Smooth discrimination analysis
研究了两个数据集在概率密度比下的判别区域估计,假设该区域边界光滑,并讨论了估计的最优收敛速度,适用于数据探索性分析。
Discriminant analysis for two data sets in IRd with probability densities f and g can be based on the estimation of the set G = {x : f(x) I g(x)}. We consider applications where it is appropriate to assume that the region G has a smooth boundary. In particular, this assumption makes sense if discriminant analysis is used as a data analytic tool. We discuss optimal rates for estimation of G.