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Prof. Dr. Andreas Christmann Prof. Dr. Andreas Christmann
Prof. Dr. Andreas Christmann

Faculty of Mathematics, Physics and Computer Science
Chair for Stochastics


Prof. Dr. Andreas Christmann
Chair holder

Machine Learning - Stochastics - Statistics

Additional information is available on my homepage.

Prof. Dr. Andreas Christmann

Faculty of Mathematics, Physics and Computer Science
Chair for Stochastics


RESEARCH TOPICS

  • Main topics: Machine learning and robust statistics
  • Kernel methods, mathematical statistics and applications, data science, AI, nonparametric and semiparametric statistics, computational statistics, data mining, Big Data.

Additional information is available on my homepage.

Prof. Dr. Andreas Christmann

Faculty of Mathematics, Physics and Computer Science
Chair for Stochastics


Publications

Book/Monograph

Steinwart, Ingo; Christmann, Andreas
Support Vector Machines
New York : Springer, 2008. - 601 pp. . - (Information Science and Statistics)
doi:10.1007/978-0-387-77242-4 ...

Christmann, Andreas; Weihs, Claus
Data Mining und Statistik in Hochschule und Wirtschaft : Proceedings der 6. Konferenz der ...
Aachen : Shaker, 2003. - 396 pp.
http://www.shaker.de/de/content/catalogue/index.as ...

Article in a journal (peer-reviewed)

Christmann, Andreas; Xiang, Dao-Hong; Zhou, Ding-Xuan
Total stability of kernel methods
in Neurocomputing vol. 289 (2018) . - pp. 101-118
doi:10.1016/j.neucom.2018.02.009 ...

Dumpert, Florian; Christmann, Andreas
Universal consistency and robustness of localized support vector machines
in Neurocomputing vol. 315 (2018) . - pp. 96-106
doi:10.1016/j.neucom.2018.06.061 ...

Christmann, Andreas; Zhou, Ding-Xuan
On the Robustness of Regularized Pairwise Learning Methods Based on Kernels
in Journal of Complexity vol. 37 (2016) issue 1-33
doi:10.1016/j.jco.2016.07.001 ...

Christmann, Andreas; Dumpert, Florian; Xiang, Dao-Hong
On extension theorems and their connection to universal consistency in machine learning
in Analysis and Applications vol. 14 (2016) issue 6. - pp. 795-808
doi:10.1142/S0219530516400029 ...

Christmann, Andreas; Zhou, Ding-Xuan
Learning rates for the risk of kernel-based quantile regression estimators in additive mod ...
in Analysis and Applications vol. 14 (2016) issue 3. - pp. 449-477
doi:10.1142/S0219530515500050 ...

Hable, Robert; Christmann, Andreas
Estimation of scale functions to model heteroscedasticity by regularised kernel-based quan ...
in Journal of Nonparametric Statistics vol. 26 (2014) issue 2. - pp. 219-239
doi:10.1080/10485252.2013.875547 ...

Christmann, Andreas; Hable, Robert
Consistency of support vector machines using additive kernels for additive models
in Computational Statistics & Data Analysis vol. 56 (2012) issue 4. - pp. 854-873
doi:10.1016/j.csda.2011.04.006 ...

Steinwart, Ingo; Christmann, Andreas
Estimating conditional quantiles with the help of the pinball loss
in Bernoulli vol. 17 (2011) issue 1. - pp. 211-225
doi:10.3150/10-BEJ267 ...

Hable, Robert; Christmann, Andreas
On Qualitative Robustness of Support Vector Machines
in Journal of Multivariate Analysis vol. 102 (2011) issue 6. - pp. 993-1007
doi:10.1016/j.jmva.2011.01.009 ...

Debruyne, Michiel; Christmann, Andreas; Hubert, Mia; Suykens, John
Robustness of Reweighted Kernel Based Regression
in Journal of Multivariate Analysis vol. 101 (2010) issue 2. - pp. 447-463
doi:10.1016/j.jmva.2009.09.007 ...

Christmann, Andreas; Shen, Xiaotong
Editorial : On the interface of statistics and machine learning
in Statistics and Its Interface vol. 2 (2009) issue 3. - pp. 255-256
http://intlpress.com/site/pub/files/_fulltext/jour ...

Christmann, Andreas; van Messem, Arnout; Steinwart, Ingo
On consistency and robustness properties of support vector machines for heavy-tailed distr ...
in Statistics and Its Interface vol. 2 (2009) issue 3. - pp. 311-327
doi:10.4310/SII.2009.v2.n3.a5 ...

Christmann, Andreas; van Messem, Arnout
Bouligand Derivatives and Robustness of Support Vector Machines for Regression
in Journal of Machine Learning Research vol. 9 (2008) issue 6. - pp. 915-936
http://www.jmlr.org/papers/volume9/christmann08a/c ...

Christmann, Andreas; Steinwart, Ingo
Consistency of kernel based quantile regression
in Applied Stochastic Models in Business and Industry vol. 24 (2008) issue 2. - pp. 171-183
doi:10.1002/asmb.700 ...

Christmann, Andreas; Steinwart, Ingo
Consistency and robustness of kernel-based regression in convex risk minimization
in Bernoulli vol. 13 (2007) issue 3. - pp. 799-819
doi:10.3150/07-BEJ5102 ...

Vandewalle, B.; Beirlant, J.; Christmann, Andreas; Hubert, M.
A Robust Estimator for the Tail Index of Pareto-type Distributions
in Computational Statistics & Data Analysis vol. 51 (2007) issue 12. - pp. 6252-6258
doi:10.1016/j.csda.2007.01.003 ...

Christmann, Andreas; Steinwart, Ingo; Hubert, Mia
Robust Learning from Bites for Data Mining
in Computational Statistics & Data Analysis vol. 52 (2007) issue 1. - pp. 347-361
doi:10.1016/j.csda.2006.12.009 ...

Engelhardt, Martin; Bast, P.; Jeblink, N.; Lauer, W.; Popovic, A.; Eufinger, H.; Scholz, M.; Christmann, Andreas; Harders, A.; Radermacher, K.; Schmieder, K.
Analysis of surgical management of calvarian tumours for the design of a robot-assisted tr ...
in Minimally Invasive Neurosurgery vol. 49 (2006) issue 2. - pp. 98-103
doi:10.1055/s-2006-932173 ...

Schmieder, K.; Moller, F.; Engelhardt, Martin; Scholz, M.; Schregel, W.; Christmann, Andreas; Harders, A.
Dynamic cerebral autoregulation in patients with ruptured and unruptured aneurysms after i ...
in Zentralblatt für Neurochirurgie vol. 67 (2006) issue 2. - pp. 81-87
doi:10.1055/s-2006-933374 ...

Christmann, Andreas; van Aelst, Stefan
Robust estimation of Cronbach's alpha
in Journal of Multivariate Analysis vol. 97 (2006) issue 7. - pp. 1660-1674
doi:10.1016/j.jmva.2005.05.012 ...

Christmann, Andreas
On a Strategy to Develop Robust and Simple Tariffs from Motor Vehicle Insurance Data
in Acta Mathematicae Applicatae Sinica vol. 21 (2005) issue 2. - pp. 193-208
doi:10.1007/s10255-005-0229-8 ...

Christmann, Andreas
An approach to model complex high-dimensional insurance data
in Allgemeines Statistisches Archiv vol. 88 (2004) issue 4. - pp. 375-396
doi:10.1007/s101820400178 ...

Christmann, Andreas; Steinwart, Ingo
On robust properties of convex risk minimization methods for pattern recognition
in Journal of Machine Learning Research vol. 5 (2004) . - pp. 1007-1034
http://www.jmlr.org/papers/volume5/christmann04a/c ...

Rousseeuw, Peter J.; Christmann, Andreas
Robustness against separation and outliers in logistic regression
in Computational Statistics & Data Analysis vol. 43 (2003) issue 3. - pp. 315-332
doi:10.1016/S0167-9473(02)00304-3 ...

Jäger, Horst J.; Mathias, Klaus; Hauth, Elke; Drescher, Robert; Gissler, Hans M.; Hennigs, Svenja P.; Christmann, Andreas
Cerebral ischemia detected with diffusion-weighted MR imaging after stent implantation in ...
in American Journal of Neuroradiology vol. 23 (2002) . - pp. 200-207
http://www.ajnr.org/content/23/2/200.full.pdf+html ...

Christmann, Andreas; Fischer, Paul; Joachims, Thorsten
Comparison between various regression depth methods and the support vector machine to appr ...
in Computational Statistics vol. 17 (2002) issue 2. - pp. 273-287
doi:10.1007/s001800200106 ...

Hennigs, Svenja P.; Garmer, Marietta; Jäger, Horst J.; Classen, Reinhard; Jacobs, Andreas; Gissler, Hans M.; Christmann, Andreas; Mathias, Klaus
Digital chest radiography with a large-area flat panel silicon X-ray detector : clinical c ...
in European Radiology vol. 11 (2001) issue 9. - pp. 1688-1696
doi:10.1007/s003300000795 ...

Christmann, Andreas; Rousseeuw, Peter J.
Measuring overlap in binary regression
in Computational Statistics & Data Analysis vol. 37 (2001) issue 1. - pp. 65-75
doi:10.1016/S0167-9473(00)00063-3 ...

Garmer, Marietta; Hennigs, Svenja P.; Jäger, Horst J.; Schrick, Felicitas; van de Loo, Thomas; Jacobs, Andreas; Hanusch, Axel; Christmann, Andreas; Mathias, Klaus
Digital Radiography Versus Conventional Radiography in Chest Imaging : Diagnostic Performa ...
in American Journal of Roentgenology vol. 174 (2000) issue 1. - pp. 75-80
doi:10.2214/ajr.174.1.1740075 ...

Christmann, Andreas
On group sequential tests based on robust location and scale estimators in the two-sample ...
in Computational Statistics vol. 14 (1999) issue 3. - pp. 339-353
doi:10.1007/s001800050020 ...

Berkenberg, Mechthild; Christmann, Andreas; Schröder, Kurt
Stichprobenrevision am Freihandbestand der Universitätsbibliothek Dortmund
in Bibliotheksdienst vol. 33 (1999) issue 10. - pp. 1657-1660
doi:10.1515/bd.1999.33.10.1657 ...

Jäger, Horst J.; Kolb, Stefan; Mair, Thomas; Geller, Marius; Christmann, Andreas; Kinne, Rolf K.; Mathias, Klaus
In Vitro Model for the Evaluation of Inferior Vena Cava Filters : Effect of Experimental P ...
in Journal of Vascular and Interventional Radiology vol. 9 (1998) issue 2. - pp. 295-304
doi:10.1016/S1051-0443(98)70272-6 ...

Christmann, Andreas
Positive breakdown point estimation in categorical regression models
in Bulletin of the International Statistical Institute ISI vol. 58 (1998) . - pp. 197-198
http://www.stat.fi/isi99/proceedings/arkisto/varas ...

Jäger, Horst J.; Mair, Thomas; Geller, Marius; Kinne, Rolf K.; Christmann, Andreas; Mathias, Klaus
A Physiologic In Vitro Model of the Inferior Vena Cava with a Computer-Controlled Flow Sys ...
in Investigative Radiology vol. 32 (1997) issue 9. - pp. 511-522
http://journals.lww.com/investigativeradiology/Abs ...

Christmann, Andreas
Least median of weighted squares in logistic regression with large strata
in Biometrika vol. 81 (1994) issue 2. - pp. 413-417
doi:10.1093/biomet/81.2.413 ...

Christmann, Andreas; Gather, U.; Scholz, G.
Some properties of the length of the shortest half
in Statistica Neerlandica vol. 48 (1994) issue 3. - pp. 209-213
doi:10.1111/j.1467-9574.1994.tb01444.x ...

Christmann, Andreas; Gather, U.
Significance levels of linear rank tests using Edgeworth Expansions
in Statistica Neerlandica vol. 45 (1991) issue 4. - pp. 379-389
doi:10.1111/j.1467-9574.1991.tb01317.x ...

Article in a book (peer-reviewed)

Christmann, Andreas; Hable, Robert
On the Bootstrap Approach for Support Vector Machines and Related Kernel Based Methods
Proceedings of the 59th World Statistics Congress of the International Statistical Institute, 2013, Hong Kong - The Hague, The Netherlands: International Statistical Institute, 2013. - pp. 3779-3784
http://2013.isiproceedings.org/Files/CPS018-P5-S.p ...

Christmann, Andreas; Hable, Robert
On the Consistency of the Bootstrap Approach for Support Vector Machines and Related Kerne ...
In: Schölkopf, Bernhard ; Luo, Zhiyuan ; Vovk, Vladimir (ed.): Empirical Inference : Festschrift in Honor of Vladimir N. Vapnik - Berlin ; New York: Springer, 2013. - pp. 231-244
doi:10.1007/978-3-642-41136-6_20 ...

Christmann, Andreas; Salibián-Barrera, Matías; van Aelst, Stefan
Qualitative Robustness of Bootstrap Approximations for Kernel Based Methods
In: Becker, Claudia ; Fried, Roland ; Kuhnt, Sonja (ed.): Robustness and Complex Data Structures : Festschrift in Honour of Ursula Gather - Heidelberg ; New York: Springer, 2013. - pp. 263-278
doi:10.1007/978-3-642-35494-6_16 ...

Christmann, Andreas; Salibián-Barrera, Matías; van Aelst, Stefan
Qualitative Robustness of Bootstrap Approximations for Kernel Based Methods
Proceedings of the 59th World Statistics Congress of the International Statistical Institute, 2013, Hong Kong, China - The Hague, The Netherlands: International Statistical Institute, 2013. - pp. 1802-1807
http://2013.isiproceedings.org/Files/STS036-P4-S.p ...

Hable, Robert; Christmann, Andreas
Robustness Versus Consistency in Ill-Posed Classification and Regression Problems
In: Giusti, Antonio ; Ritter, Gunter ; Vichi, Maurizio (ed.): Classification and Data Mining - Berlin: Springer, 2013. - pp. 27-35
doi:10.1007/978-3-642-28894-4_4 ...

Christmann, Andreas; Steinwart, Ingo
Universal Kernels on Non-Standard Input Spaces
In: Lafferty, John D. ; Williams, C. K. I. ; Shawe-Taylor, J. ; Zemel, R. S. ; Culotta, A. (ed.): Advances in Neural Information Processing Systems 23. Volume 1 - Red Hook, NY: Curran, 2010. - pp. 406-414

Steinwart, Ingo; Christmann, Andreas
Fast learning from non-i.i.d. observations
In: Bengio, Yoshua ; Schuurmans, D. ; Lafferty, J. D. ; Williams, C. K. I. ; Culotta, A. (ed.): Advances in Neural Information Processing Systems 22. Volume 3 - Red Hook, NY: Curran, 2009. - pp. 1768-1776
https://papers.nips.cc/paper/3736-fast-learning-fr ...

Steinwart, Ingo; Christmann, Andreas
Sparsity of SVMs that use the epsilon-insensitive loss
In: Koller, Daphne ; Schuurmans, D. ; Bengio, Y. ; Bottou, L. (ed.): Advances in Neural Information Processing Systems 21 - Red Hook, NY: Curran, 2009. - pp. 1569-1576
http://papers.nips.cc/paper/3466-sparsity-of-svms- ...

Steinwart, Ingo; Christmann, Andreas
How SVMs can estimate quantiles and the median
In: Platt, John C. ; Koller, Daphne ; Singer, Y. ; Roweis, S. (ed.): Advances in Neural Information Processing Systems 20. Volume 1 - Cambridge, MA: MIT Press, 2008. - pp. 305-312
http://papers.nips.cc/paper/3180-how-svms-can-esti ...

Christmann, Andreas
On Properties of Support Vector Machines for Pattern Recognition in Finite Samples
In: Hubert, Mia ; Pison, Greet ; Struyf, Anja ; Van Aelst, Stefan (ed.): Theory and Applications of Recent Robust Methods - Basel: Birkhäuser Basel, 2004. - pp. 49-58 . - (Statistics for Industry and Technology)
doi:10.1007/978-3-0348-7958-3_5 ...

Christmann, Andreas
Generalisierte lineare Modelle mit SAS 8e
In: Becker, Christine ; Redlich, Heinz (ed.): Data Mining und Statistik in Hochschule und Wirtschaft : Proceedings der 7. Konferenz der SAS®-Anwender in Forschung und Entwicklung (KSFE); [20. Februar - 21. Februar 2003, Universität Potsdam] - Aachen: Shaker, 2003. - pp. 22-36

Christmann, Andreas
Classification based on the support vector machine and on regression depth
In: Dodge, Yadolah (ed.): Statistical Data Analysis Based on the L_1-Norm and Related Methods - Basel: Birkhäuser Basel, 2002. - pp. 341-352 . - (Statistics for Industry and Technology)
doi:10.1007/978-3-0348-8201-9_28 ...

Christmann, Andreas; Fischer, Paul; Joachims, Thorsten
Classification based on the support vector machine, regression depth, and discriminant ana ...
In: Härdle, Wolfgang ; Rönz, Bernd (ed.): COMPSTAT : Proceedings in Computational Statistics. 15th symposium held in Berlin - Heidelberg, New York: Physica, 2002. - pp. 225-230
doi:10.1007/978-3-642-57489-4_30 ...

Christmann, Andreas
Robust Estimation in Generalized Linear Models
In: Kunert, Joachim ; Trenkler, Götz (ed.): Mathematical Statistics with Applications in Biometry : Festschrift in honour of Prof. Dr. Siegfried Schach - Köln: Eul, 2001. - pp. 215-230

Christmann, Andreas
SAS-Kurse am HRZ der Universität Dortmund : Ein Erfahrungsbericht
In: Ortseifen, Carina (ed.): Proceedings der 3. Konferenz für SAS-Anwender in Forschung und Entwicklung (KSFE) - Heidelberg: Ruprecht-Karls-Universität, 1999. - pp. 67-68
http://de.saswiki.org/images/0/01/3.KSFE-1999-Chri ...

Christmann, Andreas
Statistische Analysen mit SAS und LogXact
In: Ortseifen, Carina (ed.): Proceedings der 3. Konferenz für SAS-Anwender in Forschung und Entwicklung (KSFE); 25./26. Februar 1999, Ruprecht-Karls-Universität Heidelberg - Heidelberg: Ruprecht-Karls-Universität, 1999. - pp. 69-71
http://de.saswiki.org/images/e/e0/3.KSFE-1999-Chri ...

Christmann, Andreas
On estimators with positive breakdown point in regression models for grouped data
In: International Federation of Classification Societies (ed.): Data Science, Classification, and Related Methods : VI conference of the International Federation of Classification Societies - Roma: Istituto Nazionale di Statistica, 1998. - pp. 66-69

Christmann, Andreas; Schwichtenberg, Günter
KIT200x : Eine Expertenumfrage über die Zukunft der Kommunikations- und Informationstechni ...
In: Grundel, Herbert (ed.): Struktur und Leistungsspektrum innovativer Rechenzentren : Vorträge der 12. GI-Fachtagung über Rechenzentren am 19. und 20. Juni 1997 in Stuttgart-Möhringen - Heidelberg: Hüthig, 1997. - pp. 1-26

Christmann, Andreas
High breakdown point estimators for regression models with large strata
In: Pratt, Albert ; Ripoll, Enric (ed.): COMPSTAT : proceedings in computational statistics ; 12th symposium held in Barcelona, Spain, 1996 - Barcelona: UPC, 1996. - pp. 31-32

Christmann, Andreas
High breakdown point estimators in logistic regression
In: Rieder, Helmut (ed.): Robust Statistics, Data Analysis, and Computer Intensive Methods : In Honor of Peter Huber's 60th Birthday - New York: Springer, 1996. - pp. 79-89 . - (Lecture Notes in Statistics; 109)
http://www.springer.com/de/book/9780387946603

Christmann, Andreas
Ausreißeridentifikaton im logistischen Regressionsmodell
In: Pöppl, Siegfried ; Lipinski, H.-G. ; Mansky, T. (ed.): Medizinische Informatik : Ein integrierender Teil arztunterstützender Technologien: Lübeck, September 1993 - München: MMV Medizin Verlag GmbH, 1994. - pp. 478-481 . - (Medizinische Informatik, Biometrie und Epidemiologie; 77)

Conference item (peer-reviewed)

Christmann, Andreas
On the bootstrap approach for support vector machines and related kernel based methods
2013
59th International Statistical Institute World Statistics Congress (ISI), Hong Kong, China

Christmann, Andreas; Steinwart, Ingo
On Consistency and Robustness of Support Vector Machines
2009
57th Session of the International Statistical Institute (ISI-2009), Durban, South Africa

Preprint, postprint, working paper, discussion paper

Köhler, Hannes; Christmann, Andreas
Total Stability of SVMs and Localized SVMs
Bayreuth, 2021. - 30 pp.
https://arxiv.org/abs/2101.12678

Gensler, Patrick; Christmann, Andreas
On the robustness of kernel-based pairwise learning
Bayreuth, 2020
https://arxiv.org/pdf/2010.15527

Christmann, Andreas; Hable, Robert
On the Consistency of the Bootstrap Approach for Support Vector Machines and Related Kerne ...
Cornell University Library, arXiv, : Cornell University Library, 2013. - 13 pp.
http://arxiv.org/pdf/1301.6944v1.pdf

Christmann, Andreas; Salibián-Barrera, Matías; van Aelst, Stefan
On the stability of Bootstrap estimators
Cornell University Library, arXiv, : Cornell University Library, 2011. - 12 pp.
http://arxiv.org/pdf/1111.1876v1.pdf

Project report, research report, expert assessments

Christmann, Andreas
Bias of the Minimum Hellinger distance estimator in Poisson models
Dortmund : Universität, 1993. - 5 [3] Bl. pp.

Christmann, Andreas
A Note on M-Estimators Proposed by Künsch, Stefanski and Carroll
Dortmund : University of Dortmund, Department of Statistics, 1992

Prof. Dr. Andreas Christmann

Faculty of Mathematics, Physics and Computer Science
Chair for Stochastics


Prof. Dr. Andreas Christmann
Chair holder

Building: NW II, Room: 3.1.01.520

Phone: +49 (0)921/55-3269; Fax: +49 (0)921/55-2152
E-mail: Andreas.Christmann@uni-bayreuth.de
Homepage: Link
Google Scholar: Link
ORCID: Link

Webmaster: Univ.Prof.Dr. Andreas Christmann

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