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HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
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| Language | English |
| Publication Date | 2007 |
| Type | Research Paper (International Conference Proceedings) |
| Peer Review | With peer review |
| Title | Optimal Learning Rates for Clifford Neurons |
| Contribution Type | Joint Work |
| Journal | International Conference on Artificial Neural Networks, Springer, New York, LNCS |
| Journal Type | Another Country |
| Publisher | Springer |
| Volume, Issue, Pages | 4668,pp.864-873 |
| Author and coauthor | S. Buchholz, K. Tachibana, HITZER Eckhard |
| Details | Neural computation in Clifford algebras, which include familiar complex numbers and quaternions as special cases, has recently become an active research field. As always, neurons are the atoms of computation. The paper provides a general notion for the Hessian matrix of Clifford neurons of an arbitrary algebra. This new result on the dynamics of Clifford neurons then allows the computation of optimal learning rates. A thorough discussion of error surfaces together with simulation results for different neurons is also provided. The presented contents should give rise to very efficient second–order training methods for Clifford Multi-layer perceptrons in the future. |
| DOI | 10.1007/978-3-540-74690-4_88 . |