Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc
Information Theory
2026-05-19 v5 math.IT
Probability
Abstract
The paper presents a geometric duality between the spherical squared-Hellinger distance and a hyperbolic isometric invariant of the Poincare disc under the action of the general Mobius group. Motivated by the geometric connection, we propose the usage of the L2-embedded hyperbolic isometric invariant as an alternative way to quantify divergence between Gaussian measures as a contribution to information theory.
Keywords
Cite
@article{arxiv.2602.17159,
title = {Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc},
author = {Levent Ali Mengütürk},
journal= {arXiv preprint arXiv:2602.17159},
year = {2026}
}