H. Bersini et al., HOPFIELD NET GENERATION, ENCODING AND CLASSIFICATION OF TEMPORAL TRAJECTORIES, IEEE transactions on neural networks, 5(6), 1994, pp. 945-953
Hopfield network transient dynamics have been exploited for resolving
both path planning and temporal pattern classification. For these prob
lems Lagrangian techniques and two well-known learning algorithms for
recurrent networks have been used. For path planning, the Williams and
Zisper's learning algorithm has been implemented and a set of tempora
l trajectories which join two points, pass through others, avoid obsta
cles and jointly form the shortest path possible are discovered and en
coded in the weights of the net. The temporal pattern classification i
s based on an extension of the Pearlmutter's algorithm for the generat
ion of temporal patterns which is obtained by means of variational met
hods. The algorithm is applied to a simple problem of recognizing five
temporal trajectories with satisfactory robustness to distortions.