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Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics

In this paper, we describe and exploit a geometric framework for Gibbs probability densities and the associated concepts in statistical mechanics, which unifies several earlier works on the subject, including Souriau’s symplectic model of statistical mechanics, its polysymplectic extension, Koszul m...

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Bibliografiske detaljer
Udgivet i:Entropy (Basel)
Main Authors: Barbaresco, Frédéric, Gay-Balmaz, François
Format: Artigo
Sprog:Inglês
Udgivet: MDPI 2020
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7516986/
https://ncbi.nlm.nih.gov/pubmed/33286271
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.3390/e22050498
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