Information geometry

Statistical machine learning algorithms deal with the problem of selecting an appropriate statistical model from a model space Θ based on a training set [special characters omitted] ⊂ X or [special characters omitted] ⊂ X × Y. In doing so they either implicitly or explicitly mak…

This thesis is devoted to building the connection of information geometry and optimal transport. In- formation geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. The modern theory of information…