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This paper introduces a framework based on physics-informed neural networks (PINNs) for addressing key challenges in nonlinear lattices, including solution approximation, bifurcation diagram construction, and linear stability analysis. We…

This work introduces the Spacecraft Pose Network (SPN) for on-board estimation of the pose, i.e., the relative position and attitude, of a known non-cooperative spacecraft using monocular vision. In contrast to other state-of-the-art pose…

计算机视觉与模式识别 · 计算机科学 2019-06-25 Sumant Sharma , Simone D'Amico

Maneuverable tether-net systems launched from an unmanned spacecraft offer a promising solution for the active removal of large space debris. Guaranteeing the successful capture of such space debris is dependent on the ability to reliably…

系统与控制 · 电气工程与系统科学 2024-03-13 Achira Boonrath , Feng Liu , Elenora M. Botta , Souma Chowdhury

Orbital debris is a constraint on the long-term health of any spacecraft and must be considered during mission planning. Varying mechanisms have been proposed to quantify the problem. Assessment of orbital debris employing ground-based…

空间物理 · 物理学 2007-05-23 J. A. Carmona , M. Cook , M. Cooper , J. Schmoke , J. Reay , L. Matthews , T. Hyde

System identification under unknown external excitation is an inherently ill-posed problem, typically requiring additional knowledge or simplifying assumptions to enable reliable state and parameter estimation. The difficulty of the problem…

信号处理 · 电气工程与系统科学 2025-11-11 Antonina Kosikova , Apostolos Psaros , Andrew Smyth

Physics-informed neural networks (PINNs) are a new tool for solving boundary value problems by defining loss functions of neural networks based on governing equations, boundary conditions, and initial conditions. Recent investigations have…

计算工程、金融与科学 · 计算机科学 2023-11-14 Ali Harandi , Ahmad Moeineddin , Michael Kaliske , Stefanie Reese , Shahed Rezaei

We consider sampling and detection strategies for solar illuminated space debris. We argue that the lowest detectable debris cross section may be reduced by 10-100x by analysis of stacks of image frames collected at high rates rather than…

地球与行星天体物理 · 物理学 2025-12-02 Hasan Bahcivan , David J. Brady , Gordon C. Hageman

Temporally and spatially dependent uncertain parameters are regularly encountered in engineering applications. Commonly these uncertainties are accounted for using random fields and processes, which require knowledge about the appearing…

数值分析 · 数学 2021-11-23 Jan Niklas Fuhg , Ioannis Kalogeris , Amélie Fau , Nikolaos Bouklas

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

系统与控制 · 电气工程与系统科学 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

Physics-informed neural networks (PINNs) have recently emerged as a promising alternative for extracting unknown quantities from experimental data. Despite this potential, much of the recent literature has relied on sparse, high-fidelity…

流体动力学 · 物理学 2026-01-09 Christian Toma , Bharathram Ganapathisubramani , Sean Symon

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for solving differential equations by integrating physical laws into the learning process. This work leverages PINNs to simulate gravitational collapse, a critical…

宇宙学与河外天体物理 · 物理学 2025-06-04 Ashutosh Kumar Mishra , Emma Tolley

We develop a flexible framework based on physics-informed neural networks (PINNs) for solving boundary value problems involving minimal surfaces in curved spacetimes, with a particular emphasis on singularities and moving boundaries. By…

高能物理 - 理论 · 物理学 2025-09-17 Koji Hashimoto , Koichi Kyo , Masaki Murata , Gakuto Ogiwara , Norihiro Tanahashi

Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

机器学习 · 统计学 2024-06-21 Philipp Pilar , Niklas Wahlström

We propose a mesh-free policy iteration framework based on physics-informed neural networks (PINNs) for solving entropy-regularized stochastic control problems. The method iteratively alternates between soft policy evaluation and…

数值分析 · 数学 2025-11-18 Yeongjong Kim , Namkyeong Cho , Minseok Kim , Yeoneung Kim

Space debris and inactive satellites pose a threat to the safety and integrity of operational spacecraft and motivate the need for space situational awareness techniques. These uncooperative targets create a challenging tracking and…

计算机视觉与模式识别 · 计算机科学 2024-08-23 Hannah Grauer , Elena-Sorina Lupu , Connor Lee , Soon-Jo Chung , Darren Rowen , Benjamen Bycroft , Phaedrus Leeds , John Brader

Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional…

Accretion disks are ubiquitous in astrophysics, appearing in diverse environments from planet-forming systems to X-ray binaries and active galactic nuclei. Traditionally, modeling their dynamics requires computationally intensive…

地球与行星天体物理 · 物理学 2025-09-26 Shunyuan Mao , Weiqi Wang , Sifan Wang , Ruobing Dong , Lu Lu , Kwang Moo Yi , Paris Perdikaris , Andrea Isella , Sébastien Fabbro , Lile Wang

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

Physics-Informed Neural Networks (PINNs) are a novel computational approach for solving partial differential equations (PDEs) with noisy and sparse initial and boundary data. Although, efficient quantification of epistemic and aleatoric…

We present a physics-informed neural network (PINN) approach for the discovery of slow invariant manifolds (SIMs), for the most general class of fast/slow dynamical systems of ODEs. In contrast to other machine learning (ML) approaches that…

数值分析 · 数学 2025-06-24 Dimitrios G. Patsatzis , Lucia Russo , Constantinos Siettos