@book{AbadirMagnus2005,
    author    = {Abadir, Karim M. and Magnus, Jan R.},
    year      = {2005},
    title     = {Matrix algebra},
    volume    = {1},
    pages     = {xxx+434},
    publisher = {Cambridge University Press, Cambridge},
    doi       = {10.1017/CBO9780511810800},
    url       = {https://doi.org/10.1017/CBO9780511810800},
    isbn      = {978-0-521-53746-9},
    mrclass   = {15-01 (91B02)},
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}

@book{AbsilEtAl2007,
    author    = {Absil, P.-A. and Mahony, R. and Sepulchre, R.},
    year      = {2008},
    title     = {{Optimization Algorithms on Matrix Manifolds}},
    pages     = {xvi+224},
    publisher = {Princeton University Press, Princeton, NJ},
    doi       = {10.1515/9781400830244},
    isbn      = {978-0-691-13298-3},
    mrclass   = {90-02 (58E17 90C30 90C52)},
    mrnumber  = {2364186},
    note      = {Full Online Text \url{https://press.princeton.edu/absil}}
}

@book{Arnold1981,
    author     = {Arnold, Steven F.},
    year       = {1981},
    title      = {The theory of linear models and multivariate analysis},
    pages      = {xvi+475},
    publisher  = {John Wiley \& Sons, Inc., New York},
    isbn       = {0-471-05065-2},
    mrclass    = {62-01 (62J05)},
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    mrreviewer = {Pi-Erh\ Lin},
    series     = {Wiley Series in Probability and Mathematical Statistics}
}

@article{BasserPajevic2007,
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    year    = {2007},
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    journal = {Signal Processing},
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    number  = {2},
    pages   = {220-236},
    issn    = {0165-1684},
    doi     = {10.1016/j.sigpro.2006.02.050},
    note    = {Tensor Signal Processing}
}

@article{Besag1974,
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}

@article{BuraDuarteForzani2016,
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    pages     = {1313--1329},
    publisher = {Taylor \& Francis},
    doi       = {10.1080/01621459.2015.1093944},
    fjournal  = {Journal of the American Statistical Association}
}

@article{BuraEtAl2018,
    author    = {Bura, Efstathia and Duarte, Sabrina and Forzani, Liliana and E. Smucler and M. Sued},
    year      = {2018},
    title     = {Asymptotic theory for maximum likelihood estimates in reduced-rank multivariate generalized linear models},
    journal   = {Statistics},
    volume    = {52},
    number    = {5},
    pages     = {1005--1024},
    publisher = {Taylor \& Francis},
    doi       = {10.1080/02331888.2018.1467420},
    fjournal  = {Statistics. A Journal of Theoretical and Applied Statistics}
}

@article{BuraEtAl2022,
    author   = {Bura, Efstathia and Forzani, Liliana and Garc\'{i}a Arancibia, Rodrigo and Llop, Pamela and Tomassi, Diego},
    year     = {2022},
    title    = {Sufficient reductions in regression with mixed predictors},
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    number   = {102},
    pages    = {1--47},
    issn     = {1532-4435,1533-7928},
    url      = {http://jmlr.org/papers/v23/21-0175.html},
    fjournal = {Journal of Machine Learning Research (JMLR)},
    mrclass  = {62H12 (62H22 62H25 62J02 65C20)},
    mrnumber = {4576687}
}

@article{Burdick1995,
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    year    = {1995},
    title   = {An introduction to tensor products with applications to multiway data analysis},
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    volume  = {28},
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    pages   = {229-237},
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    doi     = {10.1016/0169-7439(95)80060-M}
}

@article{Bury2013,
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    year    = {2013},
    title   = {Market structure explained by pairwise interactions},
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    number  = {6},
    pages   = {1375-1385},
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    doi     = {10.1016/j.physa.2012.10.046}
}

@article{Chaddadetal2023,
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  journal={Sensors (Basel, Switzerland)},
  year={2023},
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}

@article{ChakrabortyEtAl2022,
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    year    = {2022},
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    volume  = {52},
    pages   = {100708},
    issn    = {2211--6753},
    doi     = {10.1016/j.spasta.2022.100708}
}

@article{ChenEtAl2021,
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    year    = {2021},
    title   = {Tensor Canonical Correlation Analysis With Convergence and Statistical Guarantees},
    journal = {Journal of Computational and Graphical Statistics},
    volume  = {30},
    number  = {3},
    pages   = {728--744},
    doi     = {10.1080/10618600.2020.1856118}
}

@article{ChengEtAl2014,
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    year    = {2014},
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    journal = {Biometrics},
    volume  = {70},
    number  = {4},
    pages   = {943-953},
    doi     = {10.1111/biom.12202}
}

@inproceedings{Comon2009,
    author    = {Comon, Pierre},
    year      = {2009},
    title     = {Tensors versus matrices usefulness and unexpected properties},
    volume    = {},
    number    = {},
    pages     = {781-788},
    doi       = {10.1109/SSP.2009.5278471},
    booktitle = {2009 IEEE/SP 15th Workshop on Statistical Signal Processing}
}

@book{Cook1998,
    author     = {Cook, R. Dennis},
    year       = {1998},
    title      = {Regression graphics},
    pages      = {xviii+349},
    publisher  = {John Wiley \& Sons, Inc., New York},
    doi        = {10.1002/9780470316931},
    url        = {https://doi.org/10.1002/9780470316931},
    isbn       = {0-471-19365-8},
    mrclass    = {62-01 (62J05)},
    mrnumber   = {1645673},
    mrreviewer = {Jon\ Stene},
    note       = {Ideas for studying regressions through graphics, A Wiley-Interscience Publication},
    series     = {Wiley Series in Probability and Statistics: Probability and Statistics}
}

@article{Cook2007,
    author    = {Cook, R. Dennis},
    year      = {2007},
    title     = {{Fisher Lecture: Dimension Reduction in Regression}},
    journal   = {Statistical Science},
    volume    = {22},
    number    = {1},
    pages     = {1--26},
    publisher = {The Institute of Mathematical Statistics},
    doi       = {10.1214/088342306000000682},
    month     = {02}
}

@article{CookLiChiaromonte2010,
    author    = {R. Dennis Cook and Bing Li and Francesca Chiaromonte},
    year      = {2010},
    title     = {Envelope Models for Parsimonious and Efficient Multivariate Linear Regression},
    journal   = {Statistica Sinica},
    volume    = {20},
    number    = {3},
    pages     = {927--960},
    publisher = {Institute of Statistical Science, Academia Sinica},
    issn      = {10170405, 19968507},
    url       = {http://www.jstor.org/stable/24309466},
    urldate   = {2024-03-29}
}

@article{Coppi1994,
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    volume   = {18},
    number   = {1},
    pages    = {3-13},
    year     = {1994},
    issn     = {0167-9473},
    doi      = {10.1016/0167-9473(94)90130-9},
    url      = {https://www.sciencedirect.com/science/article/pii/0167947394901309},
    author   = {Renato Coppi},
    keywords = {Multiway analysis, Multilinear models, Three-way arrays},
    abstract = {This paper provides a presentation of the main types of multiway data and the most known methods proposed in the literature. General guidelines are provided concerning the various aspects of statistical information conveyed by different data arrays or sets and the methods of data analysis enabling the researcher to extract this information. The description of the techniques focuses on the different methodological approaches in order to enable the reader to find out links among the methods. Hopefully, this introduction may act as a reference system when utilising a multiway approach to the analysis of statistical data.}
}

@article{CoxWermuth1994,
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    year     = {1994},
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    issn     = {0006-3444,1464-3510},
    doi      = {10.1093/biomet/81.2.403},
    url      = {https://doi.org/10.1093/biomet/81.2.403},
    fjournal = {Biometrika},
    mrclass  = {62E15},
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}

@article{DaiDingWahba2013,
    author   = {Dai, Bin and Ding, Shilin and Wahba, Grace},
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    volume   = {19},
    number   = {4},
    pages    = {1465--1483},
    issn     = {1350-7265,1573-9759},
    doi      = {10.3150/12-BEJSP10},
    fjournal = {Bernoulli. Official Journal of the Bernoulli Society for Mathematical Statistics and Probability},
    mrclass  = {62E15 (60E05 62G05 62H10 62H12 62J12)},
    mrnumber = {3102559}
}

@article{Dawid1981,
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    journal   = {Biometrika},
    volume    = {68},
    number    = {1},
    pages     = {265--274},
    publisher = {[Oxford University Press, Biometrika Trust]},
    issn      = {00063444},
    url       = {http://www.jstor.org/stable/2335827},
    urldate   = {2024-01-12}
}

@article{DeAlmeidaEtAl2007,
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    year    = {2007},
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    journal = {Signal Processing},
    volume  = {87},
    number  = {2},
    pages   = {337--351},
    issn    = {0165-1684},
    doi     = {https://doi.org/10.1016/j.sigpro.2005.12.014},
    note    = {Tensor Signal Processing}
}

@article{DeLathauwerCastaing2007,
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    year    = {2007},
    title   = {Tensor-based techniques for the blind separation of DS-CDMA signals},
    journal = {Signal Processing},
    volume  = {87},
    number  = {2},
    pages   = {322--336},
    issn    = {0165-1684},
    doi     = {10.1016/j.sigpro.2005.12.015},
    note    = {Tensor Signal Processing}
}

@article{DingCook2014,
	author  = {Ding, Shanshan and Cook, R. Dennis},
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	year    = {2014},
	journal = {Statistica Sinica},
	volume  = {24},
	number  = {1},
	pages   = {463--492},
	doi     = {10.5705/ss.2012.138},
	source  = {Scopus}
}

@article{DingCook2015,
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    pages   = {216-231},
    issn    = {0047-259X},
    doi     = {10.1016/j.jmva.2014.08.015}
}

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    fjournal   = {The Annals of Statistics},
    mrclass    = {62H12 (62R01)},
    mrnumber   = {4338381},
    mrreviewer = {Burcu\ H.\ Ucer}
}

@article{DrydenEtAl2009,
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    title     = {{Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging}},
    journal   = {The Annals of Applied Statistics},
    volume    = {3},
    number    = {3},
    pages     = {1102--1123},
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@article{Dutilleul1999,
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    publisher = {Taylor & Francis},
    doi       = {10.1080/00949659908811970}
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    editor    = {Alvarez, Luis and Mejail, Marta and Gomez, Luis and Jacobo, Julio},
    isbn      = {978-3-642-33275-3}
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@article{GirkaEtAl2024,
    author  = {Fabien Girka and Arnaud Gloaguen and Laurent {Le Brusquet} and Violetta Zujovic and Arthur Tenenhaus},
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    volume  = {102},
    issn    = {1566-2535},
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@book{GoodfellowEtAl2016,
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@article{GreenewaldHero2014,
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    url     = {https://api.semanticscholar.org/CorpusID:15582097}
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@article{HaoEtAl2021,
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@book{Harville1997,
    author    = {David A. Harville},
    year      = {1997},
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    chapter   = {15},
    edition   = {1}
}

@article{HillarLim2013,
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    title      = {Most Tensor Problems Are NP-Hard},
    journal    = {J. ACM},
    volume     = {60},
    number     = {6},
    publisher  = {Association for Computing Machinery},
    issn       = {0004-5411},
    doi        = {10.1145/2512329},
    address    = {New York, NY, USA},
    articleno  = {45},
    issue_date = {November 2013},
    numpages   = {39}
}

@article{Hinton2002,
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    number  = {8},
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    issn    = {0899-7667},
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    month   = {08}
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@misc{Hinton2012,
    author = {Hinton, Geoffrey E.},
    year   = {2012},
    title  = {{Neural Networks for Machine Learning}},
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    note   = {Coursera Lecture 6 - Online; accessed Jan 18, 2024}
}

@article{Hoff2011,
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    year      = {2011},
    title     = {{Separable covariance arrays via the Tucker product, with applications to multivariate relational data}},
    journal   = {Bayesian Analysis},
    volume    = {6},
    number    = {2},
    pages     = {179 -- 196},
    publisher = {International Society for Bayesian Analysis},
    doi       = {10.1214/11-BA606},
    keywords  = {Gaussian, matrix normal, multiway data, network, tensor, Tucker decomposition}
}

@article{Hoff2015,
    author    = {Peter D. Hoff},
    year      = {2015},
    title     = {{Multilinear tensor regression for longitudinal relational data}},
    journal   = {The Annals of Applied Statistics},
    volume    = {9},
    number    = {3},
    pages     = {1169 -- 1193},
    publisher = {Institute of Mathematical Statistics},
    doi       = {10.1214/15-AOAS839},
    keywords  = {Array normal, Bayesian inference, event data, international relations, network, Tucker product, vector autoregression}
}

@article{Ising1925,
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    number  = {1},
    pages   = {253-258},
    issn    = {0044-3328},
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@book{JohnsonEtAl1997,
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    pages     = {xxii+299},
    publisher = {John Wiley \& Sons, Inc., New York},
    isbn      = {0-471-12844-9},
    mrclass   = {62E15 (60C05 60E05 62H05)},
    mrnumber  = {1429617},
    note      = {A Wiley-Interscience Publication},
    series    = {Wiley Series in Probability and Statistics: Applied Probability and Statistics}
}

@article{JungEtAl2019,
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    year      = {2019},
    title     = {Penalized Orthogonal Iteration for Sparse Estimation of Generalized Eigenvalue Problem},
    journal   = {Journal of Computational and Graphical Statistics},
    volume    = {28},
    number    = {3},
    pages     = {710-721},
    publisher = {Taylor & Francis},
    doi       = {10.1080/10618600.2019.1568014}
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@book{Kaltenbaeck2021,
    author    = {Kaltenb\"ack, Michael},
    year      = {2021},
    title     = {Aufbau Analysis},
    publisher = {Heldermann Verlag},
    edition   = {27},
    isbn      = {978-3-88538-127-3},
    series    = {Berliner Studienreihe zur Mathematik}
}

@misc{KaplaBura2025sup,
    author = {Daniel Kapla and Efstathia Bura},
    title  = {Supplement to ``Generalized Multilinear Models for Sufficient Dimension Reduction on Tensor-valued Predictors''},
    year   = {2025},
    doi    = {10.1214/[provided by typesetter]}
}

@incollection {KofidisRegalia2001,
    author     = {Kofidis, Eleftherios and Regalia, Phillip A.},
    title      = {Tensor approximation and signal processing applications},
    booktitle  = {Structured matrices in mathematics, computer science, and engineering, {I} ({B}oulder, {CO}, 1999)},
    series     = {Contemp. Math.},
    volume     = {280},
    pages      = {103--133},
    publisher  = {Amer. Math. Soc., Providence, RI},
    year       = {2001},
    isbn       = {0-8218-1921-6},
    mrclass    = {93B30 (15A69 65F15 94A12)},
    mrnumber   = {1850404},
    mrreviewer = {A.\ Bultheel},
    doi        = {10.1090/conm/280/04625}
}

@article{Kolda2006,
    author = {Kolda, Tamara Gibson},
    year   = {2006},
    title  = {Multilinear operators for higher-order decompositions},
    doi    = {10.2172/923081},
    month  = {4},
    place  = {United States},
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@article{KoldaBader2009,
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    year    = {2009},
    title   = {Tensor Decompositions and Applications},
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    number  = {3},
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@book{KolloVonRosen2005,
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    year      = {2005},
    title     = {Advanced Multivariate Statistics with Matrices},
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    editor    = {Hazewinkel, M.},
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@book{Kroonenberg2008,
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  author    = {Kroonenberg, Pieter M},
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@article{LandgrafLee2020,
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@book{Lauritzen1996,
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@article{LauritzenRichardson2002,
    author    = {Steffen L. Lauritzen and Thomas S. Richardson},
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    urldate   = {2024-01-20}
}

@book{Lee2012,
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}

@book{Lee2018,
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