We consider the problem of nonparametric regression when the covariate is d dimensional, where d ≥ 1. In this paper, we introduce and study two non-parametric least squares estimators (LSEs) in this ...

Sabyasachi Chatterjee, Subhajit Goswami, ADAPTIVE ESTIMATION OF MULTIVARIATE PIECEWISE POLYNOMIALS AND BOUNDED VARIATION FUNCTIONS BY OPTIMAL DECISION TREES, The Annals of Statistics, Vol. 49, No. 5 ...