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Magnetic resonance imaging (MRI) is central to the diagnosis of multiple sclerosis, where the identification of biomarkers such as the central vein sign benefits from high-resolution images. However, most clinical brain MRI scans are…

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

计算机视觉与模式识别 · 计算机科学 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

Blind Perspective-n-Point (PnP) is the problem of estimating the position and orientation of a camera relative to a scene, given 2D image points and 3D scene points, without prior knowledge of the 2D-3D correspondences. Solving for pose and…

计算机视觉与模式识别 · 计算机科学 2020-09-09 Dylan Campbell , Liu Liu , Stephen Gould

The core challenge of hyperspectral image denoising is striking the right balance between data fidelity and noise prior modeling. Most existing methods place too much emphasis on the intrinsic priors of the image while overlooking diverse…

计算机视觉与模式识别 · 计算机科学 2026-04-22 Xuelin Xie , Xiliang Lu , Zhengshan Wang , Yang Zhang , Long Chen

Distributed renewable generation, elastic loads, and purposeful manipulation of meter readings challenge the monitoring and control of today's power systems (PS). In this context, to maintain a comprehensive view of the system in real time,…

系统与控制 · 电气工程与系统科学 2020-05-22 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

We propose SING (StabIlized and Normalized Gradient), a plug-and-play technique that improves the stability and generalization of the Adam(W) optimizer. SING is straightforward to implement and has minimal computational overhead, requiring…

机器学习 · 计算机科学 2023-05-26 Adrien Courtois , Damien Scieur , Jean-Michel Morel , Pablo Arias , Thomas Eboli

Text-to-image latent diffusion models (LDMs) have recently emerged as powerful generative models with great potential for solving inverse problems in imaging. However, leveraging such models in a Plug & Play (PnP), zero-shot manner remains…

计算机视觉与模式识别 · 计算机科学 2025-09-04 Alessio Spagnoletti , Jean Prost , Andrés Almansa , Nicolas Papadakis , Marcelo Pereyra

The goal of this work is to reduce the effect of photon noise in dental cone-beam CT reconstruction. We consider an inverse problem formulation and develop a databased prior. To this end, we simulate fan-beam acquisitions and add photon…

人工智能 · 计算机科学 2026-05-28 Idris Tatachak , Luis Kabongo , Nicolas Papadakis , Xavier Ripoche , Simon Rit

Neural networks have recently gained attention in solving inverse problems. One prominent methodology are Physics-Informed Neural Networks (PINNs) which can solve both forward and inverse problems. In the paper at hand, full waveform…

数值分析 · 数学 2023-12-05 Leon Herrmann , Tim Bürchner , Felix Dietrich , Stefan Kollmannsberger

Downward continuation is a critical task in potential field processing, including gravity and magnetic fields, which aims to transfer data from one observation surface to another that is closer to the source of the field. Its effectiveness…

地球物理 · 物理学 2025-02-11 Jing Sun , Lu Li , Liang Zhang

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

机器学习 · 计算机科学 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister

We mainly analyze and solve the overfitting problem of deep image prior (DIP). Deep image prior can solve inverse problems such as super-resolution, inpainting and denoising. The main advantage of DIP over other deep learning approaches is…

图像与视频处理 · 电气工程与系统科学 2023-02-20 Zhaodong Sun , Thomas Sanchez , Fabian Latorre , Volkan Cevher

Learned graph neural networks (GNNs) have recently been established as fast and accurate alternatives for principled solvers in simulating the dynamics of physical systems. In many application domains across science and engineering,…

机器学习 · 计算机科学 2022-06-03 Qingqing Zhao , David B. Lindell , Gordon Wetzstein

Training deep neural networks has become a common approach for addressing image restoration problems. An alternative for training a "task-specific" network for each observation model is to use pretrained deep denoisers for imposing only the…

图像与视频处理 · 电气工程与系统科学 2024-04-16 Tomer Garber , Tom Tirer

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

计算机视觉与模式识别 · 计算机科学 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

In recent years, there have been significant advances in the use of deep learning methods in inverse problems such as denoising, compressive sensing, inpainting, and super-resolution. While this line of works has predominantly been driven…

Inverse problems in imaging are ill-posed, leading to infinitely many solutions consistent with the measurements due to the non-trivial null-space of the sensing matrix. Common image priors promote solutions on the general image manifold,…

计算机视觉与模式识别 · 计算机科学 2026-04-17 Romario Gualdrón-Hurtado , Roman Jacome , Rafael S. Suarez , Henry Arguello

Solving differential equations efficiently and accurately sits at the heart of progress in many areas of scientific research, from classical dynamical systems to quantum mechanics. There is a surge of interest in using Physics-Informed…

机器学习 · 计算机科学 2022-07-06 Shaan Desai , Marios Mattheakis , Hayden Joy , Pavlos Protopapas , Stephen Roberts

Inverse problems span across diverse fields. In medical contexts, computed tomography (CT) plays a crucial role in reconstructing a patient's internal structure, presenting challenges due to artifacts caused by inherently ill-posed inverse…

图像与视频处理 · 电气工程与系统科学 2024-04-01 Ishak Ayad , Nicolas Larue , Maï K. Nguyen
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