Publications

Preprints (2)

• R. Coulaud, E. Genetay, M. Marbac, A. S., Entropy-based method for High-dimensional clustering.

• A. S. A concentration inequality for the excess risk in least-squares regression with random design and heteroscedastic noise, arXiv:1702.05063, v2 [web]

Published/accepted articles (19)

• M. Bonnefont, E. Hillion, A. S. (2024) Covariance inequalities for convex and log-concave functions, accepted in ALEA arXiv:2302.05208

• C. Butucea, A. Dubois, A. S. (2023) Sharp phase transitions for exact support recovery under local differential privacy, to appear in Math. Stat. Learn.  arXiv:2011.14881.

• C. Brécheteau, E. Genetay, T. Mathieu, A. S. (2023) Topics in robust statistical learning. ESAIM: Proceedings and Surveys, in Volume 74. hal-03605702v2 

• M. Fathi, L. Goldstein, G. Reinert, A. S. (2022) Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension, Annals of Statistics, 50(5), 2737-2766, arXiv:2004.01378, [web].

• C. Brunet-Saumard, E. Genetay, A. S. (2022) K-bMOM: a robust Lloyd-type clustering algorithm based on bootstrap Median-of-Means, Comp. Statist. Data Anal. (167), arXiv:2002.03899, [web].

• A. S., F. Navarro. (2021) Finite sample improvement of Akaike's Information Criterion, IEEE trans. Inform. Theory, 67(10):6323--6343,  arXiv:1803.02078v1,  This work is based on the following (unpublished) paper:  A. S. Nonasymptotic quasi-optimality of AIC and the slope heuristics in maximum likelihood estimation of density using histogram models. HAL : hal-00512310v1 [pdf] 

• C. Butucea, A. Dubois, M. Kroll, A. S.  (2020) Local differential privacy: Elbow effect in optimal density estimation and adaptation over Besov ellipsoids, Bernoulli, 26(3):1727-1764 [arXiv]

• A. S. (2019) Discussion to "Minimal penalties and the slope heuristics: a survey" by Syvain Arlot, 160(3), Journal de la SFdS. [web]

• A. S. (2019) Bi-log-concavity: some properties and some remarks towards a multi-dimensional extension, Electron. Commun. Probab., 24(61):1-8 [arXiv]

• A. S. (2019) Weighted Poincaré inequalities, concentration inequalities and tail bounds related to the behavior of the Stein kernel in dimension one, Bernoulli, 25(4B): 3978-4006 , arXiv:1804.03926

• E. Hillion, O. Johnson, A. S. (2019) An extremal property of the normal distribution, with a discrete analog, Statist. Probab. lett., 145:181-186 [web] [arXiv:1806.05577]

• A. S., J. A. Wellner. (2019) On the Isoperimetric constant, covariance inequalities and Lp-Poincaré inequalities in dimension one, Bernoulli, 25(3):1794--1815 arXiv:1711.00668v3

• A. S., J. A. Wellner. (2018) Efron's monotonicity property for measures on R^2, J. Mult. Anal. [web] arXiv:1707.04472v2

• F. Navarro, A.S. (2018) Efficiency of the V -fold model selection for localized bases, proceedings of the 3rd ISNPS [Hal]

• A. S. (2018) On optimality of empirical risk minimization in linear aggregation, Bernoulli, 24(3):2176--2203 [web]

• F. Navarro, A. S. (2017) Slope heuristics and V-Fold model selection in heteroscedastic regression using strongly localized bases , ESAIM P&S, 21:412--451 [web] [code, GitHub]

• A. S. et J. A. Wellner. (2014) Log-concavity and strong log-concavity: a review, Statistics Surveys, 8:45–--113. [web] [pdf]

• A. S. (2013) Optimal model selection in heteroscedastic regression using piecewise polynomial functions, Electron. J. Statist., 7:1184–--1223. [web] [pdf]

• A. S. (2012) Optimal upper and lower bounds for the true and empirical excess risks in heteroscedastic least-squares regression, Electron. J. Statist., 6(1-2):579--–655. [web] [pdf]

Thesis (1)

• Estimation par Minimum de Contraste Régulier et Heuristique de Pente en Sélection de Modèle, PhD Thesis, Oct. 2010. [TeL]

Lecture notes (2)

• (in French) Estimation non-paramétrique, notes d'un cours de 24h de M2R, 98p., 2016.

• Excess risks bounds optimal to the first order and the slope heuristics in model selection, 25p., Empirical Process Working Group, Winter Quarter 2013.