The k-NN algorithm for compositional data: a revised approach with and without zero values present
Methodology
2015-06-18 v1
Abstract
In compositional data, an observation is a vector with non-negative components which sum to a constant, typically 1. Data of this type arise in many areas, such as geology, archaeology, biology, economics and political science among others. The goal of this paper is to extend the taxicab metric and a newly suggested metric for compositional data by employing a power transformation. Both metrics are to be used in the k-nearest neighbours algorithm regardless of the presence of zeros. Examples with real data are exhibited.
Cite
@article{arxiv.1506.05216,
title = {The k-NN algorithm for compositional data: a revised approach with and without zero values present},
author = {Michail Tsagris},
journal= {arXiv preprint arXiv:1506.05216},
year = {2015}
}
Comments
This manuscript will appear at the. http://www.jds-online.com/volume-12-number-3-july-2014