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arXiv · 2301.05937

A tensor SVD-like decomposition based on the semi-tensor product of tensors

Zhuo-Ran Chen·Seak-Weng Vong·Ze-Jia Xie
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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.

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Zhuo-Ran Chen, Seak-Weng Vong, Ze-Jia Xie. 2023-01-14. A tensor SVD-like decomposition based on the semi-tensor product of tensors. https://arxiv.org/abs/2301.05937

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