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We study the optimization problem for decomposing $d$ dimensional fourth-order Tensors with $k$ non-orthogonal components.
Foundations of the parafac procedure: Models and conditions for an" explanatory" multimodal factor analysis
Harshman · 1970
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J. B. Kruskal · 1977
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Tensor rank is np-complete
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A decomposition for three-way arrays
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A tensor approach to learning mixed membership community models
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Tensor decompositions for learning latent variable models
A. Anandkumar, R. Ge, D. Hsu, S. M. Kakade, and M. Telgarsky
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Guaranteed non-orthogonal tensor decomposition via alternating rank- 1 1 updates
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