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Cited by 1,617

The DOI matches its Crossref record; 106 of the 106 references it cites were found in a registry or an index.

Tensor Decomposition for Signal Processing and Machine Learning

Open access
Sidiropoulos, Nicholas D., De Lathauwer, Lieven, Fu, Xiao, Huang, Kejun, Papalexakis, Evangelos E., Faloutsos, Christos·2017·IEEE Transactions on Signal Processing

Abstract

Tensors or multiway arrays are functions of three or more indices (i, j, k, . . . )-similar to matrices (two-way arrays), which are functions of two indices (r, c) for (row, column). Tensors have a rich history, stretching over almost a century, and touching upon numerous disciplines; but they have only recently become ubiquitous in signal and data analytics at the confluence of signal processing, statistics, data mining, and machine learning. This overview article aims to provide a good starting point for researchers and practitioners interested in learning about and working with tensors. As such, it focuses on fundamentals and motivation (using various application examples), aiming to strike an appropriate balance of breadth and depth that will enable someone having taken first graduate courses in matrix algebra and probability to get started doing research and/or developing tensor algorithms and software. Some background in applied optimization is useful but not strictly required. The material covered includes tensor rank and rank decomposition; basic tensor factorization models and their relationships and properties (including fairly good coverage of identifiability); broad coverage of algorithms ranging from alternating optimization to stochastic gradient; statistical performance analysis; and applications ranging from source separation to collaborative filtering, mixture and topic modeling, classification, and multilinear subspace learning.

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Metadata

Authors
Sidiropoulos, N. D., De Lathauwer, L., Fu, X., Huang, K., Papalexakis, E. E., & Faloutsos, C.
Venue
IEEE Transactions on Signal Processing
Published
2017-07-01
Volume
65
Issue
13
Pages
3551-3582
ISSN
  • 1053-587X (ISSN-L)
  • 1941-0476
OpenAlex
W2469230926
Cited by
1,617
References
106
FWCI
53.94
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Tensor Decomposition for Signal Processing and Machine Learning. https://app.cochat.ai/papers/10.1109/tsp.2017.2690524
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Sidiropoulos, N. D., De Lathauwer, L., Fu, X., Huang, K., Papalexakis, E. E., & Faloutsos, C. (2017). Tensor Decomposition for Signal Processing and Machine Learning. IEEE Transactions on Signal Processing. https://doi.org/10.1109/tsp.2017.2690524

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