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In statistics, Tucker decomposition decomposes a tensor into a set of matrices and one small core tensor. It is named after Ledyard R. Tucker although it goes back to Hitchcock in 1927. Initially described as a three-mode extension of factor analysis and principal component analysis it may actually be generalized to higher mode analysis.
It may be regarded as a more flexible PARAFAC (parallel factor analysis ) model. In PARAFAC the core tensor is restricted to be "diagonal".