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We present a concise, self-contained derivation of diffusion-based generative models. Starting from basic properties of Gaussian distributions (densities, quadratic expectations, re-parameterisation, products, and KL divergences), we…

机器学习 · 计算机科学 2025-11-18 Sepehr Maleki , Negar Pourmoazemi

Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

机器学习 · 计算机科学 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

Diffusion models have recently emerged as powerful tools for missing data imputation by modeling the joint distribution of observed and unobserved variables. However, existing methods, typically based on stochastic denoising diffusion…

人工智能 · 计算机科学 2025-08-06 Youran Zhou , Mohamed Reda Bouadjenek , Sunil Aryal

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a powerful family of generative models that can yield high-fidelity samples and competitive log-likelihoods across a range of domains, including image and speech synthesis.…

机器学习 · 计算机科学 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

In recent advancements in high-fidelity image generation, Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a key player. However, their application at high resolutions presents significant computational challenges. Current…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Jing Nathan Yan , Jiatao Gu , Alexander M. Rush

Diffusion Language Models (DLMs) have recently achieved strong results in text generation. However, their multi-step sampling leads to slow inference, limiting practical use. To address this, we extend Inverse Distillation, a technique…

Dataset expansion can effectively alleviate the problem of data scarcity for medical image segmentation, due to privacy concerns and labeling difficulties. However, existing expansion algorithms still face great challenges due to their…

图像与视频处理 · 电气工程与系统科学 2023-06-07 Shitong Shao , Xiaohan Yuan , Zhen Huang , Ziming Qiu , Shuai Wang , Kevin Zhou

Diffusion models have gained prominence in generating high-quality sequences of text. Nevertheless, current approaches predominantly represent discrete text within a continuous diffusion space, which incurs substantial computational…

机器学习 · 计算机科学 2023-10-17 Shansan Gong , Mukai Li , Jiangtao Feng , Zhiyong Wu , Lingpeng Kong

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…

图像与视频处理 · 电气工程与系统科学 2025-10-21 Teng Zhang , Hongxu Jiang , Kuang Gong , Wei Shao

The Diffusion Probabilistic Model (DPM) has recently gained popularity in the field of computer vision, thanks to its image generation applications, such as Imagen, Latent Diffusion Models, and Stable Diffusion, which have demonstrated…

图像与视频处理 · 电气工程与系统科学 2023-12-27 Junde Wu , Wei Ji , Huazhu Fu , Min Xu , Yueming Jin , Yanwu Xu

We develop a class of non-Gaussian translation processes that extend classical stochastic differential equations (SDEs) by prescribing arbitrary absolutely continuous marginal distributions. Our approach uses a copula-based transformation…

统计理论 · 数学 2025-08-06 Robert Richardson , H. Dennis Tolley , Kenneth Kuttler

We focus on the problem of estimating the change in the dependency structures of two $p$-dimensional Gaussian Graphical models (GGMs). Previous studies for sparse change estimation in GGMs involve expensive and difficult non-smooth…

机器学习 · 计算机科学 2018-05-24 Beilun Wang , Arshdeep Sekhon , Yanjun Qi

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…

计算机视觉与模式识别 · 计算机科学 2023-11-14 Zitong Cheng

Diffusion models have recently attained significant interest within the community owing to their strong performance as generative models. Furthermore, its application to inverse problems have demonstrated state-of-the-art performance.…

图像与视频处理 · 电气工程与系统科学 2022-03-22 Hyungjin Chung , Byeongsu Sim , Jong Chul Ye

Diffusion models represent a powerful family of generative models widely used for image and video generation. However, the time-consuming deployment, long inference time, and requirements on large memory hinder their applications on…

机器学习 · 计算机科学 2025-04-18 Kafeng Wang , Jianfei Chen , He Li , Zhenpeng Mi , Jun Zhu

Diffusion probabilistic models (DPMs) represent a class of powerful generative models. Despite their success, the inference of DPMs is expensive since it generally needs to iterate over thousands of timesteps. A key problem in the inference…

机器学习 · 计算机科学 2022-05-04 Fan Bao , Chongxuan Li , Jun Zhu , Bo Zhang

Diffusion models (DMs) are a class of generative machine learning methods that sample a target distribution by transforming samples of a trivial (often Gaussian) distribution using a learned stochastic differential equation. In standard…

统计力学 · 物理学 2024-08-15 Luke Causer , Grant M. Rotskoff , Juan P. Garrahan

The optimization of the latents and parameters of diffusion models with respect to some differentiable metric defined on the output of the model is a challenging and complex problem. The sampling for diffusion models is done by solving…

计算机视觉与模式识别 · 计算机科学 2025-02-13 Zander W. Blasingame , Chen Liu

Diffusion models have emerged as a prominent technique in generative modeling with neural networks, making their mark in tasks like text-to-image translation and super-resolution. In this tutorial, we provide a comprehensive guide to build…

图像与视频处理 · 电气工程与系统科学 2025-01-24 Harshith Bachimanchi , Giovanni Volpe

Diffusion Probabilistic Models (DPMs) suffer from inefficient inference due to their slow sampling and high memory consumption, which limits their applicability to various medical imaging applications. In this work, we propose a novel…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Fahim Ahmed Zaman , Mathews Jacob , Amanda Chang , Kan Liu , Milan Sonka , Xiaodong Wu