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50th Asilomar Conference on Signals, Systems and Computers, Date: 2016/11/01 - 2016/11/01, Location: Pacific Grove, CA, USA

Publication date: 2016-11-01
Pages: 1733 - 1738
ISSN: 9781538639542
Publisher: IEEE COMPUTER SOC

Proc. of the 50th Asilomar Conference on Signals, Systems and Computers

Author:

Vervliet, Nico
Debals, Otto ; De Lathauwer, Lieven ; Matthews, MB

Keywords:

SISTA, BIOTENSORS - 339804;info:eu-repo/grantAgreement/EC/FP7/339804, Science & Technology, Technology, Computer Science, Information Systems, Engineering, Electrical & Electronic, Telecommunications, Computer Science, Engineering, CANONICAL POLYADIC DECOMPOSITION, ALGORITHMS, C16/15/059#53326574

Abstract:

© 2016 IEEE. We give an overview of recent developments in numerical optimization-based computation of tensor decompositions that have led to the release of Tensorlab 3.0 in March 2016 (www.tensorlab.net). By careful exploitation of tensor product structure in methods such as quasi-Newton and nonlinear least squares, good convergence is combined with fast computation. A modular approach extends the computation to coupled factorizations and structured factors. Given large datasets, different compact representations (polyadic, Tucker,...) may be obtained by stochastic optimization, randomization, compressed sensing, etc. Exploiting the representation structure allows us to scale the algorithms for constrained/coupled factorizations to large problem sizes.