− | 目前,关于如何定义[[因果涌现]],有四个主要代表,分别是:①Hoel等基于粗粒化方法的[[因果涌现]]理论<ref name=":8">Hoel E P, Albantakis L, Tononi G. Quantifying causal emergence shows that macro can beat micro[J]. Proceedings of the National Academy of Sciences, 2013, 110(49): 19790-19795.</ref><ref name=":9">Hoel E P. When the map is better than the territory[J]. Entropy, 2017, 19(5): 188.</ref>、②Rosas等基于信息分解的因果涌现理论<ref name=":0">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>、③张江等人基于奇异值分解的因果涌现理论<ref>Zhang J, Tao R, Yuan B. Dynamical Reversibility and A New Theory of Causal Emergence. arXiv preprint arXiv:2402.15054. 2024 Feb 23.</ref>、④Barnett等的动力学解耦<ref name=":10">Barnett L, Seth AK. Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems. Physical Review E. 2023 Jul;108(1):014304.</ref>。 | + | 目前,关于如何定义[[因果涌现]],有四个主要代表,分别是:①Hoel等基于[[有效信息]]的[[因果涌现]]理论<ref name=":8">Hoel E P, Albantakis L, Tononi G. Quantifying causal emergence shows that macro can beat micro[J]. Proceedings of the National Academy of Sciences, 2013, 110(49): 19790-19795.</ref><ref name=":9">Hoel E P. When the map is better than the territory[J]. Entropy, 2017, 19(5): 188.</ref>、②Rosas等基于[[整合信息分解]]的因果涌现理论<ref name=":0">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>、③张江等人基于奇异值分解的因果涌现理论<ref>Zhang J, Tao R, Yuan B. Dynamical Reversibility and A New Theory of Causal Emergence. arXiv preprint arXiv:2402.15054. 2024 Feb 23.</ref>、④Barnett等的基于动力学解耦的涌现理论<ref name=":10">Barnett L, Seth AK. Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems. Physical Review E. 2023 Jul;108(1):014304.</ref>。 |