On the K-Winners-Take-All Network

We present and rigorously analyze a generalization of the Winner(cid:173) Take-All Network: the K-Winners-Take-All Network. This net(cid:173) work identifies the K largest of a set of N real numbers. The network model used is the continuous Hopfield model. The Winner-Take-All Network is a network which identifies the largest of N real numbers. Winner-Take-All Networks have been developed using various neural networks models (Grossberg-73, Lippman-87, Feldman-82, Lazzaro-89).