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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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Detalhes bibliográficos
Publicado no:Entropy (Basel)
Main Authors: Barbaresco, Frédéric, Gay-Balmaz, François
Formato: Artigo
Idioma:Inglês
Publicado em: MDPI 2020
Assuntos:
Acesso em linha: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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