Christian-Albrechts-University of Kiel Christian-Albrechts-University of Kiel
Faculty of Engineering
Institute of Computer Science 		Cognitive Systems
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Dr. Sven Buchholz


 
Contact:
  • Phone: +49 431 880-7548

  • Fax: +49 431 880-7550

  • Postal Address:
    Christian-Albrechts-Universität zu Kiel
    Institut für Informatik und Praktische Mathematik
    Christian-Albrechts-Platz 4

    D-24118 Kiel
  • Room: 1314


Lectures:
MS1204:-Geometrische Modellierung in Robot Vision (Winter 2008/2009)more...
Übung zu MS1204:-Geometrische Modellierung in Robot Vision (Winter 2008/2009)more...
 
Projects:
Geometric Algebras and the Perception-Action Cyclemore...
 
Awards:
2005Preis für die beste Promotion des akademischen Jahres 2004/2005, Förderverein der T.F. der CAU zu KielBuchholz, S.
 
Publications:
2008Polarized Signal Classification by Complex and Quaternionic Multi-Layer Perceptrons
Buchholz, S., Le Bihan, N.
International Journal of Neural Systems, 18(2):75-85, April 2008. DOI: 10.1142/S0129065708001403. 		 BibTeX, Abstract
2008On Clifford neurons and Clifford multilayer perceptrons
Buchholz, S., Sommer, G.
Neural Networks, 2008. DOI: 10.1016/j.neunet.2008.03.004.		  
2008On the Decision Boundaries of Hyperbolic Neurons
Nitta, T., Buchholz, S.
In Proc. Int. Joint Conf. on Neural Networks (IJCNN 2008), Hong Kong, China, pp. 2973-2979, June 2008. 		PDF , BibTeX, Abstract
2007Modes of climate variability visualized by self-organizing map
Sugimoto, N., Tachibana, K., Buchholz, S.
In Proc. 2nd International Conference on Earth System Modelling (ICESM 2007), Hamburg, Germany, 27-31 August 2007. 		PDF , BibTeX 
2007Optimal learning rates for Clifford neurons
Buchholz, S., Tachibana, K., Hitzer, E.
In Proc. 17th Int. Conf. on Artificial Neural Networks (ICANN 2007), Porto, Portugal, 9-13 September 2007. 		PDF , BibTeX 
2006Optimal separation of polarized signals by quaternionic neural networks
Buchholz, S., Le Bihan, N.
In Proc. 14th European Signal Processing Conference, EUSIPCO 2006, September 4-8, Florence, Italy, 2006. 		PDF , BibTeX 
2006Quaternionic independent component analysis using hypercomplex nonlinearities
Le Bihan, N., Buchholz, S.
In IMA 7th Conference on Mathemathics in Signal Processing, Cirenceister, UK, December 2006, 2006 		PDF , BibTeX, Abstract
2005A Theory of Neural Computation with Clifford Algebra
Buchholz, S.
Technical Report 0504 Christian-Albrechts-Universität zu Kiel, Institut für Informatik, Mai 2005.		PDF , BibTeX 
2005On averaging in Clifford groups
Buchholz, S., Sommer, G.
In Proceedings IWMM 2004 and GiAE 2004 - Computer Algebra and Geometric Algebra with Applications, H. Li, P.J. Olver and G. Sommer (Eds.), LNCS 3519, pp. 229-238, Springer-Verlag, Berlin, Heidelberg, 2005 		PDF , BibTeX 
2005A Theory of Neural Computation with Clifford Algebra
Buchholz, S.
Dissertation, Institut für Informatik, Christian-Albrechts-Universität zu Kiel, 2005.		PDF , BibTeX 
2001Introduction to neural computation in Clifford Algebra
Buchholz, S., Sommer, G.
In G. Sommer, editor, Geometric Computing with Clifford Algebra, pp. 291-314. Springer-Verlag, Heidelberg, 2001 		PDF, PS , BibTeX 
2001Clifford algebra multilayer perceptrons
Buchholz, S., Sommer, G.
In G. Sommer, editor, Geometric Computing with Clifford Algebra, pp. 315-334. Springer-Verlag, Heidelberg, 2001 		PDF, PS , BibTeX 
2000Learning geometric transformations with Clifford neurons
Buchholz, S., Sommer, G.
In G. Sommer and Y. Zeevi, editors, 2nd International Workshop on Algebraic Frames for the Perception-Action Cycle, AFPAC 2000, Kiel, Vol. 1888 of LNCS, pp. 144-153. Springer-Verlag, 2000 		PDF, PS , BibTeX 
2000A hyperbolic multilayer perceptron
Buchholz, S., Sommer, G.
In S.-I. Amari, C.L. Giles, M. Gori and V. Piuri, editors, International Joint Conference on Neural Networks, IJCNN 2000, Como, Italy, Vol. 2 of pp. 129-133. IEEE Computer Society Press, 2000 		PDF, PS , BibTeX 
2000Quaternionic spinor MLP
Buchholz, S., Sommer, G.
In 8th European Symposium on Artificial Neural Networks, ESANN 2000, Bruges, pp. 377-382. 2000 		PDF, PS , BibTeX 
1997Geometric neural networks
Bayro-Corrochano, E., Buchholz, S.
In G. Sommer and J.J. Koenderink, editors, Algebraic Frames for the Perception-Action Cycle, Vol. 1315 of Lecture Notes in Computer Science, pp. 379-394. Int. Workshop AFPACŽ97, Kiel, Springer-Verlag, Heidelberg, 1997 		PDF, PS , BibTeX 
1997Algebraische Einbettung Neuronaler Netze
Buchholz, S.
PDF  
1996A new self-organizing neural network using geometric algebra
Bayro-Corrochano, E., Buchholz, S., Sommer, G.
In Proc. 13th Int. Conf. on Pattern Recognition, Vol. 555 of pp. 555-559. ICPR, 1996 		PDF, PS , BibTeX 
1996Selforganizing Clifford neural network
Bayro-Corrochano, E., Buchholz, S., Sommer, G.
In Int. Conf. Neural Networks, Washington DC, USA, pp. 120-125. IEEE, 1996 		PDF, PS , BibTeX