Prof. Dr. Bernhard Schölkopf

Address: Spemannstr. 38
72076 Tübingen
Room number: 211
Phone: +49 7071 601 551
Fax: +49 7071 601 552
E-Mail: bernhard.schoelkopf
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Picture of Schölkopf, Bernhard, Prof. Dr.

Bernhard Schölkopf

Position: Director  Unit: Schölkopf

My scientific interests are in the field of inference from empirical data, in particular machine learning and perception ( Department of Empirical Inference). In particular, I study kernel methods for extracting regularities from possibly high-dimensional data. These regularities are usually statistical ones, however, in recent years I have also become interested in methods for finding causal regularities.

To learn more about our work, you may want to take a look at the Department Overview.

Many of the papers can downloaded if you click on the tab "publications;" the older ones usually from A starting point is the first chapter of our book Learning with Kernels, available online. If your interest in machine learning is a mathematical one, you might prefer our review paper in the Annals of Statistics (arXiv link). For a general audience, I wrote a short high-level introduction in German that appeared in the Jahrbuch of the Max Planck Society.


Click here for a photograph of a beautiful northern light, which I took a few years ago from the plane on the way home from NIPS.


If you'd like to contact me, please consider these two notes:

1. I just became co-editor-in-chief of JMLR. I work for JMLR because I believe in its open access model, but it takes a lot of time. During my JMLR term, please don't convince me to do other journal or grant reviewing duties.

2. I am not very organized with my e-mail -- so if you want to apply for a position in my lab, please send your application only to Note that we do not respond to non-personalized applications that look like they are being sent to a large number of places simultaneously.

We currently have openings for PhD students in a joint program with Cambridge. If you are interested in this, check out Zoubin's recent posting on ml-worldwide (the deadline is early December).

Independently of this, we are always happy to receive outstanding applications for PhD positions and postdocs. In particular, we are looking for PhD students with interests in general machine learning (including kernel methods and causal inference) or computational imaging (photography, astronomy, MR).

  • M.Sc. in mathematics and Lionel Cooper Memorial Prize, University of London (1992)
  • Diplom in physics (Tübingen, 1994)
  • doctorate in computer science from the Technical University Berlin (1997); thesis on Support Vector Learning (main advisor: V. Vapnik, AT&T Bell Labs) won the annual dissertation prize of the German Association for Computer Science (GI)
  • scientific member of the Max Planck Society, 2001
  • awards won by his lab
  • J. K. Aggarwal Prize of the International Association for Pattern Recognition, 2006
  • Max Planck Research Award, 2011
  • Academy Prize 2012 of the Berlin-Brandenburg Academy of Sciences and Humanities
  • Honorarprofessor at the Technical University Berlin (computer science) and at the Eberhard-Karls University Tübingen (physics)
  • "highly cited" (added in 2010)
  • co-editor-in-chief of JMLR
  • board member, ACM Books
  • member of the boards of the NIPS foundation and of the International Machine Learning Society
  • PC member (e.g., NIPS, COLT, ICML, UAI, DAGM, CVPR, Snowbird Learning Workshop) and  co-chair of various conferences (COLT'03, DAGM'04, NIPS'05, NIPS'06 and the first two kernel workshops).
  • co-founder of the Machine Learning Summer Schools
  • two-page CV: PDF.

References per page: Year: Medium:

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Books (8):

Lu HH-S , Schölkopf B Person and Zhao H : Handbook of Statistical Bioinformatics, 627, Springer, Berlin, Germany, (2011). ISBN: 978-3-642-16344-9
Bakir GH Person, Hofmann T Person, Schölkopf B Person, Smola AJ , Taskar B and Vishwanathan SVN : Predicting Structured Data, 360 pages, MIT Press, Cambridge, MA, USA, (2007).
Chapelle O Person, Schölkopf B Person and Zien A Person: Semi-Supervised Learning, 508 pages, MIT Press, Cambridge, MA, USA, (2006).
Schölkopf B Person, Tsuda K Person and Vert J-P : Kernel Methods in Computational Biology, 410 pages, MIT Press, Cambridge, MA, USA, (2004).
Schölkopf B Person and Smola AJ : Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond, 644 pages, MIT Press, Cambridge, MA, USA, (2002).
Smola AJ , Bartlett PJ , Schölkopf B Person and Schuurmans D : Advances in Large Margin Classifiers, 422 pages, MIT Press, Cambridge, MA, USA, (2000).
Schölkopf B Person, Burges CJC and Smola AJ : Advances in Kernel Methods - Support Vector Learning, MIT Press, Cambridge, MA, (1999).
Schölkopf B Person: Support vector learning, 173 pages, Oldenbourg, München, Germany, (1997). ISBN: 3-486-24632-1

Proceedings (6):

Guyon I , Janzing D Person and Schölkopf B Person: JMLR Workshop and Conference Proceedings: Volume 6, Causality: Objectives and Assessment (NIPS 2008 Workshop), 288, MIT Press, Cambridge, MA, USA, (2010).

Schölkopf B Person, Platt J and Hofmann T Person: Advances in Neural Information Processing Systems 19: Proceedings of the 2006 Conference, 20th Annual Conference on Neural Information Processing Systems (NIPS 2006), 1690 pages, MIT Press, Cambridge, MA, USA, (2007).

Weiss Y , Schölkopf B Person and Platt J : Advances in Neural Information Processing Systems 18: Proceedings of the 2005 Conference, 19th Annual Conference on Neural Information Processing Systems (NIPS 2005), 1676 pages, MIT Press, Cambridge, MA, USA, (2006).

Rasmussen CE Person, Bülthoff HH Person, Giese MA Person and Schölkopf B Person: Pattern Recognition: 26th DAGM Symposium, LNCS, Vol. 3175, 26th Pattern Recognition Symposium, 581 pages, Springer, Berlin, Germany, (2004).

Thrun S , Saul LK and Schölkopf B Person: Advances in Neural Information Processing Systems 16: Proceedings of the 2003 Conference, 17th Annual Conference on Neural Information Processing Systems (NIPS 2003), 1621 pages, MIT Press, Cambridge, MA, USA, (2004).

Schölkopf B Person and Warmuth MK : Learning Theory and Kernel Machines: 16th Annual Conference on Learning Theory and 7th Kernel Workshop (COLT/Kernel 2003), LNCS Vol. 2777, 16th Annual Conference on Learning Theory and 7th Kernel Workshop, 746 pages, Springer, Berlin, Germany, (2003).


Articles (116):

Grosse-Wentrup M Person and Schölkopf B Person (2014) A Brain-Computer Interface Based on Self-Regulation of Gamma-Oscillations in the Superior Parietal Cortex Journal of Neural Engineering 11(5) 056015.
Zscheischler J Person, Mahecha MD , v Buttlar J , Harmeling S Person, Jung M , Rammig A , Randerson JT , Schölkopf B Person, Seneviratne SI , Tomelleri E , Zaehle S and Reichstein M (2014) A few extreme events dominate global interannual variability in gross primary production Environmental Research Letters 9(3) 035001.
Meyer T Person, Peters J Person, Zander TO Person, Schölkopf B Person and Grosse-Wentrup M Person (2014) Predicting Motor Learning Performance from Electroencephalographic Data Journal of NeuroEngineering and Rehabilitation 11:24.
Chen Z Person, Zhang K Person, Chan L and Schölkopf B Person (2014) Causal discovery via reproducing kernel Hilbert space embeddings Neural Computation . accepted
Mülling K Person, Boularias A Person, Mohler B Person, Schölkopf B Person and Peters J Person (2014) Learning Strategies in Table Tennis using Inverse Reinforcement Learning Biological Cybernetics . accepted
Gomez Rodriguez M Person, Leskovec J , Balduzzi D Person and Schölkopf B Person (2014) Uncovering the Structure and Temporal Dynamics of Information Propagation Network Science . accepted
Loktyushin A Person, Nickisch H Person, Pohmann R Person and Schölkopf B Person (2013) Blind Retrospective Motion Correction of MR Images Magnetic Resonance in Medicine (MRM) 70(6) 1608–1618.
Schultz T Person, Schlaffke L , Schölkopf B Person and Schmidt-Wilcke T (2013) HiFiVE: A Hilbert Space Embedding of Fiber Variability Estimates for Uncertainty Modeling and Visualization Computer Graphics Forum 32(3) 121--130.
Bezrukov I Person, Schmidt H , Mantlik F Person, Schwenzer N , Brendle C , Schölkopf B Person and Pichler BJ (2013) MR-based Attenuation Correction Methods for Improved PET Quantification in Lesions within Bone and Susceptibility Artifact Regions Journal of Nuclear Medicine 54(10) 1768-1774.
Wang Z Person, Mülling K Person, Deisenroth M Person, Ben Amor H , Vogt D , Schölkopf B Person and Peters J Person (2013) Probabilistic movement modeling for intention inference in human-robot interaction International Journal of Robotics Research 32(7) 841-858.
Janzing D Person, Balduzzi D Person, Grosse-Wentrup M Person and Schölkopf B Person (2013) Quantifying causal influences Annals of Statistics 41(5) 2324-2358.
Wang Z Person, Boularias A Person, Mülling K Person, Schölkopf B Person and Peters J Person (2013) Anticipatory Action Selection for Human-Robot Table Tennis . submitted
Wang Z Person, Deisenroth M Person, Zhang K Person, Boularias A Person, Schölkopf B Person and Peters J Person (2013) Hierarchical Gaussian Process Dynamics Models for Human Movement Analysis . submitted
Kam-Thong T Person, Azencott C-A Person, Cayton L Person, Pütz B , Altmann A , Karbalai N , Sämann PG , Schölkopf B Person, Müller-Myhsok B and Borgwardt KM Person (2012) GLIDE: GPU-Based Linear Regression for Detection of Epistasis Human Heredity 73(4) 220-236.
Grosse-Wentrup M Person and Schölkopf B Person (2012) High gamma-power predicts performance in sensorimotor-rhythm brain-computer interfaces Journal of Neural Engineering 9(4) 8 pages.
Janzing D Person, Mooij J Person, Zhang K Person, Lemeire J , Zscheischler J Person, Daniušis P Person, Steudel B Person and Schölkopf B Person (2012) Information-geometric approach to inferring causal directions Artificial Intelligence 182-183 1-31.
Gretton A Person, Borgwardt K Person, Rasch M Person, Schölkopf B Person and Smola A Person (2012) A Kernel Two-Sample Test Journal of Machine Learning Research 13 723−773.
Hill NJ Person and Schölkopf B Person (2012) An online brain–computer interface based on shifting attention to concurrent streams of auditory stimuli Journal of Neural Engineering 9(2) 13 pages.
Bezrukov I Person, Mantlik F Person, Schmidt H , Schölkopf B Person and Pichler BJ (2012) MR-based PET Attenuation Correction for PET/MR Imaging Seminars in Nuclear Medicine 43(1) 45-59.
Sriperumbudur B Person, Fukumizu K Person, Gretton A Person, Schölkopf B Person and Lanckriet G (2012) On the Empirical Estimation of Integral Probability Metrics Electronic Journal of Statistics 6 1550-1599.
Peters J Person, Janzing D Person and Schölkopf B Person (2011) Causal Inference on Discrete Data using Additive Noise Models IEEE Transactions on Pattern Analysis and Machine Intelligence 33(12) 2436-2450.
Kitching T , Amara A , Gill M , Harmeling S Person, Heymans C , Massey R , Rowe B , Schrabback T , Voigt L , Balan S , Bernstein G , Bethge M Person, Bridle S , Courbin F , Gentile M , Heavens A , Hirsch M Person, Hosseini R Person, Kiessling A , Kirk D , Kuijken K , Mandelbaum R , Moghaddam B , Nurbaeva G , Paulin-Henriksson S , Rassat A , Rhodes J , Schölkopf B Person, Shawe-Taylor J , Shmakova M , Taylor A , Velander M , van Waerbeke L , Witherick D and Wittman D (2011) Gravitational Lensing Accuracy Testing 2010 (GREAT10) Challenge Handbook Annals of Applied Statistics 5(3) 2231-2263.
Hofmann M Person, Bezrukov I Person, Mantlik F Person, Aschoff P , Steinke F Person, Beyer T , Pichler BJ and Schölkopf B Person (2011) MRI-Based Attenuation Correction for Whole-Body PET/MRI: Quantitative Evaluation of Segmentation- and Atlas-Based Methods Journal of Nuclear Medicine 52(9) 1392-1399.
Schölkopf B Person (2011) Empirical Inference International Journal of Materials Research 2011(7) 809-814.
Hirsch M Person, Harmeling S Person, Sra S Person and Schölkopf B Person (2011) Online Multi-frame Blind Deconvolution with Super-resolution and Saturation Correction Astronomy & Astrophysics 531(A9) 11 pages.
Gomez Rodriguez M Person, Peters J Person, Hill J Person, Schölkopf B Person, Gharabaghi A and Grosse-Wentrup M Person (2011) Closing the sensorimotor loop: haptic feedback facilitates decoding of motor imagery Journal of Neural Engineering 8(3) 1-12.
Grosse-Wentrup M Person, Schölkopf B Person and Hill J Person (2011) Causal Influence of Gamma Oscillations on the Sensorimotor Rhythm NeuroImage 56(2) 837-842.
Mantlik F Person, Hofmann M Person, Werner MK , Sauter A , Kupferschläger J , Schölkopf B Person, Pichler BJ and Beyer T (2011) The effect of patient positioning aids on PET quantification in PET/MR imaging European Journal of Nuclear Medicine and Molecular Imaging 38(5) 920-929.
Ramos Murguialday A , Hill J Person, Bensch M , Martens S Person, Halder S Person, Nijboer F , Schölkopf B Person, Birbaumer N and Gharabaghi A (2011) Transition from the locked in to the completely locked-in state: A physiological analysis Clinical Neurophysiology 122(5) 925-933.
Kam-Thong T , Czamara D , Tsuda K Person, Borgwardt K Person, Lewis CM , Erhardt-Lehmann A , Hemmer B , Rieckmann P , Daake M , Weber F , Wolf C , Ziegler A , Pütz B , Holsboer F , Schölkopf B Person and Müller-Myhsok B (2011) EPIBLASTER-fast exhaustive two-locus epistasis detection strategy using graphical processing units European Journal of Human Genetics 19(4) 465-471.
Hirsch M Person, Schölkopf B Person and Habeck M Person (2011) A Blind Deconvolution Approach for Improving the Resolution of Cryo-EM Density Maps Journal of Computational Biology 18(3) 335-346.
Georgii E Person, Tsuda K Person and Schölkopf B Person (2011) Multi-way set enumeration in weight tensors Machine Learning 82(2) 123-155.
Martens SMM Person, Mooij JM Person, Hill NJ Person, Farquhar J Person and Schölkopf B Person (2011) A graphical model framework for decoding in the visual ERP-based BCI speller Neural Computation 23(1) 160-182.
Besserve M Person, Schölkopf B Person, Logothetis NK Person and Panzeri S Person (2010) Causal relationships between frequency bands of extracellular signals in visual cortex revealed by an information theoretic analysis Journal of Computational Neuroscience 29(3) 547-566.
Janzing D Person and Schölkopf B Person (2010) Causal Inference Using the Algorithmic Markov Condition IEEE Transactions on Information Theory 56(10) 5168-5194.
Steinke F Person, Hein M Person and Schölkopf B Person (2010) Nonparametric Regression between General Riemannian Manifolds SIAM Journal on Imaging Sciences 3(3) 527-563.
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