Compute Distance To:
 Author ID: vapnik.vladimir-n Published as: Vapnik, V. N.; Vapnik, Vladimir; Vapnik, Vladimir N.; Vapnik, V.; Wapnik, W. N. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 52 Publications since 1964, including 9 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 34 Co-Authors with 43 Joint Publications 475 Co-Co-Authors
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### Co-Authors

 10 single-authored 23 Chervonenkis, Alekseĭ Yakovlevich 6 Izmailov, Rauf 2 Chapelle, Olivier 2 Cortes, Corinna 2 Stefanyuk, A. R. 1 Ajdu, F. A. 1 Barnhill, Stephen 1 Ben-Hur, Asa 1 Bengio, Yoshua 1 Bi, Jinbo 1 Blagoveshchenskiĭ, Yuriĭ Nikolaevich 1 Bousquet, Olivier 1 Braga, Igor 1 Dronfort, L. M. 1 Drucker, Harris 1 El-Yaniv, Ran 1 Glazkova, T. G. 1 Guyon, Isabelle 1 Horn, David 1 Jackel, L. D. 1 Koshcheev, V. A. 1 LeCun, Yann 1 Lerner, Alexander Ya. 1 Markovich, Natalia M. 1 Meshalkin, L. D. 1 Mikhal’skij, A. I. 1 Mukherjee, Sayan 1 Pechyony, Dmitry 1 Raudis, Sharunas 1 Siegelmann, Hava T. 1 Sterin, A. M. 1 Tel’ksnis, Laimutis A. 1 Vashist, Akshay 1 Weston, Jason
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### Serials

 14 Automation and Remote Control 6 Machine Learning 4 Journal of Machine Learning Research (JMLR) 2 Theory of Probability and its Applications 1 Physica A 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Avtomatika i Telemekhanika 1 Soviet Mathematics. Doklady 1 Neural Networks 1 Neural Computation 1 Annals of Mathematics and Artificial Intelligence 1 Statistical Analysis and Data Mining 1 Springer Series in Statistics 1 Elektronisches Rechnen und Regeln
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### Fields

 30 Computer science (68-XX) 21 Statistics (62-XX) 9 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 4,639 times in 3,619 Documents Cited by Year
Statistical learning theory. Zbl 0935.62007
1998
The nature of statistical learning theory. Zbl 0833.62008
1995
Support-vector networks. Zbl 0831.68098
1995
The nature of statistical learning theory. 2nd ed. Zbl 0934.62009
Vapnik, V. N.
2000
On the uniform convergence of relative frequencies of events to their probabilities. Zbl 0247.60005
Vapnik, V. N.; Chervonenkis, A. Ya.
1971
Gene selection for cancer classification using support vector machines. Zbl 0998.68111
Guyon, Isabelle; Weston, Jason; Barnhill, Stephen; Vapnik, Vladimir
2002
Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz. Zbl 0499.62005
1982
Choosing multiple parameters for support vector machines. Zbl 0998.68101
Chapelle, Olivier; Vapnik, Vladimir; Bousquet, Olivier; Mukherjee, Sayan
2002
Theory of pattern recognition. Statistical problems of learning. (Теория распознавания образов. Статистические проблемы обучения.) Zbl 0284.68070
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
Support vector clustering. Zbl 1002.68598
Ben-Hur, Asa; Horn, David; Siegelmann, Hava T.; Vapnik, Vladimir
2002
Necessary and sufficient conditions for the uniform convergence of means to their expectations. Zbl 0487.60036
Vapnik, V. N.; Chervonenkis, A. Ya.
1982
The support vector method of function estimation. Zbl 0928.68093
Vapnik, V.
1999
Reconstruction of functions from empirical data. (Восстановление зависимостей по ѐмпирическим данным.) Zbl 0499.62004
Vapnik, V. N.
1979
Estimation of dependences based on empirical data. Translated from the Russian by Samuel Kotz. With a new afterword of the 2006 ed.: Empirical inference science. 2nd ed., reprint of 1982 ed. Zbl 1118.62002
2006
On the uniform convergence of relative frequencies of events to their probabilities. Zbl 1337.60009
Vapnik, V. N.; Chervonenkis, A. Ya.
2015
A new learning paradigm: learning using privileged information. Zbl 1335.68212
2009
Model selection for small sample regression. Zbl 0998.68114
Chapelle, Olivier; Vapnik, Vladimir; Bengio, Yoshua
2002
Necessary and sufficient conditions for the uniform convergence of empirical means to their true values. Zbl 0471.60041
Vapnik, V. N.; Chervonenkis, A. Ya.
1981
Uniform convergence of frequencies of occurence of events to their probabilities. Zbl 0247.60004
Vapnik, V. N.; Chervonenkis, A. Ya.
1968
Inductive principles of the search for empirical dependences. (Methods based on weak convergence of probability measures). Zbl 0746.68075
Vapnik, V. N.
1989
Theory of uniform convergence of frequencies of events to their probabilities and problems of search for an optimal solution from empirical data. Zbl 0249.62031
Vapnik, V. N.; Chervonenkis, A. Ya.
1971
Boosting and other ensemble methods. Zbl 0939.68791
Drucker, Harris; Cortes, Corinna; Jackel, L. D.; LeCun, Yann; Vapnik, Vladimir
1994
Learning using privileged information: similarity control and knowledge transfer. Zbl 1351.68240
2015
On the uniform convergence of the frequencies of occurrence of events to their probabilities. Zbl 1325.60006
Vapnik, Vladimir N.; Chervonenkis, Alexey Ya.
2013
On a class of perceptrons. Zbl 0173.19103
Vapnik, V. N.; Chervonenkis, A. J.
1964
Algorithms and programs for the reconstruction of dependencies. (Алгоритмы и программы восстановления зависимостей.) Zbl 0599.62004
Vapnik, V. N.; Glazkova, T. G.; Koshcheev, V. A.; Mikhal’skiĭ, A. I.; Chervonenkis, A. Ya.
1984
Nonparametric methods for reconstructing probability densities. Zbl 0418.93071
Vapnik, V. N.; Stefanyuk, A. R.
1978
Learning with rigorous support vector machines. Zbl 1274.68291
2003
Ordered risk minimization. I. Zbl 0299.93050
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
Theorie der Zeichenerkennung. Übers. a. d. Russ., in dtsch. Spr. hrsg. v. Siegfried Unger und Klaus Fritzsch. Zbl 0417.68071
Wapnik, W. N.; Tscherwonenkis, A. J.
1979
Complete statistical theory of learning. Zbl 1436.62712
Vapnik, V. N.
2019
Knowledge transfer in SVM and neural networks. Zbl 1422.68207
2017
On a class of pattern recognition learning algorithms. Zbl 0137.10601
Vapnik, V. N.; Chervonenkis, A. Ya.
1965
Rate of convergence in $$L_ 2$$ of the projection estimator of the distribution density. Zbl 0790.62038
Vapnik, V. N.; Markovich, N. M.; Stefanyuk, A. R.
1992
Three fundamental concepts of the capacity of learning machines. Zbl 0799.60032
Vapnik, V.
1993
$$V$$-matrix method of solving statistical inference problems. Zbl 1351.62086
2015
Ordered risk minimization. II. Zbl 0304.93026
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
Training von Maschinen zur Zeichenerkennung nach der Methode der verallgemeinerten Bildnisse. Zbl 0189.17001
Vapnik, V. N.; Lerner, A. J.; Chervonenkis, A. Ya.
1967
Estimation of probability density on the basis of the method of stochastic regularization. Zbl 0692.62035
Ajdu, F. A.; Vapnik, V. N.
1989
Rethinking statistical learning theory: learning using statistical invariants. Zbl 1480.62064
2019
Ordered minimization of total risk in a pattern-recognition problem. Zbl 0416.68082
Vapnik, V. N.; Sterin, A. M.
1977
Complete statistical theory of learning. Zbl 1436.62712
Vapnik, V. N.
2019
Rethinking statistical learning theory: learning using statistical invariants. Zbl 1480.62064
2019
Knowledge transfer in SVM and neural networks. Zbl 1422.68207
2017
On the uniform convergence of relative frequencies of events to their probabilities. Zbl 1337.60009
Vapnik, V. N.; Chervonenkis, A. Ya.
2015
Learning using privileged information: similarity control and knowledge transfer. Zbl 1351.68240
2015
$$V$$-matrix method of solving statistical inference problems. Zbl 1351.62086
2015
On the uniform convergence of the frequencies of occurrence of events to their probabilities. Zbl 1325.60006
Vapnik, Vladimir N.; Chervonenkis, Alexey Ya.
2013
A new learning paradigm: learning using privileged information. Zbl 1335.68212
2009
Estimation of dependences based on empirical data. Translated from the Russian by Samuel Kotz. With a new afterword of the 2006 ed.: Empirical inference science. 2nd ed., reprint of 1982 ed. Zbl 1118.62002
2006
Learning with rigorous support vector machines. Zbl 1274.68291
2003
Gene selection for cancer classification using support vector machines. Zbl 0998.68111
Guyon, Isabelle; Weston, Jason; Barnhill, Stephen; Vapnik, Vladimir
2002
Choosing multiple parameters for support vector machines. Zbl 0998.68101
Chapelle, Olivier; Vapnik, Vladimir; Bousquet, Olivier; Mukherjee, Sayan
2002
Support vector clustering. Zbl 1002.68598
Ben-Hur, Asa; Horn, David; Siegelmann, Hava T.; Vapnik, Vladimir
2002
Model selection for small sample regression. Zbl 0998.68114
Chapelle, Olivier; Vapnik, Vladimir; Bengio, Yoshua
2002
The nature of statistical learning theory. 2nd ed. Zbl 0934.62009
Vapnik, V. N.
2000
The support vector method of function estimation. Zbl 0928.68093
Vapnik, V.
1999
Statistical learning theory. Zbl 0935.62007
1998
The nature of statistical learning theory. Zbl 0833.62008
1995
Support-vector networks. Zbl 0831.68098
1995
Boosting and other ensemble methods. Zbl 0939.68791
Drucker, Harris; Cortes, Corinna; Jackel, L. D.; LeCun, Yann; Vapnik, Vladimir
1994
Three fundamental concepts of the capacity of learning machines. Zbl 0799.60032
Vapnik, V.
1993
Rate of convergence in $$L_ 2$$ of the projection estimator of the distribution density. Zbl 0790.62038
Vapnik, V. N.; Markovich, N. M.; Stefanyuk, A. R.
1992
Inductive principles of the search for empirical dependences. (Methods based on weak convergence of probability measures). Zbl 0746.68075
Vapnik, V. N.
1989
Estimation of probability density on the basis of the method of stochastic regularization. Zbl 0692.62035
Ajdu, F. A.; Vapnik, V. N.
1989
Algorithms and programs for the reconstruction of dependencies. (Алгоритмы и программы восстановления зависимостей.) Zbl 0599.62004
Vapnik, V. N.; Glazkova, T. G.; Koshcheev, V. A.; Mikhal&rsquo;skiĭ, A. I.; Chervonenkis, A. Ya.
1984
Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz. Zbl 0499.62005
1982
Necessary and sufficient conditions for the uniform convergence of means to their expectations. Zbl 0487.60036
Vapnik, V. N.; Chervonenkis, A. Ya.
1982
Necessary and sufficient conditions for the uniform convergence of empirical means to their true values. Zbl 0471.60041
Vapnik, V. N.; Chervonenkis, A. Ya.
1981
Reconstruction of functions from empirical data. (Восстановление зависимостей по ѐмпирическим данным.) Zbl 0499.62004
Vapnik, V. N.
1979
Theorie der Zeichenerkennung. Übers. a. d. Russ., in dtsch. Spr. hrsg. v. Siegfried Unger und Klaus Fritzsch. Zbl 0417.68071
Wapnik, W. N.; Tscherwonenkis, A. J.
1979
Nonparametric methods for reconstructing probability densities. Zbl 0418.93071
Vapnik, V. N.; Stefanyuk, A. R.
1978
Ordered minimization of total risk in a pattern-recognition problem. Zbl 0416.68082
Vapnik, V. N.; Sterin, A. M.
1977
Theory of pattern recognition. Statistical problems of learning. (Теория распознавания образов. Статистические проблемы обучения.) Zbl 0284.68070
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
Ordered risk minimization. I. Zbl 0299.93050
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
Ordered risk minimization. II. Zbl 0304.93026
Vapnik, V. N.; Chervonenkis, A. Ya.
1974
On the uniform convergence of relative frequencies of events to their probabilities. Zbl 0247.60005
Vapnik, V. N.; Chervonenkis, A. Ya.
1971
Theory of uniform convergence of frequencies of events to their probabilities and problems of search for an optimal solution from empirical data. Zbl 0249.62031
Vapnik, V. N.; Chervonenkis, A. Ya.
1971
Uniform convergence of frequencies of occurence of events to their probabilities. Zbl 0247.60004
Vapnik, V. N.; Chervonenkis, A. Ya.
1968
Training von Maschinen zur Zeichenerkennung nach der Methode der verallgemeinerten Bildnisse. Zbl 0189.17001
Vapnik, V. N.; Lerner, A. J.; Chervonenkis, A. Ya.
1967
On a class of pattern recognition learning algorithms. Zbl 0137.10601
Vapnik, V. N.; Chervonenkis, A. Ya.
1965
On a class of perceptrons. Zbl 0173.19103
Vapnik, V. N.; Chervonenkis, A. J.
1964
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### Cited by 6,843 Authors

 28 Suykens, Johan A. K. 24 Anthony, Martin H. G. 21 Sugiyama, Masashi 21 Zhou, Dingxuan 20 Tian, Yingjie 18 Pardalos, Panos M. 18 Ratsaby, Joel 17 Li, Luoqing 16 Hwang, Changha 16 Sun, Hongwei 16 Trafalis, Theodore B. 16 Wu, Qiang 15 Carrizosa, Emilio 15 Chen, Dirong 15 Liu, Yufeng 13 Chung, Fu-Lai 13 Deng, Naiyang 13 Gnecco, Giorgio 13 Lugosi, Gábor 13 Mangasarian, Olvi L. 13 Sanguineti, Marcello 13 Shi, Yong 13 Tong, Hongzhi 13 Wang, Shitong 12 Chen, Hong 12 Christmann, Andreas 12 Gaudioso, Manlio 12 Kanamori, Takafumi 12 Zou, Bin 11 Alquier, Pierre 11 Devroye, Luc P. J. A. 11 Peng, Xinjun 11 Shao, Yuanhai 10 De Moor, Bart L. R. 10 Hanneke, Steve 10 Mohri, Mehryar 10 Príncipe, José Carlos 10 Xiang, Dao-Hong 10 Xu, Zongben 9 Astorino, Annabella 9 Bartlett, Peter L. 9 Dougherty, Edward R. 9 Ha, Minghu 9 Haussler, David 9 Matoušek, Jiří 9 Shim, Jooyong 9 Steinwart, Ingo 9 Takeda, Akiko 8 Biau, Gérard 8 Cao, Feilong 8 Chen, Songcan 8 Guarracino, Mario Rosario 8 Hu, Ting 8 Lin, Chih-Jen 8 Martin-Barragan, Belen 8 Schölkopf, Bernhard 8 Shawe-Taylor, John 8 Tsybakov, Alexandre B. 7 Bai, Yanqin 7 Balcan, Maria-Florina 7 Ben-David, Shai 7 Bertsimas, Dimitris John 7 Calafiore, Giuseppe Carlo 7 Campi, Marco Claudio 7 Chakraborty, Sounak 7 Cherkassky, Vladimir S. 7 García-Gonzalo, Esperanza 7 Kolchinskiĭ, Vladimir I’ich 7 Lai, Kinkeung 7 Lecué, Guillaume 7 Luo, Jian 7 Maldonado, Sebastián 7 Marron, James Stephen 7 Matías, José M. 7 Mendelson, Shahar 7 Nobel, Andrew B. 7 Pelckmans, Kristiaan 7 Pillonetto, Gianluigi 7 Sciandrone, Marco 7 Sheng, Baohuai 7 Suzuki, Taiji 7 Taboada, Javier 7 Tang, Yuanyan 7 Tao, Dacheng 7 Vapnik, Vladimir Naumovich 7 Vidyasagar, Mathukumalli 7 Wu, Yichao 7 Xu, Yuesheng 7 Zhang, Haizhang 7 Zhang, Li 7 Zhou, Weida 7 Zopounidis, Constantin 6 Anstee, Richard P. 6 Apolloni, Bruno 6 Artemiou, Andreas 6 Cawley, Gavin C. 6 Chandra, Suresh 6 Cortes, Corinna 6 Dabbene, Fabrizio 6 Hao, Peiyi ...and 6,743 more Authors
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### Cited in 464 Serials

 274 Pattern Recognition 147 Machine Learning 124 Neural Networks 110 Information Sciences 85 European Journal of Operational Research 83 Neural Computation 67 Computational Statistics and Data Analysis 62 Journal of Theoretical Biology 55 The Annals of Statistics 53 Theoretical Computer Science 50 Applied Mathematics and Computation 50 Mathematical Problems in Engineering 45 Discrete Applied Mathematics 41 Automatica 40 Journal of Machine Learning Research (JMLR) 37 Fuzzy Sets and Systems 36 Journal of Computer and System Sciences 33 Annals of Operations Research 33 Electronic Journal of Statistics 30 Computational Optimization and Applications 30 International Journal of Wavelets, Multiresolution and Information Processing 30 Computational & Mathematical Methods in Medicine 29 Discrete & Computational Geometry 28 Journal of Complexity 27 Statistics & Probability Letters 27 Soft Computing 26 Journal of Statistical Planning and Inference 26 Computers & Operations Research 25 Journal of Multivariate Analysis 25 Optimization Methods & Software 24 Cybernetics and Systems Analysis 24 Statistical Analysis and Data Mining 23 Automation and Remote Control 22 Computers & Mathematics with Applications 22 Journal of Computational and Applied Mathematics 21 Artificial Intelligence 21 Applied Mathematical Modelling 21 Advances in Data Analysis and Classification. ADAC 20 International Journal of Approximate Reasoning 20 Journal of Global Optimization 20 Advances in Computational Mathematics 20 Annals of Mathematics and Artificial Intelligence 19 Computational Statistics 18 Computer Methods in Applied Mechanics and Engineering 18 Journal of Optimization Theory and Applications 18 Signal Processing 18 Mathematical Programming. Series A. Series B 18 Applied and Computational Harmonic Analysis 18 Optimization Letters 17 Information and Computation 17 International Journal of Computer Vision 17 Journal of Applied Statistics 17 International Journal of Applied Mathematics and Computer Science 17 Computational Biology and Chemistry 16 Journal of Computational Physics 16 The Annals of Applied Statistics 15 Journal of the Franklin Institute 15 Communications in Statistics. Theory and Methods 15 International Journal of Computer Mathematics 15 Bernoulli 15 Data Mining and Knowledge Discovery 14 International Journal of General Systems 14 Information Processing Letters 14 Analysis and Applications (Singapore) 13 Statistical Science 13 Mathematical and Computer Modelling 13 Statistics and Computing 12 Discrete Mathematics 12 Journal of Combinatorial Theory. Series A 12 Journal of Classification 12 Quantitative Finance 12 Computational Management Science 11 Communications in Statistics. Simulation and Computation 11 Journal of Mathematical Imaging and Vision 11 Test 11 Journal of Systems Science and Complexity 10 International Journal of Systems Science 10 Journal of Approximation Theory 10 International Journal of Intelligent Systems 10 SIAM Journal on Optimization 10 PAA. Pattern Analysis and Applications 10 Journal of Zhejiang University. Science A 10 Journal of the Korean Statistical Society 9 Mathematical Biosciences 9 Chaos, Solitons and Fractals 9 Journal of the American Statistical Association 9 Combinatorica 9 Algorithmica 9 Wuhan University Journal of Natural Sciences (WUJNS) 9 Optimization and Engineering 9 Mathematical Biosciences and Engineering 9 Journal of Computational and Graphical Statistics 9 Journal of the Operations Research Society of China 8 Journal of Mathematical Analysis and Applications 8 Biometrics 8 Systems & Control Letters 8 Computational Geometry 8 Journal of Statistical Computation and Simulation 8 European Journal of Control 8 Journal of Industrial and Management Optimization ...and 364 more Serials
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### Cited in 55 Fields

 2,122 Computer science (68-XX) 1,439 Statistics (62-XX) 536 Operations research, mathematical programming (90-XX) 318 Biology and other natural sciences (92-XX) 300 Numerical analysis (65-XX) 189 Systems theory; control (93-XX) 176 Probability theory and stochastic processes (60-XX) 168 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 130 Information and communication theory, circuits (94-XX) 119 Combinatorics (05-XX) 74 Functional analysis (46-XX) 45 Approximations and expansions (41-XX) 44 Convex and discrete geometry (52-XX) 39 Mechanics of deformable solids (74-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 32 Mathematical logic and foundations (03-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Dynamical systems and ergodic theory (37-XX) 23 Geophysics (86-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 19 Partial differential equations (35-XX) 18 Operator theory (47-XX) 18 Fluid mechanics (76-XX) 14 Quantum theory (81-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Measure and integration (28-XX) 10 Ordinary differential equations (34-XX) 10 Optics, electromagnetic theory (78-XX) 9 Integral equations (45-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Number theory (11-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX)

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