Collection Nexus Trimester - 2016 - Inference Problems Theme
Organisateur(s)
Date(s)
04/05/2024
Testing properties of distributions over big domains : information theoretic quantities
We survey several works regarding the complexity of testing global properties of discrete distributions, when given access to only a few samples from the distribution. Such properties might include testing if two distributions have small statistical distance, testing various independence properties, testing whether a distribution has a specific shape (such as monotone decreasing, k-modal, k-histogram, monotone hazard rate,…), and approximating the entropy. We describe bounds for such testing problems whose sample complexities are sublinear in the size of the support.
