Method PPC for Precise Piecewise Correlation after Histogram Segmentation

Author:

Ognjenovic Visnja1,Stojanov Jelena1ORCID,Brtka Vladimir12,Blazic Marko1,Brtka Eleonora1ORCID,Berkovic Ivana1ORCID

Affiliation:

1. Technical Faculty “Mihajlo Pupin” Zrenjanin, University of Novi Sad, 23000 Zrenjanin, Serbia

2. Faculty of Traffic Engineering, University of East Sarajevo, 74000 Doboj, Bosnia and Herzegovina

Abstract

Correlation, functioning as a symmetric relation, is very powerful indicator of the mutual association between two attributes. The problem of weak correlation indicates a lack of linearity in the observed range. This paper presents the precise piecewise correlation method, which overcomes the problem by determining the segments where the linear association will be present. The determination was achieved using the histogram segmentation method. The conditions of the application and analysis of the method are presented, as well as the application of the method to the representative datasets. The obtained results confirm the existence of stronger linear associations on the segments. Detected correlations reveal the strength and nature of the symmetric association between two attributes on each of the separated segments.

Publisher

MDPI AG

Reference29 articles.

1. Lindblad, J. Histogram Thresholding using Kernel Density Estimates. Proceedings of the Swedish Society for Automated Image Analysis (SSAB) Symposium on Image Analysis, Halmstad, Sweden.

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3. Ognjenovic, V. (2016). Approximative Discretization of Table-Organized Data. [Ph.D. Thesis, Technical Faculty “Mihajlo Pupin”]. (In Serbian).

4. (2024, February 01). Iris.csv—Kaggle. Available online: https://www.kaggle.com/datasets/saurabh00007/iriscsv.

5. Nekrasov, M., Allen, R., and Belding, E. (2021, April 02). Aerial Measurements from Outdoor 2.4GHz 802.15.4 Network. Dryad, Dataset. Available online: https://datadryad.org/stash/dataset/doi%253A10.25349%252FD9KS3.

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