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For multi-scale problems, the conventional physics-informed neural networks (PINNs) face some challenges in obtaining available predictions. In this paper, based on PINNs, we propose a practical deep learning framework for multi-scale…

机器学习 · 计算机科学 2024-12-18 Yong Wang , Yanzhong Yao , Jiawei Guo , Zhiming Gao

Physics-informed neural networks (PINNs) face significant challenges in modeling multi-frequency wavefields in complex velocity models due to their slow convergence, difficulty in representing high-frequency details, and lack of…

机器学习 · 计算机科学 2025-02-04 Shijun Cheng , Tariq Alkhalifah

As one kind important phase field equations, Cahn-Hilliard equations contain spatial high order derivatives, strong nonlinearities, and even singularities. When using the physics informed neural network (PINN) to simulate the long time…

数值分析 · 数学 2024-04-30 Huang Qiumei , Ma Jiaxuan , Xu Zhen

Accurate separation of P- and S-waves is essential for multi-component seismic data processing, as it helps eliminate interference between wave modes during imaging or inversion, which leads to high-accuracy results. Traditional methods for…

地球物理 · 物理学 2025-04-11 Xinru Mu , Shijun Cheng , Tariq Alkhalifah

Reconstructing fields from sparsely observed data is an ill-posed problem that arises in many engineering and science applications. Here, we investigate the use of physics-informed neural networks (PINNs) to reconstruct complete…

流体动力学 · 物理学 2024-10-11 Nagahiro Ohashi , Leslie K. Hwang , Beomjin Kwon

Accurate representation of wells is essential for reliable reservoir characterization and simulation of operational scenarios in subsurface flow models. Physics-informed neural networks (PINNs) have recently emerged as a promising method…

流体动力学 · 物理学 2026-05-25 Linus Walter , Qingkai Kong , Sara Hanson-Hedgecock , Víctor Vilarrasa

In this work, we study physics-informed neural networks (PINNs) constrained by partial differential equations (PDEs) and their application in approximating PDEs with two characteristic scales. From a continuous perspective, our formulation…

最优化与控制 · 数学 2024-09-06 Michael Hintermüller , Denis Korolev

We introduce a physics-informed neural network (PINN) method to study thermoacoustic interactions leading to combustion instability in combustors. Specifically, we employ a PINN to investigate thermoacoustic interactions in a bluff body…

流体动力学 · 物理学 2024-10-18 Sathesh Mariappan , Kamaljyoti Nath , George Em Karniadakis

Physics-informed neural networks (PINNs) are effective in solving integer-order partial differential equations (PDEs) based on scattered and noisy data. PINNs employ standard feedforward neural networks (NNs) with the PDEs explicitly…

计算物理 · 物理学 2021-11-03 Guofei Pang , Lu Lu , George Em Karniadakis

The neutron diffusion equation plays a pivotal role in the analysis of nuclear reactors. Nevertheless, employing the Physics-Informed Neural Network (PINN) method for its solution entails certain limitations. Traditional PINN approaches…

机器学习 · 计算机科学 2024-07-17 Heng Zhang , Yun-Ling He , Dong Liu , Qin Hang , He-Min Yao , Di Xiang

Computer-generated holography (CGH) enables applications in holographic augmented reality (AR), 3D displays, systems neuroscience, and optical trapping. The fundamental challenge in CGH is solving the inverse problem of phase retrieval from…

计算机视觉与模式识别 · 计算机科学 2025-05-02 Ankit Amrutkar , Björn Kampa , Volkmar Schulz , Johannes Stegmaier , Markus Rothermel , Dorit Merhof

Physics-informed neural networks (PINNs) have great potential for flexibility and effectiveness in forward modeling and inversion of seismic waves. However, coordinate-based neural networks (NNs) commonly suffer from the "spectral bias"…

地球物理 · 物理学 2025-06-19 Yi Ding , Su Chen , Hiroe Miyake , Xiaojun Li

Recently, implicit neural representations (INR) have made significant strides in various vision-related domains, providing a novel solution for Multispectral and Hyperspectral Image Fusion (MHIF) tasks. However, INR is prone to losing…

计算机视觉与模式识别 · 计算机科学 2024-04-24 Yu-Jie Liang , Zihan Cao , Liang-Jian Deng , Xiao Wu

Physics-informed Neural Networks (PINNs) have recently gained popularity due to their effective approximation of partial differential equations (PDEs) using deep neural networks (DNNs). However, their out of domain behavior is not well…

机器学习 · 计算机科学 2023-11-28 Lukas Fesser , Luca D'Amico-Wong , Richard Qiu

This study benchmarks hybrid quantum physics-informed neural network (HQPINN) to model high-speed flows, compared against classical physics-informed neural networks (PINNs) and fully quantum neural networks (QNNs). The HQPINN architecture…

计算物理 · 物理学 2025-08-04 Fong Yew Leong , Wei-Bin Ewe , Tran Si Bui Quang , Zhongyuan Zhang , Jun Yong Khoo

We propose gradient-enhanced PINNs based on transfer learning (TL-gPINNs) for inverse problems of the function coefficient discovery in order to overcome deficiency of the discrete characterization of the PDE loss in neural networks and…

数值分析 · 数学 2023-05-16 Shuning Lin , Yong Chen

Radio map reconstruction is essential for enabling advanced applications, yet challenges such as complex signal propagation and sparse observational data hinder accurate reconstruction in practical scenarios. Existing methods often fail to…

计算机视觉与模式识别 · 计算机科学 2025-09-19 Haozhe Jia , Wenshuo Chen , Zhihui Huang , Lei Wang , Hongru Xiao , Nanqian Jia , Keming Wu , Songning Lai , Bowen Tian , Yutao Yue

Microseismic source imaging plays a significant role in passive seismic monitoring. However, such a process is prone to failure due to aliasing when dealing with sparsely measured data. Thus, we propose a direct microseismic imaging…

地球物理 · 物理学 2024-02-27 Xinquan Huang , Tariq Alkhalifah

This study explores the potential of physics-informed neural networks (PINNs) for the realization of digital twins (DT) from various perspectives. First, various adaptive sampling approaches for collocation points are investigated to verify…

流体动力学 · 物理学 2024-05-21 Sunwoong Yang , Hojin Kim , Yoonpyo Hong , Kwanjung Yee , Romit Maulik , Namwoo Kang

Interpolation of aliased seismic data constitutes a key step in a seismic processing workflow to obtain high quality velocity models and seismic images. Building on the idea of describing seismic wavefields as a superposition of local plane…

地球物理 · 物理学 2023-12-12 Francesco Brandolin , Matteo Ravasi , Tariq Alkhalifah
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