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添加21字节 、 2025年2月23日 (日) 18:13
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As shown in the figure, the occurrence of emergence can be judged based on two key concepts in the G-causality. This measure of emergence, derived from [[Granger causality|Granger causality]], is denoted as G-emergence. A can be understood as a macroscopic variable, while B represents a microscopic variable. The conditions for emergence to occur are as follows: 1) A is G-autonomous with respect to B; 2) B is a G-cause of A. The degree of G-emergence is calculated by multiplying the degree of A's G-autonomous by the degree of B's average G-cause.
 
As shown in the figure, the occurrence of emergence can be judged based on two key concepts in the G-causality. This measure of emergence, derived from [[Granger causality|Granger causality]], is denoted as G-emergence. A can be understood as a macroscopic variable, while B represents a microscopic variable. The conditions for emergence to occur are as follows: 1) A is G-autonomous with respect to B; 2) B is a G-cause of A. The degree of G-emergence is calculated by multiplying the degree of A's G-autonomous by the degree of B's average G-cause.
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gence theory proposed by Seth is the first attempt to use causal measures to quantify emergence phenomena. However, the causal relationship used by the author is Granger causality, which is not a strict causal relationship. At the same time, the measurement results also depend on the regression method used. In addition, the measurement index of this method is defined according to variables rather than dynamics, which means that the results will depend on the choice of variables. These limitations highlight the drawbacks of the G-emergence theory.
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The G-emergence theory proposed by Seth is the first attempt to use measures of causal effects to quantify emergence phenomena. However, the causal relationship used by the author is Granger causality, which is not a strict causal relationship. At the same time, the measurement results also depend on the regression method used. In addition, the measurement index of this method is defined according to variables rather than dynamics, which means that the results will depend on the choice of variables. These limitations highlight the drawbacks of the G-emergence theory.
    
The causal emergence framework also has similarities with the aforementioned G-emergence. The macroscopic states of both methods need to be manually selected. In addition, it should be noted that some of the above methods for quantifying emergence often do not consider true interventionist causality.
 
The causal emergence framework also has similarities with the aforementioned G-emergence. The macroscopic states of both methods need to be manually selected. In addition, it should be noted that some of the above methods for quantifying emergence often do not consider true interventionist causality.
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