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Multilevel Variational Inferens

Multilevel variational inferens (MLVI) er en skalerbar approksimativ Bayesiansk metode, der tilpasser hierarkiske (multilevel) modeller ved at optimere en variationel approksimation til posteriorfordelingen, snarere end at trække MCMC-samples. Den udnytter den grupperede struktur af multilevel-data — individer indlejret i grupper, grupper indlejret i enheder på højere niveau — til at udlede effektive koordinatvise opdateringer, hvilket gør Bayesiansk inferens håndterbar for store klyngede datasæt.

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Kilder

  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

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

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ScholarGateMultilevel Variational Inference (Multilevel Variational Inference for Hierarchical Bayesian Models). Hentet 2026-06-15 fra https://scholargate.app/da/bayesian/multilevel-variational-inference · Datasæt: https://doi.org/10.5281/zenodo.20539026