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Fast Nonnegative Tensor Factorizations with Tensor Train Model
Lobachevskii Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continuation methods for nonnegative rank‐1 approximation of nonnegative tensors
Numerical Linear Algebra with Applications, 2021AbstractIn this article, the rank‐1 approximation of a nonnegative tensor is considered. Mathematically, the approximation problem can be formulated as an optimization problem. The Karush–Kuhn–Tucker (KKT) point of the optimization problem can be obtained by computing the nonnegative Z‐eigenvectoryof enlarged tensor . Therefore, we propose an iterative
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Nonnegative tensors revisited: plane stochastic tensors
Linear and Multilinear Algebra, 2018In this paper, we develop and enrich the theory of nonnegative tensors. We define the sign nonsingular tensors and establish the relationship between the combinatorial determinant and the permanent...
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