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Physics-informed neural networks (PINNs) provide a promising framework for solving inverse problems governed by partial differential equations (PDEs) by integrating observational data and physical constraints in a unified optimization…

机器学习 · 计算机科学 2026-04-07 Yongsheng Chen , Yong Chen , Wei Guo , Xinghui Zhong

Correlated imaging through atmospheric turbulence is studied, and the analytical expressions describing turbulence effects on image resolution are derived. Compared with direct imaging, correlated imaging can reduce the influence of…

光学 · 物理学 2015-05-19 Pengli Zhang , Wenlin Gong , Xia Shen , Shensheng Han

Resolving the diffusion coefficient is a key element in many biological and engineering systems, including pharmacological drug transport and fluid mechanics analyses. Additionally, these systems often have spatial variation in the…

定量方法 · 定量生物学 2024-03-08 Sukirt Thakur , Ehsan Esmaili , Sarah Libring , Luis Solorio , Arezoo M. Ardekani

Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

机器学习 · 计算机科学 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

Physics-informed neural networks (PINNs) are a promising approach that combines the power of neural networks with the interpretability of physical modeling. PINNs have shown good practical performance in solving partial differential…

统计理论 · 数学 2026-01-26 Nathan Doumèche , Gérard Biau , Claire Boyer

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

Engineering design and scientific analysis rely upon computer simulations of turbulent fluid flows using turbulence models. These turbulence models are empirical and approximate, leading to large uncertainties in their predictions that…

流体动力学 · 物理学 2024-05-28 Minghan Chu , Weicheng Qian

Image smoothing is a fundamental task in computer vision, that aims to retain salient structures and remove insignificant textures. In this paper, we aim to address the fundamental shortcomings of existing image smoothing methods, which…

计算机视觉与模式识别 · 计算机科学 2018-05-09 Kaiyue Lu , Shaodi You , Nick Barnes

Physics-Informed Neural Networks (PINNs) are regarded as state-of-the-art tools for addressing highly nonlinear problems based on partial differential equations. Despite their broad range of applications, PINNs encounter several performance…

机器学习 · 计算机科学 2024-09-06 Jamshaid Ul Rahman , Nimra

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for solving differential equations by integrating physical laws into the learning process. This work leverages PINNs to simulate gravitational collapse, a critical…

宇宙学与河外天体物理 · 物理学 2025-06-04 Ashutosh Kumar Mishra , Emma Tolley

By circumventing the resolution limitations of optics, coherent diffractive imaging (CDI) and ptychography are making their way into scientific fields ranging from X-ray imaging to astronomy. Yet, the need for time consuming iterative phase…

计算物理 · 物理学 2023-10-13 Oliver Hoidn , Aashwin Ananda Mishra , Apurva Mehta

Deep learning models trained on finite data lack a complete understanding of the physical world. On the other hand, physics-informed neural networks (PINNs) are infused with such knowledge through the incorporation of mathematically…

神经与进化计算 · 计算机科学 2026-02-23 Jian Cheng Wong , Abhishek Gupta , Chin Chun Ooi , Pao-Hsiung Chiu , Jiao Liu , Yew-Soon Ong

We investigate the use of Physics-Informed Neural Networks (PINNs) for solving the wave equation. Whilst PINNs have been successfully applied across many physical systems, the wave equation presents unique challenges due to the multi-scale,…

计算物理 · 物理学 2020-06-23 Ben Moseley , Andrew Markham , Tarje Nissen-Meyer

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

机器学习 · 计算机科学 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

We study the applicability of tools developed by the computer vision community for features learning and semantic image inpainting to perform data reconstruction of fluid turbulence configurations. The aim is twofold. First, we explore on a…

流体动力学 · 物理学 2021-06-15 M. Buzzicotti , F. Bonaccorso , P. Clark Di Leoni , L. Biferale

Image restoration is a classic low-level problem aimed at recovering high-quality images from low-quality images with various degradations such as blur, noise, rain, haze, etc. However, due to the inherent complexity and non-uniqueness of…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Yuhong Zhang , Hengsheng Zhang , Xinning Chai , Zhengxue Cheng , Rong Xie , Li Song , Wenjun Zhang

Current, realistic numerical simulations of the solar atmosphere reproduce observations in a statistical sense; they do not replicate observations such as a movie of solar granulation. Inversions on the other hand reproduce observations by…

太阳与恒星天体物理 · 物理学 2025-05-09 Christoph U. Keller

Modern digital cameras and smartphones mostly rely on image signal processing (ISP) pipelines to produce realistic colored RGB images. However, compared to DSLR cameras, low-quality images are usually obtained in many portable mobile…

图像与视频处理 · 电气工程与系统科学 2021-11-11 Rao Muhammad Umer , Christian Micheloni

Simulating solute transport in heterogeneous porous media poses computational challenges due to the high-resolution meshing required for traditional solvers. To overcome these challenges, this study explores a mesh-free method based on deep…

机器学习 · 计算机科学 2023-12-27 Salah A Faroughi , Ramin Soltanmohammad , Pingki Datta , Seyed Kourosh Mahjour , Shirko Faroughi

Frequency-domain simulation of seismic waves plays an important role in seismic inversion, but it remains challenging in large models. The recently proposed physics-informed neural network (PINN), as an effective deep learning method, has…

地球物理 · 物理学 2022-09-29 Yanqi Wu , Hossein S. Aghamiry , Stephane Operto , Jianwei Ma