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Joseph Fourier 250th Birthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst Century.
Entropy (Basel). 2019 Mar 6;21(3):250. doi: 10.3390/e21030250.
Entropy (Basel). 2019.
PMID: 33266965
Free PMC article.
Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics.
Barbaresco F, Gay-Balmaz F.
Barbaresco F, et al.
Entropy (Basel). 2020 Apr 25;22(5):498. doi: 10.3390/e22050498.
Entropy (Basel). 2020.
PMID: 33286271
Free PMC article.
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Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machine Learning.
Barbaresco F.
Barbaresco F.
Entropy (Basel). 2018 Nov 2;20(11):840. doi: 10.3390/e20110840.
Entropy (Basel). 2018.
PMID: 33266564
Free PMC article.
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Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation.
Barbaresco F.
Barbaresco F.
Entropy (Basel). 2022 Nov 9;24(11):1626. doi: 10.3390/e24111626.
Entropy (Basel). 2022.
PMID: 36359716
Free PMC article.
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Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invariant Function in Coadjoint Representation.
Barbaresco F.
Barbaresco F.
Entropy (Basel). 2020 Jun 9;22(6):642. doi: 10.3390/e22060642.
Entropy (Basel). 2020.
PMID: 33286414
Free PMC article.
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