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A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions

A Simple Approximation Method for the Fisher–Rao Distance between Multivariate Normal Distributions

We present a simple method to approximate the Fisher–Rao distance between multivariate normal distributions based on discretizing curves joining normal distributions and approximating the Fisher–Rao distances between successive nearby normal distributions on the curves by the square roots of their Jeffreys divergences. We consider experimentally the linear interpolation curves in …