Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation

Billy Fang, Adityanand Guntuboyina, Bodhisattva Sen

We consider the problem of nonparametric regression when the covariate is $d$-dimensional, where $d\ge 1$. In this paper we introduce and study two nonparametric least squares es…