An Exact Theory of Causal Emergence for Linear Stochastic Iteration Systems
Kaiwei Liu,
Bing Yuan,
Jiang Zhang
Abstract:After coarse-graining a complex system, the dynamics of its macro-state may exhibit more pronounced causal effects than those of its micro-state. This phenomenon, known as causal emergence, is quantified by the indicator of effective information. However, two challenges confront this theory: the absence of well-developed frameworks in continuous stochastic dynamical systems and the reliance on coarse-graining methodologies. In this study, we introduce an exact theoretic framework for causal emergence within li… Show more
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