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We revisit the variational characterization of diffusion as entropic gradient flux and provide for it a probabilistic interpretation based on stochastic calculus. It was shown by Jordan, Kinderlehrer, and Otto that, for diffusions of…

概率论 · 数学 2020-03-24 Ioannis Karatzas , Walter Schachermayer , Bertram Tschiderer

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks, especially white-box targeted attacks. One scheme of learning attacks is to design a proper adversarial objective function that leads to the imperceptible perturbation for…

机器学习 · 计算机科学 2019-05-28 Zekun Zhang , Tianfu Wu

Recent advancements in diffusion models have been effective in learning data priors for solving inverse problems. They leverage diffusion sampling steps for inducing a data prior while using a measurement guidance gradient at each step to…

机器学习 · 计算机科学 2025-04-02 Rayhan Zirvi , Bahareh Tolooshams , Anima Anandkumar

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

机器学习 · 计算机科学 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

As Diffusion Models have shown promising performance, a lot of efforts have been made to improve the controllability of Diffusion Models. However, how to train Diffusion Models to have the disentangled latent spaces and how to naturally…

计算机视觉与模式识别 · 计算机科学 2025-07-02 Wonwoong Cho , Hareesh Ravi , Midhun Harikumar , Vinh Khuc , Krishna Kumar Singh , Jingwan Lu , David I. Inouye , Ajinkya Kale

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

We study the problem of sampling from a probability distribution on $\mathbb R^p$ defined via a convex and smooth potential function. We consider a continuous-time diffusion-type process, termed Penalized Langevin dynamics (PLD), the drift…

统计理论 · 数学 2020-06-26 Avetik Karagulyan , Arnak S. Dalalyan

This paper studies sampling error bounds for denoising diffusion probabilistic models (DDPMs) in the 2-Wasserstein distance. Our contributions are threefold. (i) Under general Lipschitz-type conditions on the score function and for a broad…

机器学习 · 统计学 2026-05-19 Yuta Koike

This paper proposes two linear projection methods for supervised dimension reduction using only the first and second-order statistics. The methods, each catering to a different parameter regime, are derived under the general Gaussian model…

信息论 · 计算机科学 2024-08-13 Biao Chen , Joshua Kortje

Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) are powerful generative models which have been successfully…

机器学习 · 计算机科学 2019-06-25 Jacob Leygonie , Jennifer She , Amjad Almahairi , Sai Rajeswar , Aaron Courville

Unrestricted adversarial attacks present a serious threat to deep learning models and adversarial defense techniques. They pose severe security problems for deep learning applications because they can effectively bypass defense mechanisms.…

机器学习 · 计算机科学 2024-07-16 Xuelong Dai , Kaisheng Liang , Bin Xiao

Diffusion models have made significant advances recently in high-quality image synthesis and related tasks. However, diffusion models trained on real-world datasets, which often follow long-tailed distributions, yield inferior fidelity for…

计算机视觉与模式识别 · 计算机科学 2024-02-19 Divin Yan , Lu Qi , Vincent Tao Hu , Ming-Hsuan Yang , Meng Tang

We consider the problem of quantifying the quality of a model selection problem for a graphical model. We discuss this by formulating the problem as a detection problem. Model selection problems usually minimize a distance between the…

信息论 · 计算机科学 2017-10-19 Navid Tafaghodi Khajavi , Anthony Kuh

Multi-agent systems play a central role in area coverage tasks across search-and-rescue, environmental monitoring, and precision agriculture. Achieving non-uniform coverage, where spatial priorities vary across the domain, requires…

系统与控制 · 电气工程与系统科学 2025-12-11 Kooktae Lee , Ethan Brook

The rapid advancement in image generation models has predominantly been driven by diffusion models, which have demonstrated unparalleled success in generating high-fidelity, diverse images from textual prompts. Despite their success,…

计算机视觉与模式识别 · 计算机科学 2024-03-29 Yusuf Dalva , Hidir Yesiltepe , Pinar Yanardag

Many real-world machine learning tasks require outputs that satisfy hard constraints, such as physical conservation laws, structured dependencies in graphs, or column-level relationships in tabular data. Existing approaches rely either on…

人工智能 · 计算机科学 2025-11-21 Pantelis Dogoulis , Fabien Bernier , Félix Fourreau , Karim Tit , Maxime Cordy

In an effort to further advance semi-supervised generative and classification tasks, we propose a simple yet effective training strategy called dual pseudo training (DPT), built upon strong semi-supervised learners and diffusion models. DPT…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Zebin You , Yong Zhong , Fan Bao , Jiacheng Sun , Chongxuan Li , Jun Zhu

This article develops a methodology allowing application of the complete machinery of particle-based inference methods upon the class of continuous-discrete State Space Models (CD-SSMs). Such models correspond to a latent continuous-time…

统计方法学 · 统计学 2025-11-17 Christopher Stanton , Alexandros Beskos

Proteins play a critical role in carrying out biological functions, and their 3D structures are essential in determining their functions. Accurately predicting the conformation of protein side-chains given their backbones is important for…

定量方法 · 定量生物学 2024-02-19 Yangtian Zhang , Zuobai Zhang , Bozitao Zhong , Sanchit Misra , Jian Tang

Sampling from diffusion models involves a slow iterative process that hinders their practical deployment, especially for interactive applications. To accelerate generation speed, recent approaches distill a multi-step diffusion model into a…

机器学习 · 计算机科学 2025-03-11 Yilun Xu , Weili Nie , Arash Vahdat