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Bibliographic Details
Main Authors: Jacimovic, Vladimir, Markovic, Marijan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.16733
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Table of Contents:
  • We introduce the novel family of probability distributions on hyperbolic disc. The distinctive property of the proposed family is invariance under the actions of the group of disc-preserving conformal mappings. The group-invariance property renders it a convenient and tractable model for encoding uncertainties in hyperbolic data. Potential applications in Geometric Deep Learning and bioinformatics are numerous, some of them are briefly discussed. We also emphasize analogies with hyperbolic coherent states in quantum physics.