title: Two k-winners-take-all networks with discontinuous activation functions.
abstract: This paper presents two k-winners-take-all (k-WTA) networks with discontinuous activation functions. The k-WTA operation is first converted equivalently into linear and quadratic programming problems. Then two k-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 k-WTA operation in real time. Simulation results show the effectiveness and performance of the networks.
authors.affiliation: Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong. qsliu@mae.cuhk.edu.hk
authors.forename: Qingshan
authors.initials: Q
authors.lastname: Liu
authors.forename: Jun
authors.initials: J
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D011382:Programming, Linear