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Pseudo-Riemannian geometry encodes information geometry in optimal transport

Optimal transport and information geometry both study geometric structures on spaces of probability distributions. Optimal transport characterizes the cost-minimizing movement from one distribution to another, while information geometry originates from coordinate invariant properties of statistical...

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Detalles Bibliográficos
Autores principales: Wong, Ting-Kam Leonard, Yang, Jiaowen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Nature Singapore 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9296067/
https://www.ncbi.nlm.nih.gov/pubmed/35874116
http://dx.doi.org/10.1007/s41884-021-00053-7