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Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis

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Cichocki, Andrzej, Mandic, Danilo, De Lathauwer, Lieven, Zhou, Guoxu, Zhao, Qibin, Caiafa, Cesar, PHAN, HUY ANH·2015·IEEE Signal Processing Magazine

Abstract

The widespread use of multisensor technology and the emergence of big data sets have highlighted the limitations of standard flat-view matrix models and the necessity to move toward more versatile data analysis tools. We show that higher-order tensors (i.e., multiway arrays) enable such a fundamental paradigm shift toward models that are essentially polynomial, the uniqueness of which, unlike the matrix methods, is guaranteed under very mild and natural conditions. Benefiting from the power of multilinear algebra as their mathematical backbone, data analysis techniques using tensor decompositions are shown to have great flexibility in the choice of constraints which match data properties and extract more general latent components in the data than matrix-based methods.

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Metadata

Authors
Cichocki, A., Mandic, D., De Lathauwer, L., Zhou, G., Zhao, Q., Caiafa, C., & PHAN, H. A.
Venue
IEEE Signal Processing Magazine
Published
2015-03
Volume
32
Issue
2
Pages
145-163
ISSN
1053-5888 (ISSN-L)
OpenAlex
W2119412403
Cited by
1,384
References
0
FWCI
40.87
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis. https://app.cochat.ai/papers/10.1109/msp.2013.2297439
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Cichocki, A., Mandic, D., De Lathauwer, L., Zhou, G., Zhao, Q., Caiafa, C., & PHAN, H. A. (2015). Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis. IEEE Signal Processing Magazine. https://doi.org/10.1109/msp.2013.2297439

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