Mabayes {DA}

Membership assignment by weighted Mahalanobis distance and bayes rule

Description

The function gives the discrimintion of the potential classes based on Bayes rule and the Mahalanobis distance. This function adopts the function from Bingpei Wu, 2012, WMDB 1.0 with some corrections of the judement rule.

Usage

Mabayes(TrnX, TrnG, p = rep(1, length(levels(TrnG))), TstX = NULL, var.equal = FALSE, tol)

Arguments

TrnX

Training data

TrnG

Training label

p

prior or proportion of each class

TstX

Test data

var.equal

whether the variance or the weight is equal between classes

tol

The threshold or tolerance value for the covariance and distance

Value

posterior and class

The posterior possibility and class labels

Author(s)

[e-mail]

References

Bingpei Wu, 2012, WMDB 1.0: Discriminant Analysis Methods by Weight Mahalanobis Distance and bayes.

Ito, Y., Srinivasan, C., Izumi, H. (2006, September). Discriminant analysis by a neural network with Mahalanobis distance. In International Conference on Artificial Neural Networks (pp. 350-360). Springer, Berlin, Heidelberg.

Wolfel, M., Ekenel, H. K. (2005, September). Feature weighted Mahalanobis distance: improved robustness for Gaussian classifiers. In 2005 13th European signal processing conference (pp. 1-4). IEEE.

Examples

data(iris)
train=Mabayes(iris[,1:4],iris[,5],TstX= iris[1:10,1:4],tol = 1)