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Trace norm regularization is a widely used approach for learning low rank matrices.
Summing and Nuclear Norms in Banach Space Theory
G. J. O. Jameson · 1987
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Some np-complete problems in quadratic and nonlinear programming
K. G. Murty and S. N. Kabadi · 1987
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The convex analysis of unitarily invariant matrix functions
A. S. Lewis · 1995
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Nonlinear programming
D. P. Bertsekas · 1999
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Convex Optimization
S. Boyd and L. Vandenberghe · 2004
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Fast maximum margin matrix factorization for collaborative prediction
J. D. M. Rennie and N. Srebro · 2005
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Maximum-margin matrix factorization
N. Srebro, J. D. M. Rennie, and T. S. Jaakkola · 2005
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Uncovering shared structures in multiclass classification
Y. Amit, M. Fink, N. Srebro, and S. Ullman · 2007
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Convex multi-task feature learning
A. Argyriou, T. Evgeniou, and M. Pontil · 2008
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Consistency of trace norm minimization
F. Bach · 2008
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Matrix factorization techniques for recommender systems
Y. Koren, R. Bell, and C. Volinsky · 2009
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A new approach to collaborative filtering
J. Abernethy, F. Bach, T. Evgeniou, and J.-P. Vert · 2009
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A fast iterative shrinkage-thresholding algorithm for linear inverse problems
A. Beck and M. Teboulle · 2009
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On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
H. Attouch and J. Bolte · 2009
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
H. H. Bauschke and P. L. Combettes · 2010
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Lifted coordinate descent for learning with trace-norm regularization
M. Dudik, Z. Harchaoui, and J. Malick · 2012
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Nuclear norm minimization via active subspace selection
C.-J. Hsieh and P. Olsen · 2014
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Sketching as a tool for numerical linear algebra
D. P Woodruff et al · 2014
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Matrix completion and low-rank svd via fast alternating least squares
T. Hastie, R. Mazumder, J. D. Lee, and R. Zadeh · 2015
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Global optimality in tensor factorization, deep learning, and beyond
B. D. Haeffele and R. Vidal · 2015
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Matrix completion has no spurious local minimum
R. Ge, J. D. Lee, and T. Ma · 2016
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Proximal alternating minimization and projection methods for nonconvex problems: An approach based on the kurdyka-łojasiewicz inequality
H. Attouch, J. Bolte, P. Redont, and A. Soubeyran · 2010
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Characterizations of łojasiewicz inequalities: subgradient flows, talweg, convexity
J. Bolte, A. Daniilidis, O. Ley, and L. Mazet · 2010
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Large-scale image classification with trace-norm regularization
Z. Harchaoui, M. Douze, M. Paulin, M. Dudik, and J. Malick · 2012
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Global optimality of local search for low rank matrix recovery
S. Bhojanapalli, B. Neyshabur, and N. Srebro · 2016
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Gradient descent only converges to minimizers
J. D. Lee, M. Simchowitz, M. I. Jordan, and B. Recht · 2016
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The movielens datasets: History and context
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