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多层变分推断

多层变分推断(MLVI)是一种可扩展的近似贝叶斯方法,它通过优化后验的变分近似而不是抽取MCMC样本来拟合分层(多层)模型。它利用多层数据的分组结构——个体嵌套在组内,组嵌套在更高级别的单元内——来推导高效的坐标更新,从而使贝叶斯推断对于大型聚类数据集变得可行。

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来源

  1. Blei, D. M., Kucukelbir, A., & McAuliffe, J. D. (2017). Variational inference: A review for statisticians. Journal of the American Statistical Association, 112(518), 859-877. DOI: 10.1080/01621459.2017.1285773
  2. Ranganath, R., Altosaar, J., Tran, D., & Blei, D. M. (2016). Operator variational objectives. Advances in Neural Information Processing Systems, 29. Curran Associates. link

如何引用本页

ScholarGate. (2026, June 3). Multilevel Variational Inference for Hierarchical Bayesian Models. ScholarGate. https://scholargate.app/zh/bayesian/multilevel-variational-inference

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被引用于

ScholarGateMultilevel Variational Inference (Multilevel Variational Inference for Hierarchical Bayesian Models). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/multilevel-variational-inference · 数据集: https://doi.org/10.5281/zenodo.20539026