ヒッツェル，エクハルト   HITZER, Eckhard   ヒッツェル, エクハルト    所属   国際基督教大学教養学部 アーツ・サイエンス学科    職種   上級准教授
言語種別	英語
発行・発表の年月	2007
形態種別	研究論文（国際会議プロシーディングス）
査読	査読あり
標題	Optimal Learning Rates for Clifford Neurons
執筆形態	共著
掲載誌名	International Conference on Artificial Neural Networks, Springer, New York, LNCS
掲載区分	国外
出版社・発行元	Springer
巻・号・頁	4668,pp.864-873
著者・共著者	S. Buchholz, K. Tachibana, HITZER Eckhard
概要	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 .