Progress in Information Geometry

Progress in Information Geometry

Theory and Applications

Nielsen, Frank

Springer Nature Switzerland AG

03/2021

274

Dura

Inglês

9783030654580

15 a 20 dias

652

Descrição não disponível.
Information Geometry of smooth densities on the Gaussian space: Poincare inequalities.- On Normalization Functions and ?-families of Probability Distributions.- Affine Connections with Torsion in (para-)complexified Structures.- Contact Hamiltonian systems for probability distribution functions and expectation variables: A study based on a class of master equations.- Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures.- Gauge freedom of entropies on q-Gaussian measures.- On geodesic triangles with right angles in a dually flat space.- Chain Rule Optimal Transport.- Towards the "Shape" of Cosmological Observables and the String Theory Landscape with Topological Data Analysis.- A review of two decades of correlations, hierarchies, networks and clustering in financial markets.
Hessian Information Geometry;Shape Space;Monotone Embedding;Stochastic Geometric Mechanics;Riemannian Manifolds;Geometric Deep Learning;Lie Group Thermodynamics;Probability Density Estimation;Geometry of quantum states;GSI'2019;data-driven science, modeling and theory building