Sharp nonasymptotic bounds on the norm of random matrices with independent entries, The Annals of Probability, vol.44, issue.4, pp.2479-2506, 2016. ,
DOI : 10.1214/15-AOP1025
Confidence balls in Gaussian regression, The Annals of Statistics, vol.32, issue.2, pp.528-551, 2004. ,
DOI : 10.1214/009053604000000085
URL : https://hal.archives-ouvertes.fr/hal-00012909
The netflix prize, Proceedings of KDD Cup and Workshop, 2007. ,
Semidefinite programming based algorithms for sensor network localization, ACM Transactions on Sensor Networks, vol.2, issue.2, pp.188-220, 2006. ,
DOI : 10.1145/1149283.1149286
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.83.1023
Concentration Inequalities, 2013. ,
DOI : 10.1007/978-1-4757-2440-0
URL : https://hal.archives-ouvertes.fr/hal-00751496
Adaptive confidence sets in L 2 . Probab. Theory Related Fields, pp.889-919, 2013. ,
DOI : 10.1007/s00440-012-0446-z
URL : http://arxiv.org/abs/1111.5568
An adaptation theory for nonparametric confidence intervals, Ann. Statist, vol.32, issue.5, pp.1805-1840, 2004. ,
Accuracy assessment for high-dimensional linear regression, 2016. ,
Matrix completion via max-norm constrained optimization, Electronic Journal of Statistics, vol.10, issue.1, pp.1493-1525, 2016. ,
DOI : 10.1214/16-EJS1147
URL : http://arxiv.org/abs/1303.0341
Exact Matrix Completion via Convex Optimization, Foundations of Computational Mathematics, vol.170, issue.1, pp.717-772, 2009. ,
DOI : 10.1007/s10208-009-9045-5
The Power of Convex Relaxation: Near-Optimal Matrix Completion, IEEE Transactions on Information Theory, vol.56, issue.5, pp.2053-2080, 2010. ,
DOI : 10.1109/TIT.2010.2044061
Matrix Completion With Noise, Proceedings of IEEE, pp.925-936, 2009. ,
DOI : 10.1109/JPROC.2009.2035722
Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements, IEEE Transactions on Information Theory, vol.57, issue.4, pp.2342-2359, 2011. ,
DOI : 10.1109/TIT.2011.2111771
Honest and adaptive confidence sets in L p . Electron, J. Statist, vol.7, pp.2875-2923, 2013. ,
Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems, 2015. ,
On signal detection and confidence sets for low rank inference problems, Electronic Journal of Statistics, vol.9, issue.2, pp.2675-2688, 2015. ,
DOI : 10.1214/15-EJS1087
Matrix estimation by Universal Singular Value Thresholding, The Annals of Statistics, vol.43, issue.1, pp.177-214, 2015. ,
DOI : 10.1214/14-AOS1272
URL : http://arxiv.org/abs/1212.1247
Genotype imputation via matrix completion, Genome Research, vol.23, issue.3, pp.509-518, 2013. ,
DOI : 10.1101/gr.145821.112
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3589539
Confidence bands in density estimation, The Annals of Statistics, vol.38, issue.2, pp.1122-1170, 2010. ,
DOI : 10.1214/09-AOS738
Mathematical Foundations of Infinite-Dimensional Statistical Methods, 2016. ,
Using collaborative filtering to weave an information tapestry, Communications of the ACM, vol.35, issue.12, pp.61-70, 1992. ,
DOI : 10.1145/138859.138867
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.3739
Recovering Low-Rank Matrices From Few Coefficients in Any Basis, IEEE Transactions on Information Theory, vol.57, issue.3, pp.1548-1566, 2011. ,
DOI : 10.1109/TIT.2011.2104999
On adaptive inference and confidence bands, The Annals of Statistics, vol.39, issue.5, pp.2383-2409, 2011. ,
DOI : 10.1214/11-AOS903
URL : https://hal.archives-ouvertes.fr/hal-00692981
Low-rank matrix completion using alternating minimization, Proceedings of the 45th annual ACM symposium on Symposium on theory of computing, STOC '13, pp.665-674, 2013. ,
DOI : 10.1145/2488608.2488693
URL : http://arxiv.org/abs/1212.0467
Nonparametric confidence set estimation, Math. Methods Statist, vol.12, issue.4, pp.410-428, 2004. ,
Matrix completion from noisy entries, J. Mach. Learn. Res, vol.11, pp.2057-2078, 2010. ,
DOI : 10.1109/isit.2009.5205567
URL : http://arxiv.org/abs/0901.3150
Noisy low-rank matrix completion with general sampling distribution, Bernoulli, vol.20, issue.1, pp.282-303, 2014. ,
DOI : 10.3150/12-BEJ486
URL : https://hal.archives-ouvertes.fr/hal-00675413
Matrix completion by singular value thresholding: Sharp bounds, Electronic Journal of Statistics, vol.9, issue.2, pp.2348-2369, 2015. ,
DOI : 10.1214/15-EJS1076
URL : https://hal.archives-ouvertes.fr/hal-01111757
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion, The Annals of Statistics, vol.39, issue.5, pp.2302-2329, 2011. ,
DOI : 10.1214/11-AOS894
URL : https://hal.archives-ouvertes.fr/hal-00676868
On nonparametric confidence intervals, The Annals of Statistics, vol.25, issue.6, pp.2547-2554, 1997. ,
DOI : 10.1214/aos/1030741084
Restricted strong convexity and weighted matrix completion: Optimal bounds with noise, J. Mach. Learn. Res, vol.13, pp.1665-1697, 2012. ,
A sharp adaptive confidence ball for self-similar functions. Stochastic Process, Appl, vol.126, issue.12, pp.3913-3934, 2016. ,
DOI : 10.1016/j.spa.2016.04.017
URL : http://arxiv.org/abs/1406.3994
Confidence sets in sparse regression, The Annals of Statistics, vol.41, issue.6, pp.2852-2876, 2013. ,
DOI : 10.1214/13-AOS1170
URL : http://arxiv.org/abs/1209.1508
A simpler approach to matrix completion, J. Mach. Learn. Res, vol.12, pp.3413-3430, 2011. ,
Adaptive nonparametric confidence sets, The Annals of Statistics, vol.34, issue.1, pp.229-253, 2007. ,
DOI : 10.1214/009053605000000877
URL : http://arxiv.org/abs/math/0605473
Estimation of high-dimensional low-rank matrices, The Annals of Statistics, vol.39, issue.2, pp.887-930, 2011. ,
DOI : 10.1214/10-AOS860
URL : https://hal.archives-ouvertes.fr/hal-00606063
A remark on global positioning from local distances, Proceedings of the National Academy of Sciences, vol.105, issue.28, pp.9507-9511, 2008. ,
DOI : 10.1073/pnas.0709842104
Frequentist coverage of adaptive nonparametric Bayesian credible sets, The Annals of Statistics, vol.43, issue.4, pp.1391-1428, 2015. ,
DOI : 10.1214/14-AOS1270
New concentration inequalities in product spaces, Inventiones Mathematicae, vol.126, issue.3, pp.505-563, 1996. ,
DOI : 10.1007/s002220050108