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2018
Adaptive sup-norm estimation of the wigner function in noisy quantum homodyne tomography
Annals of statistics, vol. 46, iss. 3, pp. 1318-1351, 2018.
By K. Lounici, K. Meziani, and G. Peyré@article{Lounici20181318, author={Lounici, K. and Meziani, K. and Peyré, G.}, title={Adaptive sup-norm estimation of the Wigner function in noisy quantum homodyne tomography}, journal={Annals of Statistics}, year={2018}, volume={46}, number={3}, pages={1318-1351}, doi={10.1214/17-AOS1586}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85047471667&doi=10.1214%2f17-AOS1586&partnerID=40&md5=98e1040d722ee11518623f1d707cc629}, publisher={Institute of Mathematical Statistics}, }
2017
Robust matrix completion
Probability theory and related fields, vol. 169, iss. 1-2, pp. 523-564, 2017.
By O. Klopp, K. Lounici, and A. B. Tsybakov@article{Klopp2017523, author={Klopp, O. and Lounici, K. and Tsybakov, A.B.}, title={Robust matrix completion}, journal={Probability Theory and Related Fields}, year={2017}, volume={169}, number={1-2}, pages={523-564}, doi={10.1007/s00440-016-0736-y}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84983445835&doi=10.1007%2fs00440-016-0736-y&partnerID=40&md5=b5bdbad468f45c041d2131821770f5d5}, publisher={Springer New York LLC}, }
2016
Estimation of low-rank covariance function
Stochastic processes and their applications, vol. 126, iss. 12, pp. 3952-3967, 2016.
By V. Koltchinskii, K. Lounici, and A. B. Tsybakov@article{Koltchinskii20163952, author={Koltchinskii, V. and Lounici, K. and Tsybakov, A.B.}, title={Estimation of low-rank covariance function}, journal={Stochastic Processes and their Applications}, year={2016}, volume={126}, number={12}, pages={3952-3967}, doi={10.1016/j.spa.2016.04.006}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84969964130&doi=10.1016%2fj.spa.2016.04.006&partnerID=40&md5=1e3350a5864e8537e16742ef89b95e9d}, publisher={Elsevier B.V.}, }
2011
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion
Annals of statistics, vol. 39, iss. 5, pp. 2302-2329, 2011.
By V. Koltchinskii, K. Lounici, and A. B. Tsybakov@article{Koltchinskii20112302, author={Koltchinskii, V. and Lounici, K. and Tsybakov, A.B.}, title={Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion}, journal={Annals of Statistics}, year={2011}, volume={39}, number={5}, pages={2302-2329}, doi={10.1214/11-AOS894}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-82655171609&doi=10.1214%2f11-AOS894&partnerID=40&md5=d196bec4fb075748b70cefb4eb5e33fc}, }
Pac-bayesian bounds for sparse regression estimation with exponential weights
Electronic journal of statistics, vol. 5, pp. 127-145, 2011.
By P. Alquier and K. Lounici@article{Alquier2011127, author={Alquier, P. and Lounici, K.}, title={PAC-Bayesian bounds for sparse regression estimation with exponential weights}, journal={Electronic Journal of Statistics}, year={2011}, volume={5}, pages={127-145}, doi={10.1214/11-EJS601}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960999147&doi=10.1214%2f11-EJS601&partnerID=40&md5=03c8fc93a6e84fb6c8346177752fc818}, }
Oracle inequalities and optimal inference under group sparsity
Annals of statistics, vol. 39, iss. 4, pp. 2164-2204, 2011.
By K. Lounici, M. Pontil, S. Van De Geer, and A. B. Tsybakov@article{Lounici20112164, author={Lounici, K. and Pontil, M. and Van De Geer, S. and Tsybakov, A.B.}, title={Oracle inequalities and optimal inference under group sparsity}, journal={Annals of Statistics}, year={2011}, volume={39}, number={4}, pages={2164-2204}, doi={10.1214/11-AOS896}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-84855412474&doi=10.1214%2f11-AOS896&partnerID=40&md5=7b317396150f020886542c98172397db}, publisher={Institute of Mathematical Statistics}, }
2008
Sup-norm convergence rate and sign concentration property of lasso and dantzig estimators
Electronic journal of statistics, vol. 2, pp. 90-102, 2008.
By K. Lounici@article{Lounici200890, author={Lounici, K.}, title={Sup-norm convergence rate and sign concentration property of lasso and dantzig estimators}, journal={Electronic Journal of Statistics}, year={2008}, volume={2}, pages={90-102}, doi={10.1214/08-EJS177}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-56449113372&doi=10.1214%2f08-EJS177&partnerID=40&md5=6fecedcd08a549b3c7da8beb26a50b60}, }