Title
Bayesian inference for Plackett-Luce ranking models
Abstract
This paper gives an efficient Bayesian method for inferring the parameters of a Plackett-Luce ranking model. Such models are parameterised distributions over rankings of a finite set of objects, and have typically been studied and applied within the psychometric, sociometric and econometric literature. The inference scheme is an application of Power EP (expectation propagation). The scheme is robust and can be readily applied to large scale data sets. The inference algorithm extends to variations of the basic Plackett-Luce model, including partial rankings. We show a number of advantages of the EP approach over the traditional maximum likelihood method. We apply the method to aggregate rankings of NASCAR racing drivers over the 2002 season, and also to rankings of movie genres.
Year
DOI
Venue
2009
10.1145/1553374.1553423
ICML
Keywords
Field
DocType
nascar racing driver,traditional maximum likelihood method,efficient bayesian method,bayesian inference,inference algorithm,ep approach,inference scheme,basic plackett-luce model,plackett-luce ranking model,aggregate ranking,power ep,bayesian method,seasonality,maximum likelihood method
Frequentist inference,Bayesian inference,Finite set,Ranking,Inference,Computer science,Artificial intelligence,Expectation propagation,Bayesian statistics,Machine learning,Bayesian probability
Conference
Citations 
PageRank 
References 
59
3.36
7
Authors
2
Name
Order
Citations
PageRank
John Guiver148221.48
Edward Snelson261041.42