Higher-order Fisher tensors in exponential-family coordinates of binned energy correlators are simultaneously local KL coefficients, connected cumulants, and hyperedge weights, enabling hypergraph constructions for jet substructure analysis.
Springer
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Moduli spaces of left-invariant statistical structures are introduced and computed on three Lie groups with unique left-invariant metrics, yielding classifications of conjugate-symmetric and dually-flat structures.
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From Information Geometry to Jet Substructure: A Triality of Cumulant Tensors, Energy Correlators, and Hypergraphs
Higher-order Fisher tensors in exponential-family coordinates of binned energy correlators are simultaneously local KL coefficients, connected cumulants, and hyperedge weights, enabling hypergraph constructions for jet substructure analysis.
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The moduli spaces of left-invariant statistical structures on Lie groups
Moduli spaces of left-invariant statistical structures are introduced and computed on three Lie groups with unique left-invariant metrics, yielding classifications of conjugate-symmetric and dually-flat structures.