On Ranking and Choice Models

In today's big data era, huge amounts of ranking and choice data are generated on a daily basis, and consequently, many powerful new computational tools for dealing with ranking and choice data have emerged in recent years. This paper highlights recent developments in two areas of ranking and choice modeling that cross traditional boundaries and are of multidisciplinary interest: ranking from pairwise comparisons, and automatic discovery of latent categories from choice survey data.

[1]  R. A. Bradley,et al.  Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons , 1952 .

[2]  Eyke Hüllermeier,et al.  A Survey of Preference-Based Online Learning with Bandit Algorithms , 2014, ALT.

[3]  Nebojsa Jojic,et al.  Efficient Ranking from Pairwise Comparisons , 2013, ICML.

[4]  D. McFadden Conditional logit analysis of qualitative choice behavior , 1972 .

[5]  Arun Rajkumar,et al.  Ranking from Pairwise Comparisons : The Role of the Pairwise Preference Matrix , 2016 .

[6]  Arun Rajkumar,et al.  A Statistical Convergence Perspective of Algorithms for Rank Aggregation from Pairwise Data , 2014, ICML.

[7]  R. Luce,et al.  Individual Choice Behavior: A Theoretical Analysis. , 1960 .

[8]  Arun Rajkumar,et al.  Ranking from Stochastic Pairwise Preferences: Recovering Condorcet Winners and Tournament Solution Sets at the Top , 2015, ICML.

[9]  H. Moulin Choosing from a tournament , 1986 .

[10]  Arun Rajkumar,et al.  When can we rank well from comparisons of \(O(n\log(n))\) non-actively chosen pairs? , 2016, COLT.

[11]  R. A. Bradley,et al.  RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS , 1952 .

[12]  Felix Brandt,et al.  Tournament Solutions , 2016, Handbook of Computational Social Choice.

[13]  James P. Keener,et al.  The Perron-Frobenius Theorem and the Ranking of Football Teams , 1993, SIAM Rev..

[14]  Mark Braverman,et al.  Noisy sorting without resampling , 2007, SODA '08.

[15]  M. Kendall Further contributions to the theory of paired comparisons , 1955 .

[16]  Devavrat Shah,et al.  Iterative ranking from pair-wise comparisons , 2012, NIPS.

[17]  J. Marden Analyzing and Modeling Rank Data , 1996 .

[18]  R. Duncan Luce,et al.  Individual Choice Behavior: A Theoretical Analysis , 1979 .

[19]  R. Pearl Biometrics , 1914, The American Naturalist.