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Workshop

Entropy functions, information inequalities and polymatroids

  • František Matúš (Academy of Sciences of the Czech Republic, Prague, Czech Republic)
G3 10 (Lecture hall)

Abstract

Shannon entropies of all subvectors of a random vector are considered for the coordinates of an entropic point in a Euclidean space. The problem to find all entropic points will be reviewed and its relation to conditional independence structures discussed. Inequalities for the entropic points and their applications will be presented from the viewpoint of cones of polymatroids.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Leipzig

František Matúš

Academy of Sciences of the Czech Republic, Prague