An artificial vision system traning method starts by forming (S2) a feature matrix including feature sample vectors and a corresponding response sample vector including response sample scalars. The method then uses an iterative procedure to determine a linkage vector linking the response sample vector to the feature matrix. This iterative procedure includes the steps: determining (S4) a response sample vector error estimate in the response sample vector domain; transforming (S6) the response sample vector error estimate into a corresponding linkage vector error estimate in the linkage vector domain; determining (S7) a linkage vector estimate in the linkage vector domain by using the linkage vector error estimate; transforming (S8) the linkage vector estimate into a corresponding response sample vector estimate in the response sample vector domain. These steps are repeated until (S5) the response sample vector error estimate is sufficiently small.