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math.NA2023
A Parallelizable Quaternion Higher-Order Singular Value Decomposition with Applications
Hanxin Ya, Yuning Yang
Higher-order singular value decomposition (HOSVD) is a celebrated tool for tensor data analysis. The sequential HOSVD was recently generalized to the quaternion domain, while a nai…
math.NA2022★ 2 cited
Hot-SVD: Higher-Order t-Singular Value Decomposition for Tensors based on Tensor-Tensor Product
Ying Wang, Yuning Yang
This paper considers a way of generalizing the t-SVD of third-order tensors (regarded as tubal matrices) to tensors of arbitrary order N (which can be similarly regarded as tubal t…