English

Geometry and clustering with metrics derived from separable Bregman divergences

Machine Learning 2018-10-26 v1 Machine Learning

Abstract

Separable Bregman divergences induce Riemannian metric spaces that are isometric to the Euclidean space after monotone embeddings. We investigate fixed rate quantization and its codebook Voronoi diagrams, and report on experimental performances of partition-based, hierarchical, and soft clustering algorithms with respect to these Riemann-Bregman distances.

Keywords

Cite

@article{arxiv.1810.10770,
  title  = {Geometry and clustering with metrics derived from separable Bregman divergences},
  author = {Erika Gomes-Gonçalves and Henryk Gzyl and Frank Nielsen},
  journal= {arXiv preprint arXiv:1810.10770},
  year   = {2018}
}

Comments

23 pages

R2 v1 2026-06-23T04:52:17.559Z