Information geometry exactly characterizes Chernoff info between Gaussians without closed forms
FrnkNlsn · x · 2026-09-28
FrnkNlsn highlights information geometry, which studies information theory through the lens of synthetic geometry.
His example: although Chernoff information between multivariate normal distributions has no known closed-form expression, information geometry still allows an exact geometric characterization of it. A linked paper is attached.
The post illustrates how geometric structure can rigorously describe classical information-theoretic quantities even when analytic formulas are unavailable.
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