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베이지안 K-평균 군집화×잠재 계층 분석(Latent Class Analysis, LCA)×
분야통계학통계학
계열Latent structureLatent structure
기원 연도2006–20121950s–1968
창시자Kulis & Jordan (ICML 2012) formalized the Bayesian nonparametric derivation; Bishop (2006) established the variational Bayesian EM framework for Gaussian mixture models as a probabilistic foundationPaul F. Lazarsfeld
유형Probabilistic clustering / Bayesian nonparametricLatent variable / person-centered classification
원전Kulis, B. & Jordan, M. I. (2012). Revisiting k-means: New algorithms via Bayesian nonparametrics. In Proceedings of the 29th International Conference on Machine Learning (ICML), Edinburgh, Scotland, pp. 513–520. link ↗Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231. DOI ↗
별칭Bayesian K-means, probabilistic K-means, Dirichlet K-means, BKMLCA, latent class model, latent categorical analysis, finite mixture of multinomials
관련66
요약Bayesian K-means clustering extends the classical K-means algorithm by placing prior distributions over cluster centroids and mixing proportions. This probabilistic framework provides uncertainty estimates for cluster assignments, allows principled model selection for the number of clusters, and regularises centroid estimation — especially valuable when data are scarce or high-dimensional.Latent class analysis identifies unobserved subgroups — latent classes — within a population by finding patterns of responses across a set of categorical observed indicators. It is the categorical-variable counterpart of cluster analysis, but grounded in an explicit probabilistic model, and is widely used in social, health, and behavioral sciences to discover typologies in survey or diagnostic data.
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