Wlodzislaw Duch Neural minimal distance methods, Third Conference on Neural Networks and Their Applications, Kule, Poland, October 1997, pp. 183-188 Minimal distance methods are simple and in some circumstances highly accurate. In this paper relations between neural and minimal distance methods are investigated. Neural realization facilitates new versions of minimal distance methods. In k-NN (k-nearest-neighbor) method only one parameter is optimized. In NN-r approach k is variable but the radius r is optimized. Parametrization of distance functions, distance-based weighting of neighbors, active selection of reference vectors from the training set and relations to the case-based reasoning are also discussed.