An NPDo approach is developed for computing Principal Tensor Block-Diagonalization of tensors, generalizing Tucker decomposition and approximate tensor SVD, with a Gauss-Seidel update shown to be globally convergent to a stationary point.
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The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.
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An NPDo Approach for Tensor Block-Diagonalization
An NPDo approach is developed for computing Principal Tensor Block-Diagonalization of tensors, generalizing Tucker decomposition and approximate tensor SVD, with a Gauss-Seidel update shown to be globally convergent to a stationary point.
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Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition
The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.