tensorICA (Tensorial Independent Component Analysis)

TensorICA (Tensorial Independent Component Analysis) package is designed for fast decomposition analysis of tensor-valued multi-omic data. It contains several functions for decomposing multi-omic tensor-valued data implementing two tensorial ICA methods and several utility functions for visualizing the relationship between component against phenotype to help with feature selection. Tensorial ICA aims to infer from a data-tensor statistically independent sources of data variation, which should better correspond to underlying biological factors. Since biological sources of data variation are generally non-Gaussian and often sparse, the statistical independence assumption implicit in the ICA formalism can help improve the deconvolution of complex mixtures and thus better identify the true sources of data variation. The package includes two tensorial methods: JADE and FOBI.