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Power flow analysis plays a critical role in the control and operation of power systems. The high computational burden of traditional solution methods led to a shift towards data-driven approaches, exploiting the availability of digital…

系统与控制 · 电气工程与系统科学 2024-09-17 Victor Eeckhout , Hossein Fani , Md Umar Hashmi , Geert Deconinck

Physics-informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics-informed neural network models suffer from several…

计算工程、金融与科学 · 计算机科学 2022-11-29 Diab W. Abueidda , Seid Koric , Erman Guleryuz , Nahil A. Sobh

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

数值分析 · 数学 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Magnetotelluric deep learning (DL) inversion methods based on joint data-driven and physics-driven have become a hot topic in recent years. When mapping observation data (or forward modeling data) to the resistivity model using neural…

地球物理 · 物理学 2025-05-19 Peifan Jiang , Xuben Wang , Shuang Wang , Fei Deng , Kunpeng Wang , Bin Wang , Yuhan Yang

Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments…

图像与视频处理 · 电气工程与系统科学 2022-10-17 Kerstin Hammernik , Thomas Küstner , Burhaneddin Yaman , Zhengnan Huang , Daniel Rueckert , Florian Knoll , Mehmet Akçakaya

Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

This work proposes a solution for the problem of training physics-informed networks under partial integro-differential equations. These equations require an infinite or a large number of neural evaluations to construct a single residual for…

机器学习 · 计算机科学 2024-06-12 Ehsan Saleh , Saba Ghaffari , Timothy Bretl , Luke Olson , Matthew West

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

This paper introduces an innovative physics-informed deep learning framework for metamodeling of nonlinear structural systems with scarce data. The basic concept is to incorporate physics knowledge (e.g., laws of physics, scientific…

计算工程、金融与科学 · 计算机科学 2020-07-15 Ruiyang Zhang , Yang Liu , Hao Sun

A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes. The governing equilibrium and mass balance equations are discussed and specific derivations for two-dimensional cases are…

计算工程、金融与科学 · 计算机科学 2020-10-30 Yared W. Bekele

Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settings such as optimization and uncertainty quantification. For…

数值分析 · 数学 2020-08-26 Han Gao , Jian-Xun Wang , Matthew J. Zahr

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

数值分析 · 数学 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

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

We propose a deep learning-based approach that integrates MRI sequence parameters to improve the accuracy and generalizability of quantitative image synthesis from clinical weighted MRI. Our physics-driven neural network embeds MRI sequence…

图像与视频处理 · 电气工程与系统科学 2025-08-12 Lingjing Chen , Chengxiu Zhang , Yinqiao Yi , Yida Wang , Yang Song , Xu Yan , Shengfang Xu , Dalin Zhu , Mengqiu Cao , Yan Zhou , Chenglong Wang , Guang Yang

In this paper, we investigate whether is it possible to train a neural network directly from user inputs. We consider this approach to be highly relevant for applications in which the point of optimality is not well-defined and…

计算机视觉与模式识别 · 计算机科学 2018-12-24 Shahab Zarei , Bernhard Stimpel , Christopher Syben , Andreas Maier

Ever-increasing throughput specifications in semiconductor manufacturing require operating high-precision mechatronics, such as linear motors, at higher accelerations. In turn this creates higher nonlinear parasitic forces that cannot be…

系统与控制 · 电气工程与系统科学 2021-03-11 Max Bolderman , Mircea Lazar , Hans Butler

In control design most control strategies are model-based and require accurate models to be applied successfully. Due to simplifications and the model-reality-gap physics-derived models frequently exhibit deviations from real-world-systems.…

最优化与控制 · 数学 2022-08-09 Ricarda-Samantha Götte , Julia Timmermann

Tracking performance of physical-model-based feedforward control for interventional X-ray systems is limited by hard-to-model parasitic nonlinear dynamics, such as cable forces and nonlinear friction. In this paper, these nonlinear dynamics…

系统与控制 · 电气工程与系统科学 2023-03-29 Johan Kon , Naomi de Vos , Dennis Bruijnen , Jeroen van de Wijdeven , Marcel Heertjes , Tom Oomen

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

机器学习 · 计算机科学 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

A successful deep learning network is highly dependent not only on the training dataset, but the training algorithm used to condition the network for a given task. The loss function, dataset, and tuning of hyperparameters all play an…

机器学习 · 计算机科学 2025-10-07 Ashley Lenau , Dennis Dimiduk , Stephen R. Niezgoda
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