An image is often represented by a set of detected features. We get an enormous compression by representing images in this way. Furthermore, we get a representation which is little affected by small amounts of noise in the image. However, features are typically chosen in an ad hoc manner. \Ve show how a good set of features can be obtained using sufficient statistics. The idea of sparse data re...

The notion of a strong sufficient statistic was introduced in [N. Vereshchagin, Algorithmic Minimal Sufficient Statistic Revisited. Proc. 5th Conference on Computability in Europe, CiE 2009, LNCS 5635, pp. 478-487]. In this paper, we give a survey of fine properties of strong sufficient statistics and show that there are strings for which complexity of every strong sufficient statistic is much ...