在O-信息估计中的偏差.
Johanna Gehlen1, Jie Li1, Cillian Hourican1
1Computational Science Lab, Informatics Institute, University of Amsterdam, 1098 Amsterdam, The Netherlands.
Entropy (Basel, Switzerland)
|October 25, 2024
概括
使用O信息估计系统协同效应和冗余性可能会产生偏见. 对于独立系统,小样本大小严重倾向于将O信息与协同作用相结合,可能错误识别独立系统.
科学领域:
- 复杂系统科学 复杂系统科学
- 信息理论是信息理论.
- 统计分析 统计分析
背景情况:
- 高阶关系在复杂系统中至关重要.
- O-信息通过使用香农来量化协同效应和冗余.
- 对离散变量的O-信息估计中的偏差并未得到充分理解.
研究的目的:
- 解释O信息估计中的偏差来源.
- 探索协同,冗余和独立系统 (n=3) 中的偏差.
- 调查样本大小和垃圾箱号对O信息偏差的影响.
主要方法:
- 模拟系统具有不同程度的协同/冗余性.
- 对O信息估计偏差的分析.
- 使用米勒-马多夫方法推导偏差近似.
主要成果:
- 当样本大小不足时,O信息显著偏向于独立系统的协同作用.
- 偏见受样本大小和使用的垃圾箱数量的影响.
- 米勒-马多夫偏差近似对n=3系统的O信息偏差进行了部分纠正.
结论:
- 小样本大小可能导致误解独立系统作为协同效应.
- 偏差近似提供了部分校正,但独立系统的模拟仍然作为零模型至关重要.
- 准确估计更高阶关系需要仔细考虑O信息偏差.
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