Bernhard Schölkopf - Author Profile

Edit Profile

Schölkopf, Bernhard

Author ID:	scholkopf.bernhard
Published as:	Schölkopf, Bernhard; Schölkopf, B.
Homepage:	https://www.is.mpg.de/~bs
External Links:	MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Twitter · dblp · GND · IdRef

Documents Indexed:	83 Publications since 1997, including 2 Books and 12 Additional arXiv Preprints
	11 Contributions as Editor
Co-Authors:	173 Co-Authors with 90 Joint Publications
	2,077 Co-Co-Authors

all top 5

Co-Authors

4	single-authored
15	Smola, Alexander J.
10	Janzing, Dominik
9	Peters, Jonas
7	Gretton, Arthur
6	Bousquet, Olivier
5	Fukumizu, Kenji
5	Mooij, Joris M.
4	Muandet, Krikamol
4	Sriperumbudur, Bharath K.
4	Weston, Jason
4	Zhang, Kun
3	Eskin, Eleazar
3	Leslie, Christina
3	Platt, John C.
3	Rätsch, Gunnar
3	Stafford Noble, William
3	Williamson, Robert C.
2	Bauer, Stefan Alois
2	Besserve, Michel
2	Bühlmann, Peter
2	Bülthoff, Heinrich H.
2	Cesa-Bianchi, Nicolò
2	Della Vecchia, Riccardo
2	Franz, Matthias O.
2	Gomez-Rodriguez, Manuel
2	Harmeling, Stefan
2	Hein, Matthias
2	Herbrich, Ralf
2	Hill, N. Jeremy
2	Hofmann, Thomas
2	Jäkel, Frank
2	Lanckriet, Gert R. G.
2	Lu, Henry Horng-Shing
2	Mehrjou, Arash
2	Mordig, Maximilian
2	Pfister, Niklas
2	Shawe-Taylor, John
2	Simon-Gabriel, Carl-Johann
2	Song, Le
2	Steinke, Florian
2	Steudel, Bastian
2	von Luxburg, Ulrike
2	Wichmann, Felix A.
2	Zhao, Hongyu
2	Zscheischler, Jakob
1	Abraham, Louis
1	Amara, Adam
1	Babbar, Rohit
1	Bachem, Olivier
1	Bakır, Gökhan
1	Balan, Sreekumar T.
1	Balduzzi, David
1	Barp, Alessandro
1	Bartlett, Peter J.
1	Bécigneul, Gary
1	Bernstein, Gary
1	Bethge, Matthias
1	Birbaumer, Niels
1	Blake, Andrew
1	Bogdan, Martin
1	Borgwardt, Karsten M.
1	Boularias, Abdeslam
1	Bridle, Sarah
1	Buchholz, Simon
1	Burges, Christopher J. C.
1	Chalimourda, Athanassia
1	Chan, Laiwan
1	Chen, Pai-Hsuen
1	Chen, Zhitang
1	Courbin, Frederic
1	Daneshmand, Hadi
1	Daniušis, Povilas
1	De, Abir
1	Decoste, Dennis
1	Dinuzzo, Francesco
1	Elisseeff, André
1	Farquhar, Jason D. R.
1	Gelly, Sylvain
1	Gentile, Marc
1	Georgii, Elisabeth
1	Giese, Martin A.
1	Gill, Mandeep
1	Glymour, Clark
1	Graf, Arnulf B. A.
1	Grewe, Benjamin F.
1	Grosse-Wentrup, Moritz
1	Heavens, Alan F.
1	Heide, Felix
1	Heidrich, Wolfgang
1	Heymans, Catherine
1	Hinterberger, Thilo
1	Hogg, David W.
1	Hosseini, Reshad
1	Huang, Biwei
1	Iannelli, Andrea
1	Keurti, Hamza
1	Kevrekidis, George A.
1	Kiessling, Alina
1	Kirk, Donnacha
1	Kitching, Thomas D.
...and 73 more Co-Authors

all top 5

Serials

18	Journal of Machine Learning Research (JMLR)
5	Neural Computation
3	Machine Learning
2	Artificial Intelligence
2	IEEE Transactions on Information Theory
2	The Annals of Statistics
2	Journal of Mathematical Psychology
2	Oberwolfach Reports
2	Lecture Notes in Computer Science
2	Springer Handbooks of Computational Statistics
1	Biological Cybernetics
1	Annals of the Institute of Statistical Mathematics
1	Journal of Computer and System Sciences
1	Statistical Science
1	Algorithmica
1	Neural Networks
1	Pattern Recognition
1	Proceedings of the National Academy of Sciences of the United States of America
1	Journal of Computational Neuroscience
1	Journal of the Royal Statistical Society. Series B. Statistical Methodology
1	Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1	Applied Stochastic Models in Business and Industry
1	IEEE Transactions on Image Processing
1	EURASIP Journal on Applied Signal Processing
1	Berichte der Gesellschaft für Mathematik und Datenverarbeitung (GMD-Berichte)
1	Electronic Journal of Statistics
1	The Annals of Applied Statistics
1	SIAM Journal on Imaging Sciences
1	Foundations and Trends in Machine Learning
1	Statistics and Computing
1	Journal of Computational Dynamics
1	Adaptive Computation and Machine Learning

all top 5

Fields

55	Computer science (68-XX)
38	Statistics (62-XX)
11	Probability theory and stochastic processes (60-XX)
9	General and overarching topics; collections (00-XX)
7	Functional analysis (46-XX)
7	Biology and other natural sciences (92-XX)
6	Information and communication theory, circuits (94-XX)
5	Operations research, mathematical programming (90-XX)
4	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3	Systems theory; control (93-XX)
2	Mathematical logic and foundations (03-XX)
2	Combinatorics (05-XX)
2	General topology (54-XX)
1	Real functions (26-XX)
1	Measure and integration (28-XX)
1	Functions of a complex variable (30-XX)
1	Approximations and expansions (41-XX)
1	Operator theory (47-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Numerical analysis (65-XX)
1	Astronomy and astrophysics (85-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

72 Publications have been cited 2,346 times in 1,738 Documents	Cited by ▼	Year ▼
A kernel two-sample test. Zbl 1283.62095 Gretton, Arthur; Borgwardt, Karsten M.; Rasch, Malte J.; Schölkopf, Bernhard; Smola, Alexander	259	2012
Kernel methods in machine learning. Zbl 1151.30007 Hofmann, Thomas; Schölkopf, Bernhard; Smola, Alexander J.	185	2008
A generalized representer theorem. Zbl 0992.68088 Schölkopf, Bernhard; Herbrich, Ralf; Smola, Alex J.	171	2001
A short introduction to learning with kernels. Zbl 1019.68094 Schölkopf, Bernhard; Smola, Alexander J.	168	2003
Measuring statistical dependence with Hilbert-Schmidt norms. Zbl 1168.62354 Gretton, Arthur; Bousquet, Olivier; Smola, Alex; Schölkopf, Bernhard	141	2005
Estimating the support of a high-dimensional distribution. Zbl 1009.62029 Schölkopf, Bernhard; Platt, John C.; Shawe-Taylor, John; Smola, Alex J.; Williamson, Robert C.	141	2001
Hilbert space embeddings and metrics on probability measures. Zbl 1242.60005 Sriperumbudur, Bharath K.; Gretton, Arthur; Fukumizu, Kenji; Schölkopf, Bernhard; Lanckriet, Gert R. G.	113	2010
Use of the zero-norm with linear models and kernel methods. Zbl 1102.68605 Weston, Jason; Elisseeff, André; Schölkopf, Bernhard; Tipping, Mike	95	2003
A Hilbert space embedding for distributions. Zbl 1142.68407 Smola, Alex; Gretton, Arthur; Song, Le; Schölkopf, Bernhard	84	2007
Kernel mean embedding of distributions: a review and beyond. Zbl 1380.68336 Muandet, Krikamol; Fukumizu, Kenji; Sriperumbudur, Bharath; Schölkopf, Bernhard	64	2017
Large scale multiple kernel learning. Zbl 1222.90072 Sonnenburg, Sören; Rätsch, Gunnar; Schäfer, Christin; Schölkopf, Bernhard	63	2006
Advances in large-margin classifiers. Zbl 0988.68145	62	2000
Elements of causal inference. Foundations and learning algorithms. Zbl 1416.62012 Peters, Jonas; Janzing, Dominik; Schölkopf, Bernhard	61	2017
Advances in Kernel methods. Support vector learning. Zbl 0935.68084	59	1998
Kernel methods for measuring independence. Zbl 1222.68208 Gretton, Arthur; Herbrich, Ralf; Smola, Alexander; Bousquet, Olivier; Schölkopf, Bernhard	57	2005
Causal discovery with continuous additive noise models. Zbl 1318.68151 Peters, Jonas; Mooij, Joris M.; Janzing, Dominik; Schölkopf, Bernhard	57	2014
Kernel-based tests for joint independence. Zbl 1381.62105 Pfister, Niklas; Bühlmann, Peter; Schölkopf, Bernhard; Peters, Jonas	50	2018
Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators. Zbl 1008.62507 Williamson, Robert C.; Smola, Alex J.; Schölkopf, Bernhard	45	2001
Training invariant support vector machines. Zbl 0998.68102 Decoste, Dennis; Schölkopf, Bernhard	43	2002
On a kernel-based method for pattern recognition, regression, approximation, and operator inversion. Zbl 0910.68189 Smola, A. J.; Schölkopf, B.	39	1998
On the empirical estimation of integral probability metrics. Zbl 1295.62035 Sriperumbudur, Bharath K.; Fukumizu, Kenji; Gretton, Arthur; Schölkopf, Bernhard; Lanckriet, Gert R. G.	37	2012
Information-geometric approach to inferring causal directions. Zbl 1248.68490 Janzing, Dominik; Mooij, Joris; Zhang, Kun; Lemeire, Jan; Zscheischler, Jakob; Daniušis, Povilas; Steudel, Bastian; Schölkopf, Bernhard	23	2012
Distinguishing cause from effect using observational data: methods and benchmarks. Zbl 1360.68700 Mooij, Joris M.; Peters, Jonas; Janzing, Dominik; Zscheischler, Jakob; Schölkopf, Bernhard	23	2016
Kernel distribution embeddings: universal kernels, characteristic kernels and kernel metrics on distributions. Zbl 1467.62057 Simon-Gabriel, Carl-Johann; Schölkopf, Bernhard	18	2018
Nonparametric regression between general Riemannian manifolds. Zbl 1195.41011 Steinke, Florian; Hein, Matthias; Schölkopf, Bernhard	17	2010
Support vector learning. Zbl 0915.68137 Schölkopf, Bernhard	17	1997
A tutorial on \(\nu\)-support vector machines. Zbl 1097.93040 Chen, Pai-Hsuen; Lin, Chih-Jen; Schölkopf, Bernhard	15	2005
Quantifying causal influences. Zbl 1281.62030 Janzing, Dominik; Balduzzi, David; Grosse-Wentrup, Moritz; Schölkopf, Bernhard	14	2013
Causal inference using the algorithmic Markov condition. Zbl 1366.62020 Janzing, Dominik; Schölkopf, Bernhard	14	2010
Statistical learning theory: models, concepts, and results. Zbl 1267.68202 von Luxburg, Ulrike; Schölkopf, Bernhard	13	2011
A unifying view of Wiener and Volterra theory and polynomial kernel regression. Zbl 1127.94316 Franz, Matthias O.; Schölkopf, Bernhard	13	2006
Regularized principal manifolds. Zbl 1005.68137 Smola, Alexander J.; Mika, Sebastian; Schölkopf, Bernhard; Williamson, Robert C.	12	2001
Kernel mean shrinkage estimators. Zbl 1360.62134 Muandet, Krikamol; Sriperumbudur, Bharath; Fukumizu, Kenji; Gretton, Arthur; Schölkopf, Bernhard	12	2016
Invariant models for causal transfer learning. Zbl 1461.68196 Rojas-Carulla, Mateo; Schölkopf, Bernhard; Turner, Richard; Peters, Jonas	11	2018
Semi-supervised learning in causal and anticausal settings. Zbl 1330.68253 Schölkopf, Bernhard; Janzing, Dominik; Peters, Jonas; Sgouritsa, Eleni; Zhang, Kun; Mooij, Joris	10	2013
Experimentally optimal \(\nu\) in support vector regression for different noise models and parameter settings. Zbl 1072.68541 Chalimourda, Athanassia; Schölkopf, Bernhard; Smola, Alex J.	9	2004
A direct method for building sparse kernel learning algorithms. Zbl 1222.68335 Wu, Mingrui; Schölkopf, Bernhard; Bakır, Gökhan	8	2006
Bayesian kernel methods. Zbl 1019.68095 Smola, Alexander J.; Schölkopf, Bernhard	8	2003
Maximal margin classification for metric spaces. Zbl 1094.68084 Hein, Matthias; Bousquet, Olivier; Schölkopf, Bernhard	8	2005
Where did I take that snapshot? Scene-based homing by image matching. Zbl 0907.92037 Franz, Matthias O.; Schölkopf, Bernhard; Mallot, Hanspeter A.; Bülthoff, Heinrich H.	7	1998
Similarity, kernels, and the triangle inequality. Zbl 1152.91770 Jäkel, Frank; Schölkopf, Bernhard; Wichmann, Felix A.	6	2008
Causality for machine learning. Zbl 07672269 Schölkopf, Bernhard	6	2022
Data scarcity, robustness and extreme multi-label classification. Zbl 1493.68291 Babbar, Rohit; Schölkopf, Bernhard	6	2019
Causal relationships between frequency bands of extracellular signals in visual cortex revealed by an information theoretic analysis. Zbl 1446.92032 Besserve, Michel; Schölkopf, Bernhard; Logothetis, Nikos K.; Panzeri, Stefano	6	2010
A sober look at the unsupervised learning of disentangled representations and their evaluation. Zbl 1529.68261 Locatello, Francesco; Bauer, Stefan; Lucic, Mario; Raetsch, Gunnar; Gelly, Sylvain; Schölkopf, Bernhard; Bachem, Olivier	6	2020
A compression approach to support vector model selection. Zbl 1222.68327 Von Luxburg, Ulrike; Bousquet, Olivier; Schölkopf, Bernhard	5	2004
A tutorial on kernel methods for categorization. Zbl 1207.68242 Jäkel, Frank; Schölkopf, Bernhard; Wichmann, Felix A.	5	2007
Kernels, regularization and differential equations. Zbl 1154.68472 Steinke, Florian; Schölkopf, Bernhard	5	2008
Causal discovery via reproducing kernel Hilbert space embeddings. Zbl 1415.68166 Chen, Zhitang; Zhang, Kun; Chan, Laiwan; Schölkopf, Bernhard	5	2014
Causal discovery from heterogeneous/nonstationary data. Zbl 1502.68256 Huang, Biwei; Zhang, Kun; Zhang, Jiji; Ramsey, Joseph; Sanchez-Romero, Ruben; Glymour, Clark; Schölkopf, Bernhard	5	2020
Computing functions of random variables via reproducing kernel Hilbert space representations. Zbl 1331.62206 Schölkopf, Bernhard; Muandet, Krikamol; Fukumizu, Kenji; Harmeling, Stefan; Peters, Jonas	5	2015
Robustifying independent component analysis by adjusting for group-wise stationary noise. Zbl 1446.62172 Pfister, Niklas; Weichwald, Sebastian; Bühlmann, Peter; Schölkopf, Bernhard	4	2019
Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Zbl 1280.68040	3	2013
Advances in neural information processing systems 19. Proceedings of the 2006 conference, Vancouver, BC, Canada, December 4–6, 2006. Zbl 1157.68432	3	2007
Handbook of statistical bioinformatics. Zbl 1258.62001	3	2011
Multi-way set enumeration in weight tensors. Zbl 1237.68144 Georgii, Elisabeth; Tsuda, Koji; Schölkopf, Bernhard	3	2011
Statistical learning and kernel methods. Zbl 1001.68107 Schölkopf, Bernhard	3	2001
Dealing with large diagonals in kernel matrices. Zbl 1172.68584 Weston, Jason; Schölkopf, Bernhard; Eskin, Eleazar; Leslie, Christina; Noble, William Stafford	3	2003
Estimating diffusion networks: recovery conditions, sample complexity and soft-thresholding algorithm. Zbl 1369.60058 Gomez-Rodriguez, Manuel; Song, Le; Daneshmand, Hadi; Schölkopf, Bernhard	3	2016
Advances in neural information processing 18. Proceedings of the 2005 conference, Vancouver, Canada, December 2005. Zbl 1138.68499	2	2006
A kernel approach for learning from almost orthogonal patterns. Zbl 1020.68882 Schölkopf, Bernhard; Weston, Jason; Eskin, Eleazar; Leslie, Christina; Noble, William Stafford	2	2002
Prototype classification: Insights from machine learning. Zbl 1178.68414 Graf, Arnulf B. A.; Bousquet, Olivier; Rätsch, Gunnar; Schölkopf, Bernhard	1	2009
Gravitational lensing accuracy testing 2010 (GREAT10) challenge handbook. Zbl 1228.62164 Kitching, Thomas; Balan, Sreekumar; Bernstein, Gary; Bethge, Matthias; Bridle, Sarah; Courbin, Frederic; Gentile, Marc; Heavens, Alan; Hirsch, Michael; Hosseini, Reshad; Kiessling, Alina; Amara, Adam; Kirk, Donnacha; Kuijken, Konrad; Mandelbaum, Rachel; Moghaddam, Baback; Nurbaeva, Guldariya; Paulin-Henriksson, Stephane; Rassat, Anais; Rhodes, Jason; Schölkopf, Bernhard; Shawe-Taylor, John; Gill, Mandeep; Shmakova, Marina; Taylor, Andy; Velander, Malin; Van Waerbeke, Ludovic; Witherick, Dugan; Wittman, David; Harmeling, Stefan; Heymans, Catherine; Massey, Richard; Rowe, Barnaby; Schrabback, Tim; Voigt, Lisa	1	2011
Pattern recognition. 26th DAGM symposium, Tübingen, Germany, August 30–September 1, 2004. Proceedings. Zbl 1142.68304	1	2004
Robust EEG channel selection across subjects for brain-computer interfaces. Zbl 1095.92017 Schröder, Michael; Lal, Thomas Navin; Hinterberger, Thilo; Bogdan, Martin; Hill, N. Jeremy; Birbaumer, Niels; Rosenstiel, Wolfgang; Schölkopf, Bernhard	1	2005
Enhancing human learning via spaced repetition optimization. Zbl 1417.62340 Tabibian, Behzad; Upadhyay, Utkarsh; De, Abir; Zarezade, Ali; Schölkopf, Bernhard; Gomez-Rodriguez, Manuel	1	2019
Efficient face detection by a cascaded support-vector machine expansion. Zbl 1071.68546 Romdhani, Sami; Torr, Philip; Schölkopf, Bernhard; Blake, Andrew	1	2004
Learning theory and kernel machines. 16th annual conference on learning theory and 7th kernel workshop, COLT/Kernel 2003, Washington, DC, USA, August 24–27, 2003. Proceedings. Zbl 1026.00028	1	2003
A kernel approach for learning from almost orthogonal patterns. Zbl 1014.68129 Schölkopf, Bernhard; Weston, Jason; Eskin, Eleazar; Leslie, Christina; Stafford Noble, William	1	2002
Kernel methods for manifold estimation. Zbl 1170.62328 Schölkopf, Bernhard	1	2004
Semi-supervised interpolation in an anticausal learning scenario. Zbl 1351.68217 Janzing, Dominik; Schölkopf, Bernhard	1	2015
Anticipatory action selection for human-robot table tennis. Zbl 1420.68220 Wang, Zhikun; Boularias, Abdeslam; Mülling, Katharina; Schölkopf, Bernhard; Peters, Jan	1	2017
Causality for machine learning. Zbl 07672269 Schölkopf, Bernhard	6	2022
A sober look at the unsupervised learning of disentangled representations and their evaluation. Zbl 1529.68261 Locatello, Francesco; Bauer, Stefan; Lucic, Mario; Raetsch, Gunnar; Gelly, Sylvain; Schölkopf, Bernhard; Bachem, Olivier	6	2020
Causal discovery from heterogeneous/nonstationary data. Zbl 1502.68256 Huang, Biwei; Zhang, Kun; Zhang, Jiji; Ramsey, Joseph; Sanchez-Romero, Ruben; Glymour, Clark; Schölkopf, Bernhard	5	2020
Data scarcity, robustness and extreme multi-label classification. Zbl 1493.68291 Babbar, Rohit; Schölkopf, Bernhard	6	2019
Robustifying independent component analysis by adjusting for group-wise stationary noise. Zbl 1446.62172 Pfister, Niklas; Weichwald, Sebastian; Bühlmann, Peter; Schölkopf, Bernhard	4	2019
Enhancing human learning via spaced repetition optimization. Zbl 1417.62340 Tabibian, Behzad; Upadhyay, Utkarsh; De, Abir; Zarezade, Ali; Schölkopf, Bernhard; Gomez-Rodriguez, Manuel	1	2019
Kernel-based tests for joint independence. Zbl 1381.62105 Pfister, Niklas; Bühlmann, Peter; Schölkopf, Bernhard; Peters, Jonas	50	2018
Kernel distribution embeddings: universal kernels, characteristic kernels and kernel metrics on distributions. Zbl 1467.62057 Simon-Gabriel, Carl-Johann; Schölkopf, Bernhard	18	2018
Invariant models for causal transfer learning. Zbl 1461.68196 Rojas-Carulla, Mateo; Schölkopf, Bernhard; Turner, Richard; Peters, Jonas	11	2018
Kernel mean embedding of distributions: a review and beyond. Zbl 1380.68336 Muandet, Krikamol; Fukumizu, Kenji; Sriperumbudur, Bharath; Schölkopf, Bernhard	64	2017
Elements of causal inference. Foundations and learning algorithms. Zbl 1416.62012 Peters, Jonas; Janzing, Dominik; Schölkopf, Bernhard	61	2017
Anticipatory action selection for human-robot table tennis. Zbl 1420.68220 Wang, Zhikun; Boularias, Abdeslam; Mülling, Katharina; Schölkopf, Bernhard; Peters, Jan	1	2017
Distinguishing cause from effect using observational data: methods and benchmarks. Zbl 1360.68700 Mooij, Joris M.; Peters, Jonas; Janzing, Dominik; Zscheischler, Jakob; Schölkopf, Bernhard	23	2016
Kernel mean shrinkage estimators. Zbl 1360.62134 Muandet, Krikamol; Sriperumbudur, Bharath; Fukumizu, Kenji; Gretton, Arthur; Schölkopf, Bernhard	12	2016
Estimating diffusion networks: recovery conditions, sample complexity and soft-thresholding algorithm. Zbl 1369.60058 Gomez-Rodriguez, Manuel; Song, Le; Daneshmand, Hadi; Schölkopf, Bernhard	3	2016
Computing functions of random variables via reproducing kernel Hilbert space representations. Zbl 1331.62206 Schölkopf, Bernhard; Muandet, Krikamol; Fukumizu, Kenji; Harmeling, Stefan; Peters, Jonas	5	2015
Semi-supervised interpolation in an anticausal learning scenario. Zbl 1351.68217 Janzing, Dominik; Schölkopf, Bernhard	1	2015
Causal discovery with continuous additive noise models. Zbl 1318.68151 Peters, Jonas; Mooij, Joris M.; Janzing, Dominik; Schölkopf, Bernhard	57	2014
Causal discovery via reproducing kernel Hilbert space embeddings. Zbl 1415.68166 Chen, Zhitang; Zhang, Kun; Chan, Laiwan; Schölkopf, Bernhard	5	2014
Quantifying causal influences. Zbl 1281.62030 Janzing, Dominik; Balduzzi, David; Grosse-Wentrup, Moritz; Schölkopf, Bernhard	14	2013
Semi-supervised learning in causal and anticausal settings. Zbl 1330.68253 Schölkopf, Bernhard; Janzing, Dominik; Peters, Jonas; Sgouritsa, Eleni; Zhang, Kun; Mooij, Joris	10	2013
Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Zbl 1280.68040	3	2013
A kernel two-sample test. Zbl 1283.62095 Gretton, Arthur; Borgwardt, Karsten M.; Rasch, Malte J.; Schölkopf, Bernhard; Smola, Alexander	259	2012
On the empirical estimation of integral probability metrics. Zbl 1295.62035 Sriperumbudur, Bharath K.; Fukumizu, Kenji; Gretton, Arthur; Schölkopf, Bernhard; Lanckriet, Gert R. G.	37	2012
Information-geometric approach to inferring causal directions. Zbl 1248.68490 Janzing, Dominik; Mooij, Joris; Zhang, Kun; Lemeire, Jan; Zscheischler, Jakob; Daniušis, Povilas; Steudel, Bastian; Schölkopf, Bernhard	23	2012
Statistical learning theory: models, concepts, and results. Zbl 1267.68202 von Luxburg, Ulrike; Schölkopf, Bernhard	13	2011
Handbook of statistical bioinformatics. Zbl 1258.62001	3	2011
Multi-way set enumeration in weight tensors. Zbl 1237.68144 Georgii, Elisabeth; Tsuda, Koji; Schölkopf, Bernhard	3	2011
Gravitational lensing accuracy testing 2010 (GREAT10) challenge handbook. Zbl 1228.62164 Kitching, Thomas; Balan, Sreekumar; Bernstein, Gary; Bethge, Matthias; Bridle, Sarah; Courbin, Frederic; Gentile, Marc; Heavens, Alan; Hirsch, Michael; Hosseini, Reshad; Kiessling, Alina; Amara, Adam; Kirk, Donnacha; Kuijken, Konrad; Mandelbaum, Rachel; Moghaddam, Baback; Nurbaeva, Guldariya; Paulin-Henriksson, Stephane; Rassat, Anais; Rhodes, Jason; Schölkopf, Bernhard; Shawe-Taylor, John; Gill, Mandeep; Shmakova, Marina; Taylor, Andy; Velander, Malin; Van Waerbeke, Ludovic; Witherick, Dugan; Wittman, David; Harmeling, Stefan; Heymans, Catherine; Massey, Richard; Rowe, Barnaby; Schrabback, Tim; Voigt, Lisa	1	2011
Hilbert space embeddings and metrics on probability measures. Zbl 1242.60005 Sriperumbudur, Bharath K.; Gretton, Arthur; Fukumizu, Kenji; Schölkopf, Bernhard; Lanckriet, Gert R. G.	113	2010
Nonparametric regression between general Riemannian manifolds. Zbl 1195.41011 Steinke, Florian; Hein, Matthias; Schölkopf, Bernhard	17	2010
Causal inference using the algorithmic Markov condition. Zbl 1366.62020 Janzing, Dominik; Schölkopf, Bernhard	14	2010
Causal relationships between frequency bands of extracellular signals in visual cortex revealed by an information theoretic analysis. Zbl 1446.92032 Besserve, Michel; Schölkopf, Bernhard; Logothetis, Nikos K.; Panzeri, Stefano	6	2010
Prototype classification: Insights from machine learning. Zbl 1178.68414 Graf, Arnulf B. A.; Bousquet, Olivier; Rätsch, Gunnar; Schölkopf, Bernhard	1	2009
Kernel methods in machine learning. Zbl 1151.30007 Hofmann, Thomas; Schölkopf, Bernhard; Smola, Alexander J.	185	2008
Similarity, kernels, and the triangle inequality. Zbl 1152.91770 Jäkel, Frank; Schölkopf, Bernhard; Wichmann, Felix A.	6	2008
Kernels, regularization and differential equations. Zbl 1154.68472 Steinke, Florian; Schölkopf, Bernhard	5	2008
A Hilbert space embedding for distributions. Zbl 1142.68407 Smola, Alex; Gretton, Arthur; Song, Le; Schölkopf, Bernhard	84	2007
A tutorial on kernel methods for categorization. Zbl 1207.68242 Jäkel, Frank; Schölkopf, Bernhard; Wichmann, Felix A.	5	2007
Advances in neural information processing systems 19. Proceedings of the 2006 conference, Vancouver, BC, Canada, December 4–6, 2006. Zbl 1157.68432	3	2007
Large scale multiple kernel learning. Zbl 1222.90072 Sonnenburg, Sören; Rätsch, Gunnar; Schäfer, Christin; Schölkopf, Bernhard	63	2006
A unifying view of Wiener and Volterra theory and polynomial kernel regression. Zbl 1127.94316 Franz, Matthias O.; Schölkopf, Bernhard	13	2006
A direct method for building sparse kernel learning algorithms. Zbl 1222.68335 Wu, Mingrui; Schölkopf, Bernhard; Bakır, Gökhan	8	2006
Advances in neural information processing 18. Proceedings of the 2005 conference, Vancouver, Canada, December 2005. Zbl 1138.68499	2	2006
Measuring statistical dependence with Hilbert-Schmidt norms. Zbl 1168.62354 Gretton, Arthur; Bousquet, Olivier; Smola, Alex; Schölkopf, Bernhard	141	2005
Kernel methods for measuring independence. Zbl 1222.68208 Gretton, Arthur; Herbrich, Ralf; Smola, Alexander; Bousquet, Olivier; Schölkopf, Bernhard	57	2005
A tutorial on \(\nu\)-support vector machines. Zbl 1097.93040 Chen, Pai-Hsuen; Lin, Chih-Jen; Schölkopf, Bernhard	15	2005
Maximal margin classification for metric spaces. Zbl 1094.68084 Hein, Matthias; Bousquet, Olivier; Schölkopf, Bernhard	8	2005
Robust EEG channel selection across subjects for brain-computer interfaces. Zbl 1095.92017 Schröder, Michael; Lal, Thomas Navin; Hinterberger, Thilo; Bogdan, Martin; Hill, N. Jeremy; Birbaumer, Niels; Rosenstiel, Wolfgang; Schölkopf, Bernhard	1	2005
Experimentally optimal \(\nu\) in support vector regression for different noise models and parameter settings. Zbl 1072.68541 Chalimourda, Athanassia; Schölkopf, Bernhard; Smola, Alex J.	9	2004
A compression approach to support vector model selection. Zbl 1222.68327 Von Luxburg, Ulrike; Bousquet, Olivier; Schölkopf, Bernhard	5	2004
Pattern recognition. 26th DAGM symposium, Tübingen, Germany, August 30–September 1, 2004. Proceedings. Zbl 1142.68304	1	2004
Efficient face detection by a cascaded support-vector machine expansion. Zbl 1071.68546 Romdhani, Sami; Torr, Philip; Schölkopf, Bernhard; Blake, Andrew	1	2004
Kernel methods for manifold estimation. Zbl 1170.62328 Schölkopf, Bernhard	1	2004
A short introduction to learning with kernels. Zbl 1019.68094 Schölkopf, Bernhard; Smola, Alexander J.	168	2003
Use of the zero-norm with linear models and kernel methods. Zbl 1102.68605 Weston, Jason; Elisseeff, André; Schölkopf, Bernhard; Tipping, Mike	95	2003
Bayesian kernel methods. Zbl 1019.68095 Smola, Alexander J.; Schölkopf, Bernhard	8	2003
Dealing with large diagonals in kernel matrices. Zbl 1172.68584 Weston, Jason; Schölkopf, Bernhard; Eskin, Eleazar; Leslie, Christina; Noble, William Stafford	3	2003
Learning theory and kernel machines. 16th annual conference on learning theory and 7th kernel workshop, COLT/Kernel 2003, Washington, DC, USA, August 24–27, 2003. Proceedings. Zbl 1026.00028	1	2003
Training invariant support vector machines. Zbl 0998.68102 Decoste, Dennis; Schölkopf, Bernhard	43	2002
A kernel approach for learning from almost orthogonal patterns. Zbl 1020.68882 Schölkopf, Bernhard; Weston, Jason; Eskin, Eleazar; Leslie, Christina; Noble, William Stafford	2	2002
A kernel approach for learning from almost orthogonal patterns. Zbl 1014.68129 Schölkopf, Bernhard; Weston, Jason; Eskin, Eleazar; Leslie, Christina; Stafford Noble, William	1	2002
A generalized representer theorem. Zbl 0992.68088 Schölkopf, Bernhard; Herbrich, Ralf; Smola, Alex J.	171	2001
Estimating the support of a high-dimensional distribution. Zbl 1009.62029 Schölkopf, Bernhard; Platt, John C.; Shawe-Taylor, John; Smola, Alex J.; Williamson, Robert C.	141	2001
Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators. Zbl 1008.62507 Williamson, Robert C.; Smola, Alex J.; Schölkopf, Bernhard	45	2001
Regularized principal manifolds. Zbl 1005.68137 Smola, Alexander J.; Mika, Sebastian; Schölkopf, Bernhard; Williamson, Robert C.	12	2001
Statistical learning and kernel methods. Zbl 1001.68107 Schölkopf, Bernhard	3	2001
Advances in large-margin classifiers. Zbl 0988.68145	62	2000
Advances in Kernel methods. Support vector learning. Zbl 0935.68084	59	1998
On a kernel-based method for pattern recognition, regression, approximation, and operator inversion. Zbl 0910.68189 Smola, A. J.; Schölkopf, B.	39	1998
Where did I take that snapshot? Scene-based homing by image matching. Zbl 0907.92037 Franz, Matthias O.; Schölkopf, Bernhard; Mallot, Hanspeter A.; Bülthoff, Heinrich H.	7	1998
Support vector learning. Zbl 0915.68137 Schölkopf, Bernhard	17	1997

all cited Publications top 5 cited Publications

all top 5

Cited by 3,793 Authors

21	Schölkopf, Bernhard
17	Bühlmann, Peter
15	Sugiyama, Masashi
14	Fukumizu, Kenji
14	Suykens, Johan A. K.
13	Peters, Jonas
12	Pillonetto, Gianluigi
11	Gretton, Arthur
10	Oates, Chris J.
10	Sriperumbudur, Bharath K.
9	Gaudioso, Manlio
9	Ghosh, Anil Kumar
8	Anthony, Martin H. G.
8	Blanchard, Gilles
8	Jørgensen, Palle E. T.
8	Xu, Yuesheng
8	Yamada, Makoto
7	Carrizosa, Emilio
7	Chung, Fu-Lai
7	Kim, Ilmun
7	Le Thi, Hoai An
7	Owhadi, Houman
7	Park, Gunwoong
7	Príncipe, José Carlos
7	Ratsaby, Joel
7	Sejdinovic, Dino
7	Steinwart, Ingo
7	Suzuki, Taiji
7	Unser, Michael A.
7	Wang, Shitong
7	Zhang, Haizhang
6	Chan, Laiwan
6	Chen, Dirong
6	De Nicolao, Giuseppe
6	Drton, Mathias
6	Hamzi, Boumediene
6	Kanagawa, Motonobu
6	Kanamori, Takafumi
6	Meintanis, Simos George
6	Pham Dinh Tao
6	Pronzato, Luc
6	Takeda, Akiko
6	Tian, Yingjie
6	Wang, Rui
6	Xiang, Dao-Hong
5	Astorino, Annabella
5	Briol, François-Xavier
5	Hashimoto, Yuka
5	Lapucci, Matteo
5	Mangasarian, Olvi L.
5	Meinshausen, Nicolai
5	Müller, Hans-Georg
5	Muñoz, Alberto
5	Nkiet, Guy Martial
5	Paterlini, Sandra
5	Pfister, Niklas
5	Rinaldi, Francesco
5	Rosasco, Lorenzo A.
5	Roy, Angshuman
5	Schnörr, Christoph
5	Tuo, Rui
5	Zhang, Kun
5	Zhigljavsky, Anatoly A.
5	Zhu, Lixing
4	Aziznejad, Shayan
4	Bachoc, François
4	Bousquet, Olivier
4	Cao, Feilong
4	Chen, Yunmei
4	Chen, Zhitang
4	Christmann, Andreas
4	Girolami, Mark A.
4	Giuzio, Margherita
4	Goldberg, Yair
4	Gorgone, Enrico
4	Griebel, Michael
4	Guella, Jean Carlo
4	Haasdonk, Bernard
4	Han, Fang
4	Hwang, Changha
4	Ikeda, Masahiro
4	Izbicki, Rafael
4	Janzing, Dominik
4	Jordan, Michael Irwin
4	Kawahara, Yoshinobu
4	Klus, Stefan
4	Kwok, James T.
4	Lin, Shaobo
4	Lin, Zhenhua
4	Liu, Yufeng
4	Loubes, Jean-Michel
4	Muandet, Krikamol
4	Neumann, Gerhard
4	Pahikkala, Tapio
4	Peng, Liuhua
4	Phillips, Jeff M.
4	Sanguineti, Marcello
4	Sarkar, Soham
4	Sciandrone, Marco
4	Shen, Cencheng
...and 3,693 more Authors

all top 5

Cited in 339 Serials

110	Machine Learning
72	Journal of Machine Learning Research (JMLR)
67	Pattern Recognition
60	The Annals of Statistics
53	Neural Networks
50	Information Sciences
44	Neural Computation
36	Electronic Journal of Statistics
33	Computational Statistics and Data Analysis
31	Journal of Multivariate Analysis
30	Journal of the American Statistical Association
30	Statistics and Computing
25	Automatica
24	European Journal of Operational Research
22	Bernoulli
21	The Annals of Applied Statistics
18	Statistical Science
18	Data Mining and Knowledge Discovery
16	Statistical Analysis and Data Mining
14	Journal of Computational Physics
14	Communications in Statistics. Simulation and Computation
14	Chaos
13	Artificial Intelligence
13	SIAM/ASA Journal on Uncertainty Quantification
12	International Journal of Approximate Reasoning
12	Mathematical Problems in Engineering
11	Journal of Computational and Applied Mathematics
11	Journal of Global Optimization
11	SIAM Journal on Mathematics of Data Science
11	Stat
10	Computer Methods in Applied Mechanics and Engineering
10	Journal of Optimization Theory and Applications
10	Theoretical Computer Science
10	Journal of Complexity
10	Computational Statistics
10	Computational Optimization and Applications
10	Applied and Computational Harmonic Analysis
10	Statistica Sinica
9	Annals of the Institute of Statistical Mathematics
9	Journal of Statistical Planning and Inference
9	Statistics & Probability Letters
9	Annals of Operations Research
9	Advances in Data Analysis and Classification. ADAC
9	Journal of Computational and Graphical Statistics
8	Biological Cybernetics
8	Biometrics
8	Journal of Scientific Computing
8	Signal Processing
8	Journal of Mathematical Imaging and Vision
8	International Journal of Computer Vision
8	Advances in Computational Mathematics
8	Journal of Applied Statistics
8	Journal of the Korean Statistical Society
7	Physica A
7	Journal of Econometrics
7	Journal of Mathematical Psychology
7	Journal of Statistical Computation and Simulation
7	Journal of Nonparametric Statistics
7	Optimization Methods & Software
7	Analysis and Applications (Singapore)
7	Computational Management Science
6	Inverse Problems
6	Journal of Mathematical Analysis and Applications
6	Applied Mathematics and Computation
6	Fuzzy Sets and Systems
6	Physica D
6	Computers & Operations Research
6	SIAM Journal on Scientific Computing
6	Statistical Papers
6	International Journal of Applied Mathematics and Computer Science
6	Quantitative Finance
6	Foundations of Computational Mathematics
5	Computers & Mathematics with Applications
5	Discrete Applied Mathematics
5	Scandinavian Journal of Statistics
5	SIAM Journal on Matrix Analysis and Applications
5	Communications in Statistics. Theory and Methods
5	Mathematical Programming. Series A. Series B
5	Top
5	Annals of Mathematics and Artificial Intelligence
5	Soft Computing
5	Wiley Interdisciplinary Reviews. WIREs Computational Statistics
4	Journal of Approximation Theory
4	Statistics
4	Journal of Computational Neuroscience
4	Nonlinear Dynamics
4	Multiscale Modeling & Simulation
4	Computational & Mathematical Methods in Medicine
4	Journal of Physics A: Mathematical and Theoretical
4	Mathematical Geosciences
4	Japanese Journal of Statistics and Data Science
3	Journal of the Franklin Institute
3	Physics Letters. A
3	Journal of Computer and System Sciences
3	Journal of Time Series Analysis
3	Journal of Theoretical Probability
3	Japan Journal of Industrial and Applied Mathematics
3	SIAM Journal on Optimization
3	Journal of Nonlinear Science
3	Journal of Mathematical Sciences (New York)
...and 239 more Serials

all top 5

Cited in 49 Fields

988	Statistics (62-XX)
838	Computer science (68-XX)
181	Operations research, mathematical programming (90-XX)
172	Numerical analysis (65-XX)
126	Functional analysis (46-XX)
114	Probability theory and stochastic processes (60-XX)
65	Biology and other natural sciences (92-XX)
63	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
59	Systems theory; control (93-XX)
48	Information and communication theory, circuits (94-XX)
42	Calculus of variations and optimal control; optimization (49-XX)
36	Operator theory (47-XX)
33	Dynamical systems and ergodic theory (37-XX)
32	Approximations and expansions (41-XX)
26	Harmonic analysis on Euclidean spaces (42-XX)
23	Combinatorics (05-XX)
23	Quantum theory (81-XX)
20	Geophysics (86-XX)
17	Linear and multilinear algebra; matrix theory (15-XX)
16	Partial differential equations (35-XX)
16	Mechanics of deformable solids (74-XX)
11	Differential geometry (53-XX)
11	Statistical mechanics, structure of matter (82-XX)
9	Fluid mechanics (76-XX)
7	Ordinary differential equations (34-XX)
6	Measure and integration (28-XX)
6	Convex and discrete geometry (52-XX)
6	Mechanics of particles and systems (70-XX)
5	Functions of a complex variable (30-XX)
5	Algebraic topology (55-XX)
4	General and overarching topics; collections (00-XX)
4	Mathematical logic and foundations (03-XX)
4	Abstract harmonic analysis (43-XX)
4	Integral equations (45-XX)
4	Astronomy and astrophysics (85-XX)
3	History and biography (01-XX)
3	Real functions (26-XX)
3	Potential theory (31-XX)
3	Integral transforms, operational calculus (44-XX)
3	Global analysis, analysis on manifolds (58-XX)
3	Optics, electromagnetic theory (78-XX)
2	Commutative algebra (13-XX)
2	Algebraic geometry (14-XX)
1	Category theory; homological algebra (18-XX)
1	Group theory and generalizations (20-XX)
1	Topological groups, Lie groups (22-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Special functions (33-XX)
1	General topology (54-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.