说明：  统计学习理论研究的范围主要是:统计估计小样本理论，主要涉及经验风险最小化前提下的统计学习一致性条件、关于统计学习方法推广性的界在这些条件下的结论、在推广性的界的基础上小样本归纳推理准则的建立、实际操作算法实现新的准则共四方面的内容。其中最具有指导性的理论结果是推广性的界，与此相关的一个核心概念是VC维。
(The research scope of statistical learning theory is mainly: small sample theory of statistical estimation, which mainly involves four aspects: the consistency condition of statistical learning under the premise of minimizing empirical risk, the conclusion about the generalization bound of statistical learning method under these conditions, the establishment of sample inductive inference criteria based on the generalization bound, and the realization of new criteria by practical operation algorithm. One of the most instructive theoretical results is the generalized bound, and a core concept related to this is VC dimension.)