ica {e1071}R Documentation

Independent Component Analysis


This is an R-implementation of the Matlab-Function of Petteri.Pajunen@hut.fi.

For a data matrix X independent components are extracted by applying a nonlinear PCA algorithm. The parameter fun determines which nonlinearity is used. fun can either be a function or one of the following strings "negative kurtosis", "positive kurtosis", "4th moment" which can be abbreviated to uniqueness. If fun equals "negative (positive) kurtosis" the function tanh (x-tanh(x)) is used which provides ICA for sources with negative (positive) kurtosis. For fun == "4th moments" the signed square function is used.


ica(X, lrate, epochs=100, ncomp=dim(X)[2], fun="negative")


X The matrix for which the ICA is to be computed
lrate learning rate
epochs number of iterations
ncomp number of independent components
fun function used for the nonlinear computation part


An object of class "ica" which is a list with components

weights ICA weight matrix
projection Projected data
epochs Number of iterations
fun Name of the used function
lrate Learning rate used
initweights Initial weight matrix


Currently, there is no reconstruction from the ICA subspace to the original input space.


Andreas Weingessel


Oja et al., ``Learning in Nonlinear Constrained Hebbian Networks'', in Proc. ICANN-91, pp. 385–390.

Karhunen and Joutsensalo, ``Generalizations of Principal Component Analysis, Optimization Problems, and Neural Networks'', Neural Networks, v. 8, no. 4, pp. 549–562, 1995.

[Package e1071 version 1.5-2 Index]