Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures

Frank Nielsen. Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures. In Timothy Doster, Tegan Emerson, Henry Kvinge, Nina Miolane, Mathilde Papillon, Bastian Rieck, Sophia Sanborn, editors, Topological, Algebraic and Geometric Learning Workshops 2023, 28 July 2023, Honolulu, HI, USA. Volume 221 of Proceedings of Machine Learning Research, pages 488-504, PMLR, 2023. [doi]

@inproceedings{Nielsen23-3,
  title = {Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures},
  author = {Frank Nielsen},
  year = {2023},
  url = {https://proceedings.mlr.press/v221/nielsen23b.html},
  researchr = {https://researchr.org/publication/Nielsen23-3},
  cites = {0},
  citedby = {0},
  pages = {488-504},
  booktitle = {Topological, Algebraic and Geometric Learning Workshops 2023, 28 July 2023, Honolulu, HI, USA},
  editor = {Timothy Doster and Tegan Emerson and Henry Kvinge and Nina Miolane and Mathilde Papillon and Bastian Rieck and Sophia Sanborn},
  volume = {221},
  series = {Proceedings of Machine Learning Research},
  publisher = {PMLR},
}