An Introduction to the Complete Lattice Projection Autoassociative Memories: Definitions and Examples

Abstract

An autoassociative memory is an input-output system designed for the storage and recall of a finite set of items. In this work, we present the class of complete lattice projection autoassociative memories (CLPAMs). A CLPAM is a non-distributive autoassociative memory defined by a neural network with a hidden layer of morphological neurons. More importantly, a CLPAM is formulated using only the partial ordering of a complete lattice. As an example of CLPAM, we introduce the so called distance-based projection autoassociative memories (DBPAMs) which exhibit an excellent tolerance to salt-and-pepper noise.