Monge-Kantorovich Fitting With Sobolev Budgets

Forest Kobayashi, Jonathan Hayase, Young-Heon Kim

Given $m<n$, we consider the problem of ``best'' approximating an $n\text{-d}$ probability measure $\rho$ via an $m\text{-d}$ measure $\nu$ such that $\mathrm{supp}\nu$ has bounded to…