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We introduce a physics-informed neural framework for modeling static and time-dependent galactic gravitational potentials. The method combines data-driven learning with embedded physical constraints to capture complex, small-scale features…

星系天体物理 · 物理学 2026-04-02 Charlotte Myers , Nathaniel Starkman , Lina Necib

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

Combining physics with machine learning models has advanced the performance of machine learning models in many different applications. In this paper, we evaluate adding a weak physics constraint, i.e., a physics-based empirical…

地球物理 · 物理学 2024-03-11 Qingkai Kong , William R. Walter , Ruijia Wang , Brandon Schmandt

This paper presents the potential of applying physics-informed neural networks for solving nonlinear multiphysics problems, which are essential to many fields such as biomedical engineering, earthquake prediction, and underground energy…

计算工程、金融与科学 · 计算机科学 2020-07-01 Teeratorn Kadeethum , Thomas M Jorgensen , Hamidreza M Nick

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 introduce a novel physics-informed approach for accurately modeling aggregation kinetics which provides a comprehensive solution in a single run by outputting all model parameters simultaneously, a clear advancement over traditional…

动力系统 · 数学 2024-10-16 Farzona Mukhamedova , Ivan Tyukin , Nikolai Brilliantov

Accurate and physically feasible human motion prediction is crucial for safe and seamless human-robot collaboration. While recent advancements in human motion capture enable real-time pose estimation, the practical value of many existing…

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

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

机器学习 · 计算机科学 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li

Prognostics and Health Management ensures the reliability, safety, and efficiency of complex engineered systems by enabling fault detection, anticipating equipment failures, and optimizing maintenance activities throughout an asset…

Physics-Informed Machine Learning (PIML) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

计算物理 · 物理学 2021-05-26 Samuel J. Raymond , David B. Camarillo

Physics-informed neural networks (PINNs) have emerged as a promising approach to solving partial differential equations (PDEs) using neural networks, particularly in data-scarce scenarios, due to their unsupervised training capability.…

机器学习 · 计算机科学 2025-03-25 Edgar Torres , Jonathan Schiefer , Mathias Niepert

Although physics-informed neural networks(PINNs) have progressed a lot in many real applications recently, there remains problems to be further studied, such as achieving more accurate results, taking less training time, and quantifying the…

机器学习 · 计算机科学 2022-12-01 Bin Shan , Ye Li , Shengjun Huang

Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a lot of attention and is currently used in numerous physical and engineering…

数值分析 · 数学 2025-07-10 Dimitrios Gazoulis , Ioannis Gkanis , Charalambos G. Makridakis

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

Recent applications of machine learning, in particular deep learning, motivate the need to address the generalizability of the statistical inference approaches in physical sciences. In this letter, we introduce a modular physics guided…

机器学习 · 计算机科学 2021-02-03 Suraj Pawar , Omer San , Burak Aksoylu , Adil Rasheed , Trond Kvamsdal

A method is presented that allows to reduce a problem described by differential equations with initial and boundary conditions to the problem described only by differential equations. The advantage of using the modified problem for…

Physics-informed neural networks (PINNs) are one popular approach to incorporate a priori knowledge about physical systems into the learning framework. PINNs are known to be robust for smaller training sets, derive better generalization…

机器学习 · 计算机科学 2024-06-19 Birgit Hillebrecht , Benjamin Unger

Recent advances of data-driven machine learning have revolutionized fields like computer vision, reinforcement learning, and many scientific and engineering domains. In many real-world and scientific problems, systems that generate data are…

机器学习 · 计算机科学 2023-03-08 Zhongkai Hao , Songming Liu , Yichi Zhang , Chengyang Ying , Yao Feng , Hang Su , Jun Zhu

Pathloss prediction is an essential component of wireless network planning. While ray tracing based methods have been successfully used for many years, they require significant computational effort that may become prohibitive with the…

网络与互联网体系结构 · 计算机科学 2023-05-18 Ju-Hyung Lee , Omer Gokalp Serbetci , Dheeraj Panneer Selvam , Andreas F. Molisch