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Machine learning methods are commonly used to solve inverse problems, wherein an unknown signal must be estimated from few indirect measurements generated via a known acquisition procedure. In particular, neural networks perform well…

机器学习 · 计算机科学 2025-12-05 Hannah Laus , Suzanna Parkinson , Vasileios Charisopoulos , Felix Krahmer , Rebecca Willett

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

流体动力学 · 物理学 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

The paper contains approximation guarantees for neural networks that are trained with gradient flow, with error measured in the continuous $L_2(\mathbb{S}^{d-1})$-norm on the $d$-dimensional unit sphere and targets that are Sobolev smooth.…

机器学习 · 计算机科学 2023-09-12 G. Welper

Recently, deep-learning-based super-resolution methods have achieved excellent performances, but mainly focus on training a single generalized deep network by feeding numerous samples. Yet intuitively, each image has its representation, and…

图像与视频处理 · 电气工程与系统科学 2021-11-17 Yuanfei Huang , Jie Li , Yanting Hu , Xinbo Gao , Hua Huang

This paper introduces a deep learning-based super-resolution (SR) framework specifically developed for accurately reconstructing high-resolution velocity fields in two-way coupled particle-laden turbulent flows. Leveraging conditional…

This study develops a neural network-based approach for emulating high-resolution modeled precipitation data with comparable statistical properties but at greatly reduced computational cost. The key idea is to use combination of low- and…

机器学习 · 计算机科学 2021-01-19 Jiali Wang , Zhengchun Liu , Ian Foster , Won Chang , Rajkumar Kettimuthu , Rao Kotamarthi

In an underwater scene, wavelength-dependent light absorption and scattering degrade the visibility of images, causing low contrast and distorted color casts. To address this problem, we propose a convolutional neural network based image…

计算机视觉与模式识别 · 计算机科学 2018-07-11 Saeed Anwar , Chongyi Li , Fatih Porikli

In this work, we focus on the inverse medium scattering problem (IMSP), which aims to recover unknown scatterers based on measured scattered data. Motivated by the efficient direct sampling method (DSM) introduced in [23], we propose a…

信号处理 · 电气工程与系统科学 2023-05-02 Jianfeng Ning , Fuqun Han , Jun Zou

We present an efficient deep learning technique for the model reduction of the Navier-Stokes equations for unsteady flow problems. The proposed technique relies on the Convolutional Neural Network (CNN) and the stochastic gradient descent…

流体动力学 · 物理学 2018-08-16 Tharindu P. Miyanawala , Rajeev K. Jaiman

Model-based deep learning (MBDL) is a powerful methodology for designing deep models to solve imaging inverse problems. MBDL networks can be seen as iterative algorithms that estimate the desired image using a physical measurement model and…

图像与视频处理 · 电气工程与系统科学 2025-04-04 Chicago Y. Park , Weijie Gan , Zihao Zou , Yuyang Hu , Zhixin Sun , Ulugbek S. Kamilov

The remarkable performance of deep neural networks (DNNs) currently makes them the method of choice for solving linear inverse problems. They have been applied to super-resolve and restore images, as well as to reconstruct MR and CT images.…

图像与视频处理 · 电气工程与系统科学 2021-06-01 Marija Vella , João F. C. Mota

Relativistic hydrodynamics is a powerful tool to simulate the evolution of the quark gluon plasma (QGP) in relativistic heavy ion collisions. Using 10000 initial and final profiles generated from 2+1-d relativistic hydrodynamics VISH2+1…

核理论 · 物理学 2021-07-07 Hengfeng Huang , Bowen Xiao , Ziming Liu , Zeming Wu , Yadong Mu , Huichao Song

The resolution of the Poisson equation is usually one of the most computationally intensive steps for incompressible fluid solvers. Lately, Deep Learning, and especially Convolutional Neural Networks (CNN), has been introduced to solve this…

流体动力学 · 物理学 2021-09-24 Ekhi Ajuria Illarramendi , Michaël Bauerheim , Bénédicte Cuenot

In this paper, by exploiting the powerful ability of deep learning, we devote to designing a well-performing and pilot-saving neural network for the channel estimation in underwater acoustic (UWA) orthogonal frequency division multiplexing…

信息论 · 计算机科学 2021-03-10 Donghong Ouyang , Yuzhou Li , Zhizhan Wang

We derive and solve an ``Equation of Motion'' (EoM) for deep neural networks (DNNs), a differential equation that precisely describes the discrete learning dynamics of DNNs. Differential equations are continuous but have played a prominent…

机器学习 · 计算机科学 2023-02-28 Taiki Miyagawa

Numerical simulation of fluids plays an essential role in modeling many physical phenomena, such as weather, climate, aerodynamics and plasma physics. Fluids are well described by the Navier-Stokes equations, but solving these equations at…

流体动力学 · 物理学 2022-04-27 Dmitrii Kochkov , Jamie A. Smith , Ayya Alieva , Qing Wang , Michael P. Brenner , Stephan Hoyer

Ultrasound localization microscopy has enabled super-resolution vascular imaging through precise localization of individual ultrasound contrast agents (microbubbles) across numerous imaging frames. However, analysis of high-density regions…

信号处理 · 电气工程与系统科学 2018-12-14 Ruud J. G. van Sloun , Oren Solomon , Matthew Bruce , Zin Z. Khaing , Hessel Wijkstra , Yonina C. Eldar , Massimo Mischi

Non-uniform blind deblurring for general dynamic scenes is a challenging computer vision problem as blurs arise not only from multiple object motions but also from camera shake, scene depth variation. To remove these complicated motion…

计算机视觉与模式识别 · 计算机科学 2018-05-08 Seungjun Nah , Tae Hyun Kim , Kyoung Mu Lee

Typical Magnetic Resonance Imaging (MRI) scan may take 20 to 60 minutes. Reducing MRI scan time is beneficial for both patient experience and cost considerations. Accelerated MRI scan may be achieved by acquiring less amount of k-space data…

图像与视频处理 · 电气工程与系统科学 2020-01-15 Pak Lun Kevin Ding , Zhiqiang Li , Yuxiang Zhou , Baoxin Li

Accurately forecasting the long-term evolution of turbulence represents a grand challenge in scientific computing and is crucial for applications ranging from climate modeling to aerospace engineering. Existing deep learning methods,…

机器学习 · 计算机科学 2026-05-20 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Qingsong Wen , Kun Wang , Xiaomeng Huang , Xian Wu