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Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

机器学习 · 计算机科学 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

Image domain prior models have been shown to improve the quality of reconstructed images, especially when data are limited. Pre-processing of raw data, through the implicit or explicit inclusion of data domain priors have separately also…

图像与视频处理 · 电气工程与系统科学 2020-09-02 Muhammad Usman Ghani , W. Clem Karl

A major challenge for medical X-ray CT imaging is reducing the number of X-ray projections to lower radiation dosage and reduce scan times without compromising image quality. However these under-determined inverse imaging problems rely on…

图像与视频处理 · 电气工程与系统科学 2025-02-05 Maliha Hossain , Yuankai Huo , Xinqiang Yan , Xiao Wang

Research in neural models inspired by mammal's visual cortex has led to many spiking neural networks such as pulse-coupled neural networks (PCNNs). These models are oscillating, spatio-temporal models stimulated with images to produce…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Nurul Rafi , Pablo Rivas

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs) by embedding physical laws into neural network training. However, traditional PINN models are typically designed…

机器学习 · 计算机科学 2025-05-05 Keon Vin Park

The fusion of artificial intelligence (AI) with physics-guided frameworks has opened transformative avenues for advancing the design and optimization of electromagnetic and nanophotonic systems. Innovations in deep neural networks (DNNs)…

Physics-informed neural networks (PINNs) are an increasingly powerful way to solve partial differential equations, generate digital twins, and create neural surrogates of physical models. In this manuscript we detail the inner workings of…

Inverse problems in image processing are typically cast as optimization tasks, consisting of data-fidelity and stabilizing regularization terms. A recent regularization strategy of great interest utilizes the power of denoising engines. Two…

图像与视频处理 · 电气工程与系统科学 2020-10-30 Regev Cohen , Michael Elad , Peyman Milanfar

Machine learning is poised as a very powerful tool that can drastically improve our ability to carry out scientific research. However, many issues need to be addressed before this becomes a reality. This article focuses on one particular…

计算物理 · 物理学 2020-06-05 Weinan E , Jiequn Han , Linfeng Zhang

In this paper, we present a novel variational plug-and-play algorithm for Poisson inverse problems. Our approach minimizes an explicit functional which is the sum of a Kullback-Leibler data fidelity term and a regularization term based on a…

计算机视觉与模式识别 · 计算机科学 2026-03-26 Thibaut Modrzyk , Ane Etxebeste , Élie Bretin , Voichita Maxim

Recent works that utilized deep models have achieved superior results in various image restoration applications. Such approach is typically supervised which requires a corpus of training images with distribution similar to the images to be…

图像与视频处理 · 电气工程与系统科学 2020-05-19 Zhiyuan Zha , Xin Yuan , Joey Tianyi Zhou , Jiantao Zhou , Bihan Wen , Ce Zhu

Physics-Informed Neural Networks (PINN) emerged as a powerful tool for solving scientific computing problems, ranging from the solution of Partial Differential Equations to data assimilation tasks. One of the advantages of using PINN is to…

量子物理 · 物理学 2023-01-12 Stefano Markidis

Radio map estimation (RME), also known as spectrum cartography, aims to reconstruct the strength of radio interference across different domains (e.g., space and frequency) from sparsely sampled measurements. To tackle this typical inverse…

信号处理 · 电气工程与系统科学 2025-06-27 Le Xu , Lei Cheng , Junting Chen , Wenqiang Pu , Xiao Fu

Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving constrained optimization problems in image restoration. Among many useful features, one critical feature of the ADMM algorithm is its modular structure…

计算机视觉与模式识别 · 计算机科学 2016-11-14 Stanley H. Chan , Xiran Wang , Omar A. Elgendy

Magnetic Resonance Imaging (MRI) is a pivotal clinical diagnostic tool, yet its extended scanning times often compromise patient comfort and image quality, especially in volumetric, temporal and quantitative scans. This review elucidates…

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

机器学习 · 计算机科学 2019-08-07 Sören Dittmer , Peter Maass

Incorporation of prior knowledge about organ shape and location is key to improve performance of image analysis approaches. In particular, priors can be useful in cases where images are corrupted and contain artefacts due to limitations in…

The simulation of power system dynamics poses a computationally expensive task. Considering the growing uncertainty of generation and demand patterns, thousands of scenarios need to be continuously assessed to ensure the safety of power…

系统与控制 · 电气工程与系统科学 2023-11-13 Jochen Stiasny , Spyros Chatzivasileiadis

We propose a new plug-and-play priors (PnP) based MR image reconstruction method that systematically enforces data consistency while also exploiting deep-learning priors. Our prior is specified through a convolutional neural network (CNN)…

图像与视频处理 · 电气工程与系统科学 2022-04-12 Weijie Gan , Cihat Eldeniz , Jiaming Liu , Sihao Chen , Hongyu An , Ulugbek S. Kamilov

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

机器学习 · 计算机科学 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel