EFFICIENT COMPUTATION OF THE TUCKER DECOMPOSITION AND MOMENT TENSOR

Abstract

Data can be organized in different ways. It is called a vector when organized as a 1D list, a matrix when organized as a 2D grid, and a tensor when organized as a grid of 3 or more dimensions. Tensor datasets are ubiquitous in scientific research. Examples include brain fMRI data, hyperspectral images, and results generated from physics simulations. Similar to matrix decompositions, tensor decompositions can be used to compress data and to find the data's underlying structure.