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We present a PDE-based approach for the multidimensional extrapolation of smooth scalar quantities across interfaces with kinks and regions of high curvature. Unlike the commonly used method of [2] in which normal derivatives are…

Numerical Analysis · Mathematics 2023-09-26 Daniil Bochkov , Frederic Gibou

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…

Image and Video Processing · Electrical Eng. & Systems 2023-06-07 Shitong Shao , Xiaohan Yuan , Zhen Huang , Ziming Qiu , Shuai Wang , Kevin Zhou

We propose a unified diffusion model-based correction and super-resolution method to enhance the fidelity and resolution of diverse low-quality data through a two-step pipeline. First, the correction step employs a novel enhanced stochastic…

Numerical Analysis · Mathematics 2025-05-15 Wuzhe Xu , Yulong Lu , Sifan Wang , Tong-Rui Liu

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 image quality degradation…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Beier Zhu , Ruoyu Wang , Tong Zhao , Hanwang Zhang , Chi Zhang

In applications of diffusion models, controllable generation is of practical significance, but is also challenging. Current methods for controllable generation primarily focus on modifying the score function of diffusion models, while Mean…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Ao Li , Wei Fang , Hongbo Zhao , Le Lu , Ge Yang , Minfeng Xu

Diffusion-based models have achieved notable empirical successes in reinforcement learning (RL) due to their expressiveness in modeling complex distributions. Despite existing methods being promising, the key challenge of extending existing…

Machine Learning · Computer Science 2024-11-04 Dmitry Shribak , Chen-Xiao Gao , Yitong Li , Chenjun Xiao , Bo Dai

The past few years have witnessed the great success of Diffusion models~(DMs) in generating high-fidelity samples in generative modeling tasks. A major limitation of the DM is its notoriously slow sampling procedure which normally requires…

Machine Learning · Computer Science 2023-02-28 Qinsheng Zhang , Yongxin Chen

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as powerful tools for generative modeling. However, their sequential computation requirements lead to significant inference-time bottlenecks. In this work, we utilize the…

Machine Learning · Computer Science 2025-08-08 Hengyuan Hu , Aniket Das , Dorsa Sadigh , Nima Anari

Diffusion models, as a kind of powerful generative model, have given impressive results on image super-resolution (SR) tasks. However, due to the randomness introduced in the reverse process of diffusion models, the performances of…

Image and Video Processing · Electrical Eng. & Systems 2024-04-02 Yiyang Ma , Huan Yang , Wenhan Yang , Jianlong Fu , Jiaying Liu

This contribution introduces a novel signal extrapolation algorithm and its application to image error concealment. The signal extrapolation is carried out by iteratively generating a model of the signal suffering from distortion. Thereby,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Jürgen Seiler , André Kaup

Diffusion Probabilistic Models (DPMs) have emerged as a powerful class of deep generative models, achieving remarkable performance in image synthesis tasks. However, these models face challenges in terms of widespread adoption due to their…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Kidist Amde Mekonnen , Nicola Dall'Asen , Paolo Rota

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

Deep learning inspired by differential equations is a recent research trend and has marked the state of the art performance for many machine learning tasks. Among them, time-series modeling with neural controlled differential equations…

Machine Learning · Computer Science 2022-09-22 Sheo Yon Jhin , Jaehoon Lee , Minju Jo , Seungji Kook , Jinsung Jeon , Jihyeon Hyeong , Jayoung Kim , Noseong Park

In this paper, we focus on the solution of online optimization problems that arise often in signal processing and machine learning, in which we have access to streaming sources of data. We discuss algorithms for online optimization based on…

Optimization and Control · Mathematics 2023-05-05 Nicola Bastianello , Ruggero Carli , Andrea Simonetto

Diffusion models, which convert noise into new data instances by learning to reverse a diffusion process, have become a cornerstone in contemporary generative modeling. In this work, we develop non-asymptotic convergence theory for a…

Machine Learning · Computer Science 2024-08-06 Gen Li , Yuting Wei , Yuejie Chi , Yuxin Chen

Denoising Diffusion Probabilistic Models (DDPMs) are a very popular class of deep generative model that have been successfully applied to a diverse range of problems including image and video generation, protein and material synthesis,…

Advances in microscopy imaging enable researchers to visualize structures at the nanoscale level thereby unraveling intricate details of biological organization. However, challenges such as image noise, photobleaching of fluorophores, and…

Image and Video Processing · Electrical Eng. & Systems 2024-09-19 Pamela Osuna-Vargas , Maren H. Wehrheim , Lucas Zinz , Johanna Rahm , Ashwin Balakrishnan , Alexandra Kaminer , Mike Heilemann , Matthias Kaschube

Generative processes that involve solving differential equations, such as diffusion models, frequently necessitate balancing speed and quality. ODE-based samplers are fast but plateau in performance while SDE-based samplers deliver higher…

Machine Learning · Computer Science 2023-11-02 Yilun Xu , Mingyang Deng , Xiang Cheng , Yonglong Tian , Ziming Liu , Tommi Jaakkola

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…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Harshith Bachimanchi , Giovanni Volpe

Out-of-distribution detection is crucial to the safe deployment of machine learning systems. Currently, unsupervised out-of-distribution detection is dominated by generative-based approaches that make use of estimates of the likelihood or…

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