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Višerazinska varijaciona inferencija×Variational Inference×
OblastBajesovska statistikaBajesovska statistika
PorodicaBayesian methodsBayesian methods
Godina nastanka20161999
TvoracRanganath, Altosaar, Tran, Blei (hierarchical VI formalization, 2016); Blei et al. (VI framework, 2017)Jordan, Ghahramani, Jaakkola & Saul
Tipapproximate Bayesian inferenceApproximate Bayesian inference
Temeljni izvorBlei, 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 ↗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 ↗
Drugi nazivihierarchical variational inference, multilevel VI, variational Bayes for multilevel models, MLVIVI, variational Bayes, VB, mean-field variational inference
Srodne44
SažetakMultilevel variational inference (MLVI) is a scalable approximate Bayesian method that fits hierarchical (multilevel) models by optimizing a variational approximation to the posterior, rather than drawing MCMC samples. It exploits the grouped structure of multilevel data — individuals nested within groups, groups nested within higher-level units — to derive efficient coordinate-wise updates, making Bayesian inference tractable for large clustered datasets.Variational inference (VI) is a family of techniques that turn Bayesian posterior computation into an optimisation problem. Instead of drawing samples from the exact posterior — as Markov chain Monte Carlo does — VI posits a simpler, tractable family of distributions and finds the member of that family closest to the true posterior by maximising the evidence lower bound (ELBO). Introduced in its modern graphical-model form by Jordan, Ghahramani, Jaakkola and Saul (1999) and given a comprehensive statistical treatment by Blei, Kucukelbir and McAuliffe (2017), VI is now the standard scalable inference engine in probabilistic machine learning.
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ScholarGateUporedite metode: Multilevel Variational Inference · Variational Inference. Preuzeto 2026-06-17 sa https://scholargate.app/sr/compare