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Kolchinskiĭ, Vladimir I’ich

Co-Author Distance
Author ID: koltchinskii.vladimir-i Recent zbMATH articles by "Kolchinskiĭ, Vladimir I’ich"
Published as: Koltchinskii, Vladimir; Kolchinskij, V. I.; Koltchinskii, V.; Koltchinskii, V. I.; Koltchinskii, Vladimir I.; Kolchins’kij, V. I.; Kolchinskyj, V. I.; Kolčinskii, V. I.
Further Spellings: Колчинский Владимир Ильич
External Links: MGP · Math-Net.Ru · dblp
Documents Indexed: 114 Publications since 1977, including 1 Book and 5 Additional arXiv Preprints
6 Contributions as Editor
Co-Authors: 47 Co-Authors with 62 Joint Publications
1,494 Co-Co-Authors
all top 5

Co-Authors

58 single-authored
10 Giné-Masdéu, Evarist
8 Panchenko, Dmitry
6 Lounici, Karim
6 Nickl, Richard
5 Abdallah, Chaouki Tanios
5 Ariola, Marco
5 Sakhanenko, Lyudmila
5 Van de Geer, Sara Anna
5 Wellner, Jon August
4 Dorato, Peter
4 Dudley, Richard Mansfield
4 Tsybakov, Alexandre B.
3 Xia, Dong
3 Zhilova, Mayya
3 Zinn, Joel
2 Li, Wenbo V.
2 Lozano, Fernando
2 Mendelson, Shahar
2 Rangel, Pedro
1 Amato, Francesco
1 Andonova, Savina
1 Banerjee, Moulinath
1 Bartlett, Peter L.
1 Beznosova, Oleksandra V.
1 Bousquet, Olivier
1 Bunea, Florentina
1 Cai, Songhe
1 Efromovich, Sam
1 Houdré, Christian
1 Huang, Jian
1 Kerkyacharian, Gérard
1 Li, Lang
1 Li, Minghao
1 Löffler, Matthias
1 Lugosi, Gábor
1 Mason, David Michael
1 Minsker, Stanislav
1 Norvaiša, Rimas
1 Pathak, Pramod K.
1 Peligrad, Magda
1 Picard, Dominique B.
1 Rao, Calyampudi Radhakrishna
1 Reiß, Markus
1 Rigollet, Philippe
1 Temlyakov, Vladimir Nikolaevich
1 Wahl, Martin
1 Yuan, Ming
all top 5

Serials

16 The Annals of Statistics
8 Theory of Probability and Mathematical Statistics
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Stochastic Processes and their Applications
3 Bernoulli
2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
2 IEEE Transactions on Information Theory
2 The Annals of Probability
2 Journal of Statistical Planning and Inference
2 Journal of Theoretical Probability
2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
2 Teoriya Veroyatnosteĭ i Matematicheskaya Statistika
2 Journal of Machine Learning Research (JMLR)
2 Oberwolfach Reports
2 Institute of Mathematical Statistics Collections
2 Sankhyā. Series A
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Ukrainian Mathematical Journal
1 Theory of Probability and its Applications
1 Applied Mathematics and Computation
1 IEEE Transactions on Automatic Control
1 Journal of Multivariate Analysis
1 Kybernetika
1 Siberian Mathematical Journal
1 Probability Theory and Related Fields
1 Constructive Approximation
1 Statistical Science
1 The Annals of Applied Probability
1 IMRN. International Mathematics Research Notices
1 Linear Algebra and its Applications
1 Electronic Communications in Probability
1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka
1 Journal of the European Mathematical Society (JEMS)
1 Butlletí de la Societat Catalana de Matemàtiques
1 Institute of Mathematical Statistics Lecture Notes - Monograph Series
1 Lecture Notes in Mathematics
1 Electronic Journal of Statistics
1 Journal de l’École Polytechnique – Mathématiques
all top 5

Fields

82 Probability theory and stochastic processes (60-XX)
71 Statistics (62-XX)
13 Computer science (68-XX)
7 General and overarching topics; collections (00-XX)
7 Measure and integration (28-XX)
6 Operator theory (47-XX)
5 History and biography (01-XX)
5 Systems theory; control (93-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functional analysis (46-XX)
3 General topology (54-XX)
3 Quantum theory (81-XX)
3 Operations research, mathematical programming (90-XX)
2 Numerical analysis (65-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Real functions (26-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Differential geometry (53-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

79 Publications have been cited 1,683 times in 1,208 Documents Cited by ▼ Year ▼
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Zbl 1231.62097
Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B.
185
2011
Oracle inequalities in empirical risk minimization and sparse recovery problems. École d’Été de Probabilités de Saint-Flour XXXVIII-2008. Zbl 1223.91002
Koltchinskii, Vladimir
160
2011
Local Rademacher complexities and oracle inequalities in risk minimization. (2004 IMS Medallion Lecture). (With discussions and rejoinder). Zbl 1118.62065
Koltchinskii, Vladimir
130
2006
\(M\)-estimation, convexity and quantiles. Zbl 0878.62037
Koltchinskii, V. I.
79
1997
Concentration inequalities and moment bounds for sample covariance operators. Zbl 1366.60057
Koltchinskii, Vladimir; Lounici, Karim
76
2017
Rademacher penalties and structural risk minimization. Zbl 1008.62614
Koltchinskii, Vladimir
69
2001
Empirical margin distributions and bounding the generalization error of combined classifiers. Zbl 1012.62004
Koltchinskii, V.; Panchenko, D.
61
2002
Random matrix approximation of spectra of integral operators. Zbl 0949.60078
Koltchinskii, Vladimir; Giné, Evarist
61
2000
Bounding the smallest singular value of a random matrix without concentration. Zbl 1331.15027
Koltchinskii, Vladimir; Mendelson, Shahar
58
2015
Concentration inequalities and asymptotic results for ratio type empirical processes. Zbl 1152.60021
Giné, Evarist; Koltchinskii, Vladimir
55
2006
Sparsity in multiple kernel learning. Zbl 1204.62086
Koltchinskii, Vladimir; Yuan, Ming
53
2010
Empirical graph Laplacian approximation of Laplace-Beltrami operators: large sample results. Zbl 1124.60030
Giné, Evarist; Koltchinskii, Vladimir
52
2006
The Dantzig selector and sparsity oracle inequalities. Zbl 1452.62486
Koltchinskii, Vladimir
49
2009
Sparsity in penalized empirical risk minimization. Zbl 1168.62044
Koltchinskii, Vladimir
48
2009
On inverse problems with unknown operators. Zbl 1017.94508
Efromovich, Sam; Koltchinskii, Vladimir
45
2001
Rademacher processes and bounding the risk of function learning. Zbl 1106.68385
Koltchinskii, Vladimir; Panchenko, Dmitriy
43
2000
Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance. Zbl 1353.62053
Koltchinskii, Vladimir; Lounici, Karim
32
2016
Von Neumann entropy penalization and low-rank matrix estimation. Zbl 1246.62138
Koltchinskii, Vladimir
28
2011
Normal approximation and concentration of spectral projectors of sample covariance. Zbl 1367.62175
Koltchinskii, Vladimir; Lounici, Karim
26
2017
Weighted uniform consistency of kernel density estimators. Zbl 1052.62034
Giné, Evarist; Koltchinskii, Vladimir; Zinn, Joel
19
2004
Improved sample complexity estimates for statistical learning control of uncertain systems. Zbl 0991.93130
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P.; Panchenko, D.
18
2000
Some local measures of complexity of convex hulls and generalization bounds. Zbl 1050.68055
Bousquet, Olivier; Koltchinskii, Vladimir; Panchenko, Dmitriy
18
2002
Komlós-Major-Tusnády approximation for the general empirical process and Haar expansions of classes of functions. Zbl 0810.60002
Koltchinskii, Vladimir I.
17
1994
Kernel density estimators: convergence in distribution for weighted sup-norms. Zbl 1048.62041
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila
16
2004
Perturbation of linear forms of singular vectors under Gaussian noise. Zbl 1353.15034
Koltchinskii, Vladimir; Xia, Dong
16
2016
Optimal estimation of low rank density matrices. Zbl 1357.62221
Koltchinskii, Vladimir; Xia, Dong
14
2015
Efficient estimation of linear functionals of principal components. Zbl 1440.62232
Koltchinskii, Vladimir; Löffler, Matthias; Nickl, Richard
14
2020
New asymptotic results in principal component analysis. Zbl 06822893
Koltchinskii, Vladimir; Lounici, Karim
14
2017
Testing of spherical symmetry of a multivariate distribution. Zbl 1138.62328
Koltchinskii, V. I.; Li, Lang
13
1998
Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing. Zbl 1195.62040
Koltchinskii, Vladimir; Sakhanenko, Lyudmila; Cai, Songhe
13
2007
Empirical geometry of multivariate data: a deconvolution approach. Zbl 1105.62345
Koltchinskii, V. I.
12
2000
A note on the asymptotic distribution of Berk-Jones type statistics under the null hypothesis. Zbl 1042.62009
Wellner, Jon A.; Koltchinskii, Vladimir
12
2003
Testing for ellipsoidal symmetry of a multivariate distribution. Zbl 0958.62056
Koltchinskii, Vladimir; Sakhanenko, Lyudmila
11
2000
Sparse recovery in convex hulls via entropy penalization. Zbl 1269.62039
Koltchinskii, Vladimir
11
2009
Ratio limit theorems for empirical processes. Zbl 1055.60019
Giné, Evarist; Koltchinskii, Vladimir; Wellner, Jon A.
10
2003
Bootstrap by sequential resampling. Zbl 0945.62014
Rao, C. Radhakrishna; Pathak, P. K.; Koltchinskii, V. I.
10
1997
Rademacher complexities and bounding the excess risk in active learning. Zbl 1242.62088
Koltchinskii, Vladimir
10
2010
Asymptotically efficient estimation of smooth functionals of covariance operators. Zbl 1461.62068
Koltchinskii, Vladimir
10
2021
On the central limit theorem for empirical measures. Zbl 0504.60024
Kolchinskij, V. I.
8
1982
Complexities of convex combinations and bounding the generalization error in classification. Zbl 1080.62045
Koltchinskii, Vladimir; Panchenko, Dmitry
8
2005
Exponential convergence rates in classification. Zbl 1137.68546
Koltchinskii, Vladimir; Beznosova, Olexandra
8
2005
A remark on low rank matrix recovery and noncommutative Bernstein type inequalities. Zbl 1327.62434
Koltchinskii, Vladimir
8
2013
On spatial quantiles. Zbl 0965.62048
Koltchinskii, Vladimir; Dudley, Richard
5
2000
Asymptotics of spectral projections of some random matrices approximating integral operators. Zbl 0905.60003
Koltchinskii, Vladimir I.
5
1998
Estimation of low rank density matrices: bounds in Schatten norms and other distances. Zbl 1403.62104
Xia, Dong; Koltchinskii, Vladimir
5
2016
Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems. Zbl 1007.93064
Abdallah, C. T.; Amato, F.; Ariola, M.; Dorato, P.; Koltchinskii, V.
4
2002
Bahadur-Kiefer approximation for spatial quantiles. Zbl 0855.62035
Koltchinskii, V.
4
1994
Some limit theorems for empirical measures. Zbl 0486.60005
Kolchinskij, V. I.
4
1980
Efficient estimation of smooth functionals in Gaussian shift models. Zbl 1469.62430
Koltchinskii, Vladimir; Zhilova, Mayya
4
2021
Bounding the generalization error of convex combinations of classifiers: Balancing the dimensionality and the margins. Zbl 1073.62535
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando
3
2003
Bounds on margin distributions in learning problems. Zbl 1031.60017
Koltchinskii, Vladimir
3
2003
Nonlinear transformations of empirical processes: Functional inverses and Bahadur-Kiefer representations. Zbl 0843.60035
Koltchinskii, V.
3
1994
\(L_1\)-penalization in functional linear regression with subgaussian design. (Pénalisation \(L_1\) en régression fonctionnelle linéaire avec design sous-gaussien.) Zbl 1308.62143
Koltchinskii, Vladimir; Minsker, Stanislav
3
2014
On the central limit theorem for empirical measures. Zbl 0478.60039
Kolchinskij, V. I.
3
1981
Estimation of smooth functionals of location parameter in Gaussian and Poincaré random shift models. Zbl 1479.62035
Koltchinskii, Vladimir; Zhilova, Mayya
3
2021
Statistical learning control of uncertain systems: theory and algorithms. Zbl 1052.93066
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P.
2
2001
Envelop moments conditions and Donsker classes. Zbl 0941.60059
Dudley, R. M.; Kolchinskyj, V. I.
2
1994
Further explanation of the effectiveness of voting methods: The game between margins and weights. Zbl 0992.68511
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando
2
2001
M-estimation and spatial quantiles. Zbl 0844.62034
Koltchinskii, V.
2
1996
Optimal exponential bounds on the accuracy of classification. Zbl 1304.62056
Kerkyacharian, G.; Tsybakov, A. B.; Temlyakov, V.; Picard, D.; Koltchinskii, V.
2
2014
Statistical-learning control of multiple-delay systems with application to ATM networks. Zbl 1265.93210
Abdallah, Chaouki T.; Ariola, Marco; Koltchinskii, Vladimir
2
2001
Convergence in distribution of self-normalized sup-norms of kernel density estimators. Zbl 1042.62046
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila
2
2003
Estimation of smooth functionals in normal models: bias reduction and asymptotic efficiency. Zbl 1486.62163
Koltchinskii, Vladimir; Zhilova, Mayya
2
2021
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
Sharp oracle inequalities in low rank estimation. Zbl 1325.62112
Koltchinskii, Vladimir
2
2013
Asymptotic efficiency in high-dimensional covariance estimation. Zbl 1451.62057
Koltchinskii, Vladimir
2
2018
Differentiability of inverse operators and limit theorems for inverse functions. Zbl 0916.60001
Koltchinskii, Vladimir I.
1
1998
Accuracy of the approximation of an empirical process by a Brownian bridge. Zbl 0786.60040
Kolchinskij, V. I.
1
1991
The mathematical work of Evarist Giné. Zbl 1376.01013
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A.
1
2016
Rates of convergence in the invariance principle for empirical processes. Zbl 0786.60039
Kolchinskij, V. I.
1
1991
On the law of iterated logarithm in Strassen form for empirical measures. Zbl 0467.60029
Kolchinskij, V. I.
1
1981
Asymptotics of statistical estimators of integral curves. Zbl 1243.62042
Koltchinskii, Vladimir; Sakhanenko, Lyudmila
1
2009
Low rank estimation of smooth kernels on graphs. Zbl 1360.62272
Koltchinskii, Vladimir; Rangel, Pedro
1
2013
Low rank estimation of similarities on graphs. Zbl 1329.62261
Koltchinskii, Vladimir; Rangel, Pedro
1
2013
Estimation of low-rank covariance function. Zbl 1387.60066
Koltchinskii, V.; Lounici, K.; Tsybakov, A. B.
1
2016
Estimation of smooth functionals in high-dimensional models: bootstrap chains and Gaussian approximation. Zbl 1539.62143
Koltchinskii, Vladimir
1
2022
Selected works of R.M. Dudley. Edited by Evarist Giné, Vladimir Koltchinskii and Rimas Norvaiša. Zbl 1210.60006
Dudley, R. M.
1
2010
Generalization bounds for voting classifiers based on sparsity and clustering. Zbl 1274.68328
Koltchinskii, Vladimir; Panchenko, Dmitry; Andonova, Savina
1
2003
Functional limit theorems and empirical entropy. II. Zbl 0633.60051
Kolchinskij, V. I.
1
1987
Estimation of smooth functionals in high-dimensional models: bootstrap chains and Gaussian approximation. Zbl 1539.62143
Koltchinskii, Vladimir
1
2022
Asymptotically efficient estimation of smooth functionals of covariance operators. Zbl 1461.62068
Koltchinskii, Vladimir
10
2021
Efficient estimation of smooth functionals in Gaussian shift models. Zbl 1469.62430
Koltchinskii, Vladimir; Zhilova, Mayya
4
2021
Estimation of smooth functionals of location parameter in Gaussian and Poincaré random shift models. Zbl 1479.62035
Koltchinskii, Vladimir; Zhilova, Mayya
3
2021
Estimation of smooth functionals in normal models: bias reduction and asymptotic efficiency. Zbl 1486.62163
Koltchinskii, Vladimir; Zhilova, Mayya
2
2021
Efficient estimation of linear functionals of principal components. Zbl 1440.62232
Koltchinskii, Vladimir; Löffler, Matthias; Nickl, Richard
14
2020
Asymptotic efficiency in high-dimensional covariance estimation. Zbl 1451.62057
Koltchinskii, Vladimir
2
2018
Concentration inequalities and moment bounds for sample covariance operators. Zbl 1366.60057
Koltchinskii, Vladimir; Lounici, Karim
76
2017
Normal approximation and concentration of spectral projectors of sample covariance. Zbl 1367.62175
Koltchinskii, Vladimir; Lounici, Karim
26
2017
New asymptotic results in principal component analysis. Zbl 06822893
Koltchinskii, Vladimir; Lounici, Karim
14
2017
Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance. Zbl 1353.62053
Koltchinskii, Vladimir; Lounici, Karim
32
2016
Perturbation of linear forms of singular vectors under Gaussian noise. Zbl 1353.15034
Koltchinskii, Vladimir; Xia, Dong
16
2016
Estimation of low rank density matrices: bounds in Schatten norms and other distances. Zbl 1403.62104
Xia, Dong; Koltchinskii, Vladimir
5
2016
The mathematical work of Evarist Giné. Zbl 1376.01013
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A.
1
2016
Estimation of low-rank covariance function. Zbl 1387.60066
Koltchinskii, V.; Lounici, K.; Tsybakov, A. B.
1
2016
Bounding the smallest singular value of a random matrix without concentration. Zbl 1331.15027
Koltchinskii, Vladimir; Mendelson, Shahar
58
2015
Optimal estimation of low rank density matrices. Zbl 1357.62221
Koltchinskii, Vladimir; Xia, Dong
14
2015
\(L_1\)-penalization in functional linear regression with subgaussian design. (Pénalisation \(L_1\) en régression fonctionnelle linéaire avec design sous-gaussien.) Zbl 1308.62143
Koltchinskii, Vladimir; Minsker, Stanislav
3
2014
Optimal exponential bounds on the accuracy of classification. Zbl 1304.62056
Kerkyacharian, G.; Tsybakov, A. B.; Temlyakov, V.; Picard, D.; Koltchinskii, V.
2
2014
A remark on low rank matrix recovery and noncommutative Bernstein type inequalities. Zbl 1327.62434
Koltchinskii, Vladimir
8
2013
Sharp oracle inequalities in low rank estimation. Zbl 1325.62112
Koltchinskii, Vladimir
2
2013
Low rank estimation of smooth kernels on graphs. Zbl 1360.62272
Koltchinskii, Vladimir; Rangel, Pedro
1
2013
Low rank estimation of similarities on graphs. Zbl 1329.62261
Koltchinskii, Vladimir; Rangel, Pedro
1
2013
Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. Zbl 1231.62097
Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B.
185
2011
Oracle inequalities in empirical risk minimization and sparse recovery problems. École d’Été de Probabilités de Saint-Flour XXXVIII-2008. Zbl 1223.91002
Koltchinskii, Vladimir
160
2011
Von Neumann entropy penalization and low-rank matrix estimation. Zbl 1246.62138
Koltchinskii, Vladimir
28
2011
Sparsity in multiple kernel learning. Zbl 1204.62086
Koltchinskii, Vladimir; Yuan, Ming
53
2010
Rademacher complexities and bounding the excess risk in active learning. Zbl 1242.62088
Koltchinskii, Vladimir
10
2010
Selected works of R.M. Dudley. Edited by Evarist Giné, Vladimir Koltchinskii and Rimas Norvaiša. Zbl 1210.60006
Dudley, R. M.
1
2010
The Dantzig selector and sparsity oracle inequalities. Zbl 1452.62486
Koltchinskii, Vladimir
49
2009
Sparsity in penalized empirical risk minimization. Zbl 1168.62044
Koltchinskii, Vladimir
48
2009
Sparse recovery in convex hulls via entropy penalization. Zbl 1269.62039
Koltchinskii, Vladimir
11
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
Asymptotics of statistical estimators of integral curves. Zbl 1243.62042
Koltchinskii, Vladimir; Sakhanenko, Lyudmila
1
2009
Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing. Zbl 1195.62040
Koltchinskii, Vladimir; Sakhanenko, Lyudmila; Cai, Songhe
13
2007
Local Rademacher complexities and oracle inequalities in risk minimization. (2004 IMS Medallion Lecture). (With discussions and rejoinder). Zbl 1118.62065
Koltchinskii, Vladimir
130
2006
Concentration inequalities and asymptotic results for ratio type empirical processes. Zbl 1152.60021
Giné, Evarist; Koltchinskii, Vladimir
55
2006
Empirical graph Laplacian approximation of Laplace-Beltrami operators: large sample results. Zbl 1124.60030
Giné, Evarist; Koltchinskii, Vladimir
52
2006
Complexities of convex combinations and bounding the generalization error in classification. Zbl 1080.62045
Koltchinskii, Vladimir; Panchenko, Dmitry
8
2005
Exponential convergence rates in classification. Zbl 1137.68546
Koltchinskii, Vladimir; Beznosova, Olexandra
8
2005
Weighted uniform consistency of kernel density estimators. Zbl 1052.62034
Giné, Evarist; Koltchinskii, Vladimir; Zinn, Joel
19
2004
Kernel density estimators: convergence in distribution for weighted sup-norms. Zbl 1048.62041
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila
16
2004
A note on the asymptotic distribution of Berk-Jones type statistics under the null hypothesis. Zbl 1042.62009
Wellner, Jon A.; Koltchinskii, Vladimir
12
2003
Ratio limit theorems for empirical processes. Zbl 1055.60019
Giné, Evarist; Koltchinskii, Vladimir; Wellner, Jon A.
10
2003
Bounding the generalization error of convex combinations of classifiers: Balancing the dimensionality and the margins. Zbl 1073.62535
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando
3
2003
Bounds on margin distributions in learning problems. Zbl 1031.60017
Koltchinskii, Vladimir
3
2003
Convergence in distribution of self-normalized sup-norms of kernel density estimators. Zbl 1042.62046
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila
2
2003
Generalization bounds for voting classifiers based on sparsity and clustering. Zbl 1274.68328
Koltchinskii, Vladimir; Panchenko, Dmitry; Andonova, Savina
1
2003
Empirical margin distributions and bounding the generalization error of combined classifiers. Zbl 1012.62004
Koltchinskii, V.; Panchenko, D.
61
2002
Some local measures of complexity of convex hulls and generalization bounds. Zbl 1050.68055
Bousquet, Olivier; Koltchinskii, Vladimir; Panchenko, Dmitriy
18
2002
Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems. Zbl 1007.93064
Abdallah, C. T.; Amato, F.; Ariola, M.; Dorato, P.; Koltchinskii, V.
4
2002
Rademacher penalties and structural risk minimization. Zbl 1008.62614
Koltchinskii, Vladimir
69
2001
On inverse problems with unknown operators. Zbl 1017.94508
Efromovich, Sam; Koltchinskii, Vladimir
45
2001
Statistical learning control of uncertain systems: theory and algorithms. Zbl 1052.93066
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P.
2
2001
Further explanation of the effectiveness of voting methods: The game between margins and weights. Zbl 0992.68511
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando
2
2001
Statistical-learning control of multiple-delay systems with application to ATM networks. Zbl 1265.93210
Abdallah, Chaouki T.; Ariola, Marco; Koltchinskii, Vladimir
2
2001
Random matrix approximation of spectra of integral operators. Zbl 0949.60078
Koltchinskii, Vladimir; Giné, Evarist
61
2000
Rademacher processes and bounding the risk of function learning. Zbl 1106.68385
Koltchinskii, Vladimir; Panchenko, Dmitriy
43
2000
Improved sample complexity estimates for statistical learning control of uncertain systems. Zbl 0991.93130
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P.; Panchenko, D.
18
2000
Empirical geometry of multivariate data: a deconvolution approach. Zbl 1105.62345
Koltchinskii, V. I.
12
2000
Testing for ellipsoidal symmetry of a multivariate distribution. Zbl 0958.62056
Koltchinskii, Vladimir; Sakhanenko, Lyudmila
11
2000
On spatial quantiles. Zbl 0965.62048
Koltchinskii, Vladimir; Dudley, Richard
5
2000
Testing of spherical symmetry of a multivariate distribution. Zbl 1138.62328
Koltchinskii, V. I.; Li, Lang
13
1998
Asymptotics of spectral projections of some random matrices approximating integral operators. Zbl 0905.60003
Koltchinskii, Vladimir I.
5
1998
Differentiability of inverse operators and limit theorems for inverse functions. Zbl 0916.60001
Koltchinskii, Vladimir I.
1
1998
\(M\)-estimation, convexity and quantiles. Zbl 0878.62037
Koltchinskii, V. I.
79
1997
Bootstrap by sequential resampling. Zbl 0945.62014
Rao, C. Radhakrishna; Pathak, P. K.; Koltchinskii, V. I.
10
1997
M-estimation and spatial quantiles. Zbl 0844.62034
Koltchinskii, V.
2
1996
Komlós-Major-Tusnády approximation for the general empirical process and Haar expansions of classes of functions. Zbl 0810.60002
Koltchinskii, Vladimir I.
17
1994
Bahadur-Kiefer approximation for spatial quantiles. Zbl 0855.62035
Koltchinskii, V.
4
1994
Nonlinear transformations of empirical processes: Functional inverses and Bahadur-Kiefer representations. Zbl 0843.60035
Koltchinskii, V.
3
1994
Envelop moments conditions and Donsker classes. Zbl 0941.60059
Dudley, R. M.; Kolchinskyj, V. I.
2
1994
Accuracy of the approximation of an empirical process by a Brownian bridge. Zbl 0786.60040
Kolchinskij, V. I.
1
1991
Rates of convergence in the invariance principle for empirical processes. Zbl 0786.60039
Kolchinskij, V. I.
1
1991
Functional limit theorems and empirical entropy. II. Zbl 0633.60051
Kolchinskij, V. I.
1
1987
On the central limit theorem for empirical measures. Zbl 0504.60024
Kolchinskij, V. I.
8
1982
On the central limit theorem for empirical measures. Zbl 0478.60039
Kolchinskij, V. I.
3
1981
On the law of iterated logarithm in Strassen form for empirical measures. Zbl 0467.60029
Kolchinskij, V. I.
1
1981
Some limit theorems for empirical measures. Zbl 0486.60005
Kolchinskij, V. I.
4
1980
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Cited by 1,657 Authors

34 Kolchinskiĭ, Vladimir I’ich
27 Van de Geer, Sara Anna
26 Mendelson, Shahar
25 Lian, Heng
24 Tsybakov, Alexandre B.
21 Lecué, Guillaume
16 Fan, Jianqing
15 Nickl, Richard
14 Alquier, Pierre
14 Cai, Tianwen
12 Chernozhukov, Victor
11 Dalalyan, Arnak S.
11 Klopp, Olga
11 Wainwright, Martin J.
10 Lugosi, Gábor
10 Yuan, Ming
10 Zhivotovskiy, Nikita
9 Lounici, Karim
9 Mohri, Mehryar
9 Sakhanenko, Lyudmila
8 Bühlmann, Peter
8 Clémençon, Stéphan
8 Giné-Masdéu, Evarist
8 Paindaveine, Davy
8 Serfling, Robert J.
8 Wahl, Martin
8 Xia, Dong
7 Bartlett, Peter L.
7 Belloni, Alexandre
7 Blanchard, Gilles
7 Bousquet, Olivier
7 Chen, Yuxin
7 Han, Qiyang
7 Hanneke, Steve
7 Kato, Kengo
7 Li, Rui
7 Löffler, Matthias
7 Lv, Shaogao
7 Tempo, Roberto
7 Wegkamp, Marten H.
7 Zhang, Cun-Hui
7 Zhang, Tong
7 Zhou, Dingxuan
6 Boucheron, Stéphane Vincent
6 Bunea, Florentina
6 Chakraborty, Biman
6 Chaudhuri, Probal
6 Johannes, Jan
6 Liu, Xiaohui
6 Lu, Wenqi
6 Massart, Pascal
6 Minsker, Stanislav
6 Paris, Quentin
6 Rauhut, Holger
6 Rigollet, Philippe
6 Rosasco, Lorenzo A.
6 Šiman, Miroslav
6 Suzuki, Taiji
6 Tikhomirov, Konstantin E.
6 Wang, Kaizheng
6 Wellner, Jon August
6 Yu, Bin
6 Zhang, Anru R.
6 Zhou, Harrison H.
5 Bahmani, Sohail
5 Baraud, Yannick
5 Butucea, Cristina
5 Chetverikov, Denis
5 Gaïffas, Stéphane
5 Gao, Daqi
5 Kim, Donggyu
5 Loustau, Sébastien
5 Mason, David Michael
5 Nussbaum, Michael
5 Picard, Dominique B.
5 Reiß, Markus
5 Slepčev, Dejan
5 Spokoĭnyĭ, Vladimir Grigor’evich
5 Wang, Zhe
5 Wong, Raymond K. W.
5 Zhu, Ziwei
4 Anguita, Davide
4 Arlot, Sylvain
4 Bellec, Pierre C.
4 Bertail, Patrice
4 Bouzebda, Salim
4 Chinot, Geoffrey
4 Cortes, Corinna
4 Dabbene, Fabrizio
4 De Castro, Yohann
4 De Vito, Ernesto
4 Fan, Zengyan
4 Garciatrillos, Nicolas
4 Guta, Madalin I.
4 Hallin, Marc
4 Han, Rungang
4 Hebiri, Mohamed
4 Jin, Rong
4 Kolar, Mladen
4 Krahmer, Felix
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Cited in 203 Serials

195 The Annals of Statistics
98 Electronic Journal of Statistics
64 Bernoulli
43 Journal of Machine Learning Research (JMLR)
42 Journal of Multivariate Analysis
28 Probability Theory and Related Fields
24 Journal of the American Statistical Association
21 Journal of Econometrics
21 Machine Learning
20 Journal of Statistical Planning and Inference
20 Applied and Computational Harmonic Analysis
18 Computational Statistics and Data Analysis
14 Statistics & Probability Letters
13 Statistical Science
12 Journal of Complexity
11 Communications in Statistics. Theory and Methods
11 Stochastic Processes and their Applications
10 Automatica
10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Mathematical Programming. Series A. Series B
10 Journal of Nonparametric Statistics
9 Annals of the Institute of Statistical Mathematics
9 Neural Networks
9 The Annals of Applied Probability
9 Foundations of Computational Mathematics
9 SIAM Journal on Mathematics of Data Science
9 Stat
8 Statistics
8 Neural Computation
8 Linear Algebra and its Applications
8 Mathematical Methods of Statistics
8 Statistica Sinica
7 The Annals of Probability
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Sankhyā. Series A
6 Scandinavian Journal of Statistics
6 Econometrica
6 Information Sciences
6 Journal of Computer and System Sciences
6 Theoretical Computer Science
6 Journal of Statistical Computation and Simulation
6 Pattern Recognition
6 Test
6 The Journal of Fourier Analysis and Applications
6 Statistical Inference for Stochastic Processes
6 Analysis and Applications (Singapore)
5 SIAM Journal on Optimization
5 Advances in Computational Mathematics
5 Econometric Theory
5 Journal of Computational and Graphical Statistics
5 Statistics and Computing
5 Information and Inference
4 Inverse Problems
4 Theory of Probability and its Applications
4 Biometrics
4 SIAM Journal on Mathematical Analysis
4 Annals of Mathematics and Artificial Intelligence
4 Electronic Journal of Probability
4 Journal of the European Mathematical Society (JEMS)
4 SIAM Journal on Imaging Sciences
4 Random Matrices: Theory and Applications
4 Mathematical Statistics and Learning
3 Discrete Applied Mathematics
3 Advances in Mathematics
3 Kybernetika
3 Operations Research
3 Constructive Approximation
3 Journal of Theoretical Probability
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Statistics
3 Automation and Remote Control
3 Communications in Statistics. Simulation and Computation
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Statistical Methodology
3 Journal of the Korean Statistical Society
3 Journal of Physics A: Mathematical and Theoretical
3 The Annals of Applied Statistics
3 Statistics Surveys
3 Wiley Interdisciplinary Reviews. WIREs Computational Statistics
2 Artificial Intelligence
2 Information Processing Letters
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Linear and Multilinear Algebra
2 Physica A
2 Russian Mathematical Surveys
2 Applied Mathematics and Computation
2 Inventiones Mathematicae
2 Journal of Approximation Theory
2 Journal of Optimization Theory and Applications
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Control and Optimization
2 Statistica Neerlandica
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Systems & Control Letters
2 Insurance Mathematics & Economics
2 Discrete & Computational Geometry
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2 Random Structures & Algorithms
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Cited in 38 Fields

931 Statistics (62-XX)
265 Probability theory and stochastic processes (60-XX)
256 Computer science (68-XX)
124 Numerical analysis (65-XX)
99 Operations research, mathematical programming (90-XX)
90 Linear and multilinear algebra; matrix theory (15-XX)
51 Information and communication theory, circuits (94-XX)
35 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Systems theory; control (93-XX)
29 Functional analysis (46-XX)
27 Combinatorics (05-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
19 Operator theory (47-XX)
17 Quantum theory (81-XX)
11 Partial differential equations (35-XX)
11 Biology and other natural sciences (92-XX)
9 Approximations and expansions (41-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Convex and discrete geometry (52-XX)
6 Measure and integration (28-XX)
5 Differential geometry (53-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 History and biography (01-XX)
3 Ordinary differential equations (34-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-XX)
2 Functions of a complex variable (30-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

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