Visualization of Similarity Measures for Binary Data and 2x2 Tables

Authors

  • Ildar Z. Batyrshin Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)
  • Nailya Kubysheva Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)
  • Valery Solovyev Kazan Federal University
  • Luis A. Villa-Vargas Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)

DOI:

https://doi.org/10.13053/cys-20-3-2457

Keywords:

Similarity measure, binary variable, contingency table, visualization.

Abstract

The methods of 3D visualization of the main similarity measures for binary data and 2x2 tables are proposed. The shapes of Jaccard, Dice, Sokal & Sneath, Roger & Tanimoto and other similarity measures are presented. Such visualization of the similarity measures gives the direct, visual, method of comparison of these measures and helps to understand the similarity and the difference between them. Based on the visualization of the two known parametric families of similarity measures the paper proposes the new parametric family of measures generalizing these two families and giving the possibility to construct similarity measures occupying the intermediate position between them.

Author Biographies

Ildar Z. Batyrshin, Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)

Graduated from the Moscow Physical-Technical Institute. He received PhD from the Moscow Power Engineering Institute and Dr. Sci. (habilitation) degree from the Highest Attestation Committee of Russia. He is currently the Titular Professor “C” of CIC IPN. He served as a Co-Chair of 10 International Conferences on Soft Computing, Artificial Intelligence and Computational Intelligence. He is an author and editor of 20 books and special volumes of journals and an author of more than 200 papers in journals and conference proceedings.

Nailya Kubysheva, Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)

Recieved her PhD from Lobachevsky State University of Nizhny Novgorod, Russia, and Dr. Sci. (habilitation) degree from the Highest Attestation Committee of Russia. She is currently with IPN, Mexico, as Postdoctoral Researcher.

Valery Solovyev, Kazan Federal University

did his research with the Higher School of Information Technologies and Information Systems, University of Kazan, Russia. He graduated with a Doctor of Science in Computer Science degree at the Russian Academy of Sciences in 1995. He is currently working as a Senior Researcher and a head of Laboratory of Medical Informatics. His research interests include data mining, computational linguistics, cognitive science. He is the President of The Association of Cognitive Science (Russia).

Luis A. Villa-Vargas, Instituto Politécnico Nacional, Centro de Investigación en Computación (CIC)

Received his Ph.D. in computer science from the Polytechnic University of Catalonia in 1999. From December 1999 to February 2001 he was with the Laboratory for Computer Science as a Postdoctoral Fellow at the Massachusetts Institute of Technology. From October 2001 to January 2007 he was with the Mexican Petroleum Institute. Since January 2007 he has been with the Center for Computer Research at The National Polytechnic Institute in Mexico, where he was director from 2010 to 2016.

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Published

2016-09-30

Issue

Vol. 20 No. 3 (2016): Thematic Issue: Natural Language Processing and Computational Linguistics (Guest Editor: Alexander Gelbukh)

Section

Articles

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