Theoretical Analysis and Parameter Setting of Hopfield Neural Networks

摘要

This paper analyzes the behavior of Hopfield networks as a method of solving the travelling salesman problem (TSP) with an enhanced formulation of energy function, which is more available than the Hopfield-Tank (H-T) one. The analysis is based on the geometry of the subspace set up by the degenerate eigenvalues of the connection matrix. A set of criterion for parameter settings is derived. The new parameters performed well in the simulations.