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The process of rank aggregation is intimately intertwined with the structure of skew-symmetric matrices.
A canonical form for real matrices under orthogonal transformations
F. D. Murnaghan and A. Wintner · 1931
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On the method of paired comparison
M. G. Kendall and B. B. Smith · 1940
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A difficulty in the concept of social welfare
K. J. Arrow · 1950
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The magical number seven, plus or minus two: Some limits on our capacity for processing information
G. A. Miller · 1956
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Mathematics without numbers
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Rank according to Perron: A new insight
T. L. Saaty · 1987
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The method of paired comparisons
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Regression shrinkage and selection via the lasso
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L. Vandenberghe and S. Boyd · 1996
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Uncovering organizational hierarchies
L. C. Freeman · 1997
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Statistical models applied to the rating of sports teams
K. Massey · 1997
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Atomic decomposition by basis pursuit
S. S. Chen, D. L. Donoho, and M. A. Saunders · 1998
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Rank aggregation methods for the web
C. Dwork, R. Kumar, M. Naor, and D. Sivakumar · 2001
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Colley’s bias free college football ranking method: The Colley matrix explained
W. N. Colley · 2002
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Matrix rank minimization with applications
M. Fazel · 2002
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Recovery of exact sparse representations in the presence of noise
J.-J. Fuchs · 2004
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Ordering patterns by combining opinions from multiple sources
P.-N. Tan and R. Jin · 2004
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Aggregating inconsistent information: ranking and clustering
N. Ailon, M. Charikar, and A. Newman · 2005
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Proceedings of the SIGIR 2008 Workshop: Learning to Rank for Information Retrieval
H. Li, T.-Y. Liu, and C. Zhai, editors · 2008
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Exact matrix completion via convex optimization
E. J. Candès and B. Recht · 2009
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Set: an algorithm for consistent matrix completion
W. Dai and O. Milenkovic · 2009
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A gradient descent algorithm on the grassman manifold for matrix completion
R. H. Keshavan and S. Oh · 2009
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Admira: Atomic decomposition for minimum rank approximation
K. Lee and Y. Bresler · 2009
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N. Alon · 2006
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The Dantzig selector: Statistical estimation when
E. Candès and T. Tao · 2007
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Iterative filtering for a dynamical reputation system
C. de Kerchov and P. van Dooren · 2007
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A singular value thresholding algorithm for matrix completion
J.-F. Cai, E. J. Candès, and Z. Shen · 2008
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Improving the presentation and interpretation of online ratings data with model-based figures
D. E. Ho and K. M. Quinn · 2008
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The power of convex relaxation: Near-optimal matrix completion
E. J. Candès and T. Tao
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R. Mazumder, T. Hastie, and R. Tibshirani · 2009
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Learning optimal ranking with tensor factorization for tag recommendation
S. Rendle, L. Balby Marinho, A. Nanopoulos, and L. Schmidt-Thieme · 2009
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An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems
K.-C. Toh and S. Yun · 2009
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Recovering low-rank matrices from few coefficients in any basis
D. Gross · 2010
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Guaranteed rank minimization via singular value projection
P. Jain, R. Meka, and I. Dhillon · 2010
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Statistical ranking and combinatorial hodge theory
X. Jiang, L.-H. Lim, Y. Yao, and Y. Ye · 2010
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