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Dirichlet Process Mixture Model

Dirichlet Process Mixture Model (DPMM) er en ikke-parametrisk Bayesiansk klynge metode introduceret gennem Ferguson's (1973) Dirichlet process prior, der placerer en sandsynlighedsfordeling over fordelinger. I modsætning til endelige mixture-modeller kræver DPMM ikke, at analytikeren specificerer antallet af klynger på forhånd; i stedet udleder den antallet af komponenter fra dataene, hvilket tillader en effektivt ubegrænset mixture, der vokser, efterhånden som flere observationer ankommer.

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Kilder

  1. Ferguson, T. S. (1973). A Bayesian analysis of some nonparametric problems. The Annals of Statistics, 1(2), 209–230. DOI: 10.1214/aos/1176342360
  2. Neal, R. M. (2000). Markov chain sampling methods for Dirichlet process mixture models. Journal of Computational and Graphical Statistics, 9(2), 249–265. DOI: 10.1080/10618600.2000.10474879
  3. Hjort, N. L., Holmes, C., Müller, P., & Walker, S. G. (Eds.) (2010). Bayesian Nonparametrics. Cambridge University Press. ISBN: 978-0-521-51346-3

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ScholarGate. (2026, June 3). Dirichlet Process Mixture Model. ScholarGate. https://scholargate.app/da/bayesian/dirichlet-process-mixture-model

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ScholarGateDirichlet Process Mixture Model (Dirichlet Process Mixture Model). Hentet 2026-06-15 fra https://scholargate.app/da/bayesian/dirichlet-process-mixture-model · Datasæt: https://doi.org/10.5281/zenodo.20539026