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How do diffusion generative models convert pure noise into meaningful images? In a variety of pretrained diffusion models (including conditional latent space models like Stable Diffusion), we observe that the reverse diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Binxu Wang , John J. Vastola

Generative models such as Generative Adversarial Networks (GANs) and Variational Auto-Encoders (VAEs) are widely utilized to model the generative process of user interactions. However, these generative models suffer from intrinsic…

Information Retrieval · Computer Science 2025-06-26 Wenjie Wang , Yiyan Xu , Fuli Feng , Xinyu Lin , Xiangnan He , Tat-Seng Chua

We introduce Generalized Discrete Diffusion from Snapshots (GDDS), a unified framework for discrete diffusion modeling that supports arbitrary noising processes over large discrete state spaces. Our formulation encompasses all existing…

Machine Learning · Statistics 2026-03-24 Oussama Zekri , Théo Uscidda , Nicolas Boullé , Anna Korba

Diffusion models (DMs) are a powerful generative framework that have attracted significant attention in recent years. However, the high computational cost of training DMs limits their practical applications. In this paper, we start with a…

Machine Learning · Computer Science 2024-04-12 Tianshuo Xu , Peng Mi , Ruilin Wang , Yingcong Chen

Despite the proliferation of generative models, achieving fast sampling during inference without compromising sample diversity and quality remains challenging. Existing models such as Denoising Diffusion Probabilistic Models (DDPM) deliver…

Machine Learning · Computer Science 2023-10-12 Yanwu Xu , Mingming Gong , Shaoan Xie , Wei Wei , Matthias Grundmann , Kayhan Batmanghelich , Tingbo Hou

Diffusion (score-based) generative models have been widely used for modeling various types of complex data, including images, audios, and point clouds. Recently, the deep connection between forward-backward stochastic differential equations…

Machine Learning · Computer Science 2022-06-22 Weitao Du , Tao Yang , He Zhang , Yuanqi Du

Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

Generative diffusion models have recently emerged as a leading approach for generating high-dimensional data. In this paper, we show that the dynamics of these models exhibit a spontaneous symmetry breaking that divides the generative…

Machine Learning · Computer Science 2023-10-27 Gabriel Raya , Luca Ambrogioni

Diffusion models for continuous data gained widespread adoption owing to their high quality generation and control mechanisms. However, controllable diffusion on discrete data faces challenges given that continuous guidance methods do not…

This report presents the comprehensive implementation, evaluation, and optimization of Denoising Diffusion Probabilistic Models (DDPMs) and Denoising Diffusion Implicit Models (DDIMs), which are state-of-the-art generative models. During…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Jaineet Shah , Michael Gromis , Rickston Pinto

Previously, non-autoregressive models were widely perceived as being superior in generation efficiency but inferior in generation quality due to the difficulties of modeling multiple target modalities. To enhance the multi-modality modeling…

Computation and Language · Computer Science 2023-11-30 Lihua Qian , Mingxuan Wang , Yang Liu , Hao Zhou

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

Machine Learning · Computer Science 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

Discrete diffusion models have emerged as powerful tools for high-quality data generation. Despite their success in discrete spaces, such as text generation tasks, the acceleration of discrete diffusion models remains under-explored. In…

Machine Learning · Computer Science 2024-12-09 Zixiang Chen , Huizhuo Yuan , Yongqian Li , Yiwen Kou , Junkai Zhang , Quanquan Gu

Diffusion language models have recently emerged as a competitive alternative to autoregressive language models. Beyond next-token generation, they are more efficient and flexible by enabling parallel and any-order token generation. However,…

Machine Learning · Computer Science 2025-11-18 Chenxiao Yang , Cai Zhou , David Wipf , Zhiyuan Li

Diffusion models have established themselves as state-of-the-art generative models across various data modalities, including images and videos, due to their ability to accurately approximate complex data distributions. Unlike traditional…

Machine Learning · Computer Science 2025-10-23 Daniel Wesego

Diffusion models, a powerful and universal generative AI technology, have achieved tremendous success in computer vision, audio, reinforcement learning, and computational biology. In these applications, diffusion models provide flexible…

Machine Learning · Computer Science 2024-04-12 Minshuo Chen , Song Mei , Jianqing Fan , Mengdi Wang

We introduce the Fixed Point Diffusion Model (FPDM), a novel approach to image generation that integrates the concept of fixed point solving into the framework of diffusion-based generative modeling. Our approach embeds an implicit fixed…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Xingjian Bai , Luke Melas-Kyriazi

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

Methodology · Statistics 2020-07-28 Rahi Kalantari , Mingyuan Zhou

Creating graphic layouts is a fundamental step in graphic designs. In this work, we present a novel generative model named LayoutDiffusion for automatic layout generation. As layout is typically represented as a sequence of discrete tokens,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Junyi Zhang , Jiaqi Guo , Shizhao Sun , Jian-Guang Lou , Dongmei Zhang

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
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