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# Statistical limits of spiked tensor models

@article{Perry2016StatisticalLO, title={Statistical limits of spiked tensor models}, author={Amelia Perry and Alexander S. Wein and Afonso S. Bandeira}, journal={CoRR}, year={2016}, volume={abs/1612.07728} }

- Published 2016 in ArXiv

We study the statistical limits of both detecting and estimating a rank-one deformation of a symmetric random Gaussian tensor. We establish upper and lower bounds on the critical signal-to-noise ratio, under a variety of priors for the planted vector: (i) a uniformly sampled unit vector, (ii) i.i.d. ±1 entries, and (iii) a sparse vector where a constant fraction ρ of entries are i.i.d. ±1 and the rest are zero. For each of these cases, our upper and lower bounds match up to a 1+o(1) factor as… CONTINUE READING

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