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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), 2014
Yunlin Luo
exaly   +2 more sources

Lie group machine learning's axiom hypothesizes

2006 IEEE International Conference on Granular Computing, 2006
profound 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

2021
In 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

2019
Jean-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.
openaire   +1 more source

Coding & Statistical Characterization of Radar Signal Fluctuation for Lie Group Machine Learning

2019 International Radar Conference (RADAR), 2019
This 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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Lie Group Machine Learning and Gibbs Density on Poincaré Unit Disk from Souriau Lie Groups Thermodynamics and SU(1,1) Coadjoint Orbits

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 ...
openaire   +1 more source

Survey on Lie Group Machine Learning

Chinese Journal of Computers, 2010
Fan-Zhang LI, Shu-Ping HE, Xu-Pei QIAN
openaire   +1 more source

Machine Learning-Based Lie Detector Applied to a Novel Annotated Game Dataset

Future Internet, 2022
Federico Sukno   +2 more
exaly  

Lie Group Machine Learning

2018
Fanzhang Li, Li Zhang, Zhao Zhang
openaire   +1 more source

Filtering and Machine Learning on Riemannian Manifolds and Lie Groups

Signal Processing
Samy Labsir   +3 more
openaire   +1 more source

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