Klyushin, DmitryLyashko, SergeyZub, Stanislav2019-10-312019-10-312019-04-182019-04-18Klyushin D. A(n) Assumption in machine learning / Dmitry Klyushin, Sergey Lyashko, Stanislav Zub // Computational Linguistics and Intelligent Systems. — Lviv : Lviv Politechnic Publishing House, 2019. — Vol 2 : Proceedings of the 3nd International conference, COLINS 2019. Workshop, Kharkiv, Ukraine, April 18-19, 2019. — P. 32–38. — (Paper presentations).2523-4013https://ena.lpnu.ua/handle/ntb/45493The commonly used statistical tools in machine learning are two-sample tests for verifying hypotheses on homogeneity, for example, for estimation of corpushomogeneity, testing text authorship and so on. Often, they are effective only for sufficiently large sample (n> 100) and have limited application in situations where the size of samples is small (n < 30). To solve the problem for small samples, methods of reproducing samples are often used: jackknife and bootstrap. We propose and investigate a family of homogeneity measures based on A(n) assumption that are effective both for small and large samples.32-38enmachine learningsample homogeneityconfidence intervalorder statisticsvariational seriesA(n) Assumption in machine learningArticle© 2019 for the individual papers by the papers’ authors. Copying permitted only for private and academic purposes. This volume is published and copyrighted by its editors.7Klyushin D. A(n) Assumption in machine learning / Dmitry Klyushin, Sergey Lyashko, Stanislav Zub // Computational Linguistics and Intelligent Systems. — Lviv Politechnic Publishing House, 2019. — Vol 2 : Proceedings of the 3nd International conference, COLINS 2019. Workshop, Kharkiv, Ukraine, April 18-19, 2019. — P. 32–38. — (Paper presentations).