The k-NN algorithm for compositional data: a revised approach with and without zero values present

In compositional data, an observation is a vector with non-negative components which sum to constant, typically 1. Data of this type arise in many areas, such as geology, archaeology, biology, economics and political science among others. The goal paper extend the taxicab metric newly suggested for com-positional data by employing power transformation. Both metrics are be used k-nearest neighbours algorithm regardless presence zeros. Examples real exhibited.