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Inverse problems arise in a multitude of applications, where the goal is to recover a clean signal from noisy and possibly (non)linear observations. The difficulty of a reconstruction problem depends on multiple factors, such as the ground…

图像与视频处理 · 电气工程与系统科学 2024-08-21 Zalan Fabian , Berk Tinaz , Mahdi Soltanolkotabi

The inverse radiative transfer problem finds broad applications in medical imaging, atmospheric science, astronomy, and many other areas. This problem intends to recover the optical properties, denoted as absorption and scattering…

数值分析 · 数学 2017-08-08 Qin Li , Ruiwen Shu , Li Wang

Fluorescence photoacoustic tomography (fPAT) is a molecular imaging modality that combines photoacoustic tomography (PAT) with fluorescence imaging to obtain high-resolution imaging of fluorescence distributions inside heterogeneous media.…

偏微分方程分析 · 数学 2019-09-27 Kui Ren , Rongting Zhang , Yimin Zhong

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

图像与视频处理 · 电气工程与系统科学 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

Restoring real-world degraded images, such as old photographs or low-resolution images, presents a significant challenge due to the complex, mixed degradations they exhibit, such as scratches, color fading, and noise. Recent data-driven…

计算机视觉与模式识别 · 计算机科学 2025-05-28 Peng Xiao , Hongbo Zhao , Yijun Wang , Jianxin Lin

Pretrained diffusion models are effective priors for Bayesian inverse problems, but posterior sampling with these priors is often costly because data-consistency guidance is applied throughout the full reverse trajectory. Existing methods…

机器学习 · 计算机科学 2026-05-29 Abduragim Shtanchaev , Albina Ilina , Yazid Janati , Arip Asadulaev , Martin Takac , Eric Moulines

With continuous progression of Moore's Law, integrated circuit (IC) device complexity is also increasing. Scanning Electron Microscope (SEM) image based extensive defect inspection and accurate metrology extraction are two main challenges…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Vic De Ridder , Bappaditya Dey , Sandip Halder , Bartel Van Waeyenberge

This study investigates an inverse problem associated with a time-fractional HIV infection model incorporating nonlinear diffusion. The model describes the dynamics of uninfected target cells, infected cells, and free virus particles, where…

数值分析 · 数学 2025-04-01 Mohamed BenSalah , Salih Tatar , Suleyman Ulusoy

Recovering a signal from its degraded measurements is a long standing challenge in science and engineering. Recently, zero-shot diffusion based methods have been proposed for such inverse problems, offering a posterior sampling based…

机器学习 · 计算机科学 2026-05-19 Roi Benita , Michael Elad , Joseph Keshet

In this paper, we propose an unsupervised approach for bacterial detection in optical endomicroscopy images. This approach splits each image into a set of overlapping patches and assumes that observed intensities are linear combinations of…

计算机视觉与模式识别 · 计算机科学 2019-01-25 Ahmed Karam Eldaly , Yoann Altmann , Ahsan Akram , Antonios Perperidis , Kevin Dhaliwal , Stephen McLaughlin

Few-shot object detection (FSOD) aims to detect novel instances with only a limited number of labeled training samples, presenting a challenge that is particularly prominent in numerous remote sensing applications such as endangered species…

图像与视频处理 · 电气工程与系统科学 2025-11-25 Yanxing Liu , Jiancheng Pan , Jianwei Yang , Tiancheng Chen , Peiling Zhou , Bingchen Zhang

High-fidelity spectrum cartography is pivotal for spectrum management and wireless situational awareness, yet it remains a challenging ill-posed inverse problem due to the sparsity and irregularity of observations. Furthermore, existing…

信息论 · 计算机科学 2025-12-24 Yuntong Gu , Xiangming meng , Zhiyuan Lin , Sheng Wu , Linling Kuang

Diffusion models have recently gained traction as a powerful class of deep generative priors, excelling in a wide range of image restoration tasks due to their exceptional ability to model data distributions. To solve image restoration…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Xiang Li , Soo Min Kwon , Shijun Liang , Ismail R. Alkhouri , Saiprasad Ravishankar , Qing Qu

Score-based diffusion models learn to reverse a stochastic differential equation that maps data to noise. However, for complex tasks, numerical error can compound and result in highly unnatural samples. Previous work mitigates this drift…

机器学习 · 统计学 2023-06-12 Aaron Lou , Stefano Ermon

Denoising diffusion models have emerged as the go-to generative framework for solving inverse problems in imaging. A critical concern regarding these models is their performance on out-of-distribution tasks, which remains an under-explored…

计算机视觉与模式识别 · 计算机科学 2025-01-29 Riccardo Barbano , Alexander Denker , Hyungjin Chung , Tae Hoon Roh , Simon Arridge , Peter Maass , Bangti Jin , Jong Chul Ye

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

This paper considers the non-linear inverse problem of reconstructing an electric conductivity distribution from the interior power density in a bounded domain. Applications include the novel tomographic method known as acousto-electric…

最优化与控制 · 数学 2018-08-29 B. J. Adesokan , Kim Knudsen , Venkateswaran P. Krishnan , Souvik Roy

We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. The solution is discretized in the physical domain using…

数值分析 · 数学 2026-04-20 Erik Burman , Mats G. Larson , Karl Larsson , Jonatan Vallin

Infrared imaging is essential for autonomous driving and robotic operations as a supportive modality due to its reliable performance in challenging environments. Despite its popularity, the limitations of infrared cameras, such as low…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Xingyuan Li , Zirui Wang , Yang Zou , Zhixin Chen , Jun Ma , Zhiying Jiang , Long Ma , Jinyuan Liu

In the previous paper "Stabilizing Inverse Problems by Internal Data", the authors introduced a simple procedure that allows one to detect whether and explain why internal information arising in several novel coupled physics (hybrid)…

偏微分方程分析 · 数学 2014-11-04 Peter Kuchment , Dustin Steinhauer