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Sensitivity and Stability of Ranking Vectors
TLDR
We conduct an analysis of the sensitivity of three linear algebra-based ranking methods: the PageRank, Colley, Massey, and Markov methods, and a perturbation analysis of their rank stability. Expand
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A minimum violations ranking method
We present a rating method that, given information on the pairwise comparisons of n items, minimizes the number of inconsistencies in the ranking of those items. Our Minimum Violations Ranking (MVR)Expand
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Sports Ranking with Nonuniform Weighting
This paper introduces the integration of nonuniform weighting for sports ranking. While the ideas of the paper can be applied to any ranking method, a careful investigation is conducted onExpand
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Spatio‐temporal models for large‐scale indicators of extreme weather
Extreme weather events such as thunderstorms and tornadoes are of great concern as these events pose a significant threat to life, property, and economic stability. Because of the difficulty ofExpand
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Mathematics and Sports: Bracketology: How can math help?
Every year, people across the United States predict how the field of 65 teams will play in the Division I NCAA Men’s Basketball Tournament by filling out a tournament bracket for the postseason play.Expand
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MINIMUM VIOLATIONS SPORTS RANKING USING EVOLUTIONARY OPTIMIZATION AND BINARY INTEGER LINEAR PROGRAM APPROACHES
Typically the binary integer linear program (BILP) formulation of the minimum violations ranking (MVR) problem and related rank aggregation problem is the preferred way to find a ranking thatExpand
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Universality of Rank 6 Plücker relations and Grassmann cone preserving maps
The Plucker relations define a projective embedding of the Grassmann variety Gr(p, n). We give another finite set of quadratic equations which defines the same embedding, and whose elements all haveExpand
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Department of Social Systems and Management Discussion Paper Series No . 1261 A Minimum Violations Ranking Method
We present a rating method that, given information on the pairwise comparisons of n items, minimizes the number of inconsistencies in the ranking of those items. Our Minimum Violations Ranking (MVR)Expand
SEVERE WEATHER UNDER A CHANGING CLIMATE: LARGE-SCALE INDICATORS OF EXTREME EVENTS
Global warming has become a generally accepted theory in the past decade or so. A recent wave of severe storms has raised the question of whether global warming has or will result in an increase inExpand
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Universality of Rank 6 Pl¨ucker Relations and Gcp Maps
The Plücker relations define a projective embedding of the Grass-mann variety Gr(k, n). We give another set of equations, which defines the same embedding, and whose elements all have rank 6 and areExpand