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方法族Bayesian methodsBayesian methods
起源年份1990s–2000s1980s–2000s
提出者Extension of Pearl's Bayesian networks; multilevel formulation developed in statistical relational learning community, 1990s–2000sGelman, Hill, Raudenbush, Bryk
类型Probabilistic graphical model (hierarchical)Bayesian hierarchical model
开创性文献Koller, D. & Friedman, N. (2009). Probabilistic Graphical Models: Principles and Techniques. MIT Press. ISBN: 978-0262013192Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891
别名multi-level Bayesian network, hierarchical Bayesian network, MLBN, multilevel probabilistic graphical modelBayesian multilevel model, Bayesian hierarchical model, Bayesian mixed-effects model, Bayesian random-effects model
相关66
摘要A multilevel Bayesian network extends the standard Bayesian network to data with hierarchical or grouped structure — students within schools, patients within hospitals, observations within subjects — by placing separate but linked graphical models at each level, with higher-level parameters governing the conditional probability tables of lower-level nodes. The result is a principled probabilistic framework that captures both within-group relationships and between-group variation.Multilevel Bayesian inference combines Bayesian probability with hierarchical data structures, treating group-level parameters as drawn from a common population distribution. It simultaneously estimates unit-level effects and the hyperparameters governing their variation, propagating full uncertainty through every level of the hierarchy via posterior sampling.
ScholarGate数据集
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  2. 2 来源
  3. PUBLISHED
  1. v1
  2. 2 来源
  3. PUBLISHED

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ScholarGate方法对比: Multilevel Bayesian Network · Multilevel Bayesian Inference. 于 2026-06-17 检索自 https://scholargate.app/zh/compare