Publications of Dr. Jochen Garcke

Journal Articles:

[1] Jochen Garcke and Markus Hegland. Fitting multidimensional data using gradient penalties and the sparse grid combination technique. Computing, 84(1-2):1-25, April 2009. [ bib | DOI | http | .pdf | Abstract ]
[2] Gregory Beylkin, Jochen Garcke, and Martin J. Mohlenkamp. Multivariate regression and machine learning with sums of separable functions. SIAM Journal on Scientific Computing, 31(3):1840-1857, 2009. [ bib | DOI | http | .pdf ]
[3] M. Hegland, J. Garcke, and V. Challis. The combination technique and some generalisations. Linear Algebra and its Applications, 420(2-3):249-275, 2007. [ bib | DOI | .pdf | Abstract ]
[4] J. Garcke, M. Hegland, and O. Nielsen. Parallelisation of sparse grids for large scale data analysis. ANZIAM Journal, 48(1):11-22, 2006. [ bib | .pdf | Abstract ]
[5] J. Garcke and M. Griebel. Classification with sparse grids using simplicial basis functions. Intelligent Data Analysis, 6(6):483-502, 2002. [ bib | http | .ps.gz | .pdf | Abstract ]
[6] J. Garcke, M. Griebel, and M. Thess. Data mining with sparse grids. Computing, 67(3):225-253, 2001. [ bib | DOI | http | .ps.gz | .pdf | Abstract ]
[7] J. Garcke and M. Griebel. On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique. Journal of Computational Physics, 165(2):694-716, 2000. [ bib | DOI | http | .ps.gz | .pdf | Abstract ]

Refereed Proceedings in Machine Learning/Data Mining:

[1] J. Garcke. Classification with sums of separable functions. In José Balcázar, Francesco Bonchi, Aristides Gionis, and Michèle Sebag, editors, ECML PKDD 2010, Part I, volume 6321 of LNAI, pages 458-473, 2010. [ bib | .pdf | Abstract ]
[2] S. Börm and J. Garcke. Approximating gaussian processes with H2-matrices. In Joost N. Kok, Jacek Koronacki, Ramon Lopez de Mantaras, Stan Matwin, Dunja Mladen, and Andrzej Skowron, editors, Proceedings of 18th European Conference on Machine Learning, Warsaw, Poland, September 17-21, 2007. ECML 2007, volume 4701, pages 42-53, 2007. [ bib | DOI | .pdf | Abstract ]
[3] Jochen Garcke. Regression with the optimised combination technique. In W. Cohen and A. Moore, editors, Proceedings of the 23rd ICML '06, pages 321-328, New York, NY, USA, 2006. ACM Press. [ bib | DOI | .pdf | Abstract ]
[4] J. Garcke and M. Griebel. Data mining with sparse grids using simplicial basis functions. In F. Provost and R. Srikant, editors, Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, San Francisco, USA, pages 87-96, 2001. [ bib | DOI | http | .ps.gz | .pdf | Abstract ]

Submissions, Proceedings, Book Contributions, Others:

[1] Markus Hegland and Jochen Garcke. On the numerical solution of the chemical master equation with sums of rank one tensors. In W. McLean and A. J. Roberts, editors, Proceedings of the 15th Biennial Computational Techniques and Applications Conference, CTAC-2010, volume 52 of ANZIAM J., pages C628-C643, August 2011. [ bib | http | .pdf ]
[2] Jochen Garcke. A dimension adaptive sparse grid combination technique for regression. 2011. accepted. [ bib ]
[3] J. Garcke, T. Gerstner, and M. Griebel. Intraday foreign exchange rate forecasting using sparse grids. 2010. submitted, also available as INS Preprint No. 1006. [ bib | .pdf | Abstract ]
[4] Jochen Garcke, Michael Griebel, and Michael Thess. Data mining for the category management in the retail market. In Martin Grötschel, Klaus Lucas, and Volker Mehrmann, editors, Production Factor Mathematics, pages 81-92. Springer Berlin Heidelberg, 2010. [ bib | DOI ]
[5] J. Garcke. Sparse grid tutorial. , 2008. [ bib | .pdf ]
[6] Jochen Garcke. An optimised sparse grid combination technique for eigenproblems. In Proceedings of ICIAM 2007, volume 7 of PAMM, pages 1022301-1022302, 2008. [ bib | DOI | .pdf ]
[7] J. Garcke, M. Griebel, and M. Thess. Data-Mining für die Angebotsoptimierung im Handel. In M. Grötschel, K. Lucas, and V. Mehrmann, editors, Produktionsfaktor Mathematik, acatech diskutiert, pages 111-123. Springer, 2008. [ bib | DOI | .pdf | Abstract ]
[8] Jochen Garcke and Markus Hegland. Fitting multidimensional data using gradient penalties and combination techniques. In H.G. Bock, E. Kostina, X.P. Hoang, and R. Rannacher, editors, Proceedings of HPSC 2006, Hanoi, Vietnam, pages 235-248, 2008. [ bib | .pdf | Abstract ]
[9] Jochen Garcke. A dimension adaptive sparse grid combination technique for machine learning. In Wayne Read, Jay W. Larson, and A. J. Roberts, editors, Proceedings of the 13th Biennial Computational Techniques and Applications Conference, CTAC-2006, volume 48 of ANZIAM J., pages C725-C740, 2007. [ bib | http | .pdf | Abstract ]
[10] Jochen Garcke and Michael Griebel. Semi-supervised learning with sparse grids. In Massih-Reza Amini, Olivier Chapelle, and Rayid Ghani, editors, Proceedings of ICML, Workshop on Learning with Partially Classified Training Data, pages 19-28, 2005. [ bib | .pdf | Abstract ]
[11] J. Garcke, M. Hegland, and O. Nielsen. Parallelisation of sparse grids for large scale data analysis. In P. Sloot, D. Abramson, A. Bogdanov, J. Dongarra, A. Zomaya, and Y. Gorbachev, editors, Proceedings of the International Conference on Computational Science 2003 (ICCS 2003) Melbourne, Australia, volume 2659 of Lecture Notes in Computer Science, pages 683-692. Springer, 2003. [ bib | .pdf | Abstract ]
[12] J. Garcke and M. Griebel. On the parallelization of the sparse grid approach for data mining. In S. Margenov, J. Wasniewski, and P. Yalamov, editors, Large-Scale Scientific Computations, Third International Conference, LSSC 2001, Sozopol, Bulgaria, volume 2179 of Lecture Notes in Computer Science, pages 22-32. Springer, 2001. [ bib | .ps.gz | .pdf | Abstract ]

Theses:

[1] J. Garcke. Maschinelles Lernen durch Funktionsrekonstruktion mit verallgemeinerten dünnen Gittern. Doktorarbeit, Institut für Numerische Simulation, Universität Bonn, 2004. [ bib | http | .pdf ]
[2] J. Garcke. Berechnung von Eigenwerten der stationären Schrödingergleichung mit der Kombinationstechnik. Diplomarbeit,thesis, Institut für Angewandte Mathematik, Universität Bonn, 1998. [ bib | .ps.gz | .pdf ]