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Dr. Sven Buchholz
Former Member
| Projects: |
| Geometric Algebras and the Perception-Action Cycle | more... |
| Awards: |
| 2005 | Preis für die beste Promotion des akademischen Jahres 2004/2005, Förderverein der T.F. der CAU zu Kiel | Buchholz, S. | | |
| Publications: | | | 2009 | Carrier method for the general evaluation and control of pose, molecular conformation, tracking and the like
Hitzer, E., Tachibana, K., Buchholz, S., Yu, I.
Advances in Applied Clifford Algebras, Vol. 19, 2009, pp.339-364,
10.1007/s00006-009-0160-9 .
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| 2008 | Polarized 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 |
| 2008 | On Clifford neurons and Clifford multilayer perceptrons
Buchholz, S., Sommer, G.
Neural Networks, 21, 925-935, Sep. 2008.
DOI:
10.1016/j.neunet.2008.03.004. | BibTeX |
| 2008 | On 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 |
| 2008 | Coordinate independent update formulas for versor Clifford neurons
Buchholz, S., Hitzer, E., Tachibana, K.
In Proc. 4th Joint International Conference on Soft Computing and
Intelligent Systems and 9th International Symposium on Advanced
Intelligent Systems (SCIS&ISIS 2008), Nagoya, Japan,
pp. 814-819, September 2008. | PDF , BibTeX |
| 2008 | A multivector teager filter
Buchholz, S., Sommer, G., Schnepel, H.
INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS (IMA), Proc. Mathematics in Signal Processing 8, Cirencester, England, 2008, pp. 88-89 | PDF , BibTeX |
| 2008 | Feature extraction by geometric algebra from geometric data
Pham, M., Tachibana, K., Hitzer, E., Buchholz, S., Yoshikawa, T., Furuhashi, T.
Toukei Suuri (Proc. of the Institute of Mathematical Statistics), 56(2):185-198, December 2008
(in Japanese). | PDF , BibTeX, Abstract |
| 2008 | Feature extractions with geometric algebra for classification of objects
Pham, M., Tachibana, K., Hitzer, E., Buchholz, S.
In Proc. Int. Joint Conf. on Neural Networks (IJCNN 2008), Hong Kong, China, pp. 4070-4074, June 2008.
DOI:
10.1109/IJCNN.2008.4634383 . | BibTeX, Abstract |
| 2007 | Modes 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 |
| 2007 | Optimal learning rates for Clifford neurons
Buchholz, S., Tachibana, K., Hitzer, E.
In Proc. 17th Int. Conf. on Artificial Neural Networks (ICANN 2007), Porto, Portugal, pp. 864-873, September 2007.
| PDF , BibTeX |
| 2006 | Optimal 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 |
| 2006 | Quaternionic 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 |
| 2005 | A Theory of Neural Computation with Clifford Algebra
Buchholz, S.
Technical Report 0504 Christian-Albrechts-Universität zu Kiel, Institut für Informatik, Mai 2005. | PDF , BibTeX |
| 2005 | On 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 |
| 2005 | A Theory of Neural Computation with Clifford Algebra
Buchholz, S.
Dissertation, Institut für Informatik, Christian-Albrechts-Universität zu Kiel, 2005. | PDF , BibTeX |
| 2001 | Introduction 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 |
| 2001 | Clifford 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 |
| 2000 | Learning 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 |
| 2000 | A 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 |
| 2000 | Quaternionic spinor MLP
Buchholz, S., Sommer, G.
In 8th European Symposium on Artificial Neural Networks, ESANN 2000, Bruges, pp. 377-382. 2000 | PDF, PS , BibTeX |
| 1997 | Geometric 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 |
| 1997 | Algebraische Einbettung Neuronaler Netze
Buchholz, S.
| PDF |
| 1996 | A 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 |
| 1996 | Selforganizing 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 |
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