Erweiterte Suche

Arbeitsgruppe Ohlberger

Institut für Numerische und Angewandte Mathematik

photo

Dr. Bernard Haasdonk
Note, at 1.2.2009 I moved to the
University of Stuttgart
Institute of Numerical and Applied Mathematics
University of Münster
Einsteinstr. 62, room 106
D-48149 Münster, Germany
Telephone: +49-(0)251-83-32753
Fax: +49-(0)251-83-32729
Email: haasdonk AT math.uni-muenster.de

Research Publications Projects Software Teaching Professional

Research Interests


  • Model Reduction
    • parametrized PDEs
    • parametrized dynamical systems
    • reduced basis methods
  • Numerical Analysis
    • evolution schemes, FV, LDG-methods
    • conservation laws
    • error estimation
  • Scientific Computing
    • multiresolution visualization
    • fuel cell simulation
  • Machine Learning
    • kernel methods, kernel design
    • support vector machines
    • proximity-based learning
  • Pattern Recognition
    • feature extraction
    • classifier design
    • invariance
  • Image Processing
    • shape from shading
    • object detection

Publications and Presentations


Publications in Applied Mathematics


Haasdonk, B., Ohlberger, M., Efficient Reduced Models for Parametrized Dynamical Systems by Offline/Online Decomposition MATHMOD 2009, 6th Vienna International Conference on Mathematical Modelling , 2009. Submitted. (.pdf)

Haasdonk, B., Ohlberger, M., Space-Adaptive Reduced Basis Simulation for Time-Dependent Problems. MATHMOD 2009, 6th Vienna International Conference on Mathematical Modelling , 2009. Submitted. (.pdf)

Drohmann, M., Haasdonk, B., Ohlberger, M., Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries. ALGORITMY 2009, Conference on Scientific Computing, 2009. Submitted. (.pdf)

Haasdonk, B., Ohlberger, M., Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws. Proc. 12th Internation Conference on Hyperbolic Problems: Theory, Numerics, Application, 2008. Submitted. (.pdf)

Haasdonk, B., Ohlberger, M., Rozza, G., A Reduced Basis Method for Evolution Schemes with Parameter-Dependent Explicit Operators. Preprint 09/07 - N, FB 10 , University of Münster, Preprint Nr. 17/2007, Institute of Mathematics, University of Freiburg, 2007. Accepted by ETNA. (.pdf)

Haasdonk, B., Ohlberger, M., Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes. In Proc. 5th International Symposium on Finite Volumes for Complex Applications, June 08-13, 2008, Aussois, France, pp. 471-478, 2008 (.ps, .pdf)

Haasdonk, B., Ohlberger, M., Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids. In Proc. International Conference on Adaptive Modeling and Simulation 2007, pp. 116-119, 2007. (.ps.gz, .pdf)

Fuhrmann, J., Haasdonk, B., Holzbecher, E., Ohlberger, M., Guest Editorial for Special Issue on Modelling and Simulation of PEM-FC. Journal of Fuel Cell Science and Technology, 2007. (.ps.gz, .pdf)

Haasdonk, B., Ohlberger, M., Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations. M2AN, Math. Model. Numer. Anal., 42(2):277-302, 2008. (.ps.gz, .pdf)

Haasdonk, B., Ohlberger, M., Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations. Preprint 12/2006, Institute of Mathematics, University of Freiburg, 15.11.2006. (.ps.gz, .pdf)

Haasdonk, B., Kröner, D., Rohde, C., Convergence of a Staggered Lax-Friedrichs Scheme for Nonlinear Conservation Laws on Unstructured Two-Dimensional Grids. Numer. Math. 88, pp. 459-484, Springer-Verlag Heidelberg, 2001. (.ps, .pdf)

Haasdonk, B., Kröner, D., Rohde, C., Convergence of a Staggered Lax-Friedrichs Scheme for Nonlinear Conservation Laws on Unstructured Two-Dimensional Grids. Preprint 00-07, Mathematische Fakultät Freiburg, 2000. (.ps, .pdf)

Haasdonk, B., Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-Grids. Proceedings of the eighth Int. Conf. on Hyperbolic Problems, Vol. II, pp. 475-484, Birkhäuser Verlag Basel, 2000. (.ps, .pdf)

Haasdonk, B., Konvergenz eines Staggered-Lax-Friedrichs-Verfahrens auf unstrukturierten 2D-Gittern. Master's Thesis, Mathematics Department, University of Freiburg, october 1999. (.ps, .pdf)

Publications in Pattern Recognition and Machine Learning


Haasdonk, B., Pekalska, E., Classification with Kernel Mahalanobis Distances. Proc. of 32nd. GfKl Conference, Advances in Data Analysis, Data Handling and Business Intelligence, 2008. ( .ps.gz, .pdf )

Pekalska, E., Haasdonk, B., Kernel Quadratic Discriminant Analysis with Positive Definite and Indefinite Kernels. Preprint Angewandte Mathematik und Informatik 06/08-N, University of Münster, 2008. Accepted by IEEE TPAMI. ( .pdf )

Haasdonk, B., Pekalska, E., Indefinite Kernel Fisher Discriminant. Proc. of ICPR 2008, International Conference on Pattern Recognition, 2008. © IEEE, 2008. ( .pdf )

Haasdonk, B., Burkhardt, H., Classification with Invariant Distance Substitution Kernels. Proc. of 31st. GfKl Conference, Data Analysis, Machine Learning, and Applications, University of Freiburg, 2007. ( .ps.gz, .pdf )

Haasdonk, B. Burkhardt, H., Invariant Kernels for Pattern Analysis and Machine Learning. Machine Learning, 68:35-61, july 2007. ( DOI 10.1007/s10994-007-5009-7 .ps.gz, .pdf )

Peschke, K.-D., Haasdonk, B., Ronneberger, O., Burkhardt, H., Rösch, P., Harz, M. and Popp, J., Using Transformation Knowledge for the Classification of Raman Spectra of Biological Samples. BioMed 2006, Proc. of the 4th IASTED International Conference on Biomedical Engineering, pp. 288-293, 2006 ( .ps, .pdf )

Haasdonk, B. Burkhardt, H., Invariant Kernels for Pattern Analysis and Machine Learning. Internal Report 3/05, IIF-LMB, Computer Science Department, University of Freiburg, 2005. ( .ps.gz, .pdf )

Haasdonk, B., Transformation Knowledge in Pattern Analysis with Kernel Methods. PhD thesis, Computer Science Department, University of Freiburg, May 2005. ( .ps.gz, .pdf ). Published 2006 as ISBN-3-8322-5026-3, Shaker-Verlag, Aachen, and Online at http://www.freidok.uni-freiburg.de/volltexte/2376

Haasdonk, B., Vossen, A. and Burkhardt, H., Invariance in Kernel Methods by Haar-Integration Kernels. SCIA 2005, Scandinavian Conference on Image Analysis, pp. 841-851, Springer-Verlag, 2005 ( .ps, .pdf )

Haasdonk, B., Feature Space Interpretation of SVMs with Indefinite Kernels. IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(4):482-492, april 2005. ( .ps , .pdf + supplementary material .ps , .pdf )

Haasdonk, B., Bahlmann, C., Learning with Distance Substitution Kernels. Pattern Recognition - Proc. of the 26th DAGM Symposium, Tübingen, Germany, August/September 2004, pp. 220-227. Springer Berlin, 2004. ( .ps , .pdf ) See also the accompanying page with Distance Matrices

Haasdonk, B., Halawani, A., Burkhardt, H., Adjustable Invariant Features by Partial Haar-Integration. ICPR 2004, International Conference on Pattern Recognition, Cambridge, UK, August 2004. © IEEE, 2004. ( .ps , .pdf )

Haasdonk, B., Poluru, B.R., Teynor, A., Presto-Box 1.1 Library Documentation. Internal Report 2/03, IIF-LMB, University of Freiburg, November 2003. ( .ps , .pdf )

Burkhardt, H., Haasdonk, B., Mustererkennung WS 02/03, ein multimedialer Grundlagenkurs im Hauptstudium Informatik. Computer Science Department, University of Freiburg, Germany, 2003. (CD's can be ordered)

Haasdonk, B., Feature Space Interpretation of SVMs with non Positive Definite Kernels. Internal Report 1/03, IIF-LMB, University of Freiburg, Germany, October 2003. ( .ps , .pdf )

Haasdonk, B., Keysers, D., Tangent Distance Kernels for Support Vector Machines. ICPR 2002, International Conference on Pattern Recognition, Quebeq City, Canada, August 2002. © IEEE, 2002. ( .ps, .pdf)

Bahlmann, C., Haasdonk, B., Burkhardt, H., On-Line Handwriting Recognition with Support Vector Machines - A Kernel Approach. IWFHR-8, Eighth International Workshop on Frontiers in Handwriting Recognition, Ontario, Canada, August 2002. (.ps, .pdf) Best Paper Presentation Award.

Publications in Scientific Visualization


Haasdonk, B., Ohlberger, M., Rumpf, M., Schmidt, A., Siebert, K.G., Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations. Computing 70, 181-204, Springer-Verlag Wien, 2003. (.ps.gz, .pdf)

Haasdonk, B., Ohlberger, M., Rumpf, M., Schmidt, A., Siebert, K.G., h-p-Multiresolution Visualization of Adaptive Finite Element Simulations. Preprint 01-26 , Mathematische Fakultät Freiburg, Report 01-12, Zentrum für Technomathematik Bremen, 2001. (.ps.gz, .pdf.gz)

Geßner, T., Haasdonk, B., Kende, R., Lenz, M., Metscher M., Neubauer, R., Ohlberger, M., Rosenbaum, W., Rumpf, M., Schwörer, R., Spielberg, M., Weikard, U., A Procedural Interface for Multiresolutional Visualization of General Numerical Data. Report 28, SFB 256, Bonn 1999. (.ps.gz, .pdf.gz)

Current Erdös Number: 4

Further Presentations


Haasdonk, B., Reduzierte Basis Methoden zur Modellreduktion von Parametrisierten Partiellen Differentialgleichungen. CeNoS Kolloquium Nonlinear Science, Münster, 6.1.2009.

Haasdonk, B., Pekalska, E. Indefinite Kernel Fisher Discriminant. ICPR 2008, Tampa, Florida, 10.12.2008.

Haasdonk, B., Model Reduction of Parametrized Evolution Problems by Reduced Basis Methods. Regelungstechnisches Seminar, TU München, 12.11.2008.

Haasdonk, B., Pekalska, E. Classification with Regularized Kernel Mahalanobis Distances. GfKl 2008, Helmut Schmidt Universität Hamburg, 16.7.2008.

Haasdonk, B., Reduced Basis Methods for Parametrized Evolution Problems. JP-Conference, Universität Stuttgart, 27.5.2008.

Haasdonk, B., Reduced Basis Methods for Model Reduction of Parametrized Evolution Schemes. Oberseminar Angewandte Mathematik, Universität Münster, 15.1.2008.

Haasdonk, B., Ohlberger, M., Basis Construction for Reduced Basis Methods with Adaptive Parameter Grids. International Conference on Adaptive Modeling and Simulation ADMOS 2007, Göteborg, 24.10.2007

Haasdonk, B., Ohlberger, M., Rozza, G., Reduced Basis Method for Evolution Schemes with Parameter Dependent Explicit Operators. Chemnitz FEM Symposium, 24.09.2007

Haasdonk, B., Ohlberger, M., Reduced Basis Method for Finite Volume Schemes. Aerospace Computational Design Laboratory Seminar, Massachusetts Institute of Technology, 20.4.2007

Invited Talk: Haasdonk, B., Combining Kernels and Distances. Kernel Combining Workshop, University of Delft, 20.-21.11.2006

Haasdonk, B., Ohlberger, M., Reduced Basis Method for Parametrized Evolution Equations. PEMSIM 2006, WIAS Berlin, 18.-20.9.2006 (abstract)

Haasdonk, B., Transformation Knowledge in Pattern Analysis with Kernel Methods. FDM-Seminar, University of Freiburg, 23.6.2006

Haasdonk, B., Invariance in Kernel Methods - Distance and Integration Kernels. Departement Informatik, University of Basel, Switzerland, 22.4.2005

Haasdonk, B., Invariance in Pattern Analysis with Kernel Methods. FhG-IPSI, Darmstadt, 15.4.2005

Haasdonk, B., Invariance in Kernel Methods - Distance and Integration Kernels. Machine Learning, Support Vector Machines, and Large Scale Optimization Workshop, Schloss Thurnau, 16.-18.3.2005

Haasdonk, B., Feature Space Interpretation of SVM with Indefinite Kernels. Oberseminar Bildverarbeitung, Computersehen und Computergraphik, University of Freiburg, 21.7.2003

Haasdonk, B., Invariance Knowledge in Kernel Functions. MPI for Biological Kybernetics, 22.1.2003

Haasdonk, B., Invariance in Kernel Functions, Minerva School on Vision and Image Science, Schloss Dagstuhl, 7.-9.10.2002

Haasdonk, B., Convergence of a Staggered Lax-Friedrichs-Scheme on Unstructured 2D Grids. Workshop on Finite-Volume Methods, Unversity of Freiburg, 4.-5.12.2000

Haasdonk, B., h-p Multiresolution Visualization of Adaptive Simulations. International Springschool on Visualization, Bonn-Röttgen, 20.-24.3.2000

Haasdonk, B., Konvergenz eines Staggered-Lax-Friedrichs-Verfahrens auf unstrukturierten 2D Gittern. Oberseminar Angewandte Mathematik, University of Freiburg, 1999

Projects


Funded Projects


In charge of a project funded by the Landesstiftung Baden-Württemberg gGmbH, Modellreduktion zur Simulation von Transportprozessen und Anwendungen in Brennstoffzellen, 2007-2008.

In charge of BMBF sub-project for Modellbasiertes Design von Brennstoffzellen und Brennstoffzellensystemen: PEMDesign, 2005-2008.

In charge of BMBF sub-project for ULI, Universitärer Lehrverbund Informatik, 2001-2003.

General Research Projects


In charge of research project Model Reduction with Reduced Basis Methods, since 2005

In charge of research project Invariance in Kernel Methods, 2001-2005

Awards


2007: DAAD-ARC research grant

2006: Admittance to the Eliteprogramm für Postdoktorandinnen und Postdoktoranden of the Landesstiftung Baden-Württemberg gGmbH

2004: Prize in SAS Mining Challenge 2003

2002: Best Paper Presentation Award for the contribution: Bahlmann, C., Haasdonk, B., Burkhardt, H., On-Line Handwriting Recognition with Support Vector Machines - A Kernel Approach. IWFHR-8, 2002. (.ps, .pdf)

2000: Förderpreis 2000 des Verbands der Freunde der Universität Freiburg for the best graduation at the Institute of Mathematics.

Miscellaneous


Participation in the Awarded Exhibition Hightech Underground 2008

Software


Software Packages


KerMet-Tools: MATLAB toolbox for invariant kernel experiments in pattern analysis.

Presto-Box: Scilab toolbox with basic pattern recognition algorithms.

libsvmTL: C++ SVM template library based on libsvm

VisAmp: plattform independent, visually controlled mp3-player

GRAPE: GRAphical Programming Environment for mathematical visualization

DUNE, DUNE-FEM: Distributed and Unified Numerics Environment

Datasets


Distance Matrices: Small collection of proximity data used in the DAGM2004 paper.

Teaching


Lecturer Position


Teaching course Digitale Bildverarbeitung, WS 05/06, SS 2006, WS 06/07, SS 2007, WS 07/08, SS 2008 at the University of Applied Sciences Offenburg, Germany

Lectures


Lecture Modellierung und Simulation von Straßenverkehr, Mathetage, University of Münster, 5.9.2008.

Assisting lecture Einführung in die Numerische Mathematik, WS 07/08

Assisting lecture Wissenschaftliches Rechnen und Anwendungen in der Strömungsdynamik, SS 2006

Assisting lecture Mustererkennung II, SS 2002

Assisting lecture Algorithmen zur digitalen Bildverarbeitung, SS 2000

Assisting lecture Grundlagen der Bilderzeugung und Bildanalyse, WS 00/01, WS 01/02, WS 02/03

Teaching course Introduction into MATLAB, Sommercampus 2004

Teaching course Scientific Computing in C, WS 97/98

Seminars


Oberseminar Angewandte Mathematik, Universität Münster, WS 07/08, SS 2008, WS 08/09

Modellierung und Simulation , WS 08/09

Kernel Methods , WS 08/09

Effiziente numerische Verfahren und Modellreduktion , SS 2008

Mustererkennung mit Support-Vektor-Maschinen (SVM), WS 01/02, WS 02/03

Competitions


Mustererkennung mit Support-Vektor-Maschinen, WS 01/02, WS 02/03

Projects


Coordinating and assisting Softwarepraktikum SS 2001

Lab-Sessions


Teaching Praktikum Numerik für Partielle Differentialgleichungen I WS 08/09

Teaching Praktikum Wissenschaftliches Rechnen WS 07/08, SS 2008

Assisting Bildverarbeitungspraktikum II SS 2003, SS 2004

Theses


Current students:

M. Drohmann, Reduzierte Basis Methode für die Richards Gleichung. Diploma thesis, University Münster, 2008.

Supervised theses:

N. Jung, Reduzierte Basis Methode für die Instationäre Viskose Burgers Gleichung. Diploma thesis, University Freiburg, 2008.

J. Fehr. Automatisierte Modellselektion für Supportvektor-Maschinen. Student thesis, June 2003.

N. Mallig. Transformationswissen in Kernfunktionen für Supportvektor-Maschinen. Master's thesis, August 2003.

H. Stepputtis. Distanz-Substitutions-Kerne für Supportvektor-Maschinen. Student thesis, December 2003.

M. Reisert. Entwicklung von Algorithmen zur Lageinvarianten Merkmalsgewinnung für Drahtgittermodelle. Master's thesis, January 2004.

A. Vossen. Invariante Kernfunktionen Basierend auf Integration über Transformationen. Master's thesis, October 2004. Awarded with the VDI-Förderpreis 2005.

Professional Activities


Scientific Organizations


DMV, German Mathematicians Society

DAGM, German Pattern Recognition Society

IAPR, International Association for Pattern Recognition

DHV, German Association of University Professors and Lecturers

Research Visits


8/2008: University of Manchester, Manchester, UK.

9/2007: University of Manchester, Manchester, UK.

4/2007-7/2007: Massachusetts Institute of Technology, Cambridge, USA.

4/2003: Max Planck Institute for Biological Kybernetics, Tübingen, Germany.

Workshop/Conference Organization


MoRePaS09, Workshop on Model Reduction of Parametrized Systems
Münster, September 16-18, 2009.

PEMSIM2006, Workshop on Modelling and Simulation of PEM Fuel Cells
Berlin, September 18-20, 2006

Journal Referee Activities


IJMM, International Journal of Modern Mathematics

IEEE TPAMI, Transactions on Pattern Analysis and Machine Intelligence

IEEE TIP, Transactions on Image Processing

IEEE TNN, Transactions on Neural Networks

ACM TOIS, Transactions on Information Systems

JMLR, Journal of Machine Learning Research

Neural Computation

Neurocomputing

Pattern Recognition

Pattern Recognition Letters

IJPRAI, International Journal of Pattern Recognition and Artificial Intelligence

Information Fusion

Signal Processing

IJNS, International Journal of Neural Systems

EJOR, European Journal of Operational Research

SMCB, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

SMCC, IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews

Last modified on Aug. 20, 2008 by B. Haasdonk
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