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2022
Relaxing the gaussian assumption in shrinkage and sure in high dimension
Annals of statistics, vol. 50, iss. 5, pp. 2737-2766, 2022.
By M. Fathi, L. Goldstein, G. Reinert, and A. Saumard@article{Fathi20222737, author={Fathi, M. and Goldstein, L. and Reinert, G. and Saumard, A.}, title={RELAXING THE GAUSSIAN ASSUMPTION IN SHRINKAGE AND SURE IN HIGH DIMENSION}, journal={Annals of Statistics}, year={2022}, volume={50}, number={5}, pages={2737-2766}, doi={10.1214/22-AOS2208}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143916326&doi=10.1214%2f22-AOS2208&partnerID=40&md5=24812da70d825ae76d4e4401c66353a2}, publisher={Institute of Mathematical Statistics}, }
K-bmom: a robust lloyd-type clustering algorithm based on bootstrap median-of-means
Computational statistics and data analysis, vol. 167, 2022.
By C. Brunet-Saumard, E. Genetay, and A. Saumard@article{Brunet-Saumard2022, author={Brunet-Saumard, C. and Genetay, E. and Saumard, A.}, title={K-bMOM: A robust Lloyd-type clustering algorithm based on bootstrap median-of-means}, journal={Computational Statistics and Data Analysis}, year={2022}, volume={167}, doi={10.1016/j.csda.2021.107370}, art_number={107370}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85117286100&doi=10.1016%2fj.csda.2021.107370&partnerID=40&md5=e14e9ba6ad931f8653c400753eec7e5e}, publisher={Elsevier B.V.}, }
2021
Finite sample improvement of akaike's information criterion
Ieee transactions on information theory, vol. 67, iss. 10, pp. 6328-6343, 2021.
By A. Saumard and F. Navarro@article{Saumard20216328, author={Saumard, A. and Navarro, F.}, title={Finite Sample Improvement of Akaike's Information Criterion}, journal={IEEE Transactions on Information Theory}, year={2021}, volume={67}, number={10}, pages={6328-6343}, doi={10.1109/TIT.2021.3094770}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85112597936&doi=10.1109%2fTIT.2021.3094770&partnerID=40&md5=44c56fb8a559860ee24a1d804f2884b6}, publisher={Institute of Electrical and Electronics Engineers Inc.}, }
2020
Local differential privacy: elbow effect in optimal density estimation and adaptation over besov ellipsoids
Bernoulli, vol. 26, iss. 3, pp. 1727-1764, 2020.
By C. Butucea, A. Dubois, M. Kroll, and A. Saumard@article{Butucea20201727, author={Butucea, C. and Dubois, A. and Kroll, M. and Saumard, A.}, title={Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids}, journal={Bernoulli}, year={2020}, volume={26}, number={3}, pages={1727-1764}, doi={10.3150/19-BEJ1165}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091187918&doi=10.3150%2f19-BEJ1165&partnerID=40&md5=a553a71ab70c97f6dfa365d2aa4af54b}, publisher={International Statistical Institute}, }
2019
An extremal property of the normal distribution, with a discrete analog
Statistics and probability letters, vol. 145, pp. 181-186, 2019.
By E. Hillion, O. Johnson, and A. Saumard@article{Hillion2019181, author={Hillion, E. and Johnson, O. and Saumard, A.}, title={An extremal property of the normal distribution, with a discrete analog}, journal={Statistics and Probability Letters}, year={2019}, volume={145}, pages={181-186}, doi={10.1016/j.spl.2018.08.018}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054804365&doi=10.1016%2fj.spl.2018.08.018&partnerID=40&md5=28cdc184bc7015ab2d8046a2d2aa2be0}, publisher={Elsevier B.V.}, }
Weighted poincaré inequalities, concentration inequalities and tail bounds related to stein kernels in dimension one
Bernoulli, vol. 25, iss. 4B, pp. 3978-4006, 2019.
By A. Saumard@article{Saumard20193978, author={Saumard, A.}, title={Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one}, journal={Bernoulli}, year={2019}, volume={25}, number={4B}, pages={3978-4006}, doi={10.3150/19-BEJ1117}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073053217&doi=10.3150%2f19-BEJ1117&partnerID=40&md5=b329bcec715ee5cfe5bf9f976ebac7fe}, publisher={International Statistical Institute}, }
On the isoperimetric constant, covariance inequalities and lp-poincaré inequalities in dimension one
Bernoulli, vol. 25, iss. 3, pp. 1794-1815, 2019.
By A. Saumard and J. A. Wellner@article{Saumard20191794, author={Saumard, A. and Wellner, J.A.}, title={On the isoperimetric constant, covariance inequalities and Lp-Poincaré inequalities in dimension one}, journal={Bernoulli}, year={2019}, volume={25}, number={3}, pages={1794-1815}, doi={10.3150/18-BEJ1036}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85069678551&doi=10.3150%2f18-BEJ1036&partnerID=40&md5=19e694bf54385672b657c079ef03abc5}, publisher={International Statistical Institute}, }
2018
On optimality of empirical risk minimization in linear aggregation
Bernoulli, vol. 24, iss. 3, pp. 2176-2203, 2018.
By A. Saumard@article{Saumard20182176, author={Saumard, A.}, title={On optimality of empirical risk minimization in linear aggregation}, journal={Bernoulli}, year={2018}, volume={24}, number={3}, pages={2176-2203}, doi={10.3150/17-BEJ925}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85041920614&doi=10.3150%2f17-BEJ925&partnerID=40&md5=d4f55c18817fa39bf39989f07fd87919}, publisher={International Statistical Institute}, }
Efron's monotonicity property for measures on r2
Journal of multivariate analysis, vol. 166, pp. 212-224, 2018.
By A. Saumard and J. A. Wellner@article{Saumard2018212, author={Saumard, A. and Wellner, J.A.}, title={Efron's monotonicity property for measures on R2}, journal={Journal of Multivariate Analysis}, year={2018}, volume={166}, pages={212-224}, doi={10.1016/j.jmva.2018.03.005}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044606119&doi=10.1016%2fj.jmva.2018.03.005&partnerID=40&md5=5dc0165aad3aa7ea38f4e0bbc15e366d}, publisher={Academic Press Inc.}, }
2017
Slope heuristics and v-fold model selection in heteroscedastic regression using strongly localized bases
Esaim - probability and statistics, vol. 21, pp. 412-451, 2017.
By F. Navarro and A. Saumard@article{Navarro2017412, author={Navarro, F. and Saumard, A.}, title={Slope heuristics and V-Fold model selection in heteroscedastic regression using strongly localized bases}, journal={ESAIM - Probability and Statistics}, year={2017}, volume={21}, pages={412-451}, doi={10.1051/ps/2017005}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85040310805&doi=10.1051%2fps%2f2017005&partnerID=40&md5=2b277d7ac84cb4c3f00519e40c1ff441}, publisher={EDP Sciences}, }
2016
Testing the predictor effect on a functional response
Journal of the american statistical association, vol. 111, iss. 516, pp. 1684-1695, 2016.
By V. Patilea, C. Sánchez-Sellero, and M. Saumard@article{Patilea20161684, author={Patilea, V. and Sánchez-Sellero, C. and Saumard, M.}, title={Testing the Predictor Effect on a Functional Response}, journal={Journal of the American Statistical Association}, year={2016}, volume={111}, number={516}, pages={1684-1695}, doi={10.1080/01621459.2015.1110031}, url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010676976&doi=10.1080%2f01621459.2015.1110031&partnerID=40&md5=166278f9442de5c90d5802f27a52ebe9}, publisher={American Statistical Association}, }