Lie Group Statistics and Lie Group Machine Learning Based on Souriau Lie Groups Thermodynamics & Koszul-Souriau-Fisher Metric: New Entropy Definition as Generalized Casimir Invaria...

by Frédéric Barbaresco
Published 2020-06-01

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

by Frédéric Barbaresco
Published 2016-11-01

Koszul Information Geometry and Souriau Geometric Temperature/Capacity of Lie Group Thermodynamics

by Frédéric Barbaresco
Published 2014-08-01

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 Machin...

by Frédéric Barbaresco
Published 2018-11-01

Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on Souriau Geometric Statistical Mechanics

by Frédéric Barbaresco, François Gay-Balmaz
Published 2020-04-01

Joseph Fourier 250thBirthday: Modern Fourier Analysis and Fourier Heat Equation in Information Sciences for the XXIst Century

by Frédéric Barbaresco, Jean-Pierre Gazeau
Published 2019-03-01

Kernel Density Estimation on the Siegel Space with an Application to Radar Processing

by Emmanuel Chevallier, Thibault Forget, Frédéric Barbaresco, Jesus Angulo
Published 2016-11-01