在因果关系分析中,因果关系融合交叉映射及其与定向信息的近似等价性
Jinxian Deng1, Boxin Sun1, Norman Scheel2
1Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, USA.
PNAS nexus
|January 3, 2024
概括
收交叉映射 (CCM) 现在可以检测定向信息 (DI) 流,为传统因果关系方法提供强大的替代方案. 因果性CCM (cCCM) 对于分析复杂系统,包括大脑网络,证明比DI更可靠.
科学领域:
- 复杂系统科学 复杂系统科学
- 神经科学是一个神经科学.
- 信息理论 信息理论
背景情况:
- 收交叉映射 (CCM) 检测确定性系统中的因果关系,补充格兰杰因果关系.
- 从信息理论的角度来看,定向信息 (DI) 量化了因果信息流.
- 在非决定性系统中,CCM和DI之间的关系需要澄清.
研究的目的:
- 调查 CCM 是否测量有针对性的信息 (DI) 流.
- 建立和验证因果关系CCM (cCCM) 和DI之间的等价性.
- 为了比较cCCM和DI在因果关系检测中的稳定性.
主要方法:
- CCM的因果关系与因果关系原则保持一致.
- 在高斯变量下,cCCM和DI之间的近似等价性的理论导出.
- 基于fMRI的大脑网络分析以验证发现.
主要成果:
- 确定并验证了cCCM和DI对高斯变量的近似等价性.
- 证明cCCM在因果关系检测方面通常比DI更强大.
- 展示了cCCM在克服DI固有的概率估计敏感性的优势.
结论:
- CCM提供了一种替代的,可靠的方法来评估DI.
- 因果CCM (cCCM) 是一种潜在有效的技术,用于识别线性和非线性因果合.
- 这种方法适用于大脑网络和其他复杂系统,无论它们是确定性还是随机性.
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