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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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Detaylı Bibliyografya
Yayımlandı:Entropy (Basel)
Asıl Yazarlar: Barbaresco, Frédéric, Gay-Balmaz, François
Materyal Türü: Artigo
Dil:Inglês
Baskı/Yayın Bilgisi: MDPI 2020
Konular:
Online Erişim: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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