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Sensitivity and Stability of Ranking Vectors

- T. Chartier, E. Kreutzer, A. Langville, Kathryn E. Pedings
- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 1 May 2011

TLDR

44 6

A minimum violations ranking method

- Kathryn E. Pedings, A. Langville, Y. Yamamoto
- Mathematics
- 14 June 2012

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

18 1- PDF

Sports Ranking with Nonuniform Weighting

- T. Chartier, E. Kreutzer, A. Langville, Kathryn E. Pedings
- Mathematics
- 19 July 2011

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 on… Expand

9 1

Spatio‐temporal models for large‐scale indicators of extreme weather

- Matthew J. Heaton, Matthias Katzfuss, +4 authors R. L. Smith
- Environmental Science
- 1 May 2011

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 of… Expand

31

Mathematics and Sports: Bracketology: How can math help?

- T. Chartier, E. Kreutzer, A. Langville, Kathryn E. Pedings
- Mathematics
- 2010

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

4- PDF

MINIMUM VIOLATIONS SPORTS RANKING USING EVOLUTIONARY OPTIMIZATION AND BINARY INTEGER LINEAR PROGRAM APPROACHES

- T. Chartier, E. Kreutzer, A. Langville, Kathryn E. Pedings, Y. Yamamoto
- Mathematics
- 2010

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 that… Expand

3

Universality of Rank 6 Plücker relations and Grassmann cone preserving maps

- A. Kasman, Kathryn E. Pedings, Amy Reiszl, T. Shiota
- Mathematics, Physics
- 5 October 2005

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 have… Expand

17- PDF

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

- Matthew J. Heaton, Matthias Katzfu, +5 authors R. L. Smith
- Geography
- 2009

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 in… Expand

1- PDF

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 are… Expand