Edit Profile (opens in new tab) Tsybakov, Alexandre B. Co-Author Distance Author ID: tsybakov.alexandre-b Published as: Tsybakov, A. B.; Tsybakov, Alexandre B.; Tsybakov, Alexandre; Tsybakov, A.; Tsybakov, Alexander B.; Tsybakov, Alexander; Tsybakov, A. V. more...less External Links: MGP · Math-Net.Ru Documents Indexed: 153 Publications since 1981, including 4 Books and 8 Additional arXiv Preprints 4 Contributions as Editor · 2 Further Contributions Co-Authors: 86 Co-Authors with 130 Joint Publications 2,719 Co-Co-Authors all top 5 Co-Authors 27 single-authored 12 Härdle, Wolfgang Karl 11 Polyak, Boris Teodorovich 8 Juditsky, Anatoli B. 7 Bunea, Florentina 7 Korostelev, Alexander P. 6 Collier, Olivier 6 Comminges, Laetitia 6 Dalalyan, Arnak S. 6 Goldenshluger, Alexander 6 Rigollet, Philippe 6 Wegkamp, Marten H. 5 Golubev, Yuriĭ K. 5 Klopp, Olga 5 Lepskiĭ, Oleg Vital’evich 5 Nazin, Aleksandr V. 5 Ndaoud, Mohamed 5 Nemirovski, Arkadi S. 4 Bellec, Pierre C. 4 Butucea, Cristina 4 Cavalier, Laurent 4 Ingster, Yuriĭ Izmaĭlovich 4 Kolchinskiĭ, Vladimir I’ich 4 Lounici, Karim 4 Rosenbaum, Mathieu 3 Mammen, Enno 3 Picard, Dominique B. 3 Pontil, Massimiliano 3 Stepanova, Natalia A. 3 Van de Geer, Sara Anna 3 Verzelen, Nicolas 3 Zeevi, Assaf J. 2 Akhavan, Arya 2 Audibert, Jean-Yves 2 Belloni, Alexandre 2 Bickel, Peter John 2 Carpentier, Alexandra 2 Gautier, Eric 2 Ibragimov, Il’dar Abdullovich 2 Kerkyacharian, Gérard 2 Klemelä, Jussi 2 Lecué, Guillaume 2 Marron, James Stephen 2 Munk, Axel 2 Onishchenko, V. F. 2 Pouet, Christophe F. 2 Ritov, Ya’acov 2 Samworth, Richard J. 2 Shah, Rajen Dinesh 2 Sigalla, Suzanne 2 Simar, Léopold 2 Vayatis, Nicolas 2 Wang, Yuhao 1 Ahmed, Ismaïl 1 Amato, Umberto 1 Antoniadis, Anestis 1 Arjas, Elja 1 Aston, John A. D. 1 Barbu, Adrian 1 Bartlett, Peter L. 1 Belomestny, Denis 1 Bevilacqua, Moreno 1 Bigot, Jéremie 1 Borodin, Andreĭ Nikolaevich 1 Brown, Phil 1 Bühlmann, Peter 1 Chen, YiNing 1 Coad, D. Stephen 1 Critchley, Frank 1 Crudu, Federico 1 Davies, Patrick Laurie 1 Doukhan, Paul 1 Draper, David 1 Eckley, Idris A. 1 Enikeeva, Farida N. 1 Ermakov, Mikhaĭl Sergeevich 1 Fang, Zhou 1 Farcomeni, Alessio 1 Fearnhead, Paul 1 Feldmann, D. 1 Fine, Jason Peter 1 Frick, Klaus 1 Frylewicz, Piotr 1 Fuh, Cheng-Der 1 Gandy, Axel 1 Gasbarra, Dario 1 Gayraud, Ghislaine 1 Giraud, Christophe 1 Griffin, Jim E. 1 Guerre, Emmanuel 1 Hafner, Christian Matthias 1 Harchaoui, Zaid 1 Hart, Jeffrey D. 1 Hayes, Kevin 1 Hennig, Christian 1 Hoffmann, Marc 1 Holmes, Christopher C. 1 Hothorn, Torsten 1 Hušková, Marie 1 Jin, Jiashun 1 Ke, Zheng Tracy ...and 66 more Co-Authors all top 5 Serials 34 The Annals of Statistics 19 Problems of Information Transmission 8 Bernoulli 7 Automation and Remote Control 6 Theory of Probability and its Applications 6 Probability Theory and Related Fields 5 Electronic Journal of Statistics 4 Oberwolfach Reports 3 IEEE Transactions on Information Theory 3 Journal of the American Statistical Association 3 Problemy Peredachi Informatsii 3 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Journal of Econometrics 2 Journal of Multivariate Analysis 2 Soviet Mathematics. Doklady 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Mathematical Methods of Statistics 2 Journal of Nonparametric Statistics 2 Lecture Notes in Statistics 1 Scandinavian Journal of Statistics 1 Journal of Computer and System Sciences 1 Journal of Statistical Planning and Inference 1 Publications de l’Institut de Statistique de l’Université de Paris 1 Statistics & Probability Letters 1 Statistics 1 Constructive Approximation 1 Statistical Science 1 Machine Learning 1 Problems of Control and Information Theory 1 Stochastic Processes and their Applications 1 Russian Academy of Sciences. Doklady. Mathematics 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Statistica Sinica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Machine Learning Research (JMLR) 1 Matematicheskaya Statistika i eë Prilozheniya 1 Mathématiques & Applications (Berlin) 1 Springer Series in Statistics 1 Journal de la Société Française de Statistique & Revue de Statistique Appliquée all top 5 Fields 145 Statistics (62-XX) 14 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 10 Computer science (68-XX) 10 Information and communication theory, circuits (94-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 4,777 times in 2,964 Documents Cited by ▼ Year ▼ Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022 Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B. 629 2009 Introduction to nonparametric estimation. Zbl 1176.62032 Tsybakov, Alexandre B. 510 2009 Wavelets, approximation, and statistical applications. Zbl 0899.62002 Härdle, Wolfgang; Kerkyacharian, Gerard; Picard, Dominique; Tsybakov, Alexander 248 1998 Minimax theory of image reconstruction. Zbl 0833.62039 Korostelev, A. P.; Tsybakov, A. B. 191 1993 Stability selection. With discussion and authors’ reply. Zbl 1411.62142 Meinshausen, Nicolai; Bühlmann, Peter 186 2010 Optimal aggregation of classifiers in statistical learning. Zbl 1105.62353 Tsybakov, Alexandre B. 172 2004 Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Zbl 1231.62097 Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B. 168 2011 Sparsity oracle inequalities for the Lasso. Zbl 1146.62028 Bunea, Florentina; Tsybakov, Alexandre; Wegkamp, Marten H. 134 2007 Aggregation for Gaussian regression. Zbl 1209.62065 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 115 2007 Smooth discrimination analysis. Zbl 0961.62058 Mammen, Enno; Tsybakov, Alexandre B. 103 1999 Estimation of high-dimensional low-rank matrices. Zbl 1215.62056 Rohde, Angelika; Tsybakov, Alexandre B. 97 2011 Fast learning rates for plug-in classifiers. Zbl 1118.62041 Audibert, Jean-Yves; Tsybakov, Alexandre B. 95 2007 Oracle inequalities and optimal inference under group sparsity. Zbl 1306.62156 Lounici, Karim; Pontil, Massimiliano; van de Geer, Sara; Tsybakov, Alexandre B. 93 2011 Local polynomial estimators of the volatility function in nonparametric autoregression. Zbl 0904.62047 Härdle, W.; Tsybakov, A. 89 1997 Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065 Frick, Klaus; Munk, Axel; Sieling, Hannes 84 2014 On nonparametric estimation of density level sets. Zbl 0881.62039 Tsybakov, A. B. 83 1997 Introduction to nonparametric estimation. (Introduction à l’estimation non-paramétrique.) Zbl 1029.62034 Tsybakov, Alexandre B. 77 2004 Oracle inequalities for inverse problems. Zbl 1029.62032 Cavalier, L.; Golubev, G. K.; Picard, D.; Tsybakov, A. B. 75 2002 Sharp adaptation for inverse problems with random noise. Zbl 1039.62031 Cavalier, Laurent; Tsybakov, Alexandre 67 2002 Exponential screening and optimal rates of sparse estimation. Zbl 1215.62043 Rigollet, Philippe; Tsybakov, Alexandre 64 2011 Optimal rates of aggregation. Zbl 1208.62073 Tsybakov, Alexandre B. 64 2003 Efficient estimation of monotone boundaries. Zbl 0829.62043 Korostelev, A. P.; Simar, L.; Tsybakov, A. B. 59 1995 Detection boundary in sparse regression. Zbl 1329.62314 Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas 59 2010 Asymptotical minimax recovery of sets with smooth boundaries. Zbl 0834.62038 Mammen, E.; Tsybakov, A. B. 53 1995 Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes. Zbl 0933.62028 Tsybakov, A. B. 49 1998 Linear and convex aggregation of density estimators. Zbl 1231.62057 Rigollet, Ph.; Tsybakov, A. B. 48 2007 Learning by mirror averaging. Zbl 1274.62288 Juditsky, A.; Rigollet, P.; Tsybakov, A. B. 48 2008 Estimation of non-sharp support boundaries. Zbl 0863.62030 Härdle, W.; Park, B. U.; Tsybakov, A. B. 45 1995 Sharp optimality in density deconvolution with dominating bias. I. Zbl 1141.62021 Butucea, C.; Tsybakov, A. B. 43 2008 Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point. Zbl 0971.62022 Lepski, O. V.; Tsybakov, A. B. 41 2000 Slope meets Lasso: improved oracle bounds and optimality. Zbl 1405.62056 Bellec, Pierre C.; Lecué, Guillaume; Tsybakov, Alexandre B. 41 2018 Sharp optimality in density deconvolution with dominating bias. II. Zbl 1142.62017 Butucea, C.; Tsybakov, A. B. 40 2008 Robust nonparametric regression with simultaneous scale curve estimation. Zbl 0668.62025 Härdle, W.; Tsybakov, A. B. 39 1988 Aggregation by exponential weighting and sharp oracle inequalities. Zbl 1203.62063 Dalalyan, Arnak S.; Tsybakov, Alexandre B. 34 2007 Oracle inequalities for network models and sparse graphon estimation. Zbl 1367.62090 Klopp, Olga; Tsybakov, Alexandre B.; Verzelen, Nicolas 34 2017 Nonparametric vector autoregression. Zbl 0937.62042 Härdle, W.; Tsybakov, A.; Yang, L. 33 1998 Sparse regression learning by aggregation and Langevin Monte-Carlo. Zbl 1244.62054 Dalalyan, A. S.; Tsybakov, A. B. 33 2012 Sparse estimation by exponential weighting. Zbl 1331.62351 Rigollet, Philippe; Tsybakov, Alexandre B. 33 2012 Sparse recovery under matrix uncertainty. Zbl 1373.62357 Rosenbaum, Mathieu; Tsybakov, Alexandre B. 32 2010 Minimax estimation of linear and quadratic functionals on sparsity classes. Zbl 1368.62191 Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B. 31 2017 Aggregation and sparsity via \(\ell _{1}\) penalized least squares. Zbl 1143.62319 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 30 2006 Bandwidth choice for average derivative estimation. Zbl 0781.62044 Härdle, W.; Hart, J.; Marron, J. S.; Tsybakov, A. B. 27 1992 How sensitive are average derivatives? Zbl 0772.62021 Härdle, Wolfgang; Tsybakov, A. B. 27 1993 Recursive aggregation of estimators by the mirror descent algorithm with averaging. Zbl 1123.62044 Juditsky, A. B.; Nazin, A. V.; Tsybakov, A. B.; Vayatis, N. 25 2005 Robust reconstruction of functions by the local-approximation method. Zbl 0622.62047 Tsybakov, A. B. 25 1986 On the best rate of adaptive estimation in some inverse problems. Zbl 1163.62316 Tsybakov, Alexandre 24 2000 On estimation of monotone and convex boundaries. Zbl 0817.62023 Korostelev, A. P.; Simar, L.; Tsybakov, A. B. 24 1995 Root-\(n\) consistent estimators of entropy for densities with unbounded support. Zbl 0866.62004 Tsybakov, A. B.; van der Meulen, E. C. 24 1996 Visual error criteria for qualitative smoothing. Zbl 0826.62026 Marron, J. S.; Tsybakov, A. B. 23 1995 Penalized maximum likelihood and semiparametric second-order efficiency. Zbl 1091.62020 Dalalyan, A. S.; Golubev, G. K.; Tsybakov, A. B. 23 2006 Penalized blockwise Stein’s method, monotone oracles and sharp adaptive estimation. Zbl 1005.62027 Cavalier, L.; Tsybakov, A. B. 22 2001 Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity. Zbl 1470.62054 Dalalyan, A.; Tsybakov, A. B. 20 2008 Empirical entropy, minimax regret and minimax risk. Zbl 1380.62176 Rakhlin, Alexander; Sridharan, Karthik; Tsybakov, Alexandre B. 20 2017 Square root penalty: Adaption to the margin in classification and in edge estimation. Zbl 1080.62047 Tsybakov, A. B.; van de Geer, S. A. 19 2005 Optimal change-point estimation from indirect observations. Zbl 1091.62021 Goldenshluger, A.; Tsybakov, A.; Zeevi, A. 19 2006 Nonparametric estimation of composite functions. Zbl 1160.62030 Juditsky, Anatoli B.; Lepski, Oleg V.; Tsybakov, Alexandre B. 19 2009 Robust matrix completion. Zbl 1383.62167 Klopp, Olga; Lounici, Karim; Tsybakov, Alexandre B. 18 2017 Linear and conic programming estimators in high dimensional errors-in-variables models. Zbl 1411.62180 Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B. 18 2017 SPADES and mixture models. Zbl 1198.62025 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.; Barbu, Adrian 18 2010 Sparse density estimation with \(\ell _{1}\) penalties. Zbl 1203.62053 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 17 2007 Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems. Zbl 1130.62313 Cavalier, L.; Golubev, Y.; Lepski, O.; Tsybakov, A. 17 2003 Rate of convergence of nonparametric estimates of maximum-likelihood type. Zbl 0616.62048 Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B. 16 1985 Recursive estimation of the mode of a multivariate distribution. Zbl 0722.62026 Tsybakov, A. B. 16 1990 Improved matrix uncertainty selector. Zbl 1327.62410 Rosenbaum, Mathieu; Tsybakov, Alexandre B. 16 2013 Adaptive prediction and estimation in linear regression with infinitely many parameters. Zbl 1043.62076 Goldenshluger, A.; Tsybakov, A. 16 2001 Classification of sparse high-dimensional vectors. Zbl 1185.62115 Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B. 15 2009 Optimal order of accuracy of search algorithms in stochastic optimization. Zbl 0712.90073 Polyak, B. T.; Tsybakov, A. B. 15 1990 Sharp adaptive estimation of linear functionals. Zbl 1043.62029 Klemelä, Jussi; Tsybakov, Alexandre B. 15 2001 Variable selection with Hamming loss. Zbl 1414.62126 Butucea, Cristina; Ndaoud, Mohamed; Stepanova, Natalia A.; Tsybakov, Alexandre B. 15 2018 Asymptotically efficient estimation of analytic functions in Gaussian noise. Zbl 0860.62034 Golubev, Yuri K.; Levit, Boris Y.; Tsybakov, Alexander B. 14 1996 Mirror averaging with sparsity priors. Zbl 1243.62008 Dalalyan, Arnak S.; Tsybakov, Alexandre B. 14 2012 Estimating the endpoint of a distribution in the presence of additive observation errors. Zbl 1095.62042 Goldenshluger, A.; Tsybakov, A. 13 2004 Bounds on the prediction error of penalized least squares estimators with convex penalty. Zbl 06848045 Bellec, Pierre; Tsybakov, Alexandre 12 2017 Sharp oracle bounds for monotone and convex regression through aggregation. Zbl 1351.62088 Bellec, Pierre C.; Tsybakov, Alexandre B. 12 2015 Aggregation and minimax optimality in high-dimensional estimation. Zbl 1380.62136 Tsybakov, Alexandre B. 11 2014 Nonparametric independent component analysis. Zbl 1055.62037 Samarov, Alexander; Tsybakov, Alexandre 10 2004 Asymptotic optimality of the \(C_ p\)-test for the orthogonal series estimation of regression. Zbl 0721.62042 Polyak, B. T.; Tsybakov, A. B. 10 1990 Statistical inference in compound functional models. Zbl 1285.62041 Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B. 10 2014 Change-point estimation from indirect observations. 1. Minimax complexity. Zbl 1206.62048 Goldenshluger, A.; Juditsky, A.; Tsybakov, A. B.; Zeevi, A. 9 2008 An \(\{\ell_{1},\ell_{2},\ell_{\infty}\}\)-regularization approach to high-dimensional errors-in-variables models. Zbl 1397.62246 Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B. 9 2016 Comment to “Minimax estimation of large covariance matrices under \(\ell_1\)-norm”. Zbl 1295.62057 Rigollet, Philippe; Tsybakov, Alexandre B. 8 2012 Optimal variable selection and adaptive noisy compressed sensing. Zbl 1448.94081 Ndaoud, Mohamed; Tsybakov, Alexandre B. 8 2020 Structured matrix estimation and completion. Zbl 1428.62281 Klopp, Olga; Lu, Yu; Tsybakov, Alexandre B.; Zhou, Harrison H. 8 2019 Optimal adaptive estimation of linear functionals under sparsity. Zbl 1456.62141 Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.; Verzelen, Nicolas 8 2018 On the choice of the bandwidth in kernel nonparametric regression. Zbl 0628.62033 Tsybakov, A. B. 7 1987 Asymptotically minimax image reconstruction problems. Zbl 0801.62041 Korostelev, A. P.; Tsybakov, A. B. 7 1992 Change-point estimation from indirect observations. 2. Adaptation. Zbl 1206.62047 Goldenshluger, A.; Juditsky, A.; Tsybakov, A.; Zeevi, A. 7 2008 Estimation of the density support and its functionals. Zbl 0796.62038 Korostelev, A. P.; Tsybakov, A. B. 7 1993 Optimal prediction for linear regression with infinitely many parameters. Zbl 1038.62058 Goldenshluger, Alexander; Tsybakov, Alexandre 7 2003 Exact asymptotic minimax constants for the estimation of analytical functions in \(L_p\). Zbl 0955.62036 Guerre, Emmanuel; Tsybakov, Alexander B. 6 1998 Asymptotic efficiency in estimation of a convex set. Zbl 0926.94007 Korostelev, A. P.; Tsybakov, A. B. 6 1994 Additive nonparametric regression on principal components. Zbl 0857.62040 Härdle, W.; Tsybakov, A. B. 6 1995 Nonparametric recursive variance estimation. Zbl 0863.62034 Stadtmüller, U.; Tsybakov, A. B. 6 1995 Algorithms of robust stochastic optimization based on mirror descent method. Zbl 1431.93064 Nazin, A. V.; Nemirovsky, A. S.; Tsybakov, Alexandre B.; Juditsky, Anatoliĭ B. 6 2019 Minimax rate of testing in sparse linear regression. Zbl 1456.62083 Carpentier, A.; Collier, O.; Comminges, L.; Tsybakov, A. B.; Wang, Yu. 6 2019 Multidimensional change-point problems and boundary estimation. Zbl 1163.62331 Tsybakov, A. B. 5 1994 Signal processing by the non-parametric maximum-likelihood method. Zbl 0565.62028 Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B. 5 1984 Accuracy estimates of the minimization method of the empirical risk. Zbl 0474.93056 Tsybakov, A. B. 5 1981 Passive stochastic approximation. Zbl 0719.62092 Nazin, A. V.; Polyak, B. T.; Tsybakov, A. B. 5 1989 A family of asymptotically optimal methods for choosing the order of a projective regression estimate. Zbl 0806.62031 Polyak, B. T.; Tsybakov, A. B. 5 1992 Improved clustering algorithms for the bipartite stochastic block model. Zbl 1495.62052 Ndaoud, Mohamed; Sigalla, Suzanne; Tsybakov, Alexandre B. 3 2022 Adaptive robust estimation in sparse vector model. Zbl 1476.62063 Comminges, L.; Collier, O.; Ndaoud, M.; Tsybakov, A. B. 3 2021 Optimal variable selection and adaptive noisy compressed sensing. Zbl 1448.94081 Ndaoud, Mohamed; Tsybakov, Alexandre B. 8 2020 On estimation of nonsmooth functionals of sparse normal means. Zbl 1442.62078 Collier, O.; Comminges, L.; Tsybakov, A. B. 2 2020 Structured matrix estimation and completion. Zbl 1428.62281 Klopp, Olga; Lu, Yu; Tsybakov, Alexandre B.; Zhou, Harrison H. 8 2019 Algorithms of robust stochastic optimization based on mirror descent method. Zbl 1431.93064 Nazin, A. V.; Nemirovsky, A. S.; Tsybakov, Alexandre B.; Juditsky, Anatoliĭ B. 6 2019 Minimax rate of testing in sparse linear regression. Zbl 1456.62083 Carpentier, A.; Collier, O.; Comminges, L.; Tsybakov, A. B.; Wang, Yu. 6 2019 Sparse covariance matrix estimation in high-dimensional deconvolution. Zbl 1466.62332 Belomestny, Denis; Trabs, Mathias; Tsybakov, Alexandre B. 4 2019 Slope meets Lasso: improved oracle bounds and optimality. Zbl 1405.62056 Bellec, Pierre C.; Lecué, Guillaume; Tsybakov, Alexandre B. 41 2018 Variable selection with Hamming loss. Zbl 1414.62126 Butucea, Cristina; Ndaoud, Mohamed; Stepanova, Natalia A.; Tsybakov, Alexandre B. 15 2018 Optimal adaptive estimation of linear functionals under sparsity. Zbl 1456.62141 Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.; Verzelen, Nicolas 8 2018 Oracle inequalities for network models and sparse graphon estimation. Zbl 1367.62090 Klopp, Olga; Tsybakov, Alexandre B.; Verzelen, Nicolas 34 2017 Minimax estimation of linear and quadratic functionals on sparsity classes. Zbl 1368.62191 Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B. 31 2017 Empirical entropy, minimax regret and minimax risk. Zbl 1380.62176 Rakhlin, Alexander; Sridharan, Karthik; Tsybakov, Alexandre B. 20 2017 Robust matrix completion. Zbl 1383.62167 Klopp, Olga; Lounici, Karim; Tsybakov, Alexandre B. 18 2017 Linear and conic programming estimators in high dimensional errors-in-variables models. Zbl 1411.62180 Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B. 18 2017 Bounds on the prediction error of penalized least squares estimators with convex penalty. Zbl 06848045 Bellec, Pierre; Tsybakov, Alexandre 12 2017 Towards the study of least squares estimators with convex penalty. (Étude de l’estimateur des moindres carrés à pénalité convexe.) Zbl 1409.62133 Bellec, Pierre; Lecué, Guillaume; Tsybakov, Alexandre 2 2017 An \(\{\ell_{1},\ell_{2},\ell_{\infty}\}\)-regularization approach to high-dimensional errors-in-variables models. Zbl 1397.62246 Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B. 9 2016 Estimation of low-rank covariance function. Zbl 1387.60066 Koltchinskii, V.; Lounici, K.; Tsybakov, A. B. 1 2016 Sharp oracle bounds for monotone and convex regression through aggregation. Zbl 1351.62088 Bellec, Pierre C.; Tsybakov, Alexandre B. 12 2015 Estimation of matrices with row sparsity. Zbl 1388.62161 Klopp, Olga; Tsybakov, Alexandre B. 3 2015 Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065 Frick, Klaus; Munk, Axel; Sieling, Hannes 84 2014 Aggregation and minimax optimality in high-dimensional estimation. Zbl 1380.62136 Tsybakov, Alexandre B. 11 2014 Statistical inference in compound functional models. Zbl 1285.62041 Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B. 10 2014 Optimal exponential bounds on the accuracy of classification. Zbl 1304.62056 Kerkyacharian, G.; Tsybakov, A. B.; Temlyakov, V.; Picard, D.; Koltchinskii, V. 1 2014 Improved matrix uncertainty selector. Zbl 1327.62410 Rosenbaum, Mathieu; Tsybakov, Alexandre B. 16 2013 Pivotal estimation in high-dimensional regression via linear programming. Zbl 1325.62088 Gautier, Eric; Tsybakov, Alexandre B. 5 2013 Sparse regression learning by aggregation and Langevin Monte-Carlo. Zbl 1244.62054 Dalalyan, A. S.; Tsybakov, A. B. 33 2012 Sparse estimation by exponential weighting. Zbl 1331.62351 Rigollet, Philippe; Tsybakov, Alexandre B. 33 2012 Mirror averaging with sparsity priors. Zbl 1243.62008 Dalalyan, Arnak S.; Tsybakov, Alexandre B. 14 2012 Comment to “Minimax estimation of large covariance matrices under \(\ell_1\)-norm”. Zbl 1295.62057 Rigollet, Philippe; Tsybakov, Alexandre B. 8 2012 Discussion: Latent variable graphical model selection via convex optimization. Zbl 1288.62087 Giraud, Christophe; Tsybakov, Alexandre 3 2012 Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Zbl 1231.62097 Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B. 168 2011 Estimation of high-dimensional low-rank matrices. Zbl 1215.62056 Rohde, Angelika; Tsybakov, Alexandre B. 97 2011 Oracle inequalities and optimal inference under group sparsity. Zbl 1306.62156 Lounici, Karim; Pontil, Massimiliano; van de Geer, Sara; Tsybakov, Alexandre B. 93 2011 Exponential screening and optimal rates of sparse estimation. Zbl 1215.62043 Rigollet, Philippe; Tsybakov, Alexandre 64 2011 Stability selection. With discussion and authors’ reply. Zbl 1411.62142 Meinshausen, Nicolai; Bühlmann, Peter 186 2010 Detection boundary in sparse regression. Zbl 1329.62314 Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas 59 2010 Sparse recovery under matrix uncertainty. Zbl 1373.62357 Rosenbaum, Mathieu; Tsybakov, Alexandre B. 32 2010 SPADES and mixture models. Zbl 1198.62025 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.; Barbu, Adrian 18 2010 Noisy independent factor analysis model for density estimation and classification. Zbl 1329.62273 Amato, Umberto; Antoniadis, Anestis; Samarov, Alexander; Tsybakov, Alexandre B. 3 2010 Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022 Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B. 629 2009 Introduction to nonparametric estimation. Zbl 1176.62032 Tsybakov, Alexandre B. 510 2009 Nonparametric estimation of composite functions. Zbl 1160.62030 Juditsky, Anatoli B.; Lepski, Oleg V.; Tsybakov, Alexandre B. 19 2009 Classification of sparse high-dimensional vectors. Zbl 1185.62115 Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B. 15 2009 Sparse recovery problems in high dimensions: statistical inference and learning theory. Abstracts from the mini-workshop held March 15th – March 21st, 2009. Zbl 1177.62001 2 2009 Learning by mirror averaging. Zbl 1274.62288 Juditsky, A.; Rigollet, P.; Tsybakov, A. B. 48 2008 Sharp optimality in density deconvolution with dominating bias. I. Zbl 1141.62021 Butucea, C.; Tsybakov, A. B. 43 2008 Sharp optimality in density deconvolution with dominating bias. II. Zbl 1142.62017 Butucea, C.; Tsybakov, A. B. 40 2008 Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity. Zbl 1470.62054 Dalalyan, A.; Tsybakov, A. B. 20 2008 Change-point estimation from indirect observations. 1. Minimax complexity. Zbl 1206.62048 Goldenshluger, A.; Juditsky, A.; Tsybakov, A. B.; Zeevi, A. 9 2008 Change-point estimation from indirect observations. 2. Adaptation. Zbl 1206.62047 Goldenshluger, A.; Juditsky, A.; Tsybakov, A.; Zeevi, A. 7 2008 Aggregation of estimators and stochastic optimization. (Agrégation d’estimateurs et optimisation stochastique.) Zbl 1455.62080 Tsybakov, Alexandre B. 1 2008 Sparsity oracle inequalities for the Lasso. Zbl 1146.62028 Bunea, Florentina; Tsybakov, Alexandre; Wegkamp, Marten H. 134 2007 Aggregation for Gaussian regression. Zbl 1209.62065 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 115 2007 Fast learning rates for plug-in classifiers. Zbl 1118.62041 Audibert, Jean-Yves; Tsybakov, Alexandre B. 95 2007 Linear and convex aggregation of density estimators. Zbl 1231.62057 Rigollet, Ph.; Tsybakov, A. B. 48 2007 Aggregation by exponential weighting and sharp oracle inequalities. Zbl 1203.62063 Dalalyan, Arnak S.; Tsybakov, Alexandre B. 34 2007 Sparse density estimation with \(\ell _{1}\) penalties. Zbl 1203.62053 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 17 2007 Aggregation and sparsity via \(\ell _{1}\) penalized least squares. Zbl 1143.62319 Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H. 30 2006 Penalized maximum likelihood and semiparametric second-order efficiency. Zbl 1091.62020 Dalalyan, A. S.; Golubev, G. K.; Tsybakov, A. B. 23 2006 Optimal change-point estimation from indirect observations. Zbl 1091.62021 Goldenshluger, A.; Tsybakov, A.; Zeevi, A. 19 2006 Recursive aggregation of estimators by the mirror descent algorithm with averaging. Zbl 1123.62044 Juditsky, A. B.; Nazin, A. V.; Tsybakov, A. B.; Vayatis, N. 25 2005 Square root penalty: Adaption to the margin in classification and in edge estimation. Zbl 1080.62047 Tsybakov, A. B.; van de Geer, S. A. 19 2005 Optimal aggregation of classifiers in statistical learning. Zbl 1105.62353 Tsybakov, Alexandre B. 172 2004 Introduction to nonparametric estimation. (Introduction à l’estimation non-paramétrique.) Zbl 1029.62034 Tsybakov, Alexandre B. 77 2004 Estimating the endpoint of a distribution in the presence of additive observation errors. Zbl 1095.62042 Goldenshluger, A.; Tsybakov, A. 13 2004 Nonparametric independent component analysis. Zbl 1055.62037 Samarov, Alexander; Tsybakov, Alexandre 10 2004 Exact constants for pointwise adaptive estimation under the Riesz transform. Zbl 1047.62028 Klemelä, Jussi; Tsybakov, Alexandre B. 3 2004 Optimal rates of aggregation. Zbl 1208.62073 Tsybakov, Alexandre B. 64 2003 Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems. Zbl 1130.62313 Cavalier, L.; Golubev, Y.; Lepski, O.; Tsybakov, A. 17 2003 Optimal prediction for linear regression with infinitely many parameters. Zbl 1038.62058 Goldenshluger, Alexander; Tsybakov, Alexandre 7 2003 Testing linearity in an AR errors-in-variables model with application to stochastic volatility. Zbl 1051.62108 Feldmann, D.; Härdle, W.; Hafner, C.; Hoffmann, M.; Lepski, O.; Tsybakov, A. 1 2003 Oracle inequalities for inverse problems. Zbl 1029.62032 Cavalier, L.; Golubev, G. K.; Picard, D.; Tsybakov, A. B. 75 2002 Sharp adaptation for inverse problems with random noise. Zbl 1039.62031 Cavalier, Laurent; Tsybakov, Alexandre 67 2002 Testing hypotheses about contours in images. Zbl 1014.62055 Gayraud, G.; Tsybakov, A. B. 1 2002 Penalized blockwise Stein’s method, monotone oracles and sharp adaptive estimation. Zbl 1005.62027 Cavalier, L.; Tsybakov, A. B. 22 2001 Adaptive prediction and estimation in linear regression with infinitely many parameters. Zbl 1043.62076 Goldenshluger, A.; Tsybakov, A. 16 2001 Sharp adaptive estimation of linear functionals. Zbl 1043.62029 Klemelä, Jussi; Tsybakov, Alexandre B. 15 2001 Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point. Zbl 0971.62022 Lepski, O. V.; Tsybakov, A. B. 41 2000 On the best rate of adaptive estimation in some inverse problems. Zbl 1163.62316 Tsybakov, Alexandre 24 2000 Smooth discrimination analysis. Zbl 0961.62058 Mammen, Enno; Tsybakov, Alexandre B. 103 1999 Wavelets, approximation, and statistical applications. Zbl 0899.62002 Härdle, Wolfgang; Kerkyacharian, Gerard; Picard, Dominique; Tsybakov, Alexander 248 1998 Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes. Zbl 0933.62028 Tsybakov, A. B. 49 1998 Nonparametric vector autoregression. Zbl 0937.62042 Härdle, W.; Tsybakov, A.; Yang, L. 33 1998 Exact asymptotic minimax constants for the estimation of analytical functions in \(L_p\). Zbl 0955.62036 Guerre, Emmanuel; Tsybakov, Alexander B. 6 1998 Local polynomial estimators of the volatility function in nonparametric autoregression. Zbl 0904.62047 Härdle, W.; Tsybakov, A. 89 1997 On nonparametric estimation of density level sets. Zbl 0881.62039 Tsybakov, A. B. 83 1997 Asymptotically efficient signal estimation in \(L_2\) under general loss functions. Zbl 0898.62108 Tsybakov, A. V. 4 1997 Root-\(n\) consistent estimators of entropy for densities with unbounded support. Zbl 0866.62004 Tsybakov, A. B.; van der Meulen, E. C. 24 1996 Asymptotically efficient estimation of analytic functions in Gaussian noise. Zbl 0860.62034 Golubev, Yuri K.; Levit, Boris Y.; Tsybakov, Alexander B. 14 1996 Efficient estimation of monotone boundaries. Zbl 0829.62043 Korostelev, A. P.; Simar, L.; Tsybakov, A. B. 59 1995 Asymptotical minimax recovery of sets with smooth boundaries. Zbl 0834.62038 Mammen, E.; Tsybakov, A. B. 53 1995 Estimation of non-sharp support boundaries. Zbl 0863.62030 Härdle, W.; Park, B. U.; Tsybakov, A. B. 45 1995 On estimation of monotone and convex boundaries. Zbl 0817.62023 Korostelev, A. P.; Simar, L.; Tsybakov, A. B. 24 1995 Visual error criteria for qualitative smoothing. Zbl 0826.62026 Marron, J. S.; Tsybakov, A. B. 23 1995 Additive nonparametric regression on principal components. Zbl 0857.62040 Härdle, W.; Tsybakov, A. B. 6 1995 Nonparametric recursive variance estimation. Zbl 0863.62034 Stadtmüller, U.; Tsybakov, A. B. 6 1995 Asymptotic efficiency in estimation of a convex set. Zbl 0926.94007 Korostelev, A. P.; Tsybakov, A. B. 6 1994 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,478 Authors 58 Tsybakov, Alexandre B. 38 Cai, Tony Tony 32 Fan, Jianqing 32 Van de Geer, Sara Anna 30 Comte, Fabienne 29 Chesneau, Christophe 26 Lian, Heng 24 Dalalyan, Arnak S. 24 Juditsky, Anatoli B. 23 Bühlmann, Peter 23 Lecué, Guillaume 22 Hall, Peter Gavin 22 Kolchinskiĭ, Vladimir I’ich 22 Rigollet, Philippe 21 Alquier, Pierre 21 Butucea, Cristina 21 Goldenshluger, Alexander 20 Belomestny, Denis 19 Girard, Stéphane 19 Pensky, Marianna 18 Munk, Axel 18 Samworth, Richard J. 17 Picard, Dominique B. 16 Cuevas, Antonio 16 Marteau, Clément 16 Mendelson, Shahar 16 Nickl, Richard 16 Spokoiny, Vladimir G. 15 Lepskiĭ, Oleg Vital’evich 15 Liu, Youming 15 Reiß, Markus 14 Bertin, Karine 14 Hoffmann, Marc 14 Klopp, Olga 14 Koo, Ja-Yong 14 Nemirovski, Arkadi S. 14 Simar, Léopold 14 Van der Vaart, Adrianus Willem 14 Wegkamp, Marten H. 14 Yuan, Ming 14 Zhang, Cun-Hui 13 Fraiman, Ricardo 13 Mammen, Enno 13 Verzelen, Nicolas 13 Wainwright, Martin J. 12 Arias-Castro, Ery 12 Benhaddou, Rida 12 Genon-Catalot, Valentine 12 Li, Linyuan 12 Lounici, Karim 12 Wasserman, Larry Alan 12 Zhou, Harrison H. 11 Balakrishnan, Sivaraman 11 Bradic, Jelena 11 Carpentier, Alexandra 11 Donoho, David Leigh 11 Efromovich, Sam 11 Gao, Chao 11 Golubev, Yuriĭ K. 11 Härdle, Wolfgang Karl 11 Huang, Jian 11 Linton, Oliver Bruce 11 Rivoirard, Vincent 11 Schmidt-Hieber, Johannes 11 Zeng, Xiaochen 11 Zhang, Tong 10 Bissantz, Nicolai 10 Chernozhukov, Victor 10 Dette, Holger 10 Fadili, Jalal M. 10 Gadat, Sébastien 10 Gaïffas, Stéphane 10 Ingster, Yuriĭ Izmaĭlovich 10 Kerkyacharian, Gérard 10 Lacour, Claire 10 Liu, Han 10 Loubes, Jean-Michel 10 Rinaldo, Alessandro 10 Steinwart, Ingo 10 Wang, Jinru 10 Zheng, Zemin 9 Belitser, Eduard 9 Bellec, Pierre C. 9 Bouzebda, Salim 9 Bunea, Florentina 9 Collier, Olivier 9 Klemelä, Jussi 9 Klutchnikoff, Nicolas 9 Li, Runze 9 Low, Mark G. 9 Massart, Pascal 9 Meister, Alexander 9 Nazin, Aleksandr V. 9 Neumeyer, Natalie 9 Rodríguez-Casal, Alberto 9 She, Yiyuan 9 Song, Rui 9 Vilar Fernandez, Juan Manuel 8 Brunel, Victor-Emmanuel 8 Candès, Emmanuel J. ...and 3,378 more Authors all top 5 Cited in 312 Serials 447 The Annals of Statistics 254 Electronic Journal of Statistics 149 Bernoulli 124 Journal of Multivariate Analysis 98 Journal of Econometrics 96 Journal of Statistical Planning and Inference 82 Journal of the American Statistical Association 76 Journal of Machine Learning Research (JMLR) 75 Statistics & Probability Letters 75 Journal of Nonparametric Statistics 52 Computational Statistics and Data Analysis 49 Communications in Statistics. 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