mlbench.threenorm {mlbench} | R Documentation

## 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,...,a) and from a unit multivariate normal with mean (-a,-a,...,-a). Class 2 is drawn from a multivariate normal with mean at (a,-a,a, ...,-a), a=2/d^{-0.5}.

### Usage

    mlbench.threenorm(n, d=20)

### Arguments

`n` | number of patterns to create
`d` | dimension of the threenorm problem

### Value

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

`x` | input values
`classes` | factor vector of length `n` with target classes

### 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)

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