Analysis of the Hopfield Model Incorporating the Effects of Unlearning (opens in new tab)

arXiv:2602.08428v1 Announce Type: new Abstract: We analyze a variant of the Hopfield model that incorporates an unlearning mechanism based on spin correlations in the high-temperature regime. In the large system limit where extensively many patterns are stored, we employ the replica method under the replica symmetric ansatz to characterize the model analytically. Our analysis provides a systematic and self-consistent framework that yields order-parameter equations and stability conditions at...