Two k-winners-take-all networks with discontinuous activation functions

This paper presents two kk-winners-take-all (kk-WTA) networks with discontinuous activation functions. The kk-WTA operation is first converted equivalently into linear and quadratic programming problems. Then two kk-winners-take-all networks are designed based on the linear and quadratic programming formulations. The networks are theoretically guaranteed to be capable of performing the kk-WTA operation in real time. Simulation results show the effectiveness and performance of the networks.