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- W3195072012 abstract "A novel tensor product for third order quaternion tensors is proposed. With this tensor product, we further define the singular value decomposition and the rank of a third order quaternion tensor. It is also proved that the best rank-k approximation of a third order quaternion tensor exists. On the other hand, note that a color video can be expressed as a third order quaternion tensor, the proposed singular value decomposition thus opens up a new way to analyze the structure of color video. Finally, some experiments are performed to demonstrate the low-rankness of color videos." @default.
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- W3195072012 date "2022-01-01" @default.
- W3195072012 modified "2023-10-18" @default.
- W3195072012 title "Singular value decomposition of third order quaternion tensors" @default.
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- W3195072012 doi "https://doi.org/10.1016/j.aml.2021.107597" @default.
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