ARTICLE
Subject:
Computer Science And Mathematics,
Artificial Intelligence And Machine Learning
Keywords:
Lie Groups Thermodynamics; Lie Group Machine Learning; Kirillov Representation Theory; Coadjoint Orbits, Moment Map; Covariant Gibbs Density; Maximum Entropy Density; Souriau-Fisher Metric; Generalized Casimir Invariant Function
Online: 6 March 2020 (02:49:26 CET)
ARTICLE
|
doi:10.20944/preprints202003.0458.v1
Subject:
Computer Science And Mathematics,
Artificial Intelligence And Machine Learning
Keywords:
Momentum Maps; Cocycles; Lie Group Actions; Coadjoint Orbits; Variational Integrators; (Multi)symplectic Integrators; Fisher Metric; Gibbs Probability Density; Entropy; Lie Group Machine Learning; Casimir Functions
Online: 31 March 2020 (10:28:16 CEST)
ARTICLE
|
doi:10.20944/preprints201608.0078.v2
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Lie Group Thermodynamics; Moment map; Gibbs Density; Gibbs Equilibrium; Maximum Entropy; Information Geometry; Symplectic Geometry; Cartan-Poincaré Integral Invariant; Geometric Mechanics; Euler-Poincaré Equation; Fisher Metric; Gauge Theory; Affine Group
Online: 21 September 2016 (06:13:21 CEST)