Geometry and fixed-rate quantization in Riemannian metric spaces induced by separable Bregman divergences

Author

Gomes-Gonçalves, Erika and Gzyl, Henryk and Nielsen, Frank

Abstract

Dual separable Bregman divergences induce dual Riemannian metric spaces which are isometric to the Euclidean space after non-linear monotone embeddings. We investigate fixed-rate quantization and the induced Voronoi diagrams in those metric spaces.