We prove concentration inequalities for functions of independent random variables {under} sub-gaussian and sub-exponential conditions. The utility of the inequalities is demonstrated by an extension of the now classical method of Rademacher complexities to Lipschitz function classes and unbounded sub-exponential distribution.

翻译：我们证明独立随机变数{under}的亚高西语和亚特质条件功能的集中不平等。 不平等的效用表现在将目前传统的Rademacher复杂程度方法延伸至Lipschitz功能类别和无限制的亚特质分布。