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## Mendelson, Shahar

Compute Distance To:
 Author ID: mendelson.shahar Published as: Mendelson, Shahar; Mendelson, S. Homepage: http://www.lpsm.paris/pageperso/mendelson/ External Links: MGP · Wikidata · ORCID · dblp
 Documents Indexed: 94 Publications since 2001, including 2 Books
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#### Co-Authors

 34 single-authored 10 Lecué, Guillaume 9 Pajor, Alain 8 Bartlett, Peter L. 8 Lugosi, Gábor 6 Tomczak-Jaegermann, Nicole 4 Philips, Petra 3 Guédon, Olivier 3 Paouris, Grigoris 3 Vershynin, Roman 2 Bousquet, Olivier 2 Klartag, Bo’az 2 Kolchinskiĭ, Vladimir I’ich 2 Neeman, Joseph 2 Rauhut, Holger 2 Schechtman, Gideon 2 Zhivotovskiy, Nikita 1 Barthe, Franck 1 Dirksen, Sjoerd 1 Eldar, Yonina Chana 1 Gordon, Yehoram 1 Krahmer, Felix 1 Linial, Nathan 1 Litvak, Aleksandr Evgen’evich 1 Milman, Emanuel 1 Milman, Vitali D. 1 Naor, Assaf 1 Nelken, Israel 1 Rudelson, Mark 1 Shraibman, Adi 1 Smola, Alexander J. 1 Ward, Rachel A. 1 Williamson, Robert C. 1 Zinn, Joel
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#### Serials

 8 The Annals of Statistics 6 Probability Theory and Related Fields 6 Bernoulli 5 Journal of Machine Learning Research (JMLR) 4 Journal of the European Mathematical Society (JEMS) 3 IEEE Transactions on Information Theory 3 The Annals of Probability 2 Israel Journal of Mathematics 2 Studia Mathematica 2 Journal of Functional Analysis 2 Journal of Complexity 2 Neural Computation 2 Geometric and Functional Analysis. GAFA 2 Electronic Communications in Probability 2 Positivity 2 Journal of the ACM 1 Communications on Pure and Applied Mathematics 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Combinatorica 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Lecture Notes in Computer Science 1 Lecture Notes in Mathematics
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#### Fields

 46 Probability theory and stochastic processes (60-XX) 35 Computer science (68-XX) 33 Statistics (62-XX) 21 Functional analysis (46-XX) 13 Convex and discrete geometry (52-XX) 6 Information and communication theory, circuits (94-XX) 5 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 1,080 times in 648 Documents Cited by Year
Rademacher and Gaussian complexities: risk bounds and structural results. Zbl 1084.68549
Bartlett, Peter L.; Mendelson, Shahar
2003
Bartlett, Peter L.; Bousquet, Olivier; Mendelson, Shahar
2005
A probabilistic approach to the geometry of the $$\ell^n_p$$-ball. Zbl 1071.60010
Barthe, Franck; Guédon, Olivier; Mendelson, Shahar; Naor, Assaf
2005
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
Learning without concentration. Zbl 1333.68232
Mendelson, Shahar
2015
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2008
Empirical minimization. Zbl 1142.62348
Bartlett, Peter L.; Mendelson, Shahar
2006
Suprema of chaos processes and the restricted isometry property. Zbl 1310.94024
Krahmer, Felix; Mendelson, Shahar; Rauhut, Holger
2014
Bounding the smallest singular value of a random matrix without concentration. Zbl 1331.15027
2015
Regularization in kernel learning. Zbl 1191.68356
Mendelson, Shahar; Neeman, Joseph
2010
A few notes on statistical learning theory. Zbl 1019.68093
Mendelson, Shahar
2003
Entropy and the combinatorial dimension. Zbl 1039.60016
Mendelson, S.; Vershynin, R.
2003
Sparse recovery under weak moment assumptions. Zbl 1414.62135
Lecué, Guillaume; Mendelson, Shahar
2017
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
2007
Empirical processes and random projections. Zbl 1079.60033
Klartag, B.; Mendelson, S.
2005
Aggregation via empirical risk minimization. Zbl 1206.62094
Lecué, Guillaume; Mendelson, Shahar
2009
Sub-Gaussian estimators of the mean of a random vector. Zbl 1417.62192
Lugosi, Gábor; Mendelson, Shahar
2019
On the performance of kernel classes. Zbl 1083.68097
Mendelson, Shahar
2004
$$\ell _{1}$$-regularized linear regression: persistence and oracle inequalities. Zbl 1395.62207
Bartlett, Peter L.; Mendelson, Shahar; Neeman, Joseph
2012
Empirical processes with a bounded $$\psi_1$$ diameter. Zbl 1204.60042
Mendelson, Shahar
2010
Improving the sample complexity using global data. Zbl 1061.68128
Mendelson, Shahar
2002
On singular values of matrices with independent rows. Zbl 1138.60328
Mendelson, Shahar; Pajor, Alain
2006
Rademacher averages and phase transitions in Glivenko-Cantelli classes. Zbl 1059.60027
Mendelson, Shahar
2002
Geometric parameters of kernel machines. Zbl 1050.68070
Mendelson, Shahar
2002
Gaussian averages of interpolated bodies and applications to approximate reconstruction. Zbl 1148.60003
Gordon, Y.; Litvak, A. E.; Mendelson, S.; Pajor, A.
2007
A remark on the diameter of random sections of convex bodies. Zbl 1317.52011
Mendelson, Shahar
2014
On the singular values of random matrices. Zbl 1290.60006
Mendelson, Shahar; Paouris, Grigoris
2014
Regularization and the small-ball method. I: Sparse recovery. Zbl 1403.60085
Lecué, Guillaume; Mendelson, Shahar
2018
Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Zbl 1126.46007
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
Bartlett, Peter L.; Bousquet, Olivier; Mendelson, Shahar
2002
Upper bounds on product and multiplier empirical processes. Zbl 1386.60077
Mendelson, Shahar
2016
On generic chaining and the smallest singular value of random matrices with heavy tails. Zbl 1242.60008
Mendelson, Shahar; Paouris, Grigoris
2012
Obtaining fast error rates in nonconvex situations. Zbl 1338.60112
Mendelson, Shahar
2008
Lower bounds for the empirical minimization algorithm. Zbl 1328.68332
Mendelson, Shahar
2008
Rademacher and Gaussian complexities: Risk bounds and structural results. Zbl 0992.68106
Bartlett, Peter L.; Mendelson, Shahar
2001
The geometry of random $$\{-1,1\}$$-polytopes. Zbl 1081.52005
Mendelson, S.; Pajor, A.; Rudelson, M.
2005
On the optimality of the aggregate with exponential weights for low temperatures. Zbl 1456.62136
Lecué, Guillaume; Mendelson, Shahar
2013
Learning without concentration for general loss functions. Zbl 1393.62038
Mendelson, Shahar
2018
Majorizing measures and proportional subsets of bounded orthonormal systems. Zbl 1207.46015
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2008
Sharper lower bounds on the performance of the empirical risk minimization algorithm. Zbl 1220.62007
Lecué, Guillaume; Mendelson, Shahar
2010
On weakly bounded empirical processes. Zbl 1151.60006
Mendelson, Shahar
2008
Local complexities for empirical risk minimization. Zbl 1078.68046
Bartlett, Peter L.; Mendelson, Shahar; Philips, Petra
2004
“Local” vs. “global” parameters – breaking the Gaussian complexity barrier. Zbl 1459.62054
Mendelson, Shahar
2017
General nonexact oracle inequalities for classes with a subexponential envelope. Zbl 1274.62247
Lecué, Guillaume; Mendelson, Shahar
2012
Risk minimization by median-of-means tournaments. Zbl 1436.62312
Lugosi, Gábor; Mendelson, Shahar
2020
On aggregation for heavy-tailed classes. Zbl 1371.62032
Mendelson, Shahar
2017
Robust covariance estimation under $$L_4$$-$$L_2$$ norm equivalence. Zbl 1451.62084
Mendelson, Shahar; Zhivotovskiy, Nikita
2020
Learnability in Hilbert spaces with reproducing kernels. Zbl 1004.68131
Mendelson, Shahar
2002
Geometric methods in the analysis of Glivenko-Cantelli classes. Zbl 0992.68094
Mendelson, Shahar
2001
Reconstruction and subgaussian processes. Zbl 1081.46013
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2005
Performance of empirical risk minimization in linear aggregation. Zbl 1346.60075
Lecué, Guillaume; Mendelson, Shahar
2016
On multiplier processes under weak moment assumptions. Zbl 1366.60044
Mendelson, Shahar
2017
Near-optimal mean estimators with respect to general norms. Zbl 1431.62234
Lugosi, Gábor; Mendelson, Shahar
2019
Improved bounds for sparse recovery from subsampled random convolutions. Zbl 1441.94062
Mendelson, Shahar; Rauhut, Holger; Ward, Rachel
2018
Entropy, combinatorial dimensions and random averages. Zbl 1050.68071
Mendelson, Shahar; Vershynin, Roman
2002
Geometric parameters in learning theory. Zbl 1062.68066
Mendelson, S.
2004
On the size of convex hulls of small sets. Zbl 1008.68107
Mendelson, Shahar
2002
Learning relatively small classes. Zbl 0998.68068
Mendelson, Shahar
2001
Minimax rate of convergence and the performance of empirical risk minimization in phase recovery. Zbl 1318.62178
Lecué, Guillaume; Mendelson, Shahar
2015
$$\ell$$-norm and its application to learning theory. Zbl 0997.41015
Mendelson, S.
2001
Advanced lectures on machine learning. Machine learning summer school 2002, Canberra, Australia, February 11–22, 2002. Revised lectures. Zbl 1015.00030
Mendelson, Shahar (ed.); Smola, Alexander J. (ed.)
2003
Remarks on the geometry of coordinate projections in $$\mathbb{R}^n$$. Zbl 1066.46009
Mendelson, S.; Vershynin, R.
2004
Embedding with a Lipschitz function. Zbl 1092.46010
Mendelson, Shahar
2005
On the optimality of the empirical risk minimization procedure for the convex aggregation problem. Zbl 1259.62038
Lecué, Guillaume; Mendelson, Shahar
2013
Regularization and the small-ball method. II: Complexity dependent error rates. Zbl 1444.62051
Lecué, Guillaume; Mendelson, Shahar
2017
Mean estimation and regression under heavy-tailed distributions: A survey. Zbl 1431.62123
Lugosi, Gábor; Mendelson, Shahar
2019
A subgaussian embedding theorem. Zbl 1183.46010
Mendelson, Shahar; Tomczak-Jaegermann, Nicole
2008
On the importance of small coordinate projections. Zbl 1222.68264
Mendelson, Shahar; Philips, Petra
2004
Agnostic learning nonconvex function classes. Zbl 1050.68072
Mendelson, Shahar; Williamson, Robert C.
2002
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
2004
Ellipsoid approximation using random vectors. Zbl 1137.68558
Mendelson, S.; Pajor, A.
2005
Generalized dual Sudakov minoration via dimension-reduction – a program. Zbl 1431.52009
Mendelson, Shahar; Milman, Emanuel; Paouris, Grigoris
2019
Concentration of the spectral norm of Erdős-Rényi random graphs. Zbl 1439.60010
Lugosi, Gábor; Mendelson, Shahar; Zhivotovskiy, Nikita
2020
Approximating the covariance ellipsoid. Zbl 1447.62088
Mendelson, Shahar
2020
Robust multivariate mean estimation: the optimality of trimmed mean. Zbl 1461.62069
Lugosi, Gábor; Mendelson, Shahar
2021
Robust multivariate mean estimation: the optimality of trimmed mean. Zbl 1461.62069
Lugosi, Gábor; Mendelson, Shahar
2021
Risk minimization by median-of-means tournaments. Zbl 1436.62312
Lugosi, Gábor; Mendelson, Shahar
2020
Robust covariance estimation under $$L_4$$-$$L_2$$ norm equivalence. Zbl 1451.62084
Mendelson, Shahar; Zhivotovskiy, Nikita
2020
Concentration of the spectral norm of Erdős-Rényi random graphs. Zbl 1439.60010
Lugosi, Gábor; Mendelson, Shahar; Zhivotovskiy, Nikita
2020
Approximating the covariance ellipsoid. Zbl 1447.62088
Mendelson, Shahar
2020
Sub-Gaussian estimators of the mean of a random vector. Zbl 1417.62192
Lugosi, Gábor; Mendelson, Shahar
2019
Near-optimal mean estimators with respect to general norms. Zbl 1431.62234
Lugosi, Gábor; Mendelson, Shahar
2019
Mean estimation and regression under heavy-tailed distributions: A survey. Zbl 1431.62123
Lugosi, Gábor; Mendelson, Shahar
2019
Generalized dual Sudakov minoration via dimension-reduction – a program. Zbl 1431.52009
Mendelson, Shahar; Milman, Emanuel; Paouris, Grigoris
2019
Regularization and the small-ball method. I: Sparse recovery. Zbl 1403.60085
Lecué, Guillaume; Mendelson, Shahar
2018
Learning without concentration for general loss functions. Zbl 1393.62038
Mendelson, Shahar
2018
Improved bounds for sparse recovery from subsampled random convolutions. Zbl 1441.94062
Mendelson, Shahar; Rauhut, Holger; Ward, Rachel
2018
Sparse recovery under weak moment assumptions. Zbl 1414.62135
Lecué, Guillaume; Mendelson, Shahar
2017
“Local” vs. “global” parameters – breaking the Gaussian complexity barrier. Zbl 1459.62054
Mendelson, Shahar
2017
On aggregation for heavy-tailed classes. Zbl 1371.62032
Mendelson, Shahar
2017
On multiplier processes under weak moment assumptions. Zbl 1366.60044
Mendelson, Shahar
2017
Regularization and the small-ball method. II: Complexity dependent error rates. Zbl 1444.62051
Lecué, Guillaume; Mendelson, Shahar
2017
Upper bounds on product and multiplier empirical processes. Zbl 1386.60077
Mendelson, Shahar
2016
Performance of empirical risk minimization in linear aggregation. Zbl 1346.60075
Lecué, Guillaume; Mendelson, Shahar
2016
Learning without concentration. Zbl 1333.68232
Mendelson, Shahar
2015
Bounding the smallest singular value of a random matrix without concentration. Zbl 1331.15027
2015
Minimax rate of convergence and the performance of empirical risk minimization in phase recovery. Zbl 1318.62178
Lecué, Guillaume; Mendelson, Shahar
2015
Suprema of chaos processes and the restricted isometry property. Zbl 1310.94024
Krahmer, Felix; Mendelson, Shahar; Rauhut, Holger
2014
A remark on the diameter of random sections of convex bodies. Zbl 1317.52011
Mendelson, Shahar
2014
On the singular values of random matrices. Zbl 1290.60006
Mendelson, Shahar; Paouris, Grigoris
2014
On the optimality of the aggregate with exponential weights for low temperatures. Zbl 1456.62136
Lecué, Guillaume; Mendelson, Shahar
2013
On the optimality of the empirical risk minimization procedure for the convex aggregation problem. Zbl 1259.62038
Lecué, Guillaume; Mendelson, Shahar
2013
$$\ell _{1}$$-regularized linear regression: persistence and oracle inequalities. Zbl 1395.62207
Bartlett, Peter L.; Mendelson, Shahar; Neeman, Joseph
2012
On generic chaining and the smallest singular value of random matrices with heavy tails. Zbl 1242.60008
Mendelson, Shahar; Paouris, Grigoris
2012
General nonexact oracle inequalities for classes with a subexponential envelope. Zbl 1274.62247
Lecué, Guillaume; Mendelson, Shahar
2012
Regularization in kernel learning. Zbl 1191.68356
Mendelson, Shahar; Neeman, Joseph
2010
Empirical processes with a bounded $$\psi_1$$ diameter. Zbl 1204.60042
Mendelson, Shahar
2010
Sharper lower bounds on the performance of the empirical risk minimization algorithm. Zbl 1220.62007
Lecué, Guillaume; Mendelson, Shahar
2010
Aggregation via empirical risk minimization. Zbl 1206.62094
Lecué, Guillaume; Mendelson, Shahar
2009
Uniform uncertainty principle for Bernoulli and subgaussian ensembles. Zbl 1230.46011
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2008
Obtaining fast error rates in nonconvex situations. Zbl 1338.60112
Mendelson, Shahar
2008
Lower bounds for the empirical minimization algorithm. Zbl 1328.68332
Mendelson, Shahar
2008
Majorizing measures and proportional subsets of bounded orthonormal systems. Zbl 1207.46015
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2008
On weakly bounded empirical processes. Zbl 1151.60006
Mendelson, Shahar
2008
A subgaussian embedding theorem. Zbl 1183.46010
Mendelson, Shahar; Tomczak-Jaegermann, Nicole
2008
Reconstruction and subgaussian operators in asymptotic geometric analysis. Zbl 1163.46008
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
Complexity measures of sign matrices. Zbl 1164.68006
Linial, Nati; Mendelson, Shahar; Schechtman, Gideon; Shraibman, Adi
2007
Gaussian averages of interpolated bodies and applications to approximate reconstruction. Zbl 1148.60003
Gordon, Y.; Litvak, A. E.; Mendelson, S.; Pajor, A.
2007
Subspaces and orthogonal decompositions generated by bounded orthogonal systems. Zbl 1126.46007
Guédon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2007
Empirical minimization. Zbl 1142.62348
Bartlett, Peter L.; Mendelson, Shahar
2006
On singular values of matrices with independent rows. Zbl 1138.60328
Mendelson, Shahar; Pajor, Alain
2006
Bartlett, Peter L.; Bousquet, Olivier; Mendelson, Shahar
2005
A probabilistic approach to the geometry of the $$\ell^n_p$$-ball. Zbl 1071.60010
Barthe, Franck; Guédon, Olivier; Mendelson, Shahar; Naor, Assaf
2005
Empirical processes and random projections. Zbl 1079.60033
Klartag, B.; Mendelson, S.
2005
The geometry of random $$\{-1,1\}$$-polytopes. Zbl 1081.52005
Mendelson, S.; Pajor, A.; Rudelson, M.
2005
Reconstruction and subgaussian processes. Zbl 1081.46013
Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole
2005
Embedding with a Lipschitz function. Zbl 1092.46010
Mendelson, Shahar
2005
Ellipsoid approximation using random vectors. Zbl 1137.68558
Mendelson, S.; Pajor, A.
2005
On the performance of kernel classes. Zbl 1083.68097
Mendelson, Shahar
2004
Local complexities for empirical risk minimization. Zbl 1078.68046
Bartlett, Peter L.; Mendelson, Shahar; Philips, Petra
2004
Geometric parameters in learning theory. Zbl 1062.68066
Mendelson, S.
2004
Remarks on the geometry of coordinate projections in $$\mathbb{R}^n$$. Zbl 1066.46009
Mendelson, S.; Vershynin, R.
2004
On the importance of small coordinate projections. Zbl 1222.68264
Mendelson, Shahar; Philips, Petra
2004
The shattering dimension of sets of linear functionals. Zbl 1045.60006
Mendelson, Shahar; Schechtman, Gideon
2004
Rademacher and Gaussian complexities: risk bounds and structural results. Zbl 1084.68549
Bartlett, Peter L.; Mendelson, Shahar
2003
A few notes on statistical learning theory. Zbl 1019.68093
Mendelson, Shahar
2003
Entropy and the combinatorial dimension. Zbl 1039.60016
Mendelson, S.; Vershynin, R.
2003
Advanced lectures on machine learning. Machine learning summer school 2002, Canberra, Australia, February 11–22, 2002. Revised lectures. Zbl 1015.00030
Mendelson, Shahar; Smola, Alexander J.
2003
Improving the sample complexity using global data. Zbl 1061.68128
Mendelson, Shahar
2002
Rademacher averages and phase transitions in Glivenko-Cantelli classes. Zbl 1059.60027
Mendelson, Shahar
2002
Geometric parameters of kernel machines. Zbl 1050.68070
Mendelson, Shahar
2002
Bartlett, Peter L.; Bousquet, Olivier; Mendelson, Shahar
2002
Learnability in Hilbert spaces with reproducing kernels. Zbl 1004.68131
Mendelson, Shahar
2002
Entropy, combinatorial dimensions and random averages. Zbl 1050.68071
Mendelson, Shahar; Vershynin, Roman
2002
On the size of convex hulls of small sets. Zbl 1008.68107
Mendelson, Shahar
2002
Agnostic learning nonconvex function classes. Zbl 1050.68072
Mendelson, Shahar; Williamson, Robert C.
2002
Rademacher and Gaussian complexities: Risk bounds and structural results. Zbl 0992.68106
Bartlett, Peter L.; Mendelson, Shahar
2001
Geometric methods in the analysis of Glivenko-Cantelli classes. Zbl 0992.68094
Mendelson, Shahar
2001
Learning relatively small classes. Zbl 0998.68068
Mendelson, Shahar
2001
$$\ell$$-norm and its application to learning theory. Zbl 0997.41015
Mendelson, S.
2001
all top 5

#### Cited by 885 Authors

 48 Mendelson, Shahar 18 Lecué, Guillaume 16 Rauhut, Holger 12 Krahmer, Felix 12 Prochno, Joscha 12 Tomczak-Jaegermann, Nicole 12 Zhou, Dingxuan 11 Litvak, Aleksandr Evgen’evich 11 Pajor, Alain 11 Steinwart, Ingo 10 Ying, Yiming 9 Guédon, Olivier 9 Kolchinskiĭ, Vladimir I’ich 9 Lugosi, Gábor 9 Lv, Shaogao 9 Vershynin, Roman 8 Böröczky, Karoly jun. 8 Guo, Zheng-Chu 8 Tikhomirov, Konstantin E. 7 Adamczak, Radosław 7 Alonso-Gutiérrez, David 7 Bartlett, Peter L. 7 Dalalyan, Arnak S. 7 Feng, Yunlong 7 Wu, Qiang 6 Bousquet, Olivier 6 Mohri, Mehryar 6 Thäle, Christoph 6 Tsybakov, Alexandre B. 6 Wainwright, Martin J. 6 Zhivotovskiy, Nikita 5 Dirksen, Sjoerd 5 Giannopoulos, Apostolos A. 5 Henk, Martin 5 Li, Song 5 Loustau, Sébastien 5 Needell, Deanna 5 Rigollet, Philippe 5 Suykens, Johan A. K. 5 Tropp, Joel A. 4 Aswani, Anil 4 Bellec, Pierre C. 4 Blanchard, Gilles 4 Chen, Dirong 4 Chen, Hong 4 Fan, Jun 4 Giryes, Raja 4 Junge, Marius 4 Kueng, Richard 4 Lei, Yunwen 4 Lerasle, Matthieu 4 Li, Luoqing 4 Massart, Pascal 4 Rakhlin, Alexander 4 Saab, Rayan 4 Sanguineti, Marcello 4 Schölkopf, Bernhard 4 Sugiyama, Masashi 4 Van de Geer, Sara Anna 4 Ward, Rachel A. 4 Xia, Yu 4 Xiong, Ge 4 Yang, Deane 4 Zhang, Tong 4 Zhu, Guangxian 3 Anguita, Davide 3 Anthony, Martin H. G. 3 Bahmani, Sohail 3 Balan, Radu V. 3 Bandeira, Afonso S. 3 Bednorz, Witold Marek 3 Boucheron, Stéphane Vincent 3 Bourgain, Jean 3 Cai, Tony Tony 3 Chafaï, Djalil 3 Cheng, Guang 3 Dafnis, Nikos 3 Davis, Damek 3 Drusvyatskiy, Dmitriy 3 Eskenazis, Alexandros 3 Fornasier, Massimo 3 Gao, Daqi 3 Gnecco, Giorgio 3 Hang, Hanyuan 3 Hanneke, Steve 3 Hu, Ting 3 Iwen, Mark A. 3 Kabanava, Maryia 3 Kabluchko, Zakhar A. 3 Kashin, Boris Sergeevich 3 Latała, Rafał 3 Lin, Shaobo 3 Lutwak, Erwin 3 Minsker, Stanislav 3 Mixon, Dustin G. 3 Oneto, Luca 3 Plan, Yaniv 3 Ridella, Sandro 3 Romberg, Justin K. 3 Sheng, Baohuai ...and 785 more Authors
all top 5

#### Cited in 168 Serials

 51 The Annals of Statistics 32 Applied and Computational Harmonic Analysis 31 Electronic Journal of Statistics 30 Journal of Machine Learning Research (JMLR) 25 Neural Computation 22 Machine Learning 22 Bernoulli 16 Advances in Mathematics 16 Probability Theory and Related Fields 11 The Annals of Probability 11 Journal of Complexity 11 The Journal of Fourier Analysis and Applications 10 Advances in Computational Mathematics 10 Analysis and Applications (Singapore) 8 Journal of Computer and System Sciences 8 Foundations of Computational Mathematics 7 Journal of Statistical Planning and Inference 7 Advances in Applied Mathematics 7 Constructive Approximation 7 Discrete & Computational Geometry 7 Linear Algebra and its Applications 6 Israel Journal of Mathematics 6 Information Sciences 6 Journal of Approximation Theory 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Theoretical Computer Science 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 SIAM Journal on Imaging Sciences 4 Discrete Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 4 Journal of Multivariate Analysis 4 Proceedings of the American Mathematical Society 4 Statistics & Probability Letters 4 Neural Networks 4 Computational Statistics and Data Analysis 4 Mathematical Programming. Series A. Series B 4 Positivity 4 Communications in Contemporary Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Information and Inference 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Annals of the Institute of Statistical Mathematics 3 Journal of Theoretical Probability 3 Mathematical and Computer Modelling 3 The Journal of Geometric Analysis 3 Pattern Recognition 3 Stochastic Processes and their Applications 3 Computational Complexity 3 Computational Optimization and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Statistical Mechanics: Theory and Experiment 3 Science China. Mathematics 2 Studia Mathematica 2 Journal of the American Statistical Association 2 Mathematische Annalen 2 Mathematika 2 Operations Research 2 Transactions of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Statistical Science 2 Journal of the American Mathematical Society 2 Random Structures & Algorithms 2 The Annals of Applied Probability 2 Geometric and Functional Analysis. GAFA 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Optimization 2 Combinatorics, Probability and Computing 2 International Journal of Computer Vision 2 Electronic Communications in Probability 2 Journal of the ACM 2 Acta Mathematica Sinica. English Series 2 Advances in Geometry 2 Multiscale Modeling & Simulation 2 Chebyshevskiĭ Sbornik 2 Proceedings of the Steklov Institute of Mathematics 2 SIAM Journal on Mathematics of Data Science 1 Applicable Analysis 1 Artificial Intelligence 1 The Canadian Journal of Statistics 1 Discrete Mathematics 1 Inverse Problems 1 Information Processing Letters 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Theory of Probability and its Applications 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Automatica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics ...and 68 more Serials
all top 5

#### Cited in 37 Fields

 266 Statistics (62-XX) 236 Computer science (68-XX) 163 Probability theory and stochastic processes (60-XX) 91 Information and communication theory, circuits (94-XX) 77 Convex and discrete geometry (52-XX) 69 Functional analysis (46-XX) 62 Numerical analysis (65-XX) 61 Linear and multilinear algebra; matrix theory (15-XX) 57 Operations research, mathematical programming (90-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 27 Approximations and expansions (41-XX) 11 Combinatorics (05-XX) 11 Partial differential equations (35-XX) 10 Operator theory (47-XX) 10 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Number theory (11-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Measure and integration (28-XX) 6 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

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