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Physics-Informed Gaussian Process Learning on Lie Groups

delete2025-09-01
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PRE
AI
T
Tianzhi Li
J
Jinzhi Wang *
DOI：10.2514/1.G008754delete
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Abstract

Abstract

En
Keywords:
Satellites
Hyperparameter Optimization
Runge Kutta Methods
Geometric Mechanics
Geometric Numerical Integration
Physics-Informed Learning
Lie Groups
Structure-Preserving

Journal

J
Journal of Guidance Control and Dynamics
IF:
2.8
Papers:
198
Citations:
1.3W

Organization

P
peking university
Scholars:
11.9W
Papers: 8.7W
Citations: 146
Cited Papers

Cited Papers

Hamel’s Formalism and Variational Integrators
errFields Institute Communications
IF0
err2015-01-01
err0
PREAI
errBall,Kenneth R.; Zenkov,Dmitry V.
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Reduced dynamics and geometric optimal control of nonequilibrium thermodynamics: Gaussian case☆
errAUTOMATICA
IF5.9
err2024-06-01
err0
PREAI
errLi, Tianzhi; Fu, Rui; Wang, Jinzhi
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Machine learning of linear differential equations using Gaussian processes
errJOURNAL OF COMPUTATIONAL PHYSICS
IF3.8
err2017-11-01
err435
errOAAI
errRaissi, Maziar; Perdikaris, Paris; Karniadakis, George Em
errShare
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Computationally Efficient Rigid-Body Gaussian Process for Motion Dynamics
errIEEE Robotics and Automation Letters
IF0
err2017-07-01
err0
errOAAI
errMuriel Lang; Sandra Hirche
errShare
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Covariance Tracking using Model Update Based on Lie Algebra
err2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06)
IF0
err2025-01-10
err0
PREAI
errF. Porikli; O. Tuzel; P. Meer
errShare
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Modeling and Interpolation of the Ambient Magnetic Field by Gaussian Processes
errIEEE TRANSACTIONS ON ROBOTICS
IF10.5
err2018-08-01
err88
errOAAI
errSolin, Arno; Kok, Manon; Wahlstrom, Niklas; Schon, Thomas B.; Sarkka, Simo
errShare
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Cooperative Control of Uncertain Multiagent Systems via Distributed Gaussian Processes
errIEEE TRANSACTIONS ON AUTOMATIC CONTROL
IF7
err2023-05-01
err18
errOAAI
errLederer, Armin; Yang, Zewen; Jiao, Junjie; Hirche, Sandra
errShare
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Introduction to Smooth Manifolds
errGraduate Texts in Mathematics
IF0
err2012-01-01
err0
PREAI
errJohn M. Lee
errShare
errSave
Hamel’s Formalism for Classical Field Theories
errJournal of Nonlinear Science
IF0
err2020-01-20
err0
PREAI
errDonghua Shi; Dmitry V. Zenkov; Anthony M. Bloch
errShare
errSave
Discrete mechanics and variational integrators
errActa Numerica
IF0
err2003-01-09
err0
errOAAI
errJ. E. Marsden; M. West
errShare
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