Determining the Dimension in Sliced Inverse Regression and Related Methods
切片逆回归及相关方法中的维数确定
Sliced inverse regression (SIR) and principal Hessian directions aim to reduce the dimensionality of regression problems. An important step in the method is the determination of a suitable dimension. Although statistical tests based on the nullity eigenvalues are usually suggested, this article focuses on the quality of the estimation of the effective dimension reduction (EDR) spaces. Essentially, the goal is to retain only sufficiently stable subspaces. The goodness of the…