Title :
On viewing the transform performed by a hidden layer in a feedforward ANN, as a complex Mobius mapping
Author :
Dumitras, Adriana ; Lazarescu, Vasile
Author_Institution :
Dept. of Electr. Eng., British Columbia Univ., Vancouver, BC, Canada
Abstract :
The current approach is based on Dumitas´ results (1996) on studying the outcome of the learning process in a feedforward artificial network (FANN), using projections in the complex plane. Possible links between the conformal mappings and the transform performed by a hidden layer in the FANN are investigated. We show that the latter may be viewed as a Mobius transform. The results are checked experimentally and followed by conclusions and topics of future work
Keywords :
feedforward neural nets; learning (artificial intelligence); multilayer perceptrons; transforms; FANN; Mobius transform; complex Mobius mapping; conformal mappings; feedforward ANN; feedforward artificial neural network; hidden layer; Artificial neural networks; Bonding; Computational Intelligence Society; Conformal mapping; Differential equations; Network topology;
Conference_Titel :
Neural Networks,1997., International Conference on
Conference_Location :
Houston, TX
Print_ISBN :
0-7803-4122-8
DOI :
10.1109/ICNN.1997.616193
