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डिरिचलेट प्रोसेस मिक्सचर मॉडल (DPMM)×मार्कोव चेन मोंटे कार्लो (MCMC)×
क्षेत्रबायेसियनबायेसियन
परिवारBayesian methodsBayesian methods
उद्भव वर्ष1973
प्रवर्तकFerguson (1973); mixture model formulation by Lo (1984)
प्रकारNonparametric Bayesian mixture modelPosterior sampling algorithm
मौलिक स्रोतFerguson, T. S. (1973). A Bayesian analysis of some nonparametric problems. The Annals of Statistics, 1(2), 209–230. DOI ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
उपनामDPMM, DP mixture model, infinite mixture model, Dirichlet process mixturemarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
संबंधित33
सारांशThe Dirichlet Process Mixture Model (DPMM) is a nonparametric Bayesian clustering method introduced through Ferguson's (1973) Dirichlet process prior that places a probability distribution over distributions. Unlike finite mixture models, the DPMM does not require the analyst to specify the number of clusters in advance; instead it infers the number of components from the data, allowing an effectively unbounded mixture that grows as more observations arrive.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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