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Tsybakov, Alexandre B.

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Author ID: tsybakov.alexandre-b Recent zbMATH articles by "Tsybakov, Alexandre B."
Published as: Tsybakov, A. B.; Tsybakov, Alexandre B.; Tsybakov, Alexandre; Tsybakov, A.; Tsybakov, Alexander B.; Tsybakov, Alexander; Tsybakov, A. V.
External Links: MGP · Math-Net.Ru
Documents Indexed: 144 Publications since 1981, including 4 Books
all top 5

Co-Authors

27 single-authored
12 Härdle, Wolfgang Karl
11 Polyak, Boris Teodorovich
7 Korostelev, Alexander P.
6 Dalalyan, Arnak S.
6 Goldenshluger, Alexander
5 Bunea, Florentina
5 Collier, Olivier
5 Comminges, Laetitia
5 Golubev, Yuriĭ K.
5 Lepskiĭ, Oleg Vital’evich
5 Nazin, Aleksandr V.
5 Nemirovski, Arkadi S.
5 Rigollet, Philippe
5 Wegkamp, Marten H.
4 Bellec, Pierre C.
4 Cavalier, Laurent
4 Klopp, Olga
4 Kolchinskiĭ, Vladimir I’ich
4 Lounici, Karim
4 Rosenbaum, Mathieu
3 Butucea, Cristina
3 Ingster, Yuriĭ Izmaĭlovich
3 Ndaoud, Mohamed
3 Picard, Dominique B.
3 Stepanova, Natalia A.
3 Van de Geer, Sara Anna
3 Verzelen, Nicolas
3 Zeevi, Assaf J.
2 Belloni, Alexandre
2 Ibragimov, Il’dar Abdullovich
2 Juditsky, Anatoli B.
2 Kerkyacharian, Gérard
2 Klemelä, Jussi
2 Lecué, Guillaume
2 Mammen, Enno
2 Marron, James Stephen
2 Onishchenko, V. F.
2 Simar, Léopold
2 Vayatis, Nicolas
1 Amato, Umberto
1 Antoniadis, Anestis
1 Audibert, Jean-Yves
1 Barbu, Adrian
1 Bartlett, Peter L.
1 Belomestny, Denis
1 Bickel, Peter John
1 Borodin, Andreĭ Nikolaevich
1 Doukhan, Paul
1 Ermakov, Mikhaĭl Sergeevich
1 Feldmann, D.
1 Gautier, Eric
1 Gayraud, Ghislaine
1 Giraud, Christophe
1 Guerre, Emmanuel
1 Hafner, Christian Matthias
1 Juditsky, Anatoliĭ B.
1 Kutoyants, Yury A.
1 Levit, Boris Y.
1 Lifshits, Mikhail A.
1 Low, Mark G.
1 Lu, Yu
1 Munk, Axel
1 Nikitin, Yakov Yu.
1 Park, Byeong Uk
1 Pontil, Massimiliano
1 Pouet, Christophe F.
1 Rakhlin, Alexander
1 Ritov, Ya’acov
1 Rohde, Angelika
1 Spokoiny, Vladimir G.
1 Sridharan, Karthik
1 Stadtmüller, Ulrich
1 Temlyakov, Vladimir Nikolaevich
1 Trabs, Mathias
1 Tsybakov, Boris S.
1 van der Meulen, Edward C.
1 Yang, Lijian
1 Zaitsev, Andrei Yu.
1 Zhou, Harrison H.
all top 5

Serials

32 The Annals of Statistics
19 Problems of Information Transmission
7 Automation and Remote Control
7 Bernoulli
6 Theory of Probability and its Applications
6 Probability Theory and Related Fields
5 Electronic Journal of Statistics
3 Journal of the American Statistical Association
3 Problemy Peredachi Informatsii
3 Oberwolfach Reports
2 IEEE Transactions on Information Theory
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 Journal of the Royal Statistical Society. Series B. Statistical Methodology
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

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 3,725 times in 2,271 Documents Cited by Year
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B.
458
2009
Introduction to nonparametric estimation. Zbl 1176.62032
Tsybakov, Alexandre B.
331
2009
Wavelets, approximation, and statistical applications. Zbl 0899.62002
Härdle, Wolfgang; Kerkyacharian, Gerard; Picard, Dominique; Tsybakov, Alexander
192
1998
Minimax theory of image reconstruction. Zbl 0833.62039
Korostelev, A. P.; Tsybakov, A. B.
165
1993
Optimal aggregation of classifiers in statistical learning. Zbl 1105.62353
Tsybakov, Alexandre B.
138
2004
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Zbl 1231.62097
Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B.
121
2011
Sparsity oracle inequalities for the Lasso. Zbl 1146.62028
Bunea, Florentina; Tsybakov, Alexandre; Wegkamp, Marten H.
117
2007
Aggregation for Gaussian regression. Zbl 1209.62065
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
97
2007
Smooth discrimination analysis. Zbl 0961.62058
Mammen, Enno; Tsybakov, Alexandre B.
83
1999
Local polynomial estimators of the volatility function in nonparametric autoregression. Zbl 0904.62047
Härdle, W.; Tsybakov, A.
80
1997
Estimation of high-dimensional low-rank matrices. Zbl 1215.62056
Rohde, Angelika; Tsybakov, Alexandre B.
75
2011
Oracle inequalities for inverse problems. Zbl 1029.62032
Cavalier, L.; Golubev, G. K.; Picard, D.; Tsybakov, A. B.
71
2002
On nonparametric estimation of density level sets. Zbl 0881.62039
Tsybakov, A. B.
68
1997
Oracle inequalities and optimal inference under group sparsity. Zbl 1306.62156
Lounici, Karim; Pontil, Massimiliano; van de Geer, Sara; Tsybakov, Alexandre B.
66
2011
Fast learning rates for plug-in classifiers. Zbl 1118.62041
Audibert, Jean-Yves; Tsybakov, Alexandre B.
66
2007
Sharp adaptation for inverse problems with random noise. Zbl 1039.62031
Cavalier, Laurent; Tsybakov, Alexandre
63
2002
Exponential screening and optimal rates of sparse estimation. Zbl 1215.62043
Rigollet, Philippe; Tsybakov, Alexandre
59
2011
Efficient estimation of monotone boundaries. Zbl 0829.62043
Korostelev, A. P.; Simar, L.; Tsybakov, A. B.
56
1995
Optimal rates of aggregation. Zbl 1208.62073
Tsybakov, Alexandre B.
54
2003
Introduction to nonparametric estimation. (Introduction à l’estimation non-paramétrique.) Zbl 1029.62034
Tsybakov, Alexandre B.
54
2004
Asymptotical minimax recovery of sets with smooth boundaries. Zbl 0834.62038
Mammen, E.; Tsybakov, A. B.
47
1995
Estimation of non-sharp support boundaries. Zbl 0863.62030
Härdle, W.; Park, B. U.; Tsybakov, A. B.
44
1995
Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes. Zbl 0933.62028
Tsybakov, A. B.
44
1998
Learning by mirror averaging. Zbl 1274.62288
Juditsky, A.; Rigollet, P.; Tsybakov, A. B.
42
2008
Detection boundary in sparse regression. Zbl 1329.62314
Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas
42
2010
Linear and convex aggregation of density estimators. Zbl 1231.62057
Rigollet, Ph.; Tsybakov, A. B.
42
2007
Sharp optimality in density deconvolution with dominating bias. I. Zbl 1141.62021
Butucea, C.; Tsybakov, A. B.
38
2008
Sharp optimality in density deconvolution with dominating bias. II. Zbl 1142.62017
Butucea, C.; Tsybakov, A. B.
38
2008
Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point. Zbl 0971.62022
Lepski, O. V.; Tsybakov, A. B.
36
2000
Robust nonparametric regression with simultaneous scale curve estimation. Zbl 0668.62025
Härdle, W.; Tsybakov, A. B.
36
1988
Aggregation by exponential weighting and sharp oracle inequalities. Zbl 1203.62063
Dalalyan, Arnak S.; Tsybakov, Alexandre B.
33
2007
Sparse estimation by exponential weighting. Zbl 1331.62351
Rigollet, Philippe; Tsybakov, Alexandre B.
29
2012
Aggregation and sparsity via \(\ell _{1}\) penalized least squares. Zbl 1143.62319
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
29
2006
Nonparametric vector autoregression. Zbl 0937.62042
Härdle, W.; Tsybakov, A.; Yang, L.
29
1998
Bandwidth choice for average derivative estimation. Zbl 0781.62044
Härdle, W.; Hart, J.; Marron, J. S.; Tsybakov, A. B.
27
1992
Sparse regression learning by aggregation and Langevin Monte-Carlo. Zbl 1244.62054
Dalalyan, A. S.; Tsybakov, A. B.
27
2012
How sensitive are average derivatives? Zbl 0772.62021
Härdle, Wolfgang; Tsybakov, A. B.
24
1993
Robust reconstruction of functions by the local-approximation method. Zbl 0622.62047
Tsybakov, A. B.
24
1986
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.
22
2005
Penalized maximum likelihood and semiparametric second-order efficiency. Zbl 1091.62020
Dalalyan, A. S.; Golubev, G. K.; Tsybakov, A. B.
22
2006
Oracle inequalities for network models and sparse graphon estimation. Zbl 1367.62090
Klopp, Olga; Tsybakov, Alexandre B.; Verzelen, Nicolas
22
2017
On estimation of monotone and convex boundaries. Zbl 0817.62023
Korostelev, A. P.; Simar, L.; Tsybakov, A. B.
21
1995
Penalized blockwise Stein’s method, monotone oracles and sharp adaptive estimation. Zbl 1005.62027
Cavalier, L.; Tsybakov, A. B.
21
2001
Minimax estimation of linear and quadratic functionals on sparsity classes. Zbl 1368.62191
Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.
21
2017
Sparse recovery under matrix uncertainty. Zbl 1373.62357
Rosenbaum, Mathieu; Tsybakov, Alexandre B.
20
2010
Visual error criteria for qualitative smoothing. Zbl 0826.62026
Marron, J. S.; Tsybakov, A. B.
20
1995
Root-\(n\) consistent estimators of entropy for densities with unbounded support. Zbl 0866.62004
Tsybakov, A. B.; van der Meulen, E. C.
20
1996
Optimal change-point estimation from indirect observations. Zbl 1091.62021
Goldenshluger, A.; Tsybakov, A.; Zeevi, A.
19
2006
Square root penalty: Adaption to the margin in classification and in edge estimation. Zbl 1080.62047
Tsybakov, A. B.; van de Geer, S. A.
18
2005
Nonparametric estimation of composite functions. Zbl 1160.62030
Juditsky, Anatoli B.; Lepski, Oleg V.; Tsybakov, Alexandre B.
17
2009
On the best rate of adaptive estimation in some inverse problems. Zbl 1163.62316
Tsybakov, Alexandre
17
2000
Slope meets Lasso: improved oracle bounds and optimality. Zbl 1405.62056
Bellec, Pierre C.; Lecué, Guillaume; Tsybakov, Alexandre B.
16
2018
SPADES and mixture models. Zbl 1198.62025
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.; Barbu, Adrian
15
2010
Sharp adaptive estimation of linear functionals. Zbl 1043.62029
Klemelä, Jussi; Tsybakov, Alexandre B.
15
2001
Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems. Zbl 1130.62313
Cavalier, L.; Golubev, Y.; Lepski, O.; Tsybakov, A.
14
2003
Asymptotically efficient estimation of analytic functions in Gaussian noise. Zbl 0860.62034
Golubev, Yuri K.; Levit, Boris Y.; Tsybakov, Alexander B.
14
1996
Adaptive prediction and estimation in linear regression with infinitely many parameters. Zbl 1043.62076
Goldenshluger, A.; Tsybakov, A.
14
2001
Sparse density estimation with \(\ell _{1}\) penalties. Zbl 1203.62053
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
14
2007
Mirror averaging with sparsity priors. Zbl 1243.62008
Dalalyan, Arnak S.; Tsybakov, Alexandre B.
14
2012
Rate of convergence of nonparametric estimates of maximum-likelihood type. Zbl 0616.62048
Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B.
13
1985
Robust matrix completion. Zbl 1383.62167
Klopp, Olga; Lounici, Karim; Tsybakov, Alexandre B.
11
2017
Sharp oracle bounds for monotone and convex regression through aggregation. Zbl 1351.62088
Bellec, Pierre C.; Tsybakov, Alexandre B.
10
2015
Classification of sparse high-dimensional vectors. Zbl 1185.62115
Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B.
10
2009
Statistical inference in compound functional models. Zbl 1285.62041
Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B.
10
2014
Nonparametric independent component analysis. Zbl 1055.62037
Samarov, Alexander; Tsybakov, Alexandre
9
2004
Estimating the endpoint of a distribution in the presence of additive observation errors. Zbl 1095.62042
Goldenshluger, A.; Tsybakov, A.
9
2004
Optimal order of accuracy of search algorithms in stochastic optimization. Zbl 0712.90073
Polyak, B. T.; Tsybakov, A. B.
9
1990
Recursive estimation of the mode of a multivariate distribution. Zbl 0722.62026
Tsybakov, A. B.
9
1990
Empirical entropy, minimax regret and minimax risk. Zbl 1380.62176
Rakhlin, Alexander; Sridharan, Karthik; Tsybakov, Alexandre B.
9
2017
Comment to “Minimax estimation of large covariance matrices under \(\ell_1\)-norm”. Zbl 1295.62057
Rigollet, Philippe; Tsybakov, Alexandre B.
8
2012
Asymptotic optimality of the \(C_ p\)-test for the orthogonal series estimation of regression. Zbl 0721.62042
Polyak, B. T.; Tsybakov, A. B.
8
1990
Aggregation and minimax optimality in high-dimensional estimation. Zbl 1380.62136
Tsybakov, Alexandre B.
8
2014
Improved matrix uncertainty selector. Zbl 1327.62410
Rosenbaum, Mathieu; Tsybakov, Alexandre B.
8
2013
Linear and conic programming estimators in high dimensional errors-in-variables models. Zbl 1411.62180
Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B.
7
2017
Change-point estimation from indirect observations. 1. Minimax complexity. Zbl 1206.62048
Goldenshluger, A.; Juditsky, A.; Tsybakov, A. B.; 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
On the choice of the bandwidth in kernel nonparametric regression. Zbl 0628.62033
Tsybakov, A. B.
7
1987
Change-point estimation from indirect observations. 2. Adaptation. Zbl 1206.62047
Goldenshluger, A.; Juditsky, A.; Tsybakov, A.; Zeevi, A.
6
2008
Exact asymptotic minimax constants for the estimation of analytical functions in \(L_p\). Zbl 0955.62036
Guerre, Emmanuel; Tsybakov, Alexander B.
6
1998
Additive nonparametric regression on principal components. Zbl 0857.62040
Härdle, W.; Tsybakov, A. B.
6
1995
Optimal adaptive estimation of linear functionals under sparsity. Zbl 1456.62141
Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.; Verzelen, Nicolas
6
2018
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
Asymptotically minimax image reconstruction problems. Zbl 0801.62041
Korostelev, A. P.; Tsybakov, A. B.
5
1992
Nonparametric recursive variance estimation. Zbl 0863.62034
Stadtmüller, U.; Tsybakov, A. B.
5
1995
Passive stochastic approximation. Zbl 0719.62092
Nazin, A. V.; Polyak, B. T.; Tsybakov, A. B.
5
1989
Comment on ‘Sliced inverse regression for dimension reduction’. Zbl 1353.62038
Härdle, W.; Tsybakov, A. B.
5
1991
Variable selection with Hamming loss. Zbl 1414.62126
Butucea, Cristina; Ndaoud, Mohamed; Stepanova, Natalia A.; Tsybakov, Alexandre B.
5
2018
Bounds on the prediction error of penalized least squares estimators with convex penalty. Zbl 06848045
Bellec, Pierre; Tsybakov, Alexandre
5
2017
Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity. Zbl 1470.62054
Dalalyan, A.; Tsybakov, A. B.
4
2008
Structured matrix estimation and completion. Zbl 1428.62281
Klopp, Olga; Lu, Yu; Tsybakov, Alexandre B.; Zhou, Harrison H.
4
2019
Accuracy estimates of the minimization method of the empirical risk. Zbl 0474.93056
Tsybakov, A. B.
4
1981
Signal processing by the non-parametric maximum-likelihood method. Zbl 0565.62028
Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B.
4
1984
Asymptotic efficiency in estimation of a convex set. Zbl 0926.94007
Korostelev, A. P.; Tsybakov, A. B.
4
1994
Multidimensional change-point problems and boundary estimation. Zbl 1163.62331
Tsybakov, A. B.
4
1994
Pivotal estimation in high-dimensional regression via linear programming. Zbl 1325.62088
Gautier, Eric; Tsybakov, Alexandre B.
4
2013
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.
4
2016
Discussion: Latent variable graphical model selection via convex optimization. Zbl 1288.62087
Giraud, Christophe; Tsybakov, Alexandre
3
2012
Asymptotically efficient signal estimation in \(L_2\) under general loss functions. Zbl 0898.62108
Tsybakov, A. V.
3
1997
On stochastic approximation with arbitrary noise (the KW-case). Zbl 0774.62087
Polyak, B. T.; Tsybakov, A. B.
3
1992
Optimal variable selection and adaptive noisy compressed sensing. Zbl 1448.94081
Ndaoud, Mohamed; Tsybakov, Alexandre B.
1
2020
On estimation of nonsmooth functionals of sparse normal means. Zbl 1442.62078
Collier, O.; Comminges, L.; Tsybakov, A. B.
1
2020
Structured matrix estimation and completion. Zbl 1428.62281
Klopp, Olga; Lu, Yu; Tsybakov, Alexandre B.; Zhou, Harrison H.
4
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.
2
2019
Minimax rate of testing in sparse linear regression. Zbl 1456.62083
Carpentier, A.; Collier, O.; Comminges, L.; Tsybakov, A. B.; Wang, Yu.
2
2019
Sparse covariance matrix estimation in high-dimensional deconvolution. Zbl 1466.62332
Belomestny, Denis; Trabs, Mathias; Tsybakov, Alexandre B.
1
2019
Slope meets Lasso: improved oracle bounds and optimality. Zbl 1405.62056
Bellec, Pierre C.; Lecué, Guillaume; Tsybakov, Alexandre B.
16
2018
Optimal adaptive estimation of linear functionals under sparsity. Zbl 1456.62141
Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.; Verzelen, Nicolas
6
2018
Variable selection with Hamming loss. Zbl 1414.62126
Butucea, Cristina; Ndaoud, Mohamed; Stepanova, Natalia A.; Tsybakov, Alexandre B.
5
2018
Oracle inequalities for network models and sparse graphon estimation. Zbl 1367.62090
Klopp, Olga; Tsybakov, Alexandre B.; Verzelen, Nicolas
22
2017
Minimax estimation of linear and quadratic functionals on sparsity classes. Zbl 1368.62191
Collier, Olivier; Comminges, Laëtitia; Tsybakov, Alexandre B.
21
2017
Robust matrix completion. Zbl 1383.62167
Klopp, Olga; Lounici, Karim; Tsybakov, Alexandre B.
11
2017
Empirical entropy, minimax regret and minimax risk. Zbl 1380.62176
Rakhlin, Alexander; Sridharan, Karthik; Tsybakov, Alexandre B.
9
2017
Linear and conic programming estimators in high dimensional errors-in-variables models. Zbl 1411.62180
Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B.
7
2017
Bounds on the prediction error of penalized least squares estimators with convex penalty. Zbl 06848045
Bellec, Pierre; Tsybakov, Alexandre
5
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.
4
2016
Sharp oracle bounds for monotone and convex regression through aggregation. Zbl 1351.62088
Bellec, Pierre C.; Tsybakov, Alexandre B.
10
2015
Estimation of matrices with row sparsity. Zbl 1388.62161
Klopp, Olga; Tsybakov, Alexandre B.
3
2015
Statistical inference in compound functional models. Zbl 1285.62041
Dalalyan, Arnak; Ingster, Yuri; Tsybakov, Alexandre B.
10
2014
Aggregation and minimax optimality in high-dimensional estimation. Zbl 1380.62136
Tsybakov, Alexandre B.
8
2014
Improved matrix uncertainty selector. Zbl 1327.62410
Rosenbaum, Mathieu; Tsybakov, Alexandre B.
8
2013
Pivotal estimation in high-dimensional regression via linear programming. Zbl 1325.62088
Gautier, Eric; Tsybakov, Alexandre B.
4
2013
Sparse estimation by exponential weighting. Zbl 1331.62351
Rigollet, Philippe; Tsybakov, Alexandre B.
29
2012
Sparse regression learning by aggregation and Langevin Monte-Carlo. Zbl 1244.62054
Dalalyan, A. S.; Tsybakov, A. B.
27
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.
121
2011
Estimation of high-dimensional low-rank matrices. Zbl 1215.62056
Rohde, Angelika; Tsybakov, Alexandre B.
75
2011
Oracle inequalities and optimal inference under group sparsity. Zbl 1306.62156
Lounici, Karim; Pontil, Massimiliano; van de Geer, Sara; Tsybakov, Alexandre B.
66
2011
Exponential screening and optimal rates of sparse estimation. Zbl 1215.62043
Rigollet, Philippe; Tsybakov, Alexandre
59
2011
Detection boundary in sparse regression. Zbl 1329.62314
Ingster, Yuri I.; Tsybakov, Alexandre B.; Verzelen, Nicolas
42
2010
Sparse recovery under matrix uncertainty. Zbl 1373.62357
Rosenbaum, Mathieu; Tsybakov, Alexandre B.
20
2010
SPADES and mixture models. Zbl 1198.62025
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.; Barbu, Adrian
15
2010
Noisy independent factor analysis model for density estimation and classification. Zbl 1329.62273
Amato, Umberto; Antoniadis, Anestis; Samarov, Alexander; Tsybakov, Alexandre B.
2
2010
Simultaneous analysis of Lasso and Dantzig selector. Zbl 1173.62022
Bickel, Peter J.; Ritov, Ya’acov; Tsybakov, Alexandre B.
458
2009
Introduction to nonparametric estimation. Zbl 1176.62032
Tsybakov, Alexandre B.
331
2009
Nonparametric estimation of composite functions. Zbl 1160.62030
Juditsky, Anatoli B.; Lepski, Oleg V.; Tsybakov, Alexandre B.
17
2009
Classification of sparse high-dimensional vectors. Zbl 1185.62115
Ingster, Yuri I.; Pouet, Christophe; Tsybakov, Alexandre B.
10
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
Bartlett, Peter L.; Koltchinskii, Vladimir; Tsybakov, Alexandre B.; Van De Geer, Sara
2
2009
Learning by mirror averaging. Zbl 1274.62288
Juditsky, A.; Rigollet, P.; Tsybakov, A. B.
42
2008
Sharp optimality in density deconvolution with dominating bias. I. Zbl 1141.62021
Butucea, C.; Tsybakov, A. B.
38
2008
Sharp optimality in density deconvolution with dominating bias. II. Zbl 1142.62017
Butucea, C.; Tsybakov, A. B.
38
2008
Change-point estimation from indirect observations. 1. Minimax complexity. Zbl 1206.62048
Goldenshluger, A.; Juditsky, A.; Tsybakov, A. B.; Zeevi, A.
7
2008
Change-point estimation from indirect observations. 2. Adaptation. Zbl 1206.62047
Goldenshluger, A.; Juditsky, A.; Tsybakov, A.; Zeevi, A.
6
2008
Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity. Zbl 1470.62054
Dalalyan, A.; Tsybakov, A. B.
4
2008
Sparsity oracle inequalities for the Lasso. Zbl 1146.62028
Bunea, Florentina; Tsybakov, Alexandre; Wegkamp, Marten H.
117
2007
Aggregation for Gaussian regression. Zbl 1209.62065
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
97
2007
Fast learning rates for plug-in classifiers. Zbl 1118.62041
Audibert, Jean-Yves; Tsybakov, Alexandre B.
66
2007
Linear and convex aggregation of density estimators. Zbl 1231.62057
Rigollet, Ph.; Tsybakov, A. B.
42
2007
Aggregation by exponential weighting and sharp oracle inequalities. Zbl 1203.62063
Dalalyan, Arnak S.; Tsybakov, Alexandre B.
33
2007
Sparse density estimation with \(\ell _{1}\) penalties. Zbl 1203.62053
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
14
2007
Aggregation and sparsity via \(\ell _{1}\) penalized least squares. Zbl 1143.62319
Bunea, Florentina; Tsybakov, Alexandre B.; Wegkamp, Marten H.
29
2006
Penalized maximum likelihood and semiparametric second-order efficiency. Zbl 1091.62020
Dalalyan, A. S.; Golubev, G. K.; Tsybakov, A. B.
22
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.
22
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.
18
2005
Optimal aggregation of classifiers in statistical learning. Zbl 1105.62353
Tsybakov, Alexandre B.
138
2004
Introduction to nonparametric estimation. (Introduction à l’estimation non-paramétrique.) Zbl 1029.62034
Tsybakov, Alexandre B.
54
2004
Nonparametric independent component analysis. Zbl 1055.62037
Samarov, Alexander; Tsybakov, Alexandre
9
2004
Estimating the endpoint of a distribution in the presence of additive observation errors. Zbl 1095.62042
Goldenshluger, A.; Tsybakov, A.
9
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.
54
2003
Block thresholding and sharp adaptive estimation in severely ill-posed inverse problems. Zbl 1130.62313
Cavalier, L.; Golubev, Y.; Lepski, O.; Tsybakov, A.
14
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.
71
2002
Sharp adaptation for inverse problems with random noise. Zbl 1039.62031
Cavalier, Laurent; Tsybakov, Alexandre
63
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.
21
2001
Sharp adaptive estimation of linear functionals. Zbl 1043.62029
Klemelä, Jussi; Tsybakov, Alexandre B.
15
2001
Adaptive prediction and estimation in linear regression with infinitely many parameters. Zbl 1043.62076
Goldenshluger, A.; Tsybakov, A.
14
2001
Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point. Zbl 0971.62022
Lepski, O. V.; Tsybakov, A. B.
36
2000
On the best rate of adaptive estimation in some inverse problems. Zbl 1163.62316
Tsybakov, Alexandre
17
2000
Smooth discrimination analysis. Zbl 0961.62058
Mammen, Enno; Tsybakov, Alexandre B.
83
1999
Wavelets, approximation, and statistical applications. Zbl 0899.62002
Härdle, Wolfgang; Kerkyacharian, Gerard; Picard, Dominique; Tsybakov, Alexander
192
1998
Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes. Zbl 0933.62028
Tsybakov, A. B.
44
1998
Nonparametric vector autoregression. Zbl 0937.62042
Härdle, W.; Tsybakov, A.; Yang, L.
29
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.
80
1997
On nonparametric estimation of density level sets. Zbl 0881.62039
Tsybakov, A. B.
68
1997
Asymptotically efficient signal estimation in \(L_2\) under general loss functions. Zbl 0898.62108
Tsybakov, A. V.
3
1997
Root-\(n\) consistent estimators of entropy for densities with unbounded support. Zbl 0866.62004
Tsybakov, A. B.; van der Meulen, E. C.
20
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.
56
1995
Asymptotical minimax recovery of sets with smooth boundaries. Zbl 0834.62038
Mammen, E.; Tsybakov, A. B.
47
1995
Estimation of non-sharp support boundaries. Zbl 0863.62030
Härdle, W.; Park, B. U.; Tsybakov, A. B.
44
1995
On estimation of monotone and convex boundaries. Zbl 0817.62023
Korostelev, A. P.; Simar, L.; Tsybakov, A. B.
21
1995
Visual error criteria for qualitative smoothing. Zbl 0826.62026
Marron, J. S.; Tsybakov, A. B.
20
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.
5
1995
Asymptotic efficiency in estimation of a convex set. Zbl 0926.94007
Korostelev, A. P.; Tsybakov, A. B.
4
1994
Multidimensional change-point problems and boundary estimation. Zbl 1163.62331
Tsybakov, A. B.
4
1994
Minimax theory of image reconstruction. Zbl 0833.62039
Korostelev, A. P.; Tsybakov, A. B.
165
1993
How sensitive are average derivatives? Zbl 0772.62021
Härdle, Wolfgang; Tsybakov, A. B.
24
1993
Estimation of the density support and its functionals. Zbl 0796.62038
Korostelev, A. P.; Tsybakov, A. B.
7
1993
Nonparametric recursive estimation in nonlinear ARX-models. Zbl 0804.62041
Doukhan, P.; Tsybakov, A. B.
3
1993
Bandwidth choice for average derivative estimation. Zbl 0781.62044
Härdle, W.; Hart, J.; Marron, J. S.; Tsybakov, A. B.
27
1992
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
Asymptotically minimax image reconstruction problems. Zbl 0801.62041
Korostelev, A. P.; Tsybakov, A. B.
5
1992
...and 23 more Documents
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Cited by 2,527 Authors

53 Tsybakov, Alexandre B.
30 Van de Geer, Sara Anna
25 Cai, Tony Tony
24 Comte, Fabienne
24 Fan, Jianqing
22 Chesneau, Christophe
22 Dalalyan, Arnak S.
21 Hall, Peter Gavin
21 Lecué, Guillaume
20 Goldenshluger, Alexander
20 Lian, Heng
20 Rigollet, Philippe
18 Alquier, Pierre
18 Bühlmann, Peter
18 Butucea, Cristina
18 Kolchinskiĭ, Vladimir I’ich
17 Pensky, Marianna
16 Cuevas, Antonio
16 Girard, Stéphane
16 Munk, Axel
16 Picard, Dominique B.
15 Nickl, Richard
14 Belomestny, Denis
14 Juditsky, Anatoli B.
14 Klopp, Olga
14 Mendelson, Shahar
14 Spokoiny, Vladimir G.
13 Lepskiĭ, Oleg Vital’evich
13 Liu, Youming
13 Marteau, Clément
13 Nemirovski, Arkadi S.
13 Reiß, Markus
13 Van der Vaart, Adrianus Willem
13 Yuan, Ming
12 Bertin, Karine
12 Hoffmann, Marc R.
12 Simar, Léopold
12 Verzelen, Nicolas
12 Wainwright, Martin J.
12 Zhang, Cun-Hui
11 Fraiman, Ricardo
11 Lounici, Karim
11 Mammen, Enno
11 Wegkamp, Marten H.
10 Bissantz, Nicolai
10 Dette, Holger
10 Donoho, David Leigh
10 Efromovich, Sam
10 Gadat, Sébastien
10 Golubev, Yuriĭ K.
10 Ingster, Yuriĭ Izmaĭlovich
10 Kerkyacharian, Gérard
10 Koo, Ja-Yong
10 Lacour, Claire
10 Samworth, Richard J.
10 Wasserman, Larry Alan
10 Zhou, Harrison H.
9 Arias-Castro, Ery
9 Bradic, Jelena
9 Fadili, Jalal M.
9 Gao, Chao
9 Genon-Catalot, Valentine
9 Härdle, Wolfgang Karl
9 Klemelä, Jussi
9 Li, Linyuan
9 Low, Mark G.
9 Massart, Pascal
9 Nazin, Aleksandr V.
9 Neumeyer, Natalie
9 Rivoirard, Vincent
9 Schmidt-Hieber, Johannes
9 Vilar Fernandez, Juan Manuel
8 Benhaddou, Rida
8 Brunel, Victor-Emmanuel
8 Candès, Emmanuel J.
8 Carpentier, Alexandra
8 Cavalier, Laurent
8 Chernozhukov, Victor
8 Collier, Olivier
8 Gaïffas, Stéphane
8 Gugushvili, Shota
8 Hebiri, Mohamed
8 Huang, Jian
8 Lerasle, Matthieu
8 Linton, Oliver Bruce
8 Liu, Han
8 Loubes, Jean-Michel
8 Lv, Jinchi
8 Meister, Alexander
8 Park, Byeong Uk
8 Rodríguez-Casal, Alberto
8 Sapatinas, Theofanis
8 She, Yiyuan
8 Steinwart, Ingo
8 Yang, Yuhong
8 Zhang, Tong
7 Balakrishnan, Sivaraman
7 Belitser, Eduard
7 Biau, Gérard
7 Clémençon, Stéphan
...and 2,427 more Authors
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365 The Annals of Statistics
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