Boosting Density Estimation

作者: Saharon Rosset , Eran Segal

DOI:

关键词: Gradient boostingMachine learningAlgorithmUnsupervised learningGradient descentLearnabilityMathematicsBoosting (machine learning)Function spaceBayesian networkDensity estimationArtificial intelligence

摘要: Several authors have suggested viewing boosting as a gradient descent search for good fit in function space. We apply gradient-based methodology to the unsupervised learning problem of density estimation. show convergence properties algorithm and prove that strength weak learnability property applies this well. illustrate potential approach through experiments with Bayesian networks learn models.

参考文章(19)
John Stutz, Peter Cheeseman, Bayesian classification (AutoClass): theory and results knowledge discovery and data mining. pp. 153- 180 ,(1996)
Christopher M. Bishop, Neural networks for pattern recognition ,(1995)
Richard A Olshen, Charles J Stone, Leo Breiman, Jerome H Friedman, Classification and regression trees ,(1983)
David Heckerman, A tutorial on learning with Bayesian networks Proceedings of the NATO Advanced Study Institute on Learning in graphical models. pp. 301- 354 ,(1999) , 10.1007/978-3-540-85066-3_3
Jerome H. Friedman, Greedy function approximation: A gradient boosting machine. Annals of Statistics. ,vol. 29, pp. 1189- 1232 ,(2001) , 10.1214/AOS/1013203451
David Maxwell Chickering, David Heckerman, Bo Thiesson, Christopher Meek, Learning mixtures of DAG models uncertainty in artificial intelligence. pp. 504- 513 ,(1998)
Robert E. Schapire, Yoav Freund, Peter Bartlett, Wee Sun Lee, Boosting the margin: a new explanation for the effectiveness of voting methods Annals of Statistics. ,vol. 26, pp. 1651- 1686 ,(1998) , 10.1214/AOS/1024691352
Yoav Freund, Robert E Schapire, A Decision-Theoretic Generalization of On-Line Learning and an Application to Boosting conference on learning theory. ,vol. 55, pp. 119- 139 ,(1997) , 10.1006/JCSS.1997.1504
Jerome Friedman, Trevor Hastie, Robert Tibshirani, Additive logistic regression: a statistical view of boosting (With discussion and a rejoinder by the authors) Annals of Statistics. ,vol. 28, pp. 337- 407 ,(2000) , 10.1214/AOS/1016218223
Marina Meilă, Tommi Jaakkola, Tractable Bayesian learning of tree belief networks uncertainty in artificial intelligence. ,vol. 16, pp. 380- 388 ,(2000) , 10.1007/S11222-006-5535-3