Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6856170 | Information Sciences | 2018 | 25 Pages |
Abstract
We prove that this separability property holds for a wide class of distributions including log-concave distributions and distributions with a special 'SMeared Absolute Continuity' (SmAC) property defined through relations between the volume and probability of sets of vanishing volume. These classes are much wider than the Gaussian distributions. The requirement of independence and identical distribution of data is significantly relaxed. The results are supported by computational analysis of empirical data sets.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
A.N. Gorban, A. Golubkov, B. Grechuk, E.M. Mirkes, I.Y. Tyukin,