<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association measures is one of recent trends in computer science. Measures are combined in linear and nonlinear discrimination models, automated feature selection or construction. Knowledge about their relations is particularly important to avoid problems of meaningless results, zeroed generalized variances, the curse of dimensionality, or simply to save time</p></abstract>

Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association measures is one of recent trends in computer science. Measures are combined in linear and nonlinear discrimination models, automated feature selection or construction. Knowledge about their relations is particularly important to avoid problems of meaningless results, zeroed generalized variances, the curse of dimensionality, or simply to save time

On the order equivalence relation of binary association measures

Department of Computational Intelligence Wrocław University of Technology, Wyb. Wyspiánskiego 27, 50–370 Wrocław, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the order equivalence relation of binary association measures"}

Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of...

On the order equivalence relation of binary association measures

Published Online: Sep 30, 2015

Page range: 645 - 657

Received: Apr 22, 2014

DOI: https://doi.org/10.1515/amcs-2015-0047

© by Mariusz Paradowski

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.