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Anisotropic diffusion processes with a diffusion tensor are important in image analysis, physics, and engineering. However, their numerical approximation has a strong impact on dissipative artefacts and deviations from rotation invariance.…

数值分析 · 数学 2024-04-09 Karl Schrader , Joachim Weickert , Michael Krause

We systematically study antithetic initial noise in diffusion models, discovering that pairing each noise sample with its negation consistently produces strong negative correlation. This universal phenomenon holds across datasets, model…

机器学习 · 计算机科学 2026-02-02 Jing Jia , Sifan Liu , Bowen Song , Wei Yuan , Liyue Shen , Guanyang Wang

While diffusion-based generative models have made significant strides in visual content creation, conventional approaches face computational challenges, especially for high-resolution images, as they denoise the entire image from noisy…

计算机视觉与模式识别 · 计算机科学 2025-07-01 Haohang Xu , Longyu Chen , Yichen Zhang , Shuangrui Ding , Zhipeng Zhang

Diffusion frameworks have achieved comparable performance with previous state-of-the-art image generation models. Researchers are curious about its variants in discriminative tasks because of its powerful noise-to-image denoising pipeline.…

计算机视觉与模式识别 · 计算机科学 2022-12-29 Zhangxuan Gu , Haoxing Chen , Zhuoer Xu , Jun Lan , Changhua Meng , Weiqiang Wang

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

机器学习 · 计算机科学 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

Diffusion models excel at generating high-quality, diverse images but suffer from training data memorization, raising critical privacy and safety concerns. Data unlearning has emerged to mitigate this issue by removing the influence of…

机器学习 · 计算机科学 2026-03-31 Qitan Shi , Cheng Jin , Jiawei Zhang , Yuantao Gu

With the development of deep learning, speech enhancement has been greatly optimized in terms of speech quality. Previous methods typically focus on the discriminative supervised learning or generative modeling, which tends to introduce…

音频与语音处理 · 电气工程与系统科学 2025-10-31 Nan Xu , Zhaolong Huang , Xiaonan Zhi

Recently, the rectified flow (RF) has emerged as the new state-of-the-art among flow-based diffusion models due to its high efficiency advantage in straight path sampling, especially with the amazing images generated by a series of RF…

计算机视觉与模式识别 · 计算机科学 2025-06-11 Zhiyuan Ma , Ruixun Liu , Sixian Liu , Jianjun Li , Bowen Zhou

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems on unstructured irregular grids, which simultaneously gives an approximation of the solution and of its gradient. In the case of simplicial meshes, the…

数值分析 · 数学 2016-08-16 Jérôme Droniou , Robert Eymard

Score-based generative models, commonly referred to as diffusion models, have proven to be successful at generating text and image data. However, their adaptation to mixed-type tabular data remains underexplored. In this work, we propose…

机器学习 · 计算机科学 2026-03-27 Markus Mueller , Kathrin Gruber , Dennis Fok

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…

信号处理 · 电气工程与系统科学 2025-10-30 Amirhossein Azarbahram , Onel L. A. López

We propose an adaptive diffusion mechanism to optimize a global cost function in a distributed manner over a network of nodes. The cost function is assumed to consist of a collection of individual components. Diffusion adaptation allows the…

最优化与控制 · 数学 2015-06-03 Jianshu Chen , Ali H. Sayed

In tracking of time-varying low-rank models of time-varying matrices, we present a method robust to both uniformly-distributed measurement noise and arbitrarily-distributed ``sparse'' noise. In theory, we bound the tracking error. In…

最优化与控制 · 数学 2020-02-05 Albert Akhriev , Jakub Marecek , Andrea Simonetto

Diffusion-based methods represented as stochastic differential equations on a continuous-time domain have recently proven successful as a non-adversarial generative model. Training such models relies on denoising score matching, which can…

机器学习 · 计算机科学 2024-11-05 Sarthak Mittal , Korbinian Abstreiter , Stefan Bauer , Bernhard Schölkopf , Arash Mehrjou

We present a novel approach that redefines the traditional interpretation of explicit and implicit discretization methods for solving a general class of advection-diffusion equations (ADEs) featuring nonlinear advection, diffusion…

偏微分方程分析 · 数学 2025-06-10 Amin Jafarimoghaddam , Manuel Soler , Irene Ortiz

We present a novel method for training score-based generative models which uses nonlinear noising dynamics to improve learning of structured distributions. Generalizing to a nonlinear drift allows for additional structure to be incorporated…

机器学习 · 统计学 2025-07-10 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet , Benjamin J. Zhang , Wei Zhu

Due to the dynamics of underlying physics and external influences, the uncertainty of time series often varies over time. However, existing Denoising Diffusion Probabilistic Models (DDPMs) often fail to capture this non-stationary nature,…

机器学习 · 计算机科学 2026-04-14 Weiwei Ye , Zhuopeng Xu , Ning Gui

Conditional diffusion models have shown remarkable performance in various generative tasks, but training them requires large-scale datasets that often contain noise in conditional inputs, a.k.a. noisy labels. This noise leads to condition…

机器学习 · 计算机科学 2024-02-28 Byeonghu Na , Yeongmin Kim , HeeSun Bae , Jung Hyun Lee , Se Jung Kwon , Wanmo Kang , Il-Chul Moon

Most unsupervised anomaly detection methods based on representations of normal samples to distinguish anomalies have recently made remarkable progress. However, existing methods only learn a single decision boundary for distinguishing the…

计算机视觉与模式识别 · 计算机科学 2024-09-10 Tianwu Lei , Silin Chen , Bohan Wang , Zhengkai Jiang , Ningmu Zou

We show how to use low-quality, synthetic, and out-of-distribution images to improve the quality of a diffusion model. Typically, diffusion models are trained on curated datasets that emerge from highly filtered data pools from the Web and…