In multilinear algebra, a tensor decomposition is any scheme for expressing a "data tensor" (M-way array) as a sequence of elementary operations acting on other, often simpler tensors.
[1][5] The main tensor decompositions are: This section introduces basic notations and operations that are widely used in the field.
A multi-way graph with K perspectives is a collection of K matrices
This collection of matrices is naturally represented as a tensor X of size I × J × K. In order to avoid overloading the term “dimension”, we call an I × J × K tensor a three “mode” tensor, where “modes” are the numbers of indices used to index the tensor.
This linear algebra-related article is a stub.