因果交叉映射及其在因果分析中的应用
Boxin Sun1, Jinxian Deng1, Norman Scheel2
1Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, USA.
Entropy (Basel, Switzerland)
|July 26, 2024
概括
因果融合交叉映射 (cCCM) 通过排除未来值来克服传统CCM的局限性,从而能够准确地检测因果关系. 这种方法有效地识别了各种系统之间的线性和非线性因果关系.
科学领域:
- 复杂系统科学 复杂系统科学
- 非线性动力学是一种非线性动力学.
- 因果关系 推断 推理
背景情况:
- 融合交叉映射 (CCM) 是一种用于检测动态系统中的因果合的方法.
- 传统的CCM使用过去和未来的值,这与因果关系的定义相矛盾.
- 为了解决这一局限性,开发了因果融合交叉映射 (cCCM).
研究的目的:
- 证明cCCM在因果关系分析中的实际实施和有效性.
- 验证cCCM识别线性和非线性因果关系的能力.
- 分析参数选择对cCCM性能的影响.
主要方法:
- 实施和应用因果融合交叉映射 (cCCM).
- 在各种数据集上测试cCCM:高斯变量,正弦波形,自回归模型,随机过程,混乱地图,带内存的系统和fMRI数据.
- 分析阴影分流体结构和关键参数对cCCM的影响.
主要成果:
- 在所有测试设置中,cCCM成功识别了线性和非线性因果合.
- 该研究为各种应用程序配置cCCM参数提供了指导方针.
- 影子集成管的构造显著影响cCCM性能.
结论:
- cCCM是一个强大而有效的因果分析工具,克服了传统CCM的局限性.
- 该方法适用于广泛的应用,包括实验数据.
- cCCM提供了一种有希望的,用户友好的方法来推断复杂系统中的因果关系.
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