mlbench (version 2.1-3.1)

mlbench.threenorm: Threenorm Benchmark Problem

Description

The inputs of the threenorm problem are points from two Gaussian distributions with unit covariance matrix. Class 1 is drawn with equal probability from a unit multivariate normal with mean $(a,a,\dots ,a)$ and from a unit multivariate normal with mean $(-a,-a,\dots ,-a)$. Class 2 is drawn from a multivariate normal with mean at $(a,-a,a,\dots ,-a)$, $a=2/d^{0.5}$.

Usage

mlbench.threenorm(n, d=20)

Value

Returns an object of class "mlbench.threenorm" with components

x

input values

classes

factor vector of length n with target classes

Arguments

n

number of patterns to create

d

dimension of the threenorm problem

References

Breiman, L. (1996). Bias, variance, and arcing classifiers. Tech. Rep. 460, Statistics Department, University of California, Berkeley, CA, USA.

Examples

p<-mlbench.threenorm(1000, d=2)
plot(p)