Analog integrated circuits for the Lotka-Volterra competitive neural networks

Abstract—A subthreshold MOS integrated circuit (IC) is de-signed and fabricated for implementing a competitive neural network of the Lotka–Volterra (LV) type which is derived from conventional membrane dynamics of neurons and is used for the selection of external inputs. The steady-state solutions to the LV equation can be classified into three types, each of which represents qualitatively different selection behavior. Among the solutions, the winners-share-all (WSA) solution in which a certain number of neurons remain activated in steady states is particu-larly useful owing to robustness in the selection of inputs from a noisy environment. The measured results of the fabricated LV IC’s agree well with the theoretical prediction as long as the influence of device mismatches is small. Furthermore, results of extensive circuit simulations prove that the large-scale LV circuit producing the WSA solution does exhibit a reliable selection compared with winner-take-all circuits, in the possible presence of device mismatches. Index Terms — Analog integrated circuits, neural-network hardware, winner-take-all, winners-share-all