Fig. 2

Influence of Lipschitz embedding on two different data analysis tasks. The left plot shows the rate of correct nearest neighbour classifications depending on parameters d and k of the Lipschitz embedding. The right plot shows the Spearman correlation \(\rho\) between original and approximated distances for different choices of d and k of all distances in the data files to two fixed points. The black lines refer to a fixed point in the centre of England whereas the grey lines refer to a fixed point in the north of England