Optimization with the Hopfield network based on correlated noises: Experimental approach

This paper presents two simple optimization techniques based on combining the Langevin Equation with the Hopfield Model. Proposed models referred as Stochastic Model (SM) and Pulsed Noise Model (PNM) can be viewed as straightforward stochastic extensions of the Hopfield optimization network. Both models follow the idea of Stochastic Neural Network [14] and Diffusion Machine [23]. They differ form the referred approaches by the nature of noises and the way of their injection. ∗On leave from Institute of Mathematics, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warsaw, Poland, e-mail: [email protected] This work was supported by the Tempus Phare Mobility Grant no. IMG-95-PL-1014 and the Senior Fulbright Research Grant no. 20895.