2020
DOI: 10.3390/e22040440
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Association Factor for Identifying Linear and Nonlinear Correlations in Noisy Conditions

Abstract: Background: In data analysis and machine learning, we often need to identify and quantify the correlation between variables. Although Pearson’s correlation coefficient has been widely used, its value is reliable only for linear relationships and Distance correlation was introduced to address this shortcoming. Methods: Distance correlation can identify linear and nonlinear correlations. However, its performance drops in noisy conditions. In this paper, we introduce the Association Factor (AF) as a robust method… Show more

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Cited by 5 publications
(2 citation statements)
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“…Even though traditional data analysis techniques such as scatterplots and Pearson correlation heatmaps are essential to discover the synergies between 2 variables, there is difficulty in displaying the interaction of variables in more complex interactions (i.e., nonlinear, highly noisy) in higher dimensional space (i.e., multivariate interaction). Therefore, machine learning and feature importance analysis is utilized to discover the interactions of complex variables and simplifying the synergies for human understanding .…”
Section: Advancement Of 2d Materials Research With Data Science and M...mentioning
confidence: 99%
“…Even though traditional data analysis techniques such as scatterplots and Pearson correlation heatmaps are essential to discover the synergies between 2 variables, there is difficulty in displaying the interaction of variables in more complex interactions (i.e., nonlinear, highly noisy) in higher dimensional space (i.e., multivariate interaction). Therefore, machine learning and feature importance analysis is utilized to discover the interactions of complex variables and simplifying the synergies for human understanding .…”
Section: Advancement Of 2d Materials Research With Data Science and M...mentioning
confidence: 99%
“…Other studies aim at expanding and utilizing the measures in a general manner. They proposed methods based on the measures for the following: statistical tests [44]- [46], robustness improvement [47]- [49], algorithmic strategies for multi dependence detection [50], [51], feature selection [52]- [56], and feature extraction [57], [58]. The other studies are to utilize the measures in specific domains, the applications in short, which are as given in Section I-A.…”
Section: Cc(x Y) =mentioning
confidence: 99%