Autor:	Chow, David D. K.
Rok vydání:	2022
Předmět:	Mathematics - Probability Statistics - Machine Learning
Druh dokumentu:	Working Paper
Popis:	We examine properties of the Concrete (or Gumbel-softmax) distribution on the simplex. Using the natural vector space structure of the simplex, the Concrete distribution can be regarded as a transformation of the uniform distribution through a reflection and a location-scale transformation. The Fisher information is computed and the corresponding information metric is hyperbolic space. We explicitly give an explicit transformation of the parameters of the distribution to Poincar\'e half-space coordinates, which correspond to an orthogonal parameterization, and the Fisher-Rao geodesic distance is computed. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.01306 Zobrazit plný text záznamu View this record from Arxiv