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

間諜活動

Jean-Marie Souriau’s Symplectic Model of Statistical Physics: Seminal Papers on Lie Groups Thermodyn“Lie groups thermodynamics”. This model was initially described in chapter IV “Statistical Mechanics” of his book “Structure of dynamical systems” published in 1969. We have translated in English some parts of three Souriau’s publications which provide more details about this geometric model of Ther

accrete

Souriau-Casimir Lie Groups Thermodynamics and Machine Learningel considers the statistical mechanics of dynamic systems in their “space of evolution” associated to a homogeneous symplectic manifold by a Lagrange 2-form, and defines in case of non-null cohomology (non equivariance of the coadjoint action on the moment map with appearance of an additional cocyle

aggravate

冬眠

Wrapped Statistical Models on Manifolds: Motivations, The Case ,(,), and Generalization to Symmetric by briefly reviewing the different approaches to build densities on a manifold and shows the interest of wrapped distributions. We then construct wrapped densities on .(.) and discuss their statistical estimation. We conclude by an opening to the case of symmetric spaces.

dithiolethione

Galilean Thermodynamics of Continuansion space. The entropy is generalized as a 4-vector and the temperature as a 5-vector. The introduction of the friction and momentum tensors allows to obtain a covariant formulation of the first and second principles of Thermodynamics.

acquisition

Nonparametric Estimations and the Diffeological Fisher Metricnd slightly extending Lê’s theory in [.] to include weakly .-diffeological statistical models. Then we introduce the resulting notions of the diffeological Fisher distance, the diffeological Hausdorff–Jeffrey measure and explain their role in classical and Bayesian nonparametric estimation problems

歡樂東方

Parameter

被詛咒的人

Dirac Structures and Variational Formulation of Thermodynamics for Open Systemsmics?(see, [., .]). We specifically focus on the case of simple and open systems, in which the thermodynamic state is represented by one single entropy and the transfer of matter and heat with the exterior is included. We clarify the geometric structure by introducing an induced Dirac structure on t

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