在密集的纵向数据中,对多级值自回归模型进行高效准确的变化推理.
Azizur Rahman1,2, Depeng Jiang1, Lisa M Lix1
1Department of Community Health Sciences, University of Manitoba, Winnipeg, Manitoba, Canada.
The British journal of mathematical and statistical psychology
|January 22, 2025
概括
一个新的平均场变量贝叶斯 (MFVB) 算法为使用多级值自回归 (ML-TAR) 模型分析密集的纵向数据 (ILD) 提供了更快的替代方案. 这种计算方法提高了复杂的统计建模的效率和准确性.
科学领域:
- 统计 统计 统计 统计
- 计算统计学 计算统计学
- 纵向数据分析 纵向数据分析
背景情况:
- 密集的纵向数据 (ILD) 涉及对个体的重复测量,需要复杂的模型进行分析.
- 多级值自回归 (ML-TAR) 模型捕获ILD中的动态过程,但传统的贝叶斯推理 (马尔科夫链蒙特卡洛 - MCMC) 是计算密集的.
- 有效的参数估计对于准确解释复杂的纵向数据至关重要.
研究的目的:
- 引入一种新的平均场变化贝叶斯 (MFVB) 算法,用于将ML-TAR模型与ILD相匹配.
- 与MCMC相比,评估MFVB算法的计算效率和准确性.
- 为了证明MFVB在纵向研究中用于大规模推断的适用性.
主要方法:
- 开发一个平均场变量贝叶斯 (MFVB) 算法,用于近似贝叶斯推理.
- 通过模拟将MFVB与标准的马尔科夫链蒙特卡洛 (MCMC) 方法进行比较.
- 将MFVB算法应用于真实世界密集的纵向数据.
主要成果:
- 该MFVB算法显示显著更快的计算时间比MCMC.
- 随着个人数量和时间点的增加,MFVB的参数估计准确性得到了改善.
- 在现实ILD上,MFVB的准确性与MCMC相当,计算效率更高.
结论:
- 在ML-TAR模型中,MFVB算法为MCMC提供了一个计算效率高,准确的替代方案.
- MFVB非常适合在密集的纵向数据上进行大规模推断.
- 这种方法使复杂的纵向数据集更容易获得和快速分析.
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