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» Rank Aggregation via Nuclear Norm Minimization
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CORR
2011
Springer
144views Education» more  CORR 2011»
12 years 8 months ago
Rank Aggregation via Nuclear Norm Minimization
The process of rank aggregation is intimately intertwined with the structure of skew-symmetric matrices. We apply recent advances in the theory and algorithms of matrix completion...
David F. Gleich, Lek-Heng Lim
SIAMREV
2010
174views more  SIAMREV 2010»
12 years 11 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
ICASSP
2011
IEEE
12 years 8 months ago
Improved thresholds for rank minimization
—Nuclear norm minimization (NNM) has recently gained attention for its use in rank minimization problems. In this paper, we define weak, sectional and strong recovery for NNM to...
Samet Oymak, M. Amin Khajehnejad, Babak Hassibi
CDC
2008
IEEE
145views Control Systems» more  CDC 2008»
13 years 4 months ago
Necessary and sufficient conditions for success of the nuclear norm heuristic for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
ICASSP
2010
IEEE
13 years 4 months ago
A nullspace analysis of the nuclear norm heuristic for rank minimization
The problem of minimizing the rank of a matrix subject to linear equality constraints arises in applications in machine learning, dimensionality reduction, and control theory, and...
Krishnamurthy Dvijotham, Maryam Fazel