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This section introduces studies that use measures of causal effects to quantify emergence phenomena.  
 
This section introduces studies that use measures of causal effects to quantify emergence phenomena.  
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=== Several causal emergence theories  ===
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=== Theories of Emergence ===
 
Defining causal emergence is a key issue. Several representative works include the method based on EI by Hoel et al. <ref name=":0" /><ref name=":1" />, and the [[information decomposition]] method by Rosas et al. <ref name=":5">Rosas F E, Mediano P A, Jensen H J, et al. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data[J]. PLoS computational biology, 2020, 16(12): e1008289.</ref>. Zhang et al. <ref name=":2" />, also proposed a new causal emergence theory based on [[singular value decomposition]].
 
Defining causal emergence is a key issue. Several representative works include the method based on EI by Hoel et al. <ref name=":0" /><ref name=":1" />, and the [[information decomposition]] method by Rosas et al. <ref name=":5">Rosas F E, Mediano P A, Jensen H J, et al. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data[J]. PLoS computational biology, 2020, 16(12): e1008289.</ref>. Zhang et al. <ref name=":2" />, also proposed a new causal emergence theory based on [[singular value decomposition]].
  

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