Improved one-shot learning for feedforward associative memorieswith application to composite pattern association

The local identical index (LII) associative memory (AM) proposed by the authors in a previous paper is a one-shot feedforward structure designed to exhibit no spurious attractors. In this paper we relax the latter design constraint in exchange for enlarged basins of attraction and we develop a family of modified LII AM networks that exhibit improved performance, particularly in memorizing highly correlated patterns. The new algorithm meets the requirement of no spurious attractors only in a local sense. Finally, we show that the modified LII family of networks can accommodate composite patterns of any size by storing (memorizing) only the basic (prime) prototype patterns. The latter property translates to low learning complexity and a simple network structure with significant memory savings. Simulation studies and comparisons illustrate and support the the optical developments.