A procedure for determining nonlinear causal relationships between two variables is proposed by mapping them into a reproducing kernel Hilbert space (RKHS). The analysis of bivariate dependencies is a component of developing causal models in artificial intelligence for the purpose of managing...

A procedure for determining nonlinear causal relationships between two variables is proposed by mapping them into a reproducing kernel Hilbert space (RKHS). The analysis of bivariate dependencies is a component of developing causal models in artificial intelligence for the purpose of managing...

A simple hypergraph H with vertex set X and edge set 𝐄 is representable by Von Neumann-Morgenstern (VNM)-stable sets - or VNM - if there exists an irreflexive simple digraph D with vertex set X such that each edge of H is a VNM-stable set of D. It is shown that a simple hypergraph H is VNM if...

A simple hypergraph H with vertex set X and edge set 𝐄 is representable by Von Neumann-Morgenstern (VNM)-stable sets - or VNM - if there exists an irreflexive simple digraph D with vertex set X such that each edge of H is a VNM-stable set of D. It is shown that a simple hypergraph H is VNM if...