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Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs
Sparse graphical model Reversible Markov chain Markov equivalence class
2016/1/20
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...
Equivalence Classes of Full-Dimensional 0/1-Polytopes with Many Vertices
n-cube full-dimensional 0/1-polytope symmetry hyperplane Polya theory
2014/6/3
Let Qn denote the n-dimensional hypercube with the vertex set Vn = {0, 1}n. A 0/1-polytope of Qn is a convex hull of a subset of Vn. This paper is concerned with the enumeration of equivalence classes...
Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs
Sparse graphical model Reversible Markovchain Markov equivalence class.
2012/11/23
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...
Some simulation results of Markov equivalence classes
Mathematical statistics Graphical model causal network space of graphs sparse graph
2011/11/9
Directed acyclic graphs (DAGs) and completed partial directed acyclic graphs (CPDAG) are widely used to represent causal systems or uncertain probability systems. Some studies about small graphs with ...
Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equation Point transformation Painleve equation Emden equation
2011/7/6
Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of nonequivalent e...
Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equa-tion Point transformation Painleve equation
2011/7/29
Abstract: Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of noneq...