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; Lei, Yunwen
Bootstrap SGD: Algorithmic Stability and Robustness
in Analysis and Applications vol. 23 (2025) issue 5. - pp. 675-703
doi:10.1142/S0219530525400032 ...

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 vol. 23 (2022) issue 100. - pp. 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 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
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 ...

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
On the Robustness of Regularized Pairwise Learning Methods Based on Kernels
in Journal of Complexity vol. 37 (2016) . - pp. 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 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)

Gensler, Patrick; Christmann, Andreas
On the Robustness of Kernel-Based Pairwise Learning
In: Steland, Ansgar ; Tsui, Kwok-Leung (ed.): Artificial Intelligence, Big Data and Data Science in Statistics : Challenges and Solutions in Environmetrics, the Natural Sciences and Technology - Cham: Springer, 2022. - pp. 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. - pp. 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 (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

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: 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

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. - 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

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

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

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