− | 复杂网络数据中因果涌现的识别困难在于系统性、自动搜索所有潜在的粗粒化策略<ref>Varley, T.; Hoel, E. Emergence as the conversion of information: A unifying theory. arXiv 2021, arXiv:2104.13368.</ref><ref>Chvykov, P.; Hoel, E. Causal Geometry. Entropy 2021, 23, 24. [CrossRef]</ref><ref name=":1">Rosas, F.E.; Mediano, P.A.M.; Jensen, H.J.; Seth, A.K.; Barrett, A.B.; Carhart-Harris, R.L.; Bor, D. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data. PLoS Comput. Biol. 2020, 16, e1008289. [CrossRef]</ref><ref>Varley, T.F. Flickering emergences: The question of locality in information-theoretic approaches to emergence. arXiv 2022, arXiv:2208.14502.</ref>。Klein的方法通过节点聚类<ref name=":2" /><ref>Klein, B.; Hoel, E. The Emergence of Informative Higher Scales in Complex Networks. Complexity 2020, 2020, 8932526. [CrossRef]</ref>提升EI,但假设底层节点动力学是扩散的,未考虑真实系统中更复杂的动力学。即使节点分组已知,粗粒化策略仍需考虑簇中所有节点的微观与宏观状态映射。
| + | [[复杂网络中的因果涌现]]的识别困难在于系统性、自动搜索所有潜在的粗粒化策略<ref>Varley, T.; Hoel, E. Emergence as the conversion of information: A unifying theory. arXiv 2021, arXiv:2104.13368.</ref><ref>Chvykov, P.; Hoel, E. Causal Geometry. Entropy 2021, 23, 24. [CrossRef]</ref><ref name=":1">Rosas, F.E.; Mediano, P.A.M.; Jensen, H.J.; Seth, A.K.; Barrett, A.B.; Carhart-Harris, R.L.; Bor, D. Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data. PLoS Comput. Biol. 2020, 16, e1008289. [CrossRef]</ref><ref>Varley, T.F. Flickering emergences: The question of locality in information-theoretic approaches to emergence. arXiv 2022, arXiv:2208.14502.</ref>。Klein的方法通过节点聚类<ref name=":2" /><ref>Klein, B.; Hoel, E. The Emergence of Informative Higher Scales in Complex Networks. Complexity 2020, 2020, 8932526. [CrossRef]</ref>提升EI,但假设底层节点动力学是扩散的,未考虑真实系统中更复杂的动力学。即使节点分组已知,粗粒化策略仍需考虑簇中所有节点的微观与宏观状态映射。 |