Skip to Main content Skip to Navigation
Conference papers

On the non-detectability of spiked large random tensors

Abstract : This paper addresses the detection of a low rank high-dimensional tensor (spike) of order larger than 3, corrupted by an additive complex Gaussian noise. In the asymptotic regime where all the dimensions of the tensor converge towards infinity at the same rate, existing results devoted to rank 1 tensors are extended. It is proved that if a certain parameter depending explicitly on the low rank tensor is below a threshold, then the null hypothesis and the presence of the low rank tensor are undistinguishable hypotheses in the sense that no test performs better than a random choice.
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download
Contributor : Antoine Chevreuil Connect in order to contact the contributor
Submitted on : Wednesday, May 23, 2018 - 3:21:13 PM
Last modification on : Saturday, January 15, 2022 - 3:57:36 AM
Long-term archiving on: : Friday, August 24, 2018 - 10:10:50 PM


Files produced by the author(s)


  • HAL Id : hal-01798509, version 1


Antoine Chevreuil, Philippe Loubaton. On the non-detectability of spiked large random tensors . SSP, Jun 2018, Freiburg, Germany. ⟨hal-01798509⟩



Record views


Files downloads