• Corpus ID: 239050313

Hyperspherical Dirac Mixture Reapproximation

@article{Li2021HypersphericalDM,
  title={Hyperspherical Dirac Mixture Reapproximation},
  author={Kailai Li and Florian Pfaff and Uwe D. Hanebeck},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.10411}
}
  • Kailai Li, F. Pfaff, U. Hanebeck
  • Published 20 October 2021
  • Computer Science, Mathematics, Engineering
  • ArXiv
We propose a novel scheme for efficient Dirac mixture modeling of distributions on unit hyperspheres. A so-called hyperspherical localized cumulative distribution (HLCD) is introduced as a local and smooth characterization of the underlying continuous density in hyperspherical domains. Based on HLCD, a manifold-adapted modification of the Cramér–von Mises distance (HCvMD) is established to measure the statistical divergence between two Dirac mixtures of arbitrary dimensions. Given a (source… 
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