Titlebook: Geometric Structures of Statistical Physics, Information Geometry, and Learning; SPIGL‘20, Les Houche Frédéric Barbaresco,Frank Nielsen Con

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Computational Dynamics of Reduced Coupled Multibody-Fluid System in Lie Group Settingincorporating boundary integral method and time integrator in Lie group setting. By assuming inviscid and incompressible fluid, the configuration space of the MBS-fluid system is reduced by eliminating fluid variables via symplectic reduction without compromising any accuracy. Consequently, the equa

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Conference proceedings 2021s encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statisti

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2194-1009 w insights from statistical machine learning.Combines numeri.Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay b

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An Exponential Family on the Upper Half Plane and Its Conjugate Priorhe explicit form for the family of Poincaré distributions on the upper half plane. Here, Poincaré distributions are essentially the same with the hyperboloid distributions on the 2-dimensional hyperbolic space in the sense of Jensen.

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,überlagerung von Potentialstr?mungen,ctomorphisms. Souriau Entropy is invariant under the action of the group acting on the homogeneous symplectic manifold. As quoted by Souriau, these equations are universal and could be also of great interest in Mathematics.

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The Geometry of Some Thermodynamic Systemsn and Hamiltonian formalism, discussing the fundamental principles from which the equations are derived. An important class of systems that is naturally covered by our formalism are composed thermodynamic systems, which are described by at least two thermal variables and exchange heat between its components.