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This paper presents a novel Bayesian approach for hyperspectral image unmixing. The observed pixels are modeled by a linear combination of material signatures weighted by their corresponding abundances. A spike-and-slab abundance prior is…

应用统计 · 统计学 2022-05-04 Zeng Li , Yoann Altmann , Jie Chen , Stephen Mclaughlin , Susanto Rahardja

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

最优化与控制 · 数学 2025-03-14 Ji Li , Chao Wang

Inverse scattering problems, such as those in electromagnetic imaging using phaseless data (PD-ISPs), involve imaging objects using phaseless measurements of wave scattering. Such inverse problems can be highly non-linear and ill-posed…

信号处理 · 电气工程与系统科学 2022-12-07 Samruddhi Deshmukh , Amartansh Dubey , Ross Murch

Generative data augmentation with latent diffusion models is a promising strategy for addressing class imbalance in medical imaging, yet current approaches focus on perceptual fidelity and domain-specific autoencoder fine-tuning while…

计算机视觉与模式识别 · 计算机科学 2026-05-19 Mischa Dombrowski , Felix Nützel , Bernhard Kainz

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

数值分析 · 数学 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

We study source localization from high dimensional M/EEG data by extending a multiscale method based on Entropic inference devised to increase the spatial resolution of inverse problems. This method is used to construct informative prior…

定量方法 · 定量生物学 2015-02-13 Leonardo S. Barbosa , Nestor Caticha

Diffusion Posterior Sampling (DPS) can be used in Computed Tomography (CT) reconstruction by leveraging diffusion-based generative models for unconditional image synthesis while matching the observations (data) of a CT scan. Of particular…

A new sampling method for inverse scattering problems is proposed to process far field data of one incident wave. As the linear sampling method, the method sets up ill-posed integral equations and uses the (approximate) solutions to…

偏微分方程分析 · 数学 2018-08-01 Juan Liu , Jiguang Sun

Accurate multi-slice reconstruction from limited measurement data is crucial to speed up the acquisition process in medical and scientific imaging. However, it remains challenging due to the ill-posed nature of the problem and the high…

图像与视频处理 · 电气工程与系统科学 2025-12-09 Laurentius Valdy , Richard D. Paul , Alessio Quercia , Zhuo Cao , Xuan Zhao , Hanno Scharr , Arya Bangun

Precise magnetic field modeling is fundamental to the closed-loop control of electromagnetic navigation systems (eMNS) and the analytical Multipole Expansion Model (MPEM) is the current standard. However, the MPEM relies on strict physical…

系统与控制 · 电气工程与系统科学 2026-02-09 Antonio Bernardes , Jasan Zughaibi , Michael Muehlebach , Bradley J. Nelson

Neural image compression often faces a challenging trade-off among rate, distortion and perception. While most existing methods typically focus on either achieving high pixel-level fidelity or optimizing for perceptual metrics, we propose a…

图像与视频处理 · 电气工程与系统科学 2024-12-17 Chuqin Zhou , Guo Lu , Jiangchuan Li , Xiangyu Chen , Zhengxue Cheng , Li Song , Wenjun Zhang

Recent advancements in solving Bayesian inverse problems have spotlighted denoising diffusion models (DDMs) as effective priors. Although these have great potential, DDM priors yield complex posterior distributions that are challenging to…

机器学习 · 统计学 2024-11-14 Yazid Janati , Badr Moufad , Alain Durmus , Eric Moulines , Jimmy Olsson

The past few years have witnessed substantial advances in image generation powered by diffusion models. However, it was shown that diffusion models are susceptible to training data memorization, raising significant concerns regarding…

密码学与安全 · 计算机科学 2025-08-01 Zhe Ma , Qingming Li , Xuhong Zhang , Tianyu Du , Ruixiao Lin , Zonghui Wang , Shouling Ji , Wenzhi Chen

Despite the widespread use of Scanning Transmission Electron Microscopy (STEM) for observing the structure of materials at the atomic scale, a detailed understanding of some relevant electron beam damage mechanisms is limited. Recent…

Electromagnetic inverse scattering problems (ISPs) aim to retrieve permittivities of dielectric scatterers from the scattering measurement. It is often highly nonlinear, caus-ing the problem to be very difficult to solve. To alleviate the…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Huilin Zhou , Tao Ouyang , Yadan Li , Jian Liu , Qiegen Liu

Electroencephalography (EEG) source imaging aims to reconstruct the spatial distribution of neural activity within the brain from non-invasive scalp measurements. This inverse problem is severely ill-posed due to the low spatial resolution…

数值分析 · 数学 2026-04-08 Joonas Lahtinen , Alexandra Koulouri

In an inverse problem, the goal is to recover an unknown parameter (e.g., an image) that has typically undergone some lossy or noisy transformation during measurement. Recently, deep generative models, particularly diffusion models, have…

机器学习 · 计算机科学 2025-07-30 Amartya Banerjee , Xingyu Xu , Caroline Moosmüller , Harlin Lee

Cardiac contraction is a rapid, coordinated process that unfolds across three-dimensional tissue on millisecond timescales. Traditional optical imaging is often inadequate for capturing dynamic cellular structure in the beating heart…

计算机视觉与模式识别 · 计算机科学 2025-11-06 Yi Gong , Xinyuan Zhang , Jichen Chai , Yichen Ding , Yifei Lou

High-resolution (HR) MRI scans obtained from research-grade medical centers provide precise information about imaged tissues. However, routine clinical MRI scans are typically in low-resolution (LR) and vary greatly in contrast and spatial…

图像与视频处理 · 电气工程与系统科学 2023-08-25 Jueqi Wang , Jacob Levman , Walter Hugo Lopez Pinaya , Petru-Daniel Tudosiu , M. Jorge Cardoso , Razvan Marinescu

Scanning Transmission Electron Microscopy (STEM) has become the main stay for materials characterization on atomic level, with applications ranging from visualization of localized and extended defects to mapping order parameter fields. In…

仪器与探测器 · 物理学 2019-01-15 Xin Li , Ondrej Dyck , Sergei V. Kalinin , Stephen Jesse