Nonmetric Multidimensional Scaling with Neural Networks

In this paper we present a neural network for nonmetric multidimensional scaling. In our approach, the monotone transformation that is a part of every nonmetric scaling algorithm is performed by a special feedforward neural network with a modified backpropagation algorithm. Contrary to traditional methods, we thus explicitly model the monotone transformation by a special purpose neural network. The architecture of the new network and the derivation of the learning rule are given, as well as some experimental results. The experimental results are positive.