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The use of Physics-informed neural networks (PINNs) has shown promise in solving forward and inverse problems of fractional diffusion equations. However, due to the fact that automatic differentiation is not applicable for fractional…

数值分析 · 数学 2023-04-04 Xiong-Bin Yan , Zhi-Qin John Xu , Zheng Ma

Diffusion models have achieved excellent success in solving inverse problems due to their ability to learn strong image priors, but existing approaches require a large training dataset of images that should come from the same distribution…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Jason Hu , Bowen Song , Jeffrey A. Fessler , Liyue Shen

Posterior sampling has been shown to be a powerful Bayesian approach for solving imaging inverse problems. The recent plug-and-play unadjusted Langevin algorithm (PnP-ULA) has emerged as a promising method for Monte Carlo sampling and…

机器学习 · 统计学 2025-08-13 Marien Renaud , Jiaming Liu , Valentin de Bortoli , Andrés Almansa , Ulugbek S. Kamilov

Inverse rendering, the process of inferring scene properties from images, is a challenging inverse problem. The task is ill-posed, as many different scene configurations can give rise to the same image. Most existing solutions incorporate…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Linjie Lyu , Ayush Tewari , Marc Habermann , Shunsuke Saito , Michael Zollhöfer , Thomas Leimkühler , Christian Theobalt

Diffusion models have recently been shown to excel in many image reconstruction tasks that involve inverse problems based on a forward measurement operator. A common framework uses task-agnostic unconditional models that are later…

计算机视觉与模式识别 · 计算机科学 2024-06-17 Alper Güngör , Bahri Batuhan Bilecen , Tolga Çukur

Scientific machine learning (SciML) represents a significant advancement in integrating machine learning (ML) with scientific methodologies. At the forefront of this development are Physics-Informed Neural Networks (PINNs), which offer a…

机器学习 · 计算机科学 2024-11-19 Reyhaneh Taj

Diffusion models have become a central paradigm for image and multimodal generation, yet their deployment raises persistent questions about alignment, safety, preference satisfaction, and robustness to misuse. This survey reviews recent…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Preeti Lamba , Kiran Ravish , Ankita Kushwaha , Pawan Kumar

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

信号处理 · 电气工程与系统科学 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

Flow matching-based generative models have been integrated into the plug-and-play image restoration framework, and the resulting plug-and-play flow matching (PnP-Flow) model has achieved some remarkable empirical success for image…

计算机视觉与模式识别 · 计算机科学 2025-12-05 Fan Jia , Yuhao Huang , Shih-Hsin Wang , Cristina Garcia-Cardona , Andrea L. Bertozzi , Bao Wang

Diffusion models have gained prominence as powerful generative tools for solving inverse problems due to their ability to model complex data distributions. However, existing methods typically rely on complete knowledge of the forward…

机器学习 · 计算机科学 2026-03-03 Hongkun Dou , Zike Chen , Zeyu Li , Hongjue Li , Lijun Yang , Yue Deng

We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of a passive scalar (e.g., the concentration of a pollutant).…

数值分析 · 数学 2019-05-22 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

When solving inverse problems, one increasingly popular approach is to use pre-trained diffusion models as plug-and-play priors. This framework can accommodate different forward models without re-training while preserving the generative…

机器学习 · 计算机科学 2025-06-04 Hongkai Zheng , Wenda Chu , Austin Wang , Nikola Kovachki , Ricardo Baptista , Yisong Yue

Existing diffusion-based methods for inverse problems sample from the posterior using score functions and accept the generated random samples as solutions. In applications that posterior mean is preferred, we have to generate multiple…

机器学习 · 计算机科学 2024-10-10 Zhipeng Xue , Penghao Cai , Xiaojun Yuan , Xiqi Gao

Physics-Informed Neural Networks promise to revolutionize science and engineering practice, by introducing domain-aware deep machine learning models into scientific computation. Several software suites have emerged to make the…

数学软件 · 计算机科学 2021-03-31 Levi D. McClenny , Mulugeta A. Haile , Ulisses M. Braga-Neto

Estimating high-quality images while also quantifying their uncertainty are two desired features in an image reconstruction algorithm for solving ill-posed inverse problems. In this paper, we propose plug-and-play Monte Carlo (PMC) as a…

图像与视频处理 · 电气工程与系统科学 2024-08-29 Yu Sun , Zihui Wu , Yifan Chen , Berthy T. Feng , Katherine L. Bouman

Diffusion-based generative models have achieved remarkable success in image generation. Their guidance formulation allows an external model to plug-and-play control the generation process for various tasks without finetuning the diffusion…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Hyojun Go , Yunsung Lee , Jin-Young Kim , Seunghyun Lee , Myeongho Jeong , Hyun Seung Lee , Seungtaek Choi

Plug-and-play (PnP) is a non-convex framework that integrates modern denoising priors, such as BM3D or deep learning-based denoisers, into ADMM or other proximal algorithms. An advantage of PnP is that one can use pre-trained denoisers when…

计算机视觉与模式识别 · 计算机科学 2019-05-15 Ernest K. Ryu , Jialin Liu , Sicheng Wang , Xiaohan Chen , Zhangyang Wang , Wotao Yin

Rendering and inverse rendering are pivotal tasks in both computer vision and graphics. The rendering equation is the core of the two tasks, as an ideal conditional distribution transfer function from intrinsic properties to RGB images.…

计算机视觉与模式识别 · 计算机科学 2025-03-06 Zhifei Chen , Tianshuo Xu , Wenhang Ge , Leyi Wu , Dongyu Yan , Jing He , Luozhou Wang , Lu Zeng , Shunsi Zhang , Yingcong Chen

Imaging inverse problems can be solved in an unsupervised manner using pre-trained diffusion models, but doing so requires approximating the gradient of the measurement-conditional score function in the diffusion reverse process. We show…

计算机视觉与模式识别 · 计算机科学 2025-08-28 Matt C. Bendel , Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

Diffusion models have recently demonstrated notable success in solving inverse problems. However, current diffusion model-based solutions typically require a large number of function evaluations (NFEs) to generate high-quality images…

计算机视觉与模式识别 · 计算机科学 2024-12-06 Tianyu Chen , Zhendong Wang , Mingyuan Zhou