A1 Journal article (refereed), original research

Comparing Circular Histograms by Using Modulo Similarity and Maximum Pair-Assignment Compatibility Measure


Open Access publication


Publication Details

Authors: Luukka Pasi, Collan Mikael

Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles

Publication year: 2017

Language: English

Related journal or series: International Journal of Computational Intelligence Systems

Volume number: 10

Issue number: 1

Start page: 1

End page: 12

Number of pages: 12

ISSN: 1875-6891

eISSN: 1875-6883

JUFO level of this publication: 1

Digital Object Identifier (DOI): http://dx.doi.org/10.2991/ijcis.2017.10.1.1

Open Access: Open Access publication


Abstract

Histograms are an intuitively understandable tool for graphically presenting frequency data that is available for and useful in modern data-analysis, this also makes comparing histograms an interesting field of research. The concept of similarity and similarity measures have been gaining in importance, because similarity and similarity measures can be used to replace the simpler distance measures in many data-analysis applications. In this paper we concentrate on circular histograms that are well-suited for time or direction-stamped frequency data and especially on the comparison of circular histograms by way of similarity. We focus on Łukasiewicz many-valued logic based similarities and introduce a new similarity measure, the "modulo similarity" for circular problems. We prove that modulo similarity is a similarity measure in the strict sense. We also present a new compatibility measure, the "maximum pair assignment compatibility" that can be used in lossless sample-based comparison of histograms. We demonstrate the usefulness of these two new concepts by numerically applying them to a comparison of circular histograms and comparatively analyze the results with results from a comparison with a bin-based Łukasiewicz many-valued logic based method for the comparison of histograms.


Last updated on 2018-19-10 at 07:55