Visualizing α-geodesics on the probability simplex: exponential vs mixture geometry

FrnkNlsn · x · 2026-08-25

A visualization note on information geometry: α-geodesics drawn on the probability simplex, comparing the exponential family (red), dual mixture geometry (blue), and Levi-Civita connection (purple). A neat geometric fact: α-pregeodesics coincide when they pass through a simplex vertex. PDF linked.

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