My scientific interests are in the field of machine learning and inference from empirical data. 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 structures that underly statistical dependences. I have worked on a number of different applications of machine learning - in our field, you get "to play in everyone's backyard." Most recently, I have been trying to play in the backyard of astronomers and photographers.
I am heading the Department of Empirical Inference; take a look at our last formal Research Overview and Alumni List.
Many of my papers can downloaded if you click on the tab "publications;" alternatively, from arxiv or from http://www.kernel-machines.org/. Some additional information:
Machine Learning Causal Inference Artificial Intelligence Computational Photography Statistics
If you'd like to contact me, please consider these two notes:
1. I recently 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 Sekretariat-Schoelkopf@tuebingen.mpg.de. 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 are always happy to receive outstanding applications for PhD positions and postdocs.
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Schölkopf, B.
Übersicht durch Übersehen
Frankfurter Allgemeine Zeitung , Wissenschaftsbeilage, March 1998 (misc)
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Franz, M., Schölkopf, B., Mallot, H., Bülthoff, H.
Learning view graphs for robot navigation
Autonomous Robots, 5(1):111-125, March 1998 (article)
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Schölkopf, B., Knirsch, P., Smola, A., Burges, C.
Fast approximation of support vector kernel expansions, and an interpretation of clustering as approximation in feature spaces.
In Mustererkennung 1998, pages: 125-132, Informatik aktuell, (Editors: P Levi and M Schanz and R-J Ahlers and F May), Springer, Berlin, Germany, 20th DAGM-Symposium, 1998 (inproceedings)
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Smola, A., Williamson, R., Schölkopf, B.
Generalization bounds and learning rates for Regularized principal manifolds
NeuroCOLT, 1998, NeuroColt2-TR 1998-027 (techreport)
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Schölkopf, B., Mika, S., Smola, A., Rätsch, G., Müller, K.
Kernel PCA pattern reconstruction via approximate pre-images.
In 8th International Conference on Artificial Neural Networks, pages: 147-152, Perspectives in Neural Computing, (Editors: L Niklasson and M Boden and T Ziemke), Springer, Berlin, Germany, 8th International Conference on Artificial Neural Networks, 1998 (inproceedings)
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Smola, A., Williamson, R., Schölkopf, B.
Generalization Bounds for Convex Combinations of Kernel Functions
Royal Holloway College, 1998 (techreport)
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Williamson, R., Smola, A., Schölkopf, B.
Generalization Performance of Regularization Networks and Support Vector Machines via Entropy
Numbers of Compact Operators
(19), NeuroCOLT, 1998, Accepted for publication in IEEE Transactions on Information Theory (techreport)
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Smola, A., Mika, S., Schölkopf, B.
Quantization Functionals and Regularized PrincipalManifolds
NeuroCOLT, 1998, NC2-TR-1998-028 (techreport)
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Schölkopf, B., Smola, A., Müller, K., Burges, C., Vapnik, V.
Support Vector methods in learning and feature extraction
Ninth Australian Conference on Neural Networks, pages: 72-78, (Editors: T. Downs, M. Frean and M. Gallagher), 1998 (talk)
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Smola, A., Schölkopf, B., Müller, K.
Convex Cost Functions for Support Vector Regression
In 8th International Conference on Artificial Neural Networks, pages: 99-104, Perspectives in Neural Computing, (Editors: L Niklasson and M Boden and T Ziemke), Springer, Berlin, Germany, 8th International Conference on Artificial Neural Networks, 1998 (inproceedings)
ei
Schölkopf, B.
Support-Vektor-Lernen
In Ausgezeichnete Informatikdissertationen 1997, pages: 135-150, (Editors: G Hotz and H Fiedler and P Gorny and W Grass and S Hölldobler and IO Kerner and R Reischuk), Teubner Verlag, Stuttgart, 1998 (inbook)
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Schölkopf, B., Bartlett, P., Smola, A., Williamson, R.
Support vector regression with automatic accuracy control.
In ICANN'98, pages: 111-116, Perspectives in Neural Computing, (Editors: L Niklasson and M Boden and T Ziemke), Springer, Berlin, Germany, International Conference on Artificial Neural Networks (ICANN'98), 1998 (inproceedings)
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Smola, A., Schölkopf, B., Müller, K.
General cost functions for support vector regression.
In Ninth Australian Conference on Neural Networks, pages: 79-83, (Editors: T Downs and M Frean and M Gallagher), 9th Australian Conference on Neural Networks (ACNN'98), 1998 (inproceedings)
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Smola, A., Murata, N., Schölkopf, B., Müller, K.
Asymptotically optimal choice of varepsilon-loss for support vector machines.
In 8th International Conference on Artificial Neural Networks, pages: 105-110, Perspectives in Neural Computing, (Editors: L Niklasson and M Boden and T Ziemke), Springer, Berlin, Germany, 8th International Conference on Artificial Neural Networks, 1998 (inproceedings)
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Saunders, C., Stitson, M., Weston, J., Bottou, L., Schölkopf, B., Smola, A.
Support Vector Machine Reference Manual
(CSD-TR-98-03), Department of Computer Science, Royal Holloway, University of London, 1998 (techreport)
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Schölkopf, B., Sung, K., Burges, C., Girosi, F., Niyogi, P., Poggio, T., Vapnik, V.
Comparing support vector machines with Gaussian kernels to radial basis function classifiers
IEEE Transactions on Signal Processing, 45(11):2758-2765, November 1997 (article)
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Mallot, H., Franz, M., Schölkopf, B., Bülthoff, H.
The view-graph approach to visual navigation and spatial memory
In Artificial Neural Networks: ICANN ’97, pages: 751-756, (Editors: W Gerstner and A Germond and M Hasler and J-D Nicoud), Springer, Berlin, Germany, 7th International Conference on Artificial Neural Networks, October 1997 (inproceedings)
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Müller, K., Smola, A., Rätsch, G., Schölkopf, B., Kohlmorgen, J., Vapnik, V.
Predicting time series with support vector machines
In Artificial Neural Networks: ICANN’97, pages: 999-1004, (Editors: Schölkopf, B. , C.J.C. Burges, A.J. Smola), Springer, Berlin, Germany, 7th International Conference on Artificial Neural Networks , October 1997 (inproceedings)
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Müller, K., Smola, A., Rätsch, G., Schölkopf, B., Kohlmorgen, J., Vapnik, V.
Predicting time series with support vectur machines
In Artificial neural networks: ICANN ’97, pages: 999-1004, (Editors: W Gerstner and A Germond and M Hasler and J-D Nicoud), Springer, Berlin, Germany, 7th International Conference on Artificial Neural Networks , October 1997 (inproceedings)
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Schölkopf, B., Smola, A., Müller, K.
Kernel principal component analysis
In Artificial neural networks: ICANN ’97, LNCS, vol. 1327, pages: 583-588, (Editors: W Gerstner and A Germond and M Hasler and J-D Nicoud), Springer, Berlin, Germany, 7th International Conference on Artificial Neural Networks, October 1997 (inproceedings)
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Franz, M., Schölkopf, B., Bülthoff, H.
Homing by parameterized scene matching
In Proceedings of the 4th European Conference on Artificial Life, (Eds.) P. Husbands, I. Harvey. MIT Press, Cambridge 1997, pages: 236-245, (Editors: P Husbands and I Harvey), MIT Press, Cambridge, MA, USA, 4th European Conference on Artificial Life (ECAL97), July 1997 (inproceedings)
ei
Schölkopf, B.
Das Spiel mit dem künstlichen Leben.
Frankfurter Allgemeine Zeitung, Wissenschaftsbeilage, June 1997 (misc)
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Burges, C., Schölkopf, B.
Improving the accuracy and speed of support vector learning machines
In Advances in Neural Information Processing Systems 9, pages: 375-381, (Editors: M Mozer and MJ Jordan and T Petsche), MIT Press, Cambridge, MA, USA, Tenth Annual Conference on Neural Information Processing Systems (NIPS), May 1997 (inproceedings)
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Franz, M., Schölkopf, B., Bülthoff, H.
Homing by parameterized scene matching
(46), Max Planck Institute for Biological Cybernetics, Tübingen, Germany, Febuary 1997 (techreport)
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Franz, M., Schölkopf, B., Georg, P., Mallot, H., Bülthoff, H.
Learning view graphs for robot navigation
In Proceedings of the 1st Intl. Conf. on Autonomous Agents, pages: 138-147, (Editors: Johnson, W.L.), ACM Press, New York, NY, USA, First International Conference on Autonomous Agents (AGENTS '97), Febuary 1997 (inproceedings)
ei
Schölkopf, B.
Support vector learning
pages: 173, Oldenbourg, München, Germany, 1997, Zugl.: Berlin, Techn. Univ., Diss., 1997 (book)
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Schölkopf, B., Smola, A., Müller, K.
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
(44), Max Planck Institute for Biological Cybernetics Tübingen, December 1996, This technical report has also been published elsewhere (techreport)
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Blanz, V., Schölkopf, B., Bülthoff, H., Burges, C., Vapnik, V., Vetter, T.
Comparison of view-based object recognition algorithms using realistic 3D models
In Artificial Neural Networks: ICANN 96, LNCS, vol. 1112, pages: 251-256, Lecture Notes in Computer Science, (Editors: C von der Malsburg and W von Seelen and JC Vorbrüggen and B Sendhoff), Springer, Berlin, Germany, 6th International Conference on Artificial Neural Networks, July 1996 (inproceedings)
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Franz, M., Schölkopf, B., Georg, P., Mallot, H., Bülthoff, H.
Learning View Graphs for Robot Navigation
(33), Max Planck Institute for Biological Cybernetics, Tübingen,, July 1996 (techreport)
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Schölkopf, B., Burges, C., Vapnik, V.
Incorporating invariances in support vector learning machines
In Artificial Neural Networks: ICANN 96, LNCS vol. 1112, pages: 47-52, (Editors: C von der Malsburg and W von Seelen and JC Vorbrüggen and B Sendhoff), Springer, Berlin, Germany, 6th International Conference on Artificial Neural Networks, July 1996, volume 1112 of Lecture Notes in Computer Science
(inproceedings)
ei
Schölkopf, B.
Künstliches Lernen
In Komplexe adaptive Systeme, Forum für Interdisziplinäre Forschung, 15, pages: 93-117, Forum für interdisziplinäre Forschung, (Editors: S Bornholdt and PH Feindt), Röll, Dettelbach, 1996 (inbook)
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Franz, M., Schölkopf, B., Mallot, H., Bülthoff, H.
Aktives Erwerben eines Ansichtsgraphen zur diskreten Repräsentation offener Umwelten.
Fortschritte der K{\"u}nstlichen Intelligenz, pages: 138-147, (Editors: M. Thielscher and S.-E. Bornscheuer), 1996 (poster)
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Mallot, H., Bülthoff, H., Georg, P., Schölkopf, B., Yasuhara, K.
View-based cognitive map learning by an autonomous robot
In Proceedings International Conference on Artificial Neural Networks, vol. 2, pages: 381-386, (Editors: Fogelman-Soulié, F.), EC2, Paris, France, Conférence Internationale sur les Réseaux de Neurones Artificiels (ICANN '95), October 1995 (inproceedings)
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Schölkopf, B., Burges, C., Vapnik, V.
Extracting support data for a given task
In First International Conference on Knowledge Discovery & Data Mining (KDD-95), pages: 252-257, (Editors: UM Fayyad and R Uthurusamy), AAAI Press, Menlo Park, CA, USA, August 1995 (inproceedings)
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Schölkopf, B., Mallot, H.
View-Based Cognitive Mapping and Path Planning
Adaptive Behavior, 3(3):311-348, January 1995 (article)
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Vapnik, V., Burges, C., Schölkopf, B.
A New Method for Constructing Artificial Neural Networks
AT & T Bell Laboratories, 1995 (techreport)
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Schölkopf, B., Mallot, H.
View-based cognitive mapping and path planning
(7), Max Planck Institute for Biological Cybernetics Tübingen, November 1994, This technical report has also been published elsewhere (techreport)