Continuity Scaling: A Rigorous Framework for Detecting and Quantifying Causality Accurately.

ABSTRACT: Data-based detection and quantification of causation in complex, nonlinear dynamical systems is of paramount importance to science, engineering, and beyond. Inspired by the widely used methodology in recent years, the cross-map-based techniques, we develop a general framework to advance towards a comprehensive understanding of dynamical causal mechanisms, which is consistent with the natural interpretation of causality. In particular, instead of measuring the smoothness of the cross-map as conventionally implemented, we define causation through measuring the scaling law for the continuity of the investigated dynamical system directly. The uncovered scaling law enables accurate, reliable, and efficient detection of causation and assessment of its strength in general complex dynamical

SUBMITTER: Ying X 

PROVIDER: S-EPMC9101326 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature