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This paper presents a data driven universal ball trajectory prediction method integrated with physics equations. Existing methods are designed for specific ball types and struggle to generalize. This challenge arises from three key factors.…

机器学习 · 计算机科学 2025-03-26 Zhiwei Shi , Chengxi Zhu , Fan Yang , Jun Yan , Zheyun Qin , Songquan Shi , Zhumin Chen

Physics-informed neural networks have emerged as a coherent framework for building predictive models that combine statistical patterns with domain knowledge. The underlying notion is to enrich the optimization loss function with known…

宇宙学与河外天体物理 · 物理学 2023-10-20 Zhenyu Dai , Ben Moews , Ricardo Vilalta , Romeel Dave

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

计算物理 · 物理学 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Traditionally, numerical models have been deployed in oceanography studies to simulate ocean dynamics by representing physical equations. However, many factors pertaining to ocean dynamics seem to be ill-defined. We argue that transferring…

机器学习 · 计算机科学 2023-05-03 Yuxin Meng , Feng Gao , Eric Rigall , Ran Dong , Junyu Dong , Qian Du

Applications of neural networks to data analyses in natural sciences are complicated by the fact that many inputs are subject to systematic uncertainties. To control the dependence of the neural network function to variations of the input…

数据分析、统计与概率 · 物理学 2020-02-25 Stefan Wunsch , Simon Jörger , Roger Wolf , Günter Quast

In this paper, we developed a new PINN-based model to predict the potential of point-charged particles surrounded by conductive walls. As a result of the proposed physics-informed neural network model, the mean square error and R2 score are…

计算物理 · 物理学 2023-01-06 Fatemeh Hafezianzade , Morad Biagooi , SeyedEhsan Nedaaee Oskoee

Inertial measurement units are commonly used to estimate the attitude of moving objects. Numerous nonlinear filter approaches have been proposed for solving the inherent sensor fusion problem. However, when a large range of different…

机器学习 · 计算机科学 2021-08-11 Daniel Weber , Clemens Gühmann , Thomas Seel

Scientific modeling faces a tradeoff between the interpretability of mechanistic theory and the predictive power of machine learning. While existing hybrid approaches have made progress by incorporating domain knowledge into machine…

机器学习 · 计算机科学 2026-04-15 Carson Dudley , Reiden Magdaleno , Christopher Harding , Marisa Eisenberg

Attitude control is a fundamental aspect of spacecraft operations. Model Predictive Control (MPC) has emerged as a powerful strategy for these tasks, relying on accurate models of the system dynamics to optimize control actions over a…

机器学习 · 计算机科学 2026-03-30 Carlo Cena , Mauro Martini , Marcello Chiaberge

In numerical modeling of the Earth System, many processes remain unknown or ill represented (let us quote sub-grid processes, the dependence to unknown latent variables or the non-inclusion of complex dynamics in numerical models) but…

数据分析、统计与概率 · 物理学 2019-03-19 Julien Brajard , Anastase Charantonis , Jérôme Sirven

Developing universal Positioning, Navigation, and Timing (PNT) is our enduring goal. Today's complex environments demand PNT that is more resilient, energy-efficient and cognitively capable. This paper asks how we can endow unmanned systems…

A promising approach to improve climate-model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data-driven. However, neural networks (NNs) often lead…

大气与海洋物理 · 物理学 2021-04-07 Janni Yuval , Paul A. O'Gorman , Chris N. Hill

Constructing first-principles models is usually a challenging and time-consuming task due to the complexity of the real-life processes. On the other hand, data-driven modeling, and in particular neural network models often suffer from…

最优化与控制 · 数学 2023-02-03 Ece S. Koksal , Erdal Aydin

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

Parameter Estimation (PE) and State Estimation (SE) are the most wide-spread tasks in the system engineering. They need to be done automatically, fast and frequently, as measurements arrive. Deep Learning (DL) holds the promise of tackling…

机器学习 · 计算机科学 2021-02-15 Laurent Pagnier , Michael Chertkov

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

机器学习 · 计算机科学 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Various engineering systems such as naval and aerial vehicles, offshore structures, and mechanical components of motorized systems, are exposed to fatigue failures due to stochastic loadings. Methods for early failure prediction are…

机器学习 · 计算机科学 2021-04-06 Maor Farid

With several advantages and as an alternative to predict physics field, machine learning methods can be classified into two distinct types: data-driven relying on training data and physics-driven using physics law. Choosing heat conduction…

计算物理 · 物理学 2020-05-19 Hao Ma , Xiangyu Hu , Yuxuan Zhang , Nils Thuerey , Oskar J. Haidn

Physics Informed Neural Networks offer a mesh free framework for solving PDEs but are highly sensitive to loss weight selection. We propose two dimensional analysis based weighting schemes, one based on quantifiable terms, and another also…

机器学习 · 计算机科学 2025-10-01 Yi En Chou , Te Hsin Liu , Chao-An Lin

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

机器学习 · 计算机科学 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris