Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation.

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作者： Frédéric,Barbaresco ^[1]

作者单位： Key Technology Domain PCC (Processing, Control & Cognition) Representative, Thales Land & Air Systems, Voie Pierre-Gilles de Gennes, F91470 Limours, France. ^[1]

关键词 Kirillov representation theory Lie group machine learning Lie groups thermodynamics Souriau-Fisher metric coadjoint orbits covariant Gibbs density generalized Casimir invariant function maximum entropy density moment map

DOI 10.3390/e22060642

PMID 33286414

发布时间 2024-03-29

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Entropy (Basel, Switzerland)

2020年22卷6期

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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation.

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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics &amp; Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation.

Entropy (Basel, Switzerland)

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Entropy (Basel, Switzerland)

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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation.