The dependence measurements based on martingale difference correlation and distance correlation: Efficient tools to distinguish different complex systems

Shang, Du; Shang, Pengjian

doi:10.1016/j.chaos.2022.111868

Cited by 4 publications

(1 citation statement)

References 42 publications

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“…However, this does not necessarily mean that the two variables are independent of each other because there may well be other relationships between them. The distance correlation coefficient can measure the linear and nonlinear relationship between two variables, and when the distance correlation coefficient takes the value of 0, the two variables are independent of each other, because the characteristic function can uniquely determine the probability distribution of the random variable, and the probability density function of the random variable and the characteristic function can be related by the Fourier transform when the characteristic function is under the condition of absolute productibility [18].…”

Section: Distance Correlation Coefficientmentioning

confidence: 99%

Analysis of the evolutionary path of early civilization agriculture based on the plain Bayesian model

2023

Applied Mathematics and Nonlinear Sciences

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First, this paper focuses on the problem of nonlinear association between attributes and categories, combines inverse document frequency information and deep attribute weighting, improves the distance correlation coefficient, and proposes an attribute-weighted polynomial plain Bayesian text classification algorithm based on the improved distance correlation coefficient. Then a specific scheme for stage classification of early Chinese civilization provides a theoretical premise and expository framework for systematically exploring the relationship between primitive agricultural types and early Chinese civilization and also provides conditions for forming the agricultural revolution of early Chinese civilization in the Central Plains region. Finally, according to the research objectives, the 7000-year-old Ningzhen area was selected as the research object, and the attribute-weighted polynomial plain Bayesian text classification algorithm was used to analyze the data of the research object. The results show that: in the Neolithic burials of the North Yingying culture period alone, there are 240 burial relics with a total of 1,580 pieces of all burial relics, including 554 pieces of stone production workers, but the fundamental reason is the active change of human for the survival crisis. This study is a preliminary attempt to conduct an interdisciplinary study on the history of agriculture and civilization and provides an academic path for the sublimation of agricultural history to the study of the history of agricultural civilization.

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Section: Distance Correlation Coefficientmentioning

confidence: 99%