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HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking

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title
HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking
author
Sizemore, Robert Kelly
abstract
In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method.
subject
Graph Theory
Hodge Theory
Sports Ranking
Topology
contributor
Parsley, Robert J (committee chair)
Mastin, John M (committee member)
Moore, William F (committee member)
date
2013-06-06T21:19:39Z (accessioned)
2013-06-06T21:19:39Z (available)
2013 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/38577 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

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