Definition: In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Input: We introduce a new discrepancy score between two distributions that gives an indi-<lb>cation on their similarity. While much research has been done to determine if two<lb>samples come from exactly the same distribution, much less research considered<lb>the problem of determining if two finite samples come from similar distributions.<lb>The new score gives an intuitive interpretation of similarity; it optimally perturbs<lb>the distributions so that they best fit each other. The score is defined between<lb>distributions, and can be efficiently estimated from samples. We provide conver-<lb>gence bounds of the estimated score, and develop hypothesis testing procedures<lb>that test if two data sets come from similar distributions. The statistical power of<lb>this procedures is presented in simulations. We also compare the score’s capacity<lb>to detect similarity with that of other known measures on real data.

The Perturbed Variation