probabilistic models (DDPMs) have achieved high quality image generation without adversarial training, yet they require simulating a Markov chain for many steps to produce a sample. To accelerate sampling, we present…

Machine Learning · Computer Science 2022-10-07 Jiaming Song , Chenlin Meng , Stefano Ermon

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

Numerical Analysis · Mathematics 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

In this paper, we consider a dynamic radio frequency sensing system aiming to spatially track multiple targets over time. We develop a conditional denoising diffusion probabilistic model (C-DDPM)-assisted framework that learns the temporal…

Signal Processing · Electrical Eng. & Systems 2025-10-30 Amirhossein Azarbahram , Onel L. A. López

Diffusion-based Deep Generative Models (DDGMs) offer state-of-the-art performance in generative modeling. Their main strength comes from their unique setup in which a model (the backward diffusion process) is trained to reverse the forward…

Machine Learning · Computer Science 2022-06-02 Kamil Deja , Anna Kuzina , Tomasz Trzciński , Jakub M. Tomczak

Constructing a highly accurate handwritten OCR system requires large amounts of representative training data, which is both time-consuming and expensive to collect. To mitigate the issue, we propose a denoising diffusion probabilistic model…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Haisong Ding , Bozhi Luan , Dongnan Gui , Kai Chen , Qiang Huo

Denoising diffusion models have become ubiquitous for generative modeling. The core idea is to transport the data distribution to a Gaussian by using a diffusion. Approximate samples from the data distribution are then obtained by…

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