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A polynomial formulation for joint decomposition of symmetric tensors of different orders

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9237 22-30
DOI: 10.1007/978-3-319-22482-4_3
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Abstract

We consider two models: simultaneous CP decomposition of several symmetric tensors of different orders and decoupled representations of multivariate polynomial maps. We show that the two problems are related and propose a unified framework to study the rank properties of these models.

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Comon, P., Qi, Y., & Usevich, K. (2015). A polynomial formulation for joint decomposition of symmetric tensors of different orders. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9237, pp. 22–30). Springer Verlag. https://doi.org/10.1007/978-3-319-22482-4_3

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