Fukumizu, Kenji; Leng, Chenlei - In: Journal of the American Statistical Association 109 (2014) 505, pp. 359-370
This article proposes a novel approach to linear dimension reduction for regression using nonparametric estimation with positive-definite kernels or reproducing kernel Hilbert spaces (RKHSs). The purpose of the dimension reduction is to find such directions in the explanatory variables that...