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Titlebook: Latent Variable Analysis and Signal Separation; 14th International C Yannick Deville,Sharon Gannot,Dominic Ward Conference proceedings 2018

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Some Issues in Computing the CP Decomposition of NonNegative Tensorsindeterminacy appears whereas it is not inherent in the decomposition, and the choice of scaling factors has an impact during the execution of iterative algorithms and should not be overlooked. Computer experiments support the interest in the greedy algorithm proposed, in the case of the CP decomposition.
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Nonnegative PARAFAC2: A Flexible Coupling Approachs not been possible. In the following manuscript, a relaxation of the PARAFAC2 model is introduced, that allows for imposing nonnegativity constraints on the varying mode. An algorithm to compute the proposed flexible PARAFAC2 model is derived, and its performance is studied on both synthetic and chemometrics data.
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Variable Projection Applied to Block Term Decomposition of Higher-Order Tensorse of a higher-order tensor by a block term decomposition. Using variable projection, we express the tensor approximation problem as a minimization of a cost function on a Cartesian product of Stiefel manifolds. The effect of variable projection on the Riemannian gradient algorithm is studied through numerical experiments.
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