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分层变分推断

分层变分推断(Hierarchical Variational Inference, HVI)通过在变分族本身之上放置更丰富的分层结构来扩展标准变分推断。HVI不使用简单的均值场近似,而是引入辅助潜在变量来捕捉主要潜在变量之间的依赖关系,从而为复杂的贝叶斯模型产生更紧的证据下界(evidence lower bound, ELBO)和更精确的后验近似。

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来源

  1. Ranganath, R., Altosaar, J., Tran, D. & Blei, D. M. (2016). Hierarchical Variational Models. Proceedings of the 33rd International Conference on Machine Learning (ICML 2016), PMLR 48, 324-333. link
  2. Jordan, M. I., Ghahramani, Z., Jaakkola, T. S. & Saul, L. K. (1999). An introduction to variational methods for graphical models. Machine Learning, 37(2), 183-233. DOI: 10.1023/A:1007665907178

如何引用本页

ScholarGate. (2026, June 3). Hierarchical Variational Inference. ScholarGate. https://scholargate.app/zh/bayesian/hierarchical-variational-inference

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ScholarGateHierarchical Variational Inference (Hierarchical Variational Inference). 于 2026-06-15 检索自 https://scholargate.app/zh/bayesian/hierarchical-variational-inference · 数据集: https://doi.org/10.5281/zenodo.20539026