The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.
A new class of metric divergences on probability spaces and its applicability in statistics.Annals of the Institute of Statistical Mathematics, 55(3):639–653, 2003
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An Information-Geometric Justification for Composite Coherence in Event-Based Narrative Extraction
The paper justifies the composite coherence metric in event-based narrative extraction via an information-geometric decomposition on the product manifold and an axiomatic uniqueness proof for the geometric mean.