A note on quadratic transportation and divergence inequality

作者：Ding, Ying^*

来源：Statistics & Probability Letters, 2015, 100: 115-123.

DOI：10.1016/j.spl.2015.02.009

• Quadratic transportation and divergence inequality
• Tensorization
• Poincare inequality

In this paper, we study the quadratic transportation and divergence inequality, which is the generalization of Talagrand's transportation inequality. We obtain its tensorization property, prove it is implied by Poincare inequality, and give a criterion for it.

• 出版日期2015-5
• 单位浙江工业大学