Conditional Independences among Four Random Variables I

DOI10.1017/S0963548300001644zbMath0839.60004OpenAlexW4247719530MaRDI QIDQ4862747

Milan Studený, František Matúš

Publication date: 28 May 1996

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0963548300001644

zbMATH Keywords

matroidsfunctional dependencepolymatroidsShannon entropyconditional independenceprobabilistic representationsIngleton inequalitysemimatroidsdependence/independence structures/relations

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Probabilistic measure theory (60A10) Combinatorial aspects of matroids and geometric lattices (05B35)

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Unnamed Item ⋮ On Entropy, Information Inequalities, and Groups ⋮ Gaussoids are two-antecedental approximations of Gaussian conditional independence structures ⋮ On group violations of inequalities in five subgroups ⋮ Research-data management planning in the German mathematical community ⋮ Bipartite secret sharing and staircases ⋮ Towards classification of semigraphoids. ⋮ Adhesivity of polymatroids ⋮ On the toric algebra of graphical models ⋮ Using multiobjective optimization to map the entropy region ⋮ Unnamed Item ⋮ Matroid representations by partitions ⋮ Contribution of Frantisek Matus to the research on conditional independence ⋮ One-adhesive polymatroids ⋮ Violations of the Ingleton inequality and revising the four-atom conjecture ⋮ Tropical probability theory and an application to the entropic cone

Cites Work

• Unnamed Item
• Extreme convex set functions with many nonnegative differences
• On equivalence of Markov properties over undirected graphs
• Polymatroidal dependence structure of a set of random variables
• STRUCTURAL SEMIGRAPHOIDS¹
• DESCRIPTION OF STRUCTURES OF STOCHASTIC CONDITIONAL INDEPENDENCE BY MEANS OF FACES AND IMSETS 1st part: introduction and basic concepts¹

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