. . . . . . . Dirichlet Version 0.03 : 2012 10 29 Dirichlet 1 / 36 Bayesian Dirichlet inference Graham Dirichlet 2 / 36 (Multinomial distribution) x K θ = (0.1, 0.6, 0.3) θ x = (x1, · · · , xN) θ xⲠBayes θ x xⲠDirichlet 3 / 36 N-gram language model (V ) HMM POS tagging Probabilistic context-free grammar (PCFG) Topic model Dirichlet 4 / 36 : Hidden Markov Model POS tagging DT NN VT NN the sun has
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