Bridging Information Geometry and Spectral Risk Geometry
Unreviewed draft. This paper has not been human-reviewed.
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Abstract
Information geometry and risk geometry have developed in parallel, with limited structural unification. We construct a bridge that maps statistical manifold structure to spectral risk coordinates, proving compatibility results between information-theoretic curvature objects and risk-distance functionals. This yields a common geometric language for inference and financial risk control.
Length
1,689 words
Claims
2 theorems
Status
Draft