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Density estimation is a versatile technique underlying many data mining tasks and techniques,ranging from exploration and presentation of static data, to probabilistic classification, or identifying changes or irregularities in streaming…

Machine Learning · Computer Science 2019-06-04 Georg Krempl , Dominik Lang , Vera Hofer

Denoising Diffusion Probabilistic Models (DDPMs) have gained great attention in adversarial purification. Current diffusion-based works focus on designing effective condition-guided mechanisms while ignoring a fundamental problem, i.e., the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Jiancheng Zhang , Peiran Dong , Yongyong Chen , Yin-Ping Zhao , Song Guo

Transforming large pre-trained low-resolution diffusion models to cater to higher-resolution demands, i.e., diffusion extrapolation, significantly improves diffusion adaptability. We propose tuning-free CutDiffusion, aimed at simplifying…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Mingbao Lin , Zhihang Lin , Wengyi Zhan , Liujuan Cao , Rongrong Ji

Diffusion models have become a leading method for generative modeling of both image and scientific data. As these models are costly to train and \emph{evaluate}, reducing the inference cost for diffusion models remains a major goal.…

Machine Learning · Computer Science 2025-12-01 Haoxuan Chen , Yinuo Ren , Lexing Ying , Grant M. Rotskoff

Denoising Diffusion Models (DDMs) have become a popular tool for generating high-quality samples from complex data distributions. These models are able to capture sophisticated patterns and structures in the data, and can generate samples…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Emanuele Aiello , Diego Valsesia , Enrico Magli

Diffusion-based inverse algorithms have shown remarkable performance across various inverse problems, yet their reliance on numerous denoising steps incurs high computational costs. While recent developments of fast diffusion ODE solvers…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Jiawei Zhang , Ziyuan Liu , Leon Yan , Gen Li , Yuantao Gu

Denoising Diffusion Probabilistic Models (DDPM) have recently gained significant attention. DDPMs compose a Markovian process that begins in the data domain and gradually adds noise until reaching pure white noise. DDPMs generate…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Shady Abu-Hussein , Raja Giryes

Recent years have witnessed the rapid progress and broad application of diffusion probabilistic models (DPMs). Sampling from DPMs can be viewed as solving an ordinary differential equation (ODE). Despite the promising performance, the…

Artificial Intelligence · Computer Science 2023-12-13 Enshu Liu , Xuefei Ning , Huazhong Yang , Yu Wang

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu

In this paper we investigate the use of Richardson extrapolation to estimate the convergence rates for numerical solutions to advection problems involving discontinuities. We use modified equation analysis to describe the expectation of the…

Numerical Analysis · Mathematics 2013-02-05 J. W. Banks , T. D. Aslam

For over a century, extrapolation methods have provided a powerful tool to improve the convergence order of a numerical method. However, these tools are not well-suited to modern computer codes, where multiple continua are discretised and…

Diffusion probabilistic models (DPMs) have been shown to generate high-quality images without the need for delicate adversarial training. However, the current sampling process in DPMs is prone to violent shaking. In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Xiyu Wang , Anh-Dung Dinh , Daochang Liu , Chang Xu

Limited by the encoder-decoder architecture, learning-based edge detectors usually have difficulty predicting edge maps that satisfy both correctness and crispness. With the recent success of the diffusion probabilistic model (DPM), we…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Yunfan Ye , Kai Xu , Yuhang Huang , Renjiao Yi , Zhiping Cai

Diffusion probabilistic models (DPMs) have shown remarkable performance in visual synthesis but are computationally expensive due to the need for multiple evaluations during the sampling. Recent predictor-corrector diffusion samplers have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Wenliang Zhao , Haolin Wang , Jie Zhou , Jiwen Lu

Diffusion models have demonstrated remarkable efficacy in generating high-quality samples. Existing diffusion-based image restoration algorithms exploit pre-trained diffusion models to leverage data priors, yet they still preserve elements…

Image and Video Processing · Electrical Eng. & Systems 2024-08-07 Hongjie Wu , Linchao He , Mingqin Zhang , Dongdong Chen , Kunming Luo , Mengting Luo , Ji-Zhe Zhou , Hu Chen , Jiancheng Lv

Diffusion models (DMs) have achieved state-of-the-art generative performance but suffer from high sampling latency due to their sequential denoising nature. Existing solver-based acceleration methods often face significant image quality…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Ruoyu Wang , Ziyu Li , Beier Zhu , Liangyu Yuan , Hanwang Zhang , Xun Yang , Xiaojun Chang , Chi Zhang

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.…

Machine Learning · Computer Science 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

Based on the Denoising Diffusion Probabilistic Model (DDPM), medical image segmentation can be described as a conditional image generation task, which allows to compute pixel-wise uncertainty maps of the segmentation and allows an implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-11-01 Xutao Guo , Yanwu Yang , Chenfei Ye , Shang Lu , Yang Xiang , Ting Ma

In this work, we study the application the classical Richardson extrapolation (RE) technique to accelerate the convergence of sequences resulting from linear multistep methods (LMMs) for solving initial-value problems of systems of ordinary…

Numerical Analysis · Mathematics 2022-06-22 Imre Fekete , Lajos Lóczi

Extrapolation remains a grand challenge in deep neural networks across all application domains. We propose an operator learning method to solve time-dependent partial differential equations (PDEs) continuously and with extrapolation in time…

Machine Learning · Computer Science 2023-12-12 Oded Ovadia , Vivek Oommen , Adar Kahana , Ahmad Peyvan , Eli Turkel , George Em Karniadakis