# nem: Negative Eigenvalue Magnitude In maotai: Tools for Matrix Algebra, Optimization and Inference

## Description

Negative Eigenvalue Magnitude (NEM) is a measure of distortion for the data whether they are lying in Euclidean manner or not. When the value is exactly 0, it means the data is Euclidean. On the other hand, when NEM is far away from 0, it means not Euclidean. The concept of NEM is closely related to the definiteness of a Gram matrix.

## Usage

 1 nem(data) 

## Arguments

 data an (n\times p) matrix whose rows are observations.

## Value

a nonnegative NEM value.

## References

\insertRef

pekalska_noneuclidean_2006maotai

## Examples

 1 2 3 4 5 6 ## use simple example of iris dataset data(iris) mydat = as.matrix(iris[,1:4]) ## calculate NEM nem(mydat) 

maotai documentation built on Feb. 3, 2022, 5:09 p.m.