Exponential Transients in Continuous-Time Symmetric Hopfield Nets (2001)
AUTHORS:
Šima Ji\vri,
Orponen Pekka
BOOKTITLE:
Proceedings of Artificial Neural Networks -- ICANN 2001 (Vienna, August 2001)
SERIES:
Lecture Notes in Computer Science
VOLUME:
2130
PAGES:
806--813
URL:
http://link.springer.de/link/service/series/0558/papers/2130/21300806.pdf
@inproceedings{ SiOr01b, editor = "Dorffner, G. and Bischof, H. and Hornik, K.", author = "{\v{S}}{\'{\i}}ma, Ji{\v{r}}{\'{\i}} and Orponen, Pekka", publisher = "Springer-Verlag", title = "Exponential Transients in Continuous-Time Symmetric {H}opfield Nets", url = "http://link.springer.de/link/service/series/0558/papers/2130/21300806.pdf", series = "Lecture Notes in Computer Science", booktitle = "Proceedings of Artificial Neural Networks -- ICANN 2001 (Vienna, August 2001)", address = "Berlin Heidelberg", abstract = "We establish a fundamental result in the theory of continuous-time neural computation, by showing that so called continuous-time symmetric Hopfield nets, whose asymptotic convergence is always guaranteed by the existence of a Liapunov function may, in the worst case, possess a transient period that is exponential in the network size. The result stands in contrast to e.g. the use of such network models in combinatorial optimization applications.", volume = "2130", flags = "public", year = "2001", keywords = "dynamical systems, continuous time, neural networks, Hopfield model, convergence time", pages = "806--813" }