This article introduces the functional tensor singular value decomposition (FTSVD), a novel dimension reduction framework for tensors with one mode and several tabular modes. The problem is motivated by high-order longitudinal data analysis. Our model assumes observed to be random realization of an approximate CP low-rank measured on discrete time grid. Incorporating algebra theory reproducing ...

In the area of fault detect for rotating machinery, the vibration signal should be filtered before parameter detection and quality evaluation. For the filtering of the vibration signal, it is needed to keep the linear phase characteristics while obtaining good filtering effect. Aiming at the filtering problem of vibration signal, a filtering algorithm based on singular value subspace decomposit...

Watermarking operation can be defined as a process of embedding special wanted and reversible information in important secure files to protect the ownership or cover file based on proposed singular value decomposition (SVD) watermark. The method for digital watermark has very huge domain constructing final number this mean protecting from conflict. is image need protected. A hidden unique extra...