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arXiv · 1408.3507

The average number of critical rank-one approximations to a tensor

Jan Draisma·Emil Horobet
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Abstract

Motivated by the many potential applications of low-rank multi-way tensor approximations, we set out to count the rank-one tensors that are critical points of the distance function to a general tensor v. As this count depends on v, we average over v drawn from a Gaussian distribution, and find formulas that relates this average to problems in random matrix theory.

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Jan Draisma, Emil Horobet. 2014-08-15. The average number of critical rank-one approximations to a tensor. https://arxiv.org/abs/1408.3507

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