A Linear Metric for Multivariate Discrete Finite Data Based on Data-derived Analytical Meshes

Abstract

In this article, we show how to define a metric on a fixed interval I ⊆ R. This metric measures the degree of overlap of two groups of linear data. Then we extend this metric to multivariate discrete data via linearization of the data via the data-based analytical meshes, which is uniquely determined by the given data. We also demonstrate how to apply this metric. This metric is novel and could be applied further in dealing with high-dimension data and could also be used in the real world problems.