caa a22 4500 475800923 CHVBK 20180406123736.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1009689025427 doi (NATIONALLICENCE)springer-10.1023/A:1009689025427 Associative Memories in Infinite Dimensional Spaces [Elektronische Daten] [Enrique Segura, Roberto Perazzo] A generalization of the Little-Hopfield neural network model for associative memories is presented that considers the case of a continuum of processing units. The state space corresponds to an infinite dimensional euclidean space. A dynamics is proposed that minimizes an energy functional that is a natural extension of the discrete case. The case in which the synaptic weight operator is defined through the autocorrelation rule (Hebb rule) with orthogonal memories is analyzed. We also consider the case of memories that are not orthogonal. Finally, we discuss the generalization of the non deterministic, finite temperature dynamics. Kluwer Academic Publishers, 2000 associative memory nationallicence dynamical systems nationallicence Glauber dynamics nationallicence Hopfield model nationallicence infinite dimensional state space nationallicence stability nationallicence Segura Enrique Departamento de Computacion, Universidad de Buenos Aires, Pabellon I Ciudad Universitaria, 1428, Buenos Aires, Argentina aut Perazzo Roberto Centro de Estudios Avanzados, Universidad de Buenos Aires, Argentina aut Neural Processing Letters Kluwer Academic Publishers 12/2(2000-10-01), 129-144 1370-4621 12:2<129 2000 12 11063 https://doi.org/10.1023/A:1009689025427 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009689025427 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Segura Enrique Departamento de Computacion, Universidad de Buenos Aires, Pabellon I Ciudad Universitaria, 1428, Buenos Aires, Argentina aut NATIONALLICENCE 700 1- Perazzo Roberto Centro de Estudios Avanzados, Universidad de Buenos Aires, Argentina aut NATIONALLICENCE 773 0- Neural Processing Letters Kluwer Academic Publishers 12/2(2000-10-01), 129-144 1370-4621 12:2<129 2000 12 11063 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer