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IEEE Transactions on Information Theory· 2018Q1

Tensor SVD: Statistical and Computational Limits

Anru R. Zhang, Dong Xia

Short summary

A new framework for tensor SVD reveals three distinct phases based on signal-to-noise ratio (SNR), showing classical methods are optimal at high SNR but fail at low SNR, while optimal estimation at moderate SNR is NP-hard.

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Field: Computational Mathematics

Computational MathematicsMathematics