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Physics-Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ)…

机器学习 · 计算机科学 2026-01-08 Ibai Ramirez , Jokin Alcibar , Joel Pino , Mikel Sanz , Jose I. Aizpurua

Physics-informed neural networks (PINNs) have emerged as a promising mesh-free paradigm for solving partial differential equations, yet adoption in science and engineering is limited by slow training and modest accuracy relative to modern…

计算工程、金融与科学 · 计算机科学 2026-02-24 Pao-Hsiung Chiu , Jian Cheng Wong , Chin Chun Ooi , Chang Wei , Yuchen Fan , Yew-Soon Ong

Paleoclimatic measurements serve to understand Earth System processes and evaluate climate model performances. However, their spatial coverage is generally sparse and unevenly distributed across the globe. Statistical interpolation methods…

We propose a consistent physics-informed neural networks (CPINNs) framework for elliptic obstacle problems formulated as variational inequalities. The method is based on a mixed loss functional that is rigorously aligned with the stability…

数值分析 · 数学 2026-04-03 Arbaz Khan , Kent-Andre Mardal , Shiv Mishra

Physics-Informed Neural Networks (PINNs) combine deep learning with physical constraints for solving partial differential equations (PDEs), and are widely applied in fluid mechanics, heat transfer, and solid mechanics. However, PINN…

机器学习 · 计算机科学 2026-05-18 Xujia Chen , Xinyue Hu , Letian Chen , Daming Shi , Wenhui Fan

Space debris is a major threat to the satellite infrastructure. A collision with even small particle, e.g. 1 cm of size, can cause a catastrophic event when the parent body, spacecraft or upper stage, will break up into hundreds of…

地球与行星天体物理 · 物理学 2020-12-24 Jiri Silha

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

数值分析 · 数学 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

Space debris is on the rise due to the increasing demand for spacecraft for com-munication, navigation, and other applications. The Space Surveillance Network (SSN) tracks over 27,000 large pieces of debris and estimates the number of…

机器人学 · 计算机科学 2023-01-24 Trupti Mahendrakar , Steven Holmberg , Andrew Ekblad , Emma Conti , Ryan T. White , Markus Wilde , Isaac Silver

Due to divergence instability, the accuracy of low-order conforming finite element methods for nearly incompressible elasticity equations deteriorates as the Lam\'e coefficient $\lambda\to\infty$, or equivalently as the Poisson ratio…

数值分析 · 数学 2025-10-24 Josef Dick , Seungchan Ko , Quoc Thong Le Gia , Kassem Mustapha , Sanghyeon Park

We propose characteristics-informed neural networks (CINN), a simple and efficient machine learning approach for solving forward and inverse problems involving hyperbolic PDEs. Like physics-informed neural networks (PINN), CINN is a…

机器学习 · 计算机科学 2023-01-16 Ulisses Braga-Neto

Neural networks (NNs) accelerate simulations of quantum dissipative dynamics. Ensuring that these simulations adhere to fundamental physical laws is crucial, but has been largely ignored in the state-of-the-art NN approaches. We show that…

化学物理 · 物理学 2024-09-06 Arif Ullah , Yu Huang , Ming Yang , Pavlo O. Dral

We demonstrate a deep learning framework capable of recovering physical parameters from the Nonlinear Schrodinger Equation (NLSE) under severe noise conditions. By integrating Physics-Informed Neural Networks (PINNs) with automatic…

机器学习 · 计算机科学 2026-01-08 Pietro de Oliveira Esteves

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

This paper introduces a novel method using chaser spacecraft image processing and Convolutional Neural Networks (CNNs) to detect structural markers on the European Space Agency's (ESA) Environmental Satellite (ENVISAT) for safe de-orbiting.…

计算机视觉与模式识别 · 计算机科学 2024-07-31 Batu Candan , Simone Servadio

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

机器学习 · 计算机科学 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel

Variational inequalities are widely applied in mechanical engineering, fluid penetration, transportation, and other fields. In this paper, a Deep Ritz method based on Physics-Informed Neural Networks (PINNs) is proposed to enhance the…

数值分析 · 数学 2026-03-13 Qijia Zhou , Yiyang Wang , Shengyuan Deng , Chenliang Li

The exponential increase in orbital debris and active satellites will lead to congested orbits, necessitating more frequent collision avoidance maneuvers by satellites. To minimize fuel consumption while ensuring the safety of satellites,…

系统与控制 · 电气工程与系统科学 2024-12-24 Kanghyun Ryu , Jean-Baptiste Bouvier , Shazaib Lalani , Siegfried Eggl , Negar Mehr

Autonomous navigation of ground robots has been widely used in indoor structured 2D environments, but there are still many challenges in outdoor 3D unstructured environments, especially in rough, uneven terrains. This paper proposed a…

机器人学 · 计算机科学 2022-09-28 Zhuozhu Jian , Zihong Lu , Xiao Zhou , Bin Lan , Anxing Xiao , Xueqian Wang , Bin Liang

Flexoelectricity, the coupling between strain gradients and electric polarization, poses significant computational challenges due to its governing fourth-order partial differential equations that require C1-continuous solutions. To address…

计算物理 · 物理学 2025-06-30 Hyeonbin Moon , Donggeun Park , Jinwook Yeo , Seunghwa Ryu

Aerodynamic collision avoidance manoeuvres provide an opportunity for satellites in Low Earth Orbits to reduce the risk during close encounters. With rising numbers of satellites and objects in orbit, satellites experience close encounters…

空间物理 · 物理学 2023-06-28 F. Turco , C. Traub , S. Gaißer , J. Burgdorf , S. Klinkner , S. Fasoulas