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A tensor SVD-like decomposition based on the semi-tensor product of tensors (2301.05937v1)
Published 14 Jan 2023 in math.NA and cs.NA
Abstract: In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm. This decomposition strategy actually generalizes the tensor SVD based on semi-tensor product. Due to the characteristic of semi-tensor product for compressing the data scale, we can therefore achieve data compression in this way. Numerical comparisons are given to show the advantages of this decomposition.