invariant: Account for invariance of configurations.

In MEclustnet: Fit the Mixture of Experts Latent Position Cluster Model to Network Data

Description

This function accounts for the fact that configurations in the latent space are invariant to rotations, reflections and translations.

Usage

invariant(z, zMAP)

Arguments

z	An n x d matrix of latent locations in the d dimensional space for each of n nodes.
zMAP	The maximum a posteriori configuration of latent locations used as the template to which all sampled configurations are mapped.

Details

Procrustean rotations, reflections and translations (note: NOT dilations) are employed to best match z to zMAP.

Value

The transformed version of the input configuration z that best matches zMAP.

References

Isobel Claire Gormley and Thomas Brendan Murphy. (2010) A Mixture of Experts Latent Position Cluster Model for Social Network Data. Statistical Methodology, 7 (3), pp.385-405.

See Also

MEclustnet

MEclustnet documentation built on Oct. 10, 2019, 5:04 p.m.