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Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis
Open accessAbstract
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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Cited by
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Lotte, F., Bougrain, L., Cichocki, A., Clerc, M., Congedo, M., Rakotomamonjy, A., & Yger, F. (2018) · Journal of Neural Engineering · doi:10.1088/1741-2552/aab2f2 · Cited by 2,239
Self-citationTensor Decomposition for Signal Processing and Machine Learning
Sidiropoulos, N. D., De Lathauwer, L., Fu, X., Huang, K., Papalexakis, E. E., & Faloutsos, C. (2017) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2017.2690524 · Cited by 1,617
Self-citationMultimodal Data Fusion: An Overview of Methods, Challenges, and Prospects
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Zhao, Q., Zhou, G., Xie, S., Zhang, L., & Cichocki, A. S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1606.05535 · Cited by 284
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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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- 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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