Proceedings, Theory of Biomathematics and Its Applications XVI, Evaluation of periodicity behind time series data (Theory of Biomathematics and Its Applications XVI -Toward quantitative understanding for life Sciences-)

Abstract

To detect a causality has been one of the most fundamental interests in natural science. In these days, Empirical Dynamic Modeling (EDM), especially Convergent Cross Mapping (CCM), is focused on as a new method detecting a causality. Despite of these many researches by CCM, it seems that there are less theoretical studies about CCM. In this proceedings, we would like to give some considerations of mathematical potential which CCM may has. As one suggestion, we propose the idea of convergent skill, which reflects a changing neighbourhood between time series data , and by which we may be able to evaluate for linearity or periodicity behind ones.