首页|Low tubal rank tensor recovery using the Burer-Monteiro factorisation approach. Application to optical coherence tomography

Low tubal rank tensor recovery using the Burer-Monteiro factorisation approach. Application to optical coherence tomography

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In this paper, we study the low-tubal-rank tensor completion problem, i.e., the problem of recovering a third-order tensor by observing a subset of its entries, when these entries are selected uniformly at random. We propose a mathematical analysis of an extension of the Burer-Monteiro factorisation approach to this problem. We then illustrate the use of the Burer-Monteiro approach on a challenging OCT reconstruction problem on both synthetic and real world data, using an alternating minimisation algorithm.(c) 2022 Published by Elsevier B.V.

Tensor completiont-SVDLow rank estimationBurer-Monteiro approachCOMPLETIONDECOMPOSITIONS

Assoweh, Mohamed Ibrahim、Chretien, Stephane、Tamadazte, Brahim

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Univ Franche Comte

FEMTO ST Inst

2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.410
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