How to generalize Geometric ICA to higher dimensions

Zusammenfassung

The geometric approach to ICA, proposed by Puntonet and Prieto, has one major drawback --- an exponentially rising number of samples and convergence times with increasing dimensiononality --- thus basically restricting geometric ICA to low-dimensional cases. We propose to apply overcomplete ICA to geometric ICA to reduce high-dimensional problems to lower-dimensional ones, thus generalizing geometric ICA to higher dimensions.