25 results
(View BibTeX file of all listed publications)

**How the result of graph clustering methods depends on the construction of the graph**
*ESAIM: Probability & Statistics*, 17, pages: 370-418, January 2013 (article)

**Nonparametric Regression between General Riemannian Manifolds**
*SIAM Journal on Imaging Sciences*, 3(3):527-563, September 2010 (article)

**Getting lost in space: Large sample analysis of the resistance distance**
In *Advances in Neural Information Processing Systems 23*, pages: 2622-2630, (Editors: Lafferty, J. , C. K.I. Williams, J. Shawe-Taylor, R. S. Zemel, A. Culotta), Curran, Red Hook, NY, USA, Twenty-Fourth Annual Conference on Neural Information Processing Systems (NIPS), 2010 (inproceedings)

**Influence of graph construction on graph-based clustering measures**
In *Advances in neural information processing systems 21*, pages: 1025-1032, (Editors: Koller, D. , D. Schuurmans, Y. Bengio, L. Bottou), Curran, Red Hook, NY, USA, Twenty-Second Annual Conference on Neural Information Processing Systems (NIPS), June 2009 (inproceedings)

**Non-parametric Regression between Riemannian Manifolds**
In *Advances in neural information processing systems 21*, pages: 1561-1568, (Editors: Koller, D. , D. Schuurmans, Y. Bengio, L. Bottou), Curran, Red Hook, NY, USA, Twenty-Second Annual Conference on Neural Information Processing Systems (NIPS), June 2009 (inproceedings)

**Optimal construction of k-nearest-neighbor graphs for identifying noisy clusters**
*Theoretical Computer Science*, 410(19):1749-1764, April 2009 (article)

**Thin-Plate Splines Between Riemannian Manifolds**
Workshop on Geometry and Statistics of Shapes, June 2008 (talk)

**Manifold-valued Thin-plate Splines
with Applications in Computer Graphics**
*Computer Graphics Forum*, 27(2):437-448, April 2008 (article)

**Energy Functionals for
Manifold-valued Mappings and
Their Properties**
(167), Max Planck Institute for Biological Cybernetics, Tübingen, January 2008 (techreport)

**Cluster Identification in Nearest-Neighbor Graphs**
In *ALT 2007*, pages: 196-210, (Editors: Hutter, M. , R. A. Servedio, E. Takimoto), Springer, Berlin, Germany, 18th International Conference on Algorithmic Learning Theory, October 2007 (inproceedings)

**Manifold Denoising**
In *Advances in Neural Information Processing Systems 19*, pages: 561-568, (Editors: Schölkopf, B. , J. Platt, T. Hofmann), MIT Press, Cambridge, MA, USA, Twentieth Annual Conference on Neural Information Processing Systems (NIPS), September 2007 (inproceedings)

**Manifold Denoising as Preprocessing for Finding Natural Representations of Data**
In *AAAI-07*, pages: 1646-1649, AAAI Press, Menlo Park, CA, USA, Twenty-Second AAAI Conference on Artificial Intelligence (AAAI-07), July 2007 (inproceedings)

**Graph Laplacians and their Convergence on Random Neighborhood Graphs**
*Journal of Machine Learning Research*, 8, pages: 1325-1370, June 2007 (article)

**Cluster Identification in Nearest-Neighbor Graphs**
(163), Max-Planck-Institute for Biological Cybernetics, Tübingen, Germany, May 2007 (techreport)

**Uniform Convergence of Adaptive Graph-Based Regularization**
In *COLT 2006*, pages: 50-64, (Editors: Lugosi, G. , H.-U. Simon), Springer, Berlin, Germany, 19th Annual Conference on Learning Theory, September 2006 (inproceedings)

**Geometrical aspects of statistical learning theory**
Biologische Kybernetik, Darmstadt, Darmstadt, November 2005 (phdthesis)

**Maximal Margin Classification for Metric Spaces**
*Journal of Computer and System Sciences*, 71(3):333-359, October 2005 (article)

**Hilbertian Metrics and Positive Definite Kernels on Probability Measures**
In *AISTATS 2005*, pages: 136-143, (Editors: Cowell, R. , Z. Ghahramani), Tenth International Workshop on Artificial Intelligence and Statistics (AI & Statistics), January 2005 (inproceedings)

**Intrinsic Dimensionality Estimation of Submanifolds in Euclidean space**
In *Proceedings of the 22nd International Conference on Machine Learning*, pages: 289 , (Editors: De Raedt, L. , S. Wrobel), ICML Bonn, 2005 (inproceedings)

**From Graphs to Manifolds - Weak and Strong Pointwise Consistency of Graph Laplacians**
In *Proceedings of the 18th Conference on Learning Theory (COLT)*, pages: 470-485, Conference on Learning Theory, 2005, Student Paper Award (inproceedings)

**Hilbertian Metrics and Positive Definite Kernels on Probability Measures**
(126), Max Planck Institute for Biological Cybernetics, Tübingen, Germany, July 2004 (techreport)

**Kernels, Associated Structures and Generalizations**
(127), Max Planck Institute for Biological Cybernetics, Tübingen, Germany, July 2004 (techreport)

**Measure Based Regularization**
In *Advances in Neural Information Processing Systems 16*, pages: 1221-1228, (Editors: Thrun, S., L. Saul, B. Schölkopf), MIT Press, Cambridge, MA, USA, Seventeenth Annual Conference on Neural Information Processing Systems (NIPS), June 2004 (inproceedings)

**Maximal Margin Classification for Metric Spaces**
In *Learning Theory and Kernel Machines*, pages: 72-86, (Editors: Schölkopf, B. and Warmuth, M. K.), Springer, Heidelberg, Germany, 16. Annual Conference on Computational Learning Theory / COLT Kernel, 2004 (inproceedings)

**Numerical evolution of axisymmetric, isolated
systems in general relativity**
*Physical Review D*, 66, pages: 124004-124004, 2002 (article)