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Consider a movie recommendation system where apart from the ratings information, side information such as user's age or movie's genre is also available.
On perturbations of matrix pencils with real spectra
Ren-Cang Li · 1994
Earlier work this paper cites.
Exact matrix completion via convex optimization
Emmanuel J. Candès and Benjamin Recht · 2009
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The power of convex relaxation: Near-optimal matrix completion
Emmanuel J. Candès and Terence Tao · 2009
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Recovering low-rank matrices from few coefficients in any basis, 2009
David Gross · 2009
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Sparse and low-rank matrix decompositions
V. Chandrasekaran, S. Sanghavi, P. Parrilo, and A. Willsky · 2009
Earlier work this paper cites.
K. Lee and Y. Bresler · 2009
Cited alongside, same era.
A new approach to collaborative filtering: Operator estimation with spectral regularization
Jacob Abernethy, Francis Bach, Theodoros Evgeniou, and Jean-Philippe Vert · 2009
Cited alongside, same era.
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
Benjamin Recht, Maryam Fazel, and Pablo A. Parrilo · 2010
Cited alongside, same era.
Matrix completion from a few entries
Raghunandan H. Keshavan, Andrea Montanari, and Sewoong Oh · 2010
Cited alongside, same era.
Guaranteed rank minimization via singular value projection
Prateek Jain, Raghu Meka, and Inderjit S. Dhillon · 2010
Cited alongside, same era.
Robust principal component analysis?
Emmanuel J. Candès, Xiaodong Li, Yi Ma, and John Wright · 2011
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Noisy matrix decomposition via convex relaxation: Optimal rates in high dimensions
Alekh Agarwal, Sahand Negahban, and Martin J. Wainwright · 2011
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User-friendly tail bounds for sums of random matrices
Joel A. Tropp · 2012
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Low-rank matrix completion using alternating minimization
Prateek Jain, Praneeth Netrapalli, and Sujay Sanghavi · 2013
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Multi-label learning with millions of labels: Recommending advertiser bid phrases for web pages
Rahul Agrawal, Archit Gupta, Yashoteja Prabhu, and Manik Varma · 2013
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