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Due to challenging applications such as collaborative filtering, the matrix completion problem has been widely studied in the past few years.
Some PAC-Bayesian theorems
D.A. McAllester · 1998
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Statistical Learning Theory
V. Vapnik · 1998
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Smooth discrimination analysis
E. Mammen and A. Tsybakov · 1999
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Bayesian parameter estimation via variational methods
T. S. Jaakkola and M. I. Jordan · 2000
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A PAC-Bayesian margin bound for linear classifiers
R. Herbrich and T. Graepel · 2002
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PAC-Bayes & margins
J. Shawe-Taylor and J. Langford · 2003
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Statistical Learning Theory and Stochastic Optimization
O. Catoni · 2004
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Maximum-margin matrix factorization
N. Srebro, J. Rennie, and T. S. Jaakkola · 2004
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Statistical behavior and consistency of classification methods based on convex risk minimization
T. Zhang · 2004
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Pattern Recognition and Machine Learning (Information Science and Statistics)
C. M. Bishop · 2006
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PAC-Bayesian supervised classification: the thermodynamics of statistical learning
O. Catoni · 2007
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Variational Bayesian approach to movie rating prediction
Y. J. Lim and Y. W. Teh · 2007
Cited alongside, same era.
Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity
A. Dalalyan and A. B. Tsybakov · 2008
Cited alongside, same era.
The Bayesian Lasso
T. Park and G. Casella · 2008
Cited alongside, same era.
Bayesian probabilistic matrix factorization using Markov chain Monte Carlo
R. Salakhutdinov and A. Mnih · 2008
Cited alongside, same era.
Matrix Completion With Noise
E. J. Candès and Y. Plan · 2010
Cited alongside, same era.
PAC-Bayesian inequalities for martingales
Y. Seldin, F. Laviolette, N. Cesa-Bianchi, J. Shawe-Taylor, and P. Auer · 2012
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Concentration inequalities: A nonasymptotic theory of independence
S. Boucheron, G. Lugosi, and P. Massart · 2013
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A max-norm constrained minimization approach to 1-bit matrix completion
T. Cai and W.-X. Zhou · 2013
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Parallel stochastic gradient algorithms for large-scale matrix completion
B. Recht and C. Ré · 2013
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1-Bit Matrix Completion
M. A. Davenport, Y. Plan, E. van den Berg, and M. Wootters · 2014
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Adaptive Multinomial Matrix Completion
O. Klopp, J. Lafond, E. Moulines, and J. Salmon · 2014
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The power of convex relaxation: near-optimal matrix completion
E. J. Candès and T. Tao · 2010
Cited alongside, same era.
Penalized regression, standard errors, and Bayesian lassos
M. Kyung, J. Gill, M. Ghosh, and G. Casella · 2010
Cited alongside, same era.
Distributed optimization and statistical learning via the alternating direction method of multipliers
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein · 2011
Cited alongside, same era.
Exact matrix completion via convex optimization
E. J. Candès and B. Recht · 2012
Cited alongside, same era.
On the properties of variational approximations of Gibbs posteriors
P. Alquier, J. Ridgway, and N. Chopin · 2015
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Matrix estimation by universal singular value thresholding
S. Chatterjee · 2015
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Goodness of fit of logistic models for random graphs
Pierre Latouche, Stéphane Robin, and Sarah Ouadah · 2015
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A bayesian approach for noisy matrix completion: Optimal rate under general sampling distribution
T. T. Mai and P. Alquier · 2015
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