Hierarchical Beta Processes and the Indian Buffet Process
作者： Romain Thibaux , Michael I Jordan , None
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摘要: We show that the beta process is de Finetti mixing distribution underlying Indian buffet of [2]. This result shows plays role for Dirichlet Chinese restaurant process, a parallel guides us in deriving analogs many known extensions process. In particular we define Bayesian hierarchies processes and use connection to develop posterior inference algorithms also present an application document classification, exploring relationship between hierarchical smoothed naive Bayes models.
berkeley.edu参考文章(11)
B. C. Brookes, Paul Levy, Théorie de l'addition des variables aléatoires The Mathematical Gazette. ,vol. 39, pp. 344- ,(1955) , 10.2307/3608623
Charles E. Antoniak, Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric Problems Annals of Statistics. ,vol. 2, pp. 1152- 1174 ,(1974) , 10.1214/AOS/1176342871
Nils Lid Hjort, Nonparametric Bayes Estimators Based on Beta Processes in Models for Life History Data Annals of Statistics. ,vol. 18, pp. 1259- 1294 ,(1990) , 10.1214/AOS/1176347749
Yongdai Kim, NONPARAMETRIC BAYESIAN ESTIMATORS FOR COUNTING PROCESSES Annals of Statistics. ,vol. 27, pp. 562- 588 ,(1999) , 10.1214/AOS/1018031207
Jaeyong Lee, Yongdai Kim, A new algorithm to generate beta processes Computational Statistics & Data Analysis. ,vol. 47, pp. 441- 453 ,(2004) , 10.1016/J.CSDA.2003.12.008
A. Khintchine, Korrelationstheorie der stationären stochastischen Prozesse Mathematische Annalen. ,vol. 109, pp. 604- 615 ,(1934) , 10.1007/BF01449156
Zoubin Ghahramani, Thomas L. Griffiths, Infinite latent feature models and the Indian buffet process neural information processing systems. ,vol. 18, pp. 475- 482 ,(2005)
Robert L. Wolpert, Katja Ickstadt, Simulation of Lévy Random Fields Springer, New York, NY. pp. 227- 242 ,(1998) , 10.1007/978-1-4612-1732-9_12
Jaime Teevan, Jason D. M. Rennie, Lawrence Shih, David R. Karger, Tackling the poor assumptions of naive bayes text classifiers international conference on machine learning. pp. 616- 623 ,(2003)
Yee Whye Teh, Michael I Jordan, Matthew J Beal, David M Blei, Hierarchical Dirichlet Processes Journal of the American Statistical Association. ,vol. 101, pp. 1566- 1581 ,(2006) , 10.1198/016214506000000302