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

Fakultät für Mathematik, Physik und Informatik
Lehrstuhl Stochastik und maschinelles Lernen


Prof. Dr. Andreas Christmann
Lehrstuhlinhaber

Statistical Machine Learning - Stochastik - Statistik

Weitere Informationen sind auf meiner Homepage verfügbar.

Prof. Dr. Andreas Christmann

Fakultät für Mathematik, Physik und Informatik
Lehrstuhl Stochastik und maschinelles Lernen


Forschung

  • Schwerpunkte: Statistical machine learning und robuste Statistik
  • Data Science, Big Data, Kern-basierte Methoden, Mathematische Statistik und Anwendungen.
Prof. Dr. Andreas Christmann

Fakultät für Mathematik, Physik und Informatik
Lehrstuhl Stochastik und maschinelles Lernen


Publikationen

Buch / Monografie

Steinwart, Ingo; Christmann, Andreas
Support Vector Machines
New York : Springer, 2008. - 601 S. . - (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 S.
http://www.shaker.de/de/content/catalogue/index.as ...

Referierte Beiträge in Zeitschriften (begutachtet)

Guo, Zheng-Chu; Christmann, Andreas; Shi, Lei
Optimality of Robust Online Learning
In: Foundations of Computational Mathematics (2023)
doi:10.1007/s10208-023-09616-9 ...

Köhler, Hannes; Christmann, Andreas
Total Stability of SVMs and Localized SVMs
In: Journal of Machine Learning Research Bd. 23 (2022) Heft 100. - S. 1-41
http://jmlr.org/papers/v23/21-0129.html

Christmann, Andreas; Xiang, Dao-Hong; Zhou, Ding-Xuan
Total stability of kernel methods
In: Neurocomputing Bd. 289 (2018) . - S. 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 Bd. 315 (2018) . - S. 96-106
doi:10.1016/j.neucom.2018.06.061 ...

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

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

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

Hable, Robert; Christmann, Andreas
Estimation of scale functions to model heteroscedasticity by regularised kernel-based quan ...
In: Journal of Nonparametric Statistics Bd. 26 (2014) Heft 2. - S. 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 Bd. 56 (2012) Heft 4. - S. 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 Bd. 17 (2011) Heft 1. - S. 211-225
doi:10.3150/10-BEJ267 ...

Hable, Robert; Christmann, Andreas
On Qualitative Robustness of Support Vector Machines
In: Journal of Multivariate Analysis Bd. 102 (2011) Heft 6. - S. 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 Bd. 101 (2010) Heft 2. - S. 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 Bd. 2 (2009) Heft 3. - S. 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 Bd. 2 (2009) Heft 3. - S. 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 Bd. 9 (2008) Heft 6. - S. 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 Bd. 24 (2008) Heft 2. - S. 171-183
doi:10.1002/asmb.700 ...

Christmann, Andreas; Steinwart, Ingo
Consistency and robustness of kernel-based regression in convex risk minimization
In: Bernoulli Bd. 13 (2007) Heft 3. - S. 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 Bd. 51 (2007) Heft 12. - S. 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 Bd. 52 (2007) Heft 1. - S. 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 Bd. 49 (2006) Heft 2. - S. 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 Bd. 67 (2006) Heft 2. - S. 81-87
doi:10.1055/s-2006-933374 ...

Christmann, Andreas; van Aelst, Stefan
Robust estimation of Cronbach's alpha
In: Journal of Multivariate Analysis Bd. 97 (2006) Heft 7. - S. 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 Bd. 21 (2005) Heft 2. - S. 193-208
doi:10.1007/s10255-005-0229-8 ...

Christmann, Andreas
An approach to model complex high-dimensional insurance data
In: Allgemeines Statistisches Archiv Bd. 88 (2004) Heft 4. - S. 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 Bd. 5 (2004) . - S. 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 Bd. 43 (2003) Heft 3. - S. 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 Bd. 23 (2002) . - S. 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 Bd. 17 (2002) Heft 2. - S. 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 Bd. 11 (2001) Heft 9. - S. 1688-1696
doi:10.1007/s003300000795 ...

Christmann, Andreas; Rousseeuw, Peter J.
Measuring overlap in binary regression
In: Computational Statistics & Data Analysis Bd. 37 (2001) Heft 1. - S. 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 Bd. 174 (2000) Heft 1. - S. 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 Bd. 14 (1999) Heft 3. - S. 339-353
doi:10.1007/s001800050020 ...

Berkenberg, Mechthild; Christmann, Andreas; Schröder, Kurt
Stichprobenrevision am Freihandbestand der Universitätsbibliothek Dortmund
In: Bibliotheksdienst Bd. 33 (1999) Heft 10. - S. 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 Bd. 9 (1998) Heft 2. - S. 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 Bd. 58 (1998) . - S. 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 Bd. 32 (1997) Heft 9. - S. 511-522
http://journals.lww.com/investigativeradiology/Abs ...

Christmann, Andreas
Least median of weighted squares in logistic regression with large strata
In: Biometrika Bd. 81 (1994) Heft 2. - S. 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 Bd. 48 (1994) Heft 3. - S. 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 Bd. 45 (1991) Heft 4. - S. 379-389
doi:10.1111/j.1467-9574.1991.tb01317.x ...

Beiträge in Sammelbänden (begutachtet)

Gensler, Patrick; Christmann, Andreas
On the Robustness of Kernel-Based Pairwise Learning
In: Steland, Ansgar ; Tsui, Kwok-Leung (Hrsg.): Artificial Intelligence, Big Data and Data Science in Statistics : Challenges and Solutions in Environmetrics, the Natural Sciences and Technology - Cham: Springer, 2022. - S. 111-153
doi:10.1007/978-3-031-07155-3_5 ...

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. - S. 3779-3784

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 (Hrsg.): Empirical Inference : Festschrift in Honor of Vladimir N. Vapnik - Berlin ; New York: Springer, 2013. - S. 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 (Hrsg.): Robustness and Complex Data Structures : Festschrift in Honour of Ursula Gather - Heidelberg ; New York: Springer, 2013. - S. 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. - S. 1802-1807

Hable, Robert; Christmann, Andreas
Robustness Versus Consistency in Ill-Posed Classification and Regression Problems
In: Giusti, Antonio ; Ritter, Gunter ; Vichi, Maurizio (Hrsg.): Classification and Data Mining - Berlin: Springer, 2013. - S. 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. (Hrsg.): Advances in Neural Information Processing Systems 23. Volume 1 - Red Hook, NY: Curran, 2010. - S. 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. (Hrsg.): Advances in Neural Information Processing Systems 22. Volume 3 - Red Hook, NY: Curran, 2009. - S. 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. (Hrsg.): Advances in Neural Information Processing Systems 21 - Red Hook, NY: Curran, 2009. - S. 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. (Hrsg.): Advances in Neural Information Processing Systems 20. Volume 1 - Cambridge, MA: MIT Press, 2008. - S. 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 (Hrsg.): Theory and Applications of Recent Robust Methods - Basel: Birkhäuser Basel, 2004. - S. 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 (Hrsg.): 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. - S. 22-36

Christmann, Andreas
Classification based on the support vector machine and on regression depth
In: Dodge, Yadolah (Hrsg.): Statistical Data Analysis Based on the L_1-Norm and Related Methods - Basel: Birkhäuser Basel, 2002. - S. 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 (Hrsg.): COMPSTAT : Proceedings in Computational Statistics. 15th symposium held in Berlin - Heidelberg: Physica, 2002. - S. 225-230
doi:10.1007/978-3-642-57489-4_30 ...

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

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

Christmann, Andreas
Statistische Analysen mit SAS und LogXact
In: Ortseifen, Carina (Hrsg.): 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. - S. 69-71

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

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

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

Christmann, Andreas
High breakdown point estimators in logistic regression
In: Rieder, Helmut (Hrsg.): Robust Statistics, Data Analysis, and Computer Intensive Methods : In Honor of Peter Huber's 60th Birthday - New York: Springer, 1996. - S. 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. (Hrsg.): Medizinische Informatik : Ein integrierender Teil arztunterstützender Technologien: Lübeck, September 1993 - München: MMV Medizin Verlag GmbH, 1994. - S. 478-481 . - (Medizinische Informatik, Biometrie und Epidemiologie; 77)

Referierte Konferenzbeiträge und andere Vorträge (begutachtet)

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, Diskussionspapier

Christmann, Andreas; Lei, Yunwen
Bootstrap SGD: Algorithmic Stability and Robustness
arXiv, 2024. - 20 S.
doi:10.48550/arXiv.2409.01074 ...

Guo, Zheng-Chu; Christmann, Andreas; Shi, Lei
Optimality of Robust Online Learning
Fudan University Shanghai, China, 2023. - 26 S.
doi:10.48550/arXiv.2304.10060 ...

Köhler, Hannes; Christmann, Andreas
Total Stability of SVMs and Localized SVMs
Bayreuth, 2021. - 30 S.
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 S.
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 S.
http://arxiv.org/pdf/1111.1876v1.pdf

Projektbericht, Forschungsbericht, Gutachten

Christmann, Andreas
Bias of the Minimum Hellinger distance estimator in Poisson models
Dortmund : Universität, 1993

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

Fakultät für Mathematik, Physik und Informatik
Lehrstuhl Stochastik und maschinelles Lernen


Prof. Dr. Andreas Christmann
Lehrstuhlinhaber

Building: NW II, Room: 3.1.01.520

Telefon: +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

Verantwortlich für die Redaktion: Univ.Prof.Dr. Andreas Christmann

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