A One-layer Recurrent Neural Network with a Unipolar Hard-limiting Activation Function for k-Winners-Take-All Operation

This paper presents a one-layer recurrent neural network with a unipolar hard-limiting activation function for k-winners-take-all (kWTA) operation. The kWTA operation is first converted into an equivalent quadratic programming problem. Then a one-layer recurrent neural network is constructed. The neural network is guaranteed to be capable of performing the kWTA operation in real time. The stability and convergence of the neural network are proven by using Lyapunov and nonsmooth analysis methods.