During the last decade Optimal Transport had a relevant role in study of geometry singular spaces that culminated with Lott–Sturm–Villani theory. The latter is built on characterisation Ricci curvature lower bounds terms displacement convexity certain entropy functionals along W 2 -geodesics. Substantial recent advancements theory (localization paradigm and local-to-global property) have been o...

This paper is devoted to theoretical and numerical investigation of the local minimum issue in seismic full waveform inversion (FWI). provides a mathematical analysis optimal transportation (OT) type objective function's differentiability proves that gradient obtained adjoint-state method does not depend on particular choice Kantorovich potentials. A novel approach using softplus encoding prese...