Quantitative Stability and Numerical Resolution of the Moment Measure Problem

Guillaume Bonnet, Yanir A. Rubinstein

The moment measure problem consists in finding a convex function $\ddot{I}ˆ$ whose moment measure, i.e., the pushforward by $\nabla \ddot{I}ˆ$ of the measure with density $e^{-\ddot{I}ˆ(\cdot )}$, i…