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Modelo de Mezcla Gaussiana×Agrupamiento jerárquico×Análisis de Componentes Principales×
CampoAprendizaje automáticoAprendizaje automáticoAprendizaje automático
FamiliaMachine learningMachine learningMachine learning
Año de origen197719632002
Autor originalDempster, Laird & Rubin (EM algorithm)Ward, J. H.Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
TipoProbabilistic (soft) clustering — mixture modelUnsupervised clustering (agglomerative)Unsupervised dimensionality reduction
Fuente seminalDempster, A.P., Laird, N.M. & Rubin, D.B. (1977). Maximum Likelihood from Incomplete Data via the EM Algorithm. Journal of the Royal Statistical Society: Series B, 39(1), 1–22. DOI ↗Ward, J. H. (1963). Hierarchical Grouping to Optimize an Objective Function. Journal of the American Statistical Association, 58(301), 236–244. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
AliasGaussian Karışım Modeli (GMM Kümeleme), GMM, GMM clustering, mixture of GaussiansHiyerarşik Kümeleme, hiyerarşik kümeleme, agglomerative clustering, hierarchical agglomerative clusteringTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
Relacionados443
ResumenA Gaussian Mixture Model is a probabilistic clustering method that models the data as a weighted mixture of several Gaussian distributions, fitted with the Expectation–Maximization algorithm formalized by Dempster, Laird & Rubin in 1977. It is a generalization of K-means in which each cluster can take its own shape, size, and orientation.Hierarchical clustering is an unsupervised method that groups observations into nested clusters and draws the result as a dendrogram, so the number of clusters need not be fixed in advance. Its agglomerative form rests on the objective-function grouping criterion introduced by Joe Ward in 1963.Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.
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ScholarGateComparar métodos: Gaussian Mixture Model · Hierarchical Clustering · Principal Component Analysis. Recuperado el 2026-06-19 de https://scholargate.app/es/compare