Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits

DOI10.1007/978-3-030-26980-7_17zbMath1458.70010OpenAlexW2968876335MaRDI QIDQ2305219

Frédéric Barbaresco

Publication date: 10 March 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-26980-7_17

zbMATH Keywords

coadjoint orbitsmoment mapmaximum entropy densityLie groups thermodynamicscovariant Gibbs densityKirillov representation theoryLie group machine learningSouriau-Fisher metric

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Lie algebras of Lie groups (22E60) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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