手法を比較

	変分推論	潜在的ディリクレ配分法 (LDA)
分野	ベイズ	機械学習
系統	Bayesian methods	Latent structure
提唱年	1999	2003
提唱者	Jordan, Ghahramani, Jaakkola & Saul	Blei, D. M.; Ng, A. Y.; Jordan, M. I.
種類	Approximate Bayesian inference	Generative probabilistic topic model (three-level hierarchical Bayesian)
原典	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.	Blei, D. M., Ng, A. Y., & Jordan, M. I. (2003). Latent Dirichlet allocation. Journal of Machine Learning Research, 3, 993–1022.
別名	VI, variational Bayes, VB, mean-field variational inference	LDA, topic model, Blei-Ng-Jordan model, probabilistic topic modeling
関連	4	3
概要	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.	Latent Dirichlet Allocation (LDA) is a generative probabilistic model for collections of discrete data, introduced by Blei, Ng, and Jordan in 2003. It treats each document as a mixture of latent topics and each topic as a probability distribution over words, enabling unsupervised discovery of thematic structure across large text corpora. It is one of the most cited papers in machine learning and natural language processing.