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Infrared image registration of damage in the aircraft skin based on lie group machine learning
The 26th Chinese Control and Decision Conference (2014 CCDC), 2014Yunlin Luo
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Lie group machine learning's axiom hypothesizes
2006 IEEE International Conference on Granular Computing, 2006profound inherent theory. [5] It just can meet the needs of machine learning and describe the procedure of machine learning clearly. So Lie group machine learning is formed. This paper is based on the basic conceptions of machine learning and gives the generalization hypothesis axiom; the partition independence hypothesis axiom; the duality hypothesis ...
Huan Xu, Fanzhang Li
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Souriau-Casimir Lie Groups Thermodynamics and Machine Learning
2021In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in the framework of Symplectic model of Statistical Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines in case of non-null cohomology ...
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Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups
2019Jean-Marie Souriau extended Urbain Jean Joseph Leverrier algorithm to compute characteristic polynomial of a matrix in 1948. This Souriau algorithm could be used to compute exponential map of a matrix that is a challenge in Lie Group Machine Learning.
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Coding & Statistical Characterization of Radar Signal Fluctuation for Lie Group Machine Learning
2019 International Radar Conference (RADAR), 2019This paper describes new geometrical approaches to define the statistics of spatio-temporal measurements of the states of an electromagnetic wave, by using the notion of "average" state of this digital measurement as a Frechet barycenter in a metric space to define and calculate a maximum entropy density (extension of the notion of Gaussian) to ...
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2019
In 1969, Jean-Marie Souriau has introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines thanks to cohomology (non ...
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In 1969, Jean-Marie Souriau has introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines thanks to cohomology (non ...
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Survey on Lie Group Machine Learning
Chinese Journal of Computers, 2010Fan-Zhang LI, Shu-Ping HE, Xu-Pei QIAN
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Machine Learning-Based Lie Detector Applied to a Novel Annotated Game Dataset
Future Internet, 2022Federico Sukno +2 more
exaly
Filtering and Machine Learning on Riemannian Manifolds and Lie Groups
Signal ProcessingSamy Labsir +3 more
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