The Flatness of Statistical Manifolds for Acyclic Graphs: Characterizing the Statistical Vacuum Einstein Condition
Zhuravlev, Max;
The Flatness of Statistical Manifolds for Acyclic Graphs: Characterizing the Statistical Vacuum Einstein Condition
Exact curvature formulas for Fisher information manifolds on discrete graphical models. Proves tree graphs satisfy G_ab = 0 (statistical vacuum Einstein condition). Census verification on 839 connected graphs.
information geometry, Fisher information, lattice models, curvature, Ising model, statistical mechanics, critical phenomena, acyclic graphs, Einstein equation, statistical manifold
information geometry, Fisher information, lattice models, curvature, Ising model, statistical mechanics, critical phenomena, acyclic graphs, Einstein equation, statistical manifold
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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