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We show that matrix completion with trace-norm regularization can be significantly hurt when entries of the matrix are sampled non-uniformly.
A rank minimization heuristic with application to minimum order system approximation
Fazel, M., Hindi, H., and Boyd, S.P · 2001
Earlier work this paper cites.
Local minima and convergence in low-rank semidefinite programming
Burer, S. and Monteiro, R.D.C · 2005
Earlier work this paper cites.
Fast maximum margin matrix factorization for collaborative prediction
Rennie, J.D.M. and Srebro, N · 2005
Earlier work this paper cites.
Rank, trace-norm and max-norm
Srebro, N. and Shraibman, A · 2005
Earlier work this paper cites.
Consistency of trace norm minimization
Bach, F · 2008
Earlier work this paper cites.
Factorization meets the neighborhood: a multifaceted collaborative filtering model
Koren, Yehuda · 2008
Cited alongside, same era.
Probabilistic matrix factorization
Salakhutdinov, Ruslan and Mnih, Andriy · 2008
Cited alongside, same era.
A new approach to collaborative filtering: Operator estimation with spectral regularization
Abernethy, J., Bach, F., Evgeniou, T., and Vert, J.P · 2009
Cited alongside, same era.
Matrix completion with noise
Candes, E.J. and Plan, Y · 2009
Cited alongside, same era.
Generalization error bounds for collaborative prediction with low-rank matrices
Srebro, N., Alon, N., and Jaakkola, T
Cited in the paper.
Maximum margin matrix factorization
Srebro, N., Rennie, J., and Jaakkola, T
Cited in the paper.
Exact matrix completion via convex optimization
Candes, E.J. and Recht, B · 2009
Later among the works it cites.
The power of convex relaxation: Near-optimal matrix completion
Candes, E.J. and Tao, T · 2009
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A simpler approach to matrix completion
Recht, B · 2009
Later among the works it cites.
Scalable collaborative filtering approaches for large recommender systems
Takács, Gábor, Pilászy, István, Németh, Bottyán, and Tikk, Domonkos · 2009
Later among the works it cites.
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