Quaternion tensor singular value decomposition using a flexible transform-based approach

Jifei Miao, Kit Ian Kou

A flexible transform-based tensor product named ${\star }_{\mathrm{QT}}$-product for $L$th-order ($L\ge 3$) quaternion tensors is proposed. Based on the ${\star }_{\mathrm{QT}}$-product, we def…