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Bernhard Schölkopf

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1378: 1343: 350:. Causal mechanisms in the world give rise to statistical dependencies as epiphenomena, but only the latter are exploited by popular machine learning algorithms. Knowledge about causal structures and mechanisms is useful by letting us predict not only future data coming from the same source, but also the effect of interventions in a system, and by facilitating transfer of detected regularities to new situations. 428:
With Alex Smola, Schölkopf co-founded the series of Machine Learning Summer Schools. He also co-founded a Cambridge-Tübingen PhD Programme and the Max Planck-ETH Center for Learning Systems. In 2016, he co-founded the Cyber Valley research consortium. He participated in the IEEE Global Initiative on
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P. Daniusis, D. Janzing, J. Mooij, J. Zscheischler, B. Steudel, K. Zhang, and B. Schölkopf. Inferring deterministic causal relations. In P. Grünwald and P. Spirtes, editors, 26th Conference on Uncertainty in Artificial Intelligence, pages 143–150, Corvallis, OR, 2010. AUAI Press. Best student paper
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D. Janzing, P. Hoyer, and B. Schölkopf. Telling cause from effect based on high-dimensional observations. In J. Fu ̈rnkranz and T. Joachims, editors, Proceedings of the 27th International Conference on Machine Learning, pages 479–486, Madison, WI, USA, 2010. International Machine Learning
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K. Zhang, B. Schölkopf, K. Muandet, and Z. Wang. Domain adaptation under target and conditional shift. In S. Dasgupta and D. McAllester, editors, Proceedings of the 30th International Conference on Machine Learning, volume 28 of JMLR Workshop and Conference Proceedings, pages 819–827,
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P. O. Hoyer, D. Janzing, J. M. Mooij, J. Peters, and B. Schölkopf. Nonlinear causal discovery with additive noise models. In D. Koller, D. Schuurmans, Y. Bengio, and L. Bottou, editors, Advances in Neural Information Processing Systems 21, pages 689–696, Red Hook, NY, USA, 2009.
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B. Schölkopf, D. Janzing, J. Peters, E. Sgouritsa, K. Zhang, and J. Mooij. On causal and anticausal learning. In J. Langford and J. Pineau, editors, Proceedings of the 29th International Conference on Machine Learning (ICML), pages 1255–1262, New York, NY, USA, 2012.
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S. Harmeling, M. Hirsch, and B. Schölkopf. On a link between kernel mean maps and Fraunhofer diffraction, with an application to super-resolution beyond the diffraction limit. In Computer Vision and Pattern Recognition (CVPR), pages 1083–1090. IEEE,
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2017. He assayed how to exploit underlying causal structures in order to make machine learning methods more robust with respect to distribution shifts and systematic errors, the latter leading to the discovery of a number of new exoplanets including
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Chapelle and B. Schölkopf. Incorporating invariances in nonlinear SVMs. In T. G. Dietterich, S. Becker, and Z. Ghahramani, editors, Advances in Neural Information Processing Systems 14, pages 609–616, Cambridge, MA, USA, 2002. MIT
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can be generalized to a nonlinear setting by means of what is known as reproducing kernels. Another significant observation was that the data on which the kernel is defined need not be vectorial, as long as the kernel
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J.M. Mooij, J. Peters, D. Janzing, J. Zscheischler, and B. Schölkopf. Distinguishing cause from effect using observational data: methods and benchmarks. Journal of Machine Learning Research, 17(32):1–102,
444:, Carl Rasmussen, Matthias Hein, Arthur Gretton, Gunnar Rätsch, Matthias Bethge, Stefanie Jegelka, Jason Weston, Olivier Bousquet, Olivier Chapelle, Joaquin Quinonero-Candela, and Sebastian Nowozin. 738:
B. Sriperumbudur, A. Gretton, K. Fukumizu, B. Schölkopf and G. Lanckriet. Hilbert Space Embeddings and Metrics on Probability Measures. Journal of Machine Learning Research, 11: 1517—1561, 2010
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D. Foreman-Mackey, B. T. Montet, D. W. Hogg, T. D. Morton, D. Wang, and B. Schölkopf. A systematic search for transiting planets in the K2 data. The Astrophysical Journal, 806(2), 2015
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Developing kernel PCA, Schölkopf extended it to extract invariant features and to design invariant kernels and showed how to view other major dimensionality reduction methods such as
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A. Gretton, O. Bousquet, A. J. Smola and B. Schölkopf. Measuring Statistical Dependence with Hilbert-Schmidt Norms. Algorithmic Learning Theory: 16th International Conference, 2005b
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B. Schölkopf, J. C. Platt, J. Shawe-Taylor, A. J. Smola, and R. C. Williamson. Estimating the support of a high-dimensional distribution. Neural Computation, 13(7):1443–1471, 2001b
330:, have solutions taking the form of kernel expansions on the training data, thus reducing an infinite dimensional optimization problem to a finite dimensional one. He co-developed 1553: 322:. In further work with Alex Smola and others, he extended the SVM method to regression and classification with pre-specified sparsity and quantile/support estimation. He proved a 784:
A. Gretton, K. Fukumizu, C.H. Teo, L. Song, B. Schölkopf and A. J. Smola. A Kernel Statistical Test of Independence. Advances in Neural Information Processing Systems 20, 2007
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A. J. Smola and A. Gretton and L. Song and B. Schölkopf. A Hilbert Space Embedding for Distributions. Algorithmic Learning Theory: 18th International Conference: 13—31, 2007
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A. Gretton, K. Borgwardt, M. Rasch, B. Schölkopf and A. Smola. A Kernel Method for the Two-Sample-Problem. Advances in Neural Information Processing Systems 19: 513—520, 2007
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Around 2010, Schölkopf began to explore how to use causality for machine learning, exploiting assumptions of independence of mechanisms and invariance. His early work on
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A. Gretton, R. Herbrich, A. J. Smola, O. Bousquet, and B. Schölkopf. Kernel methods for measuring independence. Journal of Machine Learning Research, 6:2075–2129, 2005a
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J. Peters, JM. Mooij, D. Janzing, and B. Schölkopf. Causal discovery with continuous additive noise models. Journal of Machine Learning Research, 15:2009–2053, 2014
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Schölkopf and co-workers addressed (and in certain settings solved) the problem of causal discovery for the two-variable setting and connected causality to
190: 319: 1518: 302:, Schölkopf and coauthors argued that SVMs are a special case of a much larger class of methods, and all algorithms that can be expressed in terms of 1217: 1558: 1405: 1016:
Schölkopf, Bernhard; Hogg, David W.; Wang, Dun; Foreman-Mackey, Daniel; Janzing, Dominik; Simon-Gabriel, Carl-Johann; Peters, Jonas (5 July 2016).
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A. Gretton, K. Borgwardt, M. Rasch, B. Schölkopf and A. J. Smola. A Kernel Two-Sample Test. Journal of Machine Learning Research, 13: 723—773, 2012
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B. Schölkopf, A. J. Smola, R. C. Williamson, and P. L. Bartlett. New support vector algorithms. Neural Computation, 12(5):1207–1245, 2000a
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in the Information and Communication Technologies category. He was the first scientist working in Europe to receive this award.
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Schölkopf, P. Simard, A. J. Smola, and V. Vapnik. Prior knowledge in support vector kernels. In M. Jordan, M. Kearns, and
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As of late 2023, Schölkopf is also a scientific advisor to French research group Kyutai which is being funded by
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Schölkopf studied mathematics, physics, and philosophy in Tübingen and London. He was supported by the
1294:"Kyutai is a French AI research lab with a $ 330 million budget that will make everything open source" 266: 51: 905:
Schölkopf, Bernhard; Janzing, Dominik; Peters, Jonas; Sgouritsa, Eleni; Zhang, Kun (27 June 2012).
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kernel embeddings of distributions methods to represent probability distributions in Hilbert Spaces
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implying that SVMs, kernel PCA, and most other kernel algorithms, regularized by a norm in a
1528: 1029: 394: 45: 536: 8: 1377: 1369: 927: 323: 1348: 1033: 436:, a journal he helped found, being part of a mass resignation of the editorial board of 1052: 1017: 998: 887: 869: 662: 623: 541: 441: 223: 1480: 1462: 1320:"Bernhard Schölkopf receives Frontiers of Knowledge Award | Empirical Inference" 1057: 990: 666: 615: 567: 891: 452: 440:. He is among the world’s most cited computer scientists. Alumni of his lab include 100:
J. K. Aggarwal Prize of the International Association for Pattern Recognition (2006)
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is positive definite. Both insights together led to the foundation of the field of
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and won the Lionel Cooper Memorial Prize for the best M.Sc. in Mathematics at the
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Academy Prize of the Berlin-Brandenburg Academy of Sciences and Humanities (2012)
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was exposed to a wider machine learning audience during his Posner lecture at
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Causality in Statistics Education Award, American Statistical Association
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pattern recognition benchmark at the time. With the introduction of
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Member of the German National Academy of Science (Leopoldina) (2017)
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Fellow of the ACM (Association for Computing Machinery) (2018)
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Members of the German National Academy of Sciences Leopoldina
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and, shared with Isabelle Guyon and Vladimir Vapnik, the
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Janzing, Dominik; Schölkopf, Bernhard (6 October 2010).
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European Laboratory for Learning and Intelligent Systems
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2017 fellows of the Association for Computing Machinery
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Decoste, Dennis; Schölkopf, Bernhard (1 January 2002).
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Starting in 2005, Schölkopf turned his attention to
1162: 294:methods achieving world record performance on the 1018:"Modeling confounding by half-sibling regression" 338:as well as applications to independence testing. 1500: 855: 509: 1085:"Curriculum Vitae Prof. Dr. Bernhard Schölkopf" 1022:Proceedings of the National Academy of Sciences 419:Max Planck Institute for Biological Cybernetics 1149:The Science Magazine of the Max Planck Society 1399: 409:, who became co-adviser of his PhD thesis at 139:BBVA Foundation Frontiers of Knowledge Awards 1324:Max Planck Institute for Intelligent Systems 1200:"Max Planck ETH Center for Learning Systems" 1142:"Prescriptions for the Medicine of Tomorrow" 914:International Conference of Machine Learning 512:"Training Invariant Support Vector Machines" 473:BBVA Foundation Frontiers of Knowledge Award 423:Max Planck Institute for Intelligent Systems 251:Max Planck Institute for Intelligent Systems 160:Max Planck Institute for Intelligent Systems 384: 1519:German artificial intelligence researchers 1413: 1406: 1392: 1376: 566:. GMD-Berichte. München Wien: Oldenbourg. 1051: 1041: 968: 873: 561: 535: 493:"Causality in Statistics Education Award" 1163:"Machine Learning Summer Schools – MLSS" 946:"Causal Learning --- Bernhard Schölkopf" 641:Burges, Christopher J.C. (1 June 1998). 1559:Gottfried Wilhelm Leibniz Prize winners 969:Schölkopf, Bernhard (6 February 2015). 862:IEEE Transactions on Information Theory 792: 790: 590:Schölkopf, Bernhard; Smola, Alexander; 432:Schölkopf is co-editor-in-Chief of the 1501: 1291: 640: 368:2011, as well as in a keynote talk at 1387: 1544:Technische Universität Berlin alumni 1317: 1197: 948:. 15 October 2017 – via Vimeo. 787: 585: 583: 557: 555: 434:Journal of Machine Learning Research 405:in New Jersey, where he worked with 1292:Dillet, Romain (17 November 2023). 907:"On Causal and Anticausal Learning" 647:Data Mining and Knowledge Discovery 13: 1564:Alumni of the University of London 1181:"Cambridge Machine Learning Group" 928:"From kernels to causal inference" 14: 1595: 1334: 580: 552: 285: 1341: 1185:Cambridge Machine Learning Group 1110:archiv.pressestelle.tu-berlin.de 328:reproducing kernel Hilbert space 104:Max Planck Research Award (2011) 34:February 1968 (age 56) 1311: 1285: 1267: 1249: 1228: 1210: 1191: 1173: 1155: 1134: 1116: 1098: 1077: 1068: 1009: 962: 952: 938: 920: 898: 849: 839: 830: 820: 810: 800: 778: 769: 760: 750: 741: 732: 723: 714: 467:Schölkopf’s awards include the 320:LLE and Isomap as special cases 60:(1997, PhD in Computer Science) 1584:Max Planck Institute directors 705: 696: 686: 673: 634: 537:11858/00-001M-0000-0013-E06A-A 503: 485: 415:German Informatics Association 401:in Physics, and then moved to 1: 1539:University of Tübingen alumni 478: 271:Technische Universität Berlin 133:Körber European Science Prize 1569:Academic staff of ETH Zurich 1514:Machine learning researchers 562:Schölkopf, Bernhard (1997). 429:"Ethically Aligned Design". 341: 265:, honorary professor at the 7: 1005:– via www.nature.com. 280: 10: 1600: 1509:German computer scientists 1236:"Ethically Aligned Design" 1124:"History of the Institute" 669:– via Springer Link. 612:10.1162/089976698300017467 548:– via Springer Link. 469:Royal Society Milner Award 438:Machine Learning (journal) 249:. He is a director at the 48:(1992, MSc in Mathematics) 1524:Max Planck Society people 1422: 971:"Learning to see and act" 462: 232: 211: 181: 165: 155: 148: 93: 67: 54:(1994, Diplom in Physics) 38: 30: 23: 16:German computer scientist 1372:publications indexed by 1128:www.kyb.tuebingen.mpg.de 894:– via IEEE Xplore. 884:10.1109/TIT.2010.2060095 385:Education and employment 172:Support Vector Learning 1574:Scientists at Bell Labs 1279:people.tuebingen.mpg.de 1204:cls-staging.is.localnet 1043:10.1073/pnas.1511656113 659:10.1023/A:1009715923555 564:Support vector learning 528:10.1023/A:1012454411458 1579:Studienstiftung alumni 1261:www.guide2research.com 336:Fraunhofer diffraction 273:, and chairman of the 267:University of Tübingen 52:University of Tübingen 355:Kolmogorov complexity 1222:Baden-Württemberg.de 1198:Williams, Jonathan. 592:Müller, Klaus-Robert 395:University of London 290:Schölkopf developed 46:University of London 1245:. 13 December 2016. 1224:. 15 December 2016. 1034:2016PNAS..113.7391S 324:representer theorem 1439:Bernhard Schölkopf 1370:Bernhard Schölkopf 1359:Bernhard Schölkopf 600:Neural Computation 442:Ulrike von Luxburg 239:Bernhard Schölkopf 224:Ulrike von Luxburg 25:Bernhard Schölkopf 1496: 1495: 1481:Zoubin Ghahramani 1463:Marta Kwiatkowska 1028:(27): 7391–7398. 981:(7540): 486–487. 932:videolectures.net 868:(10): 5168–5194. 573:978-3-486-24632-2 397:. He completed a 236: 235: 212:Doctoral students 150:Scientific career 1591: 1457:Andrew Zisserman 1445:Thomas Henzinger 1408: 1401: 1394: 1385: 1384: 1380: 1345: 1344: 1328: 1327: 1315: 1309: 1308: 1306: 1304: 1289: 1283: 1282: 1271: 1265: 1264: 1253: 1247: 1246: 1240: 1232: 1226: 1225: 1214: 1208: 1207: 1195: 1189: 1188: 1177: 1171: 1170: 1159: 1153: 1152: 1146: 1138: 1132: 1131: 1120: 1114: 1113: 1102: 1096: 1095: 1089: 1081: 1075: 1072: 1066: 1065: 1055: 1045: 1013: 1007: 1006: 966: 960: 956: 950: 949: 942: 936: 935: 924: 918: 917: 911: 902: 896: 895: 877: 853: 847: 843: 837: 834: 828: 824: 818: 814: 808: 804: 798: 794: 785: 782: 776: 773: 767: 764: 758: 754: 748: 745: 739: 736: 730: 727: 721: 718: 712: 709: 703: 700: 694: 690: 684: 677: 671: 670: 638: 632: 631: 606:(5): 1299–1319. 587: 578: 577: 559: 550: 549: 539: 516:Machine Learning 507: 501: 500: 489: 348:causal inference 334:, with links to 219:Stefanie Jegelka 199: 191:Stefan Jähnichen 183:Doctoral advisor 177: 85:Causal Inference 75:Machine Learning 21: 20: 1599: 1598: 1594: 1593: 1592: 1590: 1589: 1588: 1499: 1498: 1497: 1492: 1475:Cordelia Schmid 1433:Serge Abiteboul 1418: 1412: 1366: 1365: 1364: 1346: 1342: 1337: 1332: 1331: 1318:Williams, Jon. 1316: 1312: 1302: 1300: 1290: 1286: 1273: 1272: 1268: 1255: 1254: 1250: 1238: 1234: 1233: 1229: 1216: 1215: 1211: 1196: 1192: 1179: 1178: 1174: 1161: 1160: 1156: 1144: 1140: 1139: 1135: 1122: 1121: 1117: 1104: 1103: 1099: 1087: 1083: 1082: 1078: 1073: 1069: 1014: 1010: 987:10.1038/518486a 967: 963: 957: 953: 944: 943: 939: 926: 925: 921: 909: 903: 899: 854: 850: 844: 840: 835: 831: 825: 821: 815: 811: 805: 801: 795: 788: 783: 779: 774: 770: 765: 761: 755: 751: 746: 742: 737: 733: 728: 724: 719: 715: 710: 706: 701: 697: 691: 687: 678: 674: 639: 635: 594:(1 July 1998). 588: 581: 574: 560: 553: 508: 504: 491: 490: 486: 481: 465: 407:Vladimir Vapnik 391:Studienstiftung 387: 362:causal learning 344: 288: 283: 228: 207: 203:Vladimir Vapnik 193: 175: 144: 89: 63: 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Index

University of London
University of Tübingen
TU Berlin
Machine Learning
Kernel Methods
Causal Inference
Max Planck Research Award (2011)
Milner Award
Leibniz Prize
Körber European Science Prize
BBVA Foundation Frontiers of Knowledge Awards
Max Planck Institute for Intelligent Systems
Thesis
Doctoral advisor
Stefan Jähnichen
de
Vladimir Vapnik
Stefanie Jegelka
Ulrike von Luxburg
kernel methods
causality
Max Planck Institute for Intelligent Systems
Tübingen
Germany
ETH Zürich
University of Tübingen
Technische Universität Berlin
European Laboratory for Learning and Intelligent Systems
SVM
MNIST

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