Title : 
Clifford Hopfield Neural Networks
         
        
            Author : 
Vallejo, Jose Refugio ; Bayro-Corrochano, Eduardo
         
        
            Author_Institution : 
Econ. Sch., Univ. of Guanajuato, Guanajuato
         
        
        
        
        
        
            Abstract : 
This paper presents the properties and the definition of Hopfield neural networks as a natural extension to complex Hopfield neural networks and quaternionic Hopfield neural networks. This extension allows us to generalize the concept of Hopfield neural networks to all type of algebras and also to describe the main characteristics of this networks.
         
        
            Keywords : 
Hopfield neural nets; algebra; Clifford Hopfield neural network; algebra; complex Hopfield neural network; quaternionic Hopfield neural network; Algebra; Computational efficiency; Computer science; Hopfield neural networks; Laboratories; Matrices; Neural networks; Physics; Quaternions; Solid modeling;
         
        
        
        
            Conference_Titel : 
Neural Networks, 2008. IJCNN 2008. (IEEE World Congress on Computational Intelligence). IEEE International Joint Conference on
         
        
            Conference_Location : 
Hong Kong
         
        
        
            Print_ISBN : 
978-1-4244-1820-6
         
        
            Electronic_ISBN : 
1098-7576
         
        
        
            DOI : 
10.1109/IJCNN.2008.4634314