论文标题
精致的Pinsker和反向Pinsker的不平等现象，用于不同维度的概率分布
Refined Pinsker's and reverse Pinsker's inequalities for probability distributions of different dimensions
论文作者
论文摘要
我们为增强的Kullback-Leibler发散提供了最佳的下限和上限，就两个具有不同尺寸的欧几里得空间上定义的两个概率度量之间的增强总变化距离而言。我们称它们为Pinsker的精致和反向Pinsker的不平等现象。
We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of the augmented total variation distance between two probability measures defined on two Euclidean spaces having different dimensions. We call them refined Pinsker's and reverse Pinsker's inequalities, respectively.
