在用于动态网络分析的随机行为者导向模型中计算边缘不确定性
Heather M Shappell1, Mark A Kramer2, Catherine J Chu3
1Department of Biostatistics and Data Science, Wake Forest University School of Medicine, Winston Salem, NC, USA.
概括
本研究引入了一个隐藏的马尔科夫模型 (HMM) 扩展到随机行为者导向模型 (SAOMs),以准确分析杂的网络数据. 这种新方法可以提高动态网络 (包括功能性脑网络) 的估计准确度.
科学领域:
- 网络分析 网络分析
- 统计建模 统计建模
- 计算神经科学是一种计算神经科学.
背景情况:
- 随机行为者导向模型 (SAOM) 是分析社交网络动态的标准.
- 在SAOM中假设无错误的网络数据通常是不现实的.
- 现实世界的网络经常包含假阳性和假阴性边缘.
研究的目的:
- 开发SAOM的扩展,以考虑观察到的网络数据中的噪声.
- 为了提高在存在测量错误的情况下对网络变化估计的准确性.
- 将新方法应用于功能性大脑网络分析.
主要方法:
- 一个隐藏的马尔科夫模型 (HMM) 框架,集成真实网络的隐藏马尔科夫过程和观察到的网络的测量模型.
- 一个预期最大化算法用于参数估计.
- 颗粒过和缺失信息原理来处理大状态空间.
主要成果:
- 拟议的HMM-SAOM扩展显示,与噪音网络数据的标准SAOM相比,估计准确度有所提高.
- 模拟研究证实,在存在测量错误的情况下,性能提高.
- 对脑电图 (EEG) 数据的应用揭示了功能性大脑网络中更大的效果大小.
结论:
- 该HMM-SAOM扩展提供了一个更强大的方法来分析动态网络与杂的观测.
- 这种方法比标准的SAOMs具有显著的优势,特别是在神经科学等领域.
- 准确的网络动态建模与测量误差对于可靠的科学推断至关重要.
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