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Constructing low-rank Tucker tensor approximations using generalized completion

Russian Journal of Numerical Analysis and Mathematical Modelling, ISSN: 1569-3988, Vol: 39, Issue: 2, Page: 113-119
2024
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Article Description

The projected gradient method for matrix completion is generalized towards the higher-dimensional case of low-rank Tucker tensors. It is shown that an operation order rearrangement in the common projected gradient approach provides a complexity improvement. An even better algorithm complexity can be obtained by replacing the completion operator by a general operator that satisfies restricted isometry property; however, such a replacement transforms the completion algorithm into an approximation algorithm.

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