Parallelizable PARAFAC decomposition of 3-way tensors

This paper introduces a new PARAFAC algorithm for a class of third-order tensors. Particularly, the proposed algorithm is based on subspace estimation and solving a non-symmetrical joint diagonalization problem. To deal with large scale problem, a procedure for overcoming scale and permutation ambig...

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Veröffentlicht in:2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) S. 5505 - 5509
Hauptverfasser: Nguyen, Linh-Trung, Abed-Meraim, Karim
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.04.2015
Schlagworte:
Complexity theory
Joints
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Matrix decomposition
non-symmetrical joint diagonalization
PARAFAC
parallel and distributed computation
Signal processing
Signal processing algorithms
subspace estimation
Tensile stress
Tensor decomposition
ISSN:1520-6149
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:This paper introduces a new PARAFAC algorithm for a class of third-order tensors. Particularly, the proposed algorithm is based on subspace estimation and solving a non-symmetrical joint diagonalization problem. To deal with large scale problem, a procedure for overcoming scale and permutation ambiguities is proposed in a parallel computing scheme leading to a significant cost reduction of our method. Performance comparison with some state-of-the-art algorithms produces promising results.
ISSN:1520-6149
DOI:10.1109/ICASSP.2015.7179024