tensor_predictors/LaTeX/main.bib

@misc{MukherjeeEtAl2020,
      title={Estimation in Tensor Ising Models}, 
      author={Somabha Mukherjee and Jaesung Son and Bhaswar B. Bhattacharya},
      year={2020},
      eprint={2008.12882},
      archivePrefix={arXiv},
      primaryClass={math.ST}
}

@misc{LiuEtAl2023,
      title={Tensor Recovery in High-Dimensional Ising Models}, 
      author={Tianyu Liu and Somabha Mukherjee and Rahul Biswas},
      year={2023},
      eprint={2304.00530},
      archivePrefix={arXiv},
      primaryClass={math.ST}
}

@book{AbadirMagnus2005,
    author     = {Abadir, Karim M. and Magnus, Jan R.},
    collection = {Econometric Exercises},
    doi        = {10.1017/CBO9780511810800},
    place      = {Cambridge},
    publisher  = {Cambridge University Press},
    series     = {Econometric Exercises},
    title      = {Matrix Algebra},
    year       = {2005}
}

@book{AbsilEtAl2007,
    author    = {Absil, P.-A. and Mahony, R. and Sepulchre, R.},
    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}},
    pages     = {xvi+224},
    publisher = {Princeton University Press, Princeton, NJ},
    title     = {{Optimization Algorithms on Matrix Manifolds}},
    url       = {https://doi.org/10.1515/9781400830244},
    year      = {2008}
}

@article{AdragniCook2009,
    author   = {Adragni, Kofi P. and Cook, R. Dennis},
    doi      = {10.1098/rsta.2009.0110},
    fjournal = {Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences},
    issn     = {1364-503X,1471-2962},
    journal  = {Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.},
    mrclass  = {62J02 (62H25)},
    mrnumber = {2546393},
    number   = {1906},
    pages    = {4385--4405},
    title    = {Sufficient dimension reduction and prediction in regression},
    url      = {https://doi.org/10.1098/rsta.2009.0110},
    volume   = {367},
    year     = {2009}
}

@book{Anderson2003,
    address   = {New York, NY},
    author    = {T. W. Anderson},
    edition   = {third},
    publisher = {Wiley},
    title     = {An Introduction to Multivariate Statistical Analysis},
    year      = {2003}
}

@book{Arnold1981,
    address   = {New York, NY [u.a.]},
    author    = {Arnold, Steven F},
    isbn      = {0471050652},
    keywords  = {Multivariate Analyse},
    language  = {eng},
    publisher = {Wiley},
    series    = {Wiley series in probability and mathematical statistics : Probability and mathematical statistics},
    title     = {The theory of linear models and multivariate analysis},
    year      = {1981}
}

@article{BanerjeeEtAl2008,
    author  = {Onureena Banerjee and Laurent El Ghaoui and Alexandre d'Aspremont},
    journal = {Journal of Machine Learning Research},
    number  = {15},
    pages   = {485-516},
    title   = {Model Selection Through Sparse Maximum Likelihood Estimation for Multivariate Gaussian or Binary Data},
    url     = {http://jmlr.org/papers/v9/banerjee08a.html},
    volume  = {9},
    year    = {2008}
}

@article{BasserPajevic2000,
    author  = {Basser, Peter J. and Pajevic, Sinisa},
    doi     = {10.1002/1522-2594(200007)44:1<41::AID-MRM8>3.0.CO;2-O},
    journal = {Magnetic Resonance in Medicine},
    number  = {1},
    pages   = {41-50},
    title   = {Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise},
    url     = {https://onlinelibrary.wiley.com/doi/abs/10.1002/1522-2594%28200007%2944%3A1%3C41%3A%3AAID-MRM8%3E3.0.CO%3B2-O},
    volume  = {44},
    year    = {2000}
}

@article{BasserPajevic2003,
    author    = {Basser, Peter J and Pajevic, Sinisa},
    journal   = {IEEE transactions on medical imaging},
    number    = {7},
    pages     = {785--794},
    publisher = {IEEE},
    title     = {A normal distribution for tensor-valued random variables: applications to diffusion tensor MRI},
    volume    = {22},
    year      = {2003}
}

@article{BasserPajevic2007,
    author  = {Peter J. Basser and Sinisa Pajevic},
    doi     = {10.1016/j.sigpro.2006.02.050},
    issn    = {0165-1684},
    journal = {Signal Processing},
    note    = {Tensor Signal Processing},
    number  = {2},
    pages   = {220-236},
    title   = {Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI},
    url     = {https://www.sciencedirect.com/science/article/pii/S0165168406001678},
    volume  = {87},
    year    = {2007}
}

@article{Besag1974,
    author  = {Besag, Julian},
    doi     = {10.1111/j.2517-6161.1974.tb00999.x},
    journal = {Journal of the Royal Statistical Society: Series B (Methodological)},
    number  = {2},
    pages   = {192-225},
    title   = {Spatial Interaction and the Statistical Analysis of Lattice Systems},
    url     = {https://rss.onlinelibrary.wiley.com/doi/abs/10.1111/j.2517-6161.1974.tb00999.x},
    volume  = {36},
    year    = {1974}
}

@incollection{Bottou1998,
    address   = {Cambridge, UK},
    author    = {Bottou, L\'{e}on},
    booktitle = {Online Learning and Neural Networks},
    editor    = {Saad, David},
    note      = {\url{http://leon.bottou.org/papers/bottou-98x} revised, Oct 2012},
    publisher = {Cambridge University Press},
    title     = {Online Algorithms and Stochastic Approximations},
    year      = {1998}
}

@article{Brenner2018,
    author        = {Brenner, A.V. and Inskip, P.D. and Rusiecki, J. and Rabkin, C.S. and Engels, J. and Pfeiffer, R.M.},
    document_type = {Article},
    doi           = {10.1038/s41416-018-0272-x},
    journal       = {British Journal of Cancer},
    number        = {7},
    pages         = {893-900},
    title         = {Serially measured pre-diagnostic levels of serum cytokines and risk of brain cancer in active component military personnel},
    volume        = {119},
    year          = {2018}
}

@article{BrownEtAl2001,
    author  = {Brown, P. J. and Kenward, M. G. and Bassett, E. E.},
    doi     = {10.1093/biostatistics/2.4.417},
    issn    = {1465-4644},
    journal = {Biostatistics},
    month   = {12},
    number  = {4},
    pages   = {417-432},
    title   = {Bayesian discrimination with longitudinal data},
    volume  = {2},
    year    = {2001}
}

@article{BuraCook2001a,
    author    = {Efstathia Bura and R. Dennis Cook},
    doi       = {10.1198/016214501753208979},
    journal   = {Journal of the American Statistical Association},
    number    = {455},
    pages     = {996-1003},
    publisher = {Taylor & Francis},
    title     = {Extending Sliced Inverse Regression},
    volume    = {96},
    year      = {2001}
}

@article{BuraCook2001b,
    author    = {Bura, Efstathia and Cook, R. Dennis},
    fjournal  = {Journal of the Royal Statistical Society. Series B: Statistical Methodology},
    issn      = {1369-7412},
    journal   = {J. R. Stat. Soc. Ser. B Stat. Methodol.},
    number    = {2},
    pages     = {393--410},
    publisher = {Wiley-Blackwell},
    title     = {Estimating the structural dimension of regressions via parametric inverse regression},
    volume    = {63},
    year      = {2001}
}

@article{BuraDuarteForzani2016,
    author    = {Efstathia Bura and Sabrina Duarte and Liliana Forzani},
    doi       = {10.1080/01621459.2015.1093944},
    fjournal  = {Journal of the American Statistical Association},
    journal   = {J. Amer. Statist. Assoc.},
    number    = {515},
    pages     = {1313--1329},
    publisher = {Taylor \& Francis},
    title     = {Sufficient Reductions in Regressions With Exponential Family Inverse Predictors},
    volume    = {111},
    year      = {2016}
}

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

@article{BuraEtAl2022,
    author   = {Bura, Efstathia and Forzani, Liliana and Garc\'{i}a Arancibia, Rodrigo and Llop, Pamela and Tomassi, Diego},
    fjournal = {Journal of Machine Learning Research (JMLR)},
    issn     = {1532-4435,1533-7928},
    journal  = {J. Mach. Learn. Res.},
    mrclass  = {62H12 (62H22 62H25 62J02 65C20)},
    mrnumber = {4576687},
    number   = {102},
    pages    = {1--47},
    title    = {Sufficient reductions in regression with mixed predictors},
    url      = {http://jmlr.org/papers/v23/21-0175.html},
    volume   = {23},
    year     = {2022}
}

@article{BuraForzani2015,
    author    = {Bura, Efstathia and Forzani, Liliana},
    doi       = {10.1080/01621459.2014.914440},
    fjournal  = {Journal of the American Statistical Association},
    issn      = {0162-1459,1537-274X},
    journal   = {J. Amer. Statist. Assoc.},
    mrclass   = {62J02 (62J05 62P10)},
    number    = {509},
    pages     = {420--434},
    publisher = {Taylor \& Francis},
    title     = {{Sufficient Reductions in Regressions With Elliptically Contoured Inverse Predictors}},
    volume    = {110},
    year      = {2015}
}

@article{Burdick1995,
    author  = {Donald S. Burdick},
    doi     = {10.1016/0169-7439(95)80060-M},
    issn    = {0169-7439},
    journal = {Chemometrics and Intelligent Laboratory Systems},
    number  = {2},
    pages   = {229-237},
    title   = {An introduction to tensor products with applications to multiway data analysis},
    url     = {https://www.sciencedirect.com/science/article/pii/016974399580060M},
    volume  = {28},
    year    = {1995}
}

@article{Burges2010,
    author  = {Christopher J. C. Burges},
    doi     = {10.1561/2200000002},
    issn    = {1935-8237},
    journal = {Foundations and Trends® in Machine Learning},
    number  = {4},
    pages   = {275-365},
    title   = {Dimension Reduction: A Guided Tour},
    volume  = {2},
    year    = {2010}
}

@article{CandesEtAl2008,
    author   = {Cand\`es, Emmanuel J. and Wakin, Michael B. and Boyd, Stephen P.},
    doi      = {10.1007/s00041-008-9045-x},
    fjournal = {The Journal of Fourier Analysis and Applications},
    issn     = {1069-5869,1531-5851},
    journal  = {J. Fourier Anal. Appl.},
    mrclass  = {90C25 (90C27 94A12)},
    mrnumber = {2461611},
    number   = {5-6},
    pages    = {877--905},
    title    = {Enhancing sparsity by reweighted {$l_1$} minimization},
    url      = {https://doi.org/10.1007/s00041-008-9045-x},
    volume   = {14},
    year     = {2008}
}

@article{CarrollLi1995,
    author   = {Carroll, Raymond James and Li, Ker-Chau},
    fjournal = {Statistica Sinica},
    issn     = {1017-0405,1996-8507},
    journal  = {Statist. Sinica},
    mrclass  = {62J02 (62G05)},
    mrnumber = {1347614},
    number   = {2},
    pages    = {667--688},
    title    = {Binary regressors in dimension reduction models: a new look at treatment comparisons},
    url      = {https://api.semanticscholar.org/CorpusID:1648354},
    volume   = {5},
    year     = {1995}
}

@book{CasellaBerger2002,
    author    = {Casella, George and Berger, Roger L.},
    edition   = {2},
    isbn      = {0-534-24312-6},
    publisher = {Thomson Learning},
    series    = {Duxbury Advanced Series},
    title     = {{Statistical Inference}},
    year      = {2002}
}

@article{ChakrabortyEtAl2022,
    author  = {Anirban Chakraborty and Matthias Katzfuss and Joseph Guinness},
    doi     = {10.1016/j.spasta.2022.100708},
    issn    = {2211--6753},
    journal = {Spatial Statistics},
    pages   = {100708},
    title   = {Ordered conditional approximation of Potts models},
    url     = {https://www.sciencedirect.com/science/article/pii/S2211675322000690},
    volume  = {52},
    year    = {2022}
}

@article{ChenEtAl2021,
    author  = {Chen, You-Lin and Kolar, Mladen and Tsay, Ruey S.},
    doi     = {10.1080/10618600.2020.1856118},
    journal = {Journal of Computational and Graphical Statistics},
    number  = {3},
    pages   = {728--744},
    title   = {Tensor Canonical Correlation Analysis With Convergence and Statistical Guarantees},
    volume  = {30},
    year    = {2021}
}

@article{ChengEtAl2014,
    author  = {Cheng, Jie and Levina, Elizaveta and Wang, Pei and Zhu, Ji},
    doi     = {10.1111/biom.12202},
    journal = {Biometrics},
    number  = {4},
    pages   = {943-953},
    title   = {A sparse Ising model with covariates},
    volume  = {70},
    year    = {2014}
}

@article{ChenZouCook2010,
    author    = {Chen, Xin and Zou, Changliang and Cook, R. Dennis},
    doi       = {10.1214/10-AOS826},
    fjournal  = {The Annals of Statistics},
    journal   = {Ann. Statist.},
    month     = {12},
    number    = {6},
    pages     = {3696--3723},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Coordinate-independent sparse sufficient dimension reduction and variable selection},
    url       = {https://doi.org/10.1214/10-AOS826},
    volume    = {38},
    year      = {2010}
}

@article{ChiaroCookLi2002,
    author    = {Chiaromonte, F. and Cook, R. Dennis and Li, B.},
    fjournal  = {The Annals of Statistics},
    issue     = {2},
    journal   = {Ann. Statist.},
    pages     = {475-497},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Sufficient dimension reduction in regressions with categorical predictors},
    volume    = {30},
    year      = {2002}
}

@article{ChiaromonteCook2002,
    author   = {Chiaromonte, Francesca and Cook, R. Dennis},
    doi      = {10.1023/A:1022411301790},
    fjournal = {Annals of the Institute of Statistical Mathematics},
    issn     = {0020-3157,1572-9052},
    journal  = {Ann. Inst. Statist. Math.},
    mrclass  = {62J05 (62H99)},
    mrnumber = {1954046},
    number   = {4},
    pages    = {768--795},
    title    = {Sufficient dimension reduction and graphics in regression},
    url      = {https://doi.org/10.1023/A:1022411301790},
    volume   = {54},
    year     = {2002}
}

@article{ClevelandDevlin1988,
    author    = {William S. Cleveland and Susan J. Devlin},
    doi       = {10.1080/01621459.1988.10478639},
    fjournal  = {Journal of the American Statistical Association},
    journal   = {J. Amer. Statist. Assoc.},
    number    = {403},
    pages     = {596--610},
    publisher = {Taylor \& Francis},
    title     = {{Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting}},
    volume    = {83},
    year      = {1988}
}

@incollection{Comon2002,
    author    = {Comon, Pierre},
    booktitle = {{Mathematics in Signal Processing V}},
    doi       = {10.1093/oso/9780198507345.003.0001},
    eprint    = {https://academic.oup.com/book/0/chapter/422056726/chapter-pdf/52392862/isbn-9780198507345-book-part-1.pdf},
    isbn      = {9780198507345},
    month     = {06},
    publisher = {Oxford University Press},
    title     = {{Tensor Decompositions: State of the Art and Applications}},
    year      = {2002}
}

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

@book{Conway1997,
    address = {New York},
    author  = {Conway, John B.},
    edition = {2nd ed},
    isbn    = {978-0-387-97245-9},
    number  = {96},
    series  = {Graduate Texts in Mathematics},
    title   = {A Course in Functional Analysis},
    year    = {1997}
}

@articla{Cook1994,
    author  = {Cook, Dennis R.},
    journal = {Proc. Sect. Phys. Eng. Sci.},
    pages   = {18--25},
    title   = {Using dimension-reduction subspaces to identify important inputs in models of physical systems},
    year    = {1994}
}

@book{Cook1998,
    address   = {New York},
    author    = {Cook, Dennis R.},
    publisher = {Wiley},
    title     = {Regression Graphics: Ideas for studying regressions through graphics},
    year      = {1998}
}

@article{Cook2000,
    author    = {R. Dennis Cook},
    doi       = {10.1080/03610920008832598},
    journal   = {Communications in Statistics - Theory and Methods},
    number    = {9-10},
    pages     = {2109-2121},
    publisher = {Taylor \& Francis},
    title     = {Save: a method for dimension reduction and graphics in regression},
    url       = {https://doi.org/10.1080/03610920008832598},
    volume    = {29},
    year      = {2000}
}

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

@article{Cook2018,
    author  = {Cook, R. Dennis},
    doi     = {10.1146/annurev-statistics-031017-100257},
    journal = {Annual Review of Statistics and Its Application},
    number  = {1},
    pages   = {533-559},
    title   = {Principal Components, Sufficient Dimension Reduction, and Envelopes},
    volume  = {5},
    year    = {2018}
}

@article{CookForzani2008,
    author  = {Cook, R. D. and Forzani, L.},
    journal = {Statistical Science},
    number  = {4},
    pages   = {485-501},
    title   = {Principal fitted components for dimension reduction in regression},
    volume  = {23},
    year    = {2008}
}

@article{CookForzani2009,
    author    = {R. Dennis Cook and Liliana Forzani},
    doi       = {10.1198/jasa.2009.0106},
    issn      = {0162-1459},
    journal   = {Journal of the American Statistical Association},
    month     = {3},
    number    = {485},
    pages     = {197--208},
    publisher = {Taylor and Francis Ltd.},
    title     = {Likelihood-based sufficient dimension reduction},
    volume    = {104},
    year      = {2009}
}

@article{CookLi2002,
    author    = {Cook, R.D. and Li, B.},
    doi       = {10.1214/aos/1021379861},
    fjournal  = {The Annals of Statistics},
    journal   = {The Annals of Statistics},
    number    = {2},
    pages     = {455--474},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Dimension reduction for conditional mean in regression},
    volume    = {30},
    year      = {2002}
}

@article{CookLi2004,
    author   = {Cook, R. Dennis and Li, Bing},
    doi      = {10.1214/009053604000000661},
    fjournal = {The Annals of Statistics},
    issn     = {0090-5364,2168-8966},
    journal  = {Ann. Statist.},
    mrclass  = {62G08 (62G09 62H05)},
    mrnumber = {2153993},
    number   = {6},
    pages    = {2501--2531},
    title    = {Determining the dimension of iterative {H}essian transformation},
    url      = {https://doi.org/10.1214/009053604000000661},
    volume   = {32},
    year     = {2004}
}

@article{CookLi2009,
    author   = {Cook, R. Dennis and Li, Lexin},
    doi      = {10.1198/jcgs.2009.08005},
    fjournal = {Journal of Computational and Graphical Statistics},
    issn     = {1061-8600,1537-2715},
    journal  = {J. Comput. Graph. Statist.},
    mrclass  = {62J05},
    mrnumber = {2572637},
    number   = {3},
    pages    = {774--791},
    title    = {Dimension reduction in regressions with exponential family predictors},
    url      = {https://doi.org/10.1198/jcgs.2009.08005},
    volume   = {18},
    year     = {2009}
}

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

@article{CookNachtsheim1994,
    author    = {R. Dennis Cook and Christopher J. Nachtsheim},
    issn      = {01621459},
    journal   = {Journal of the American Statistical Association},
    number    = {426},
    pages     = {592--599},
    publisher = {[American Statistical Association, Taylor \& Francis, Ltd.]},
    title     = {Reweighting to Achieve Elliptically Contoured Covariates in Regression},
    url       = {http://www.jstor.org/stable/2290862},
    urldate   = {2024-01-18},
    volume    = {89},
    year      = {1994}
} 

@article{CookWeisberg1991,
    author    = {Cook, R. Dennis and Sanford Weisberg},
    issn      = {01621459},
    journal   = {Journal of the American Statistical Association},
    number    = {414},
    pages     = {328-332},
    publisher = {[American Statistical Association, Taylor & Francis, Ltd.]},
    title     = {Sliced Inverse Regression for Dimension Reduction: Comment},
    url       = {http://www.jstor.org/stable/2290564},
    volume    = {86},
    year      = {1991}
}

@book{Dai2012,
    author    = {Dai, Bin},
    isbn      = {978-1267-53750-8},
    mrclass   = {99-05},
    mrnumber  = {3078422},
    note      = {Thesis (Ph.D.)--The University of Wisconsin - Madison},
    pages     = {109},
    publisher = {ProQuest LLC, Ann Arbor, MI},
    title     = {Multivariate {B}ernoulli distribution models},
    url       = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3522035},
    year      = {2012}
}

@article{DaiDingWahba2013,
    author   = {Dai, Bin and Ding, Shilin and Wahba, Grace},
    doi      = {10.3150/12-BEJSP10},
    fjournal = {Bernoulli. Official Journal of the Bernoulli Society for Mathematical Statistics and Probability},
    issn     = {1350-7265,1573-9759},
    journal  = {Bernoulli},
    mrclass  = {62E15 (60E05 62G05 62H10 62H12 62J12)},
    mrnumber = {3102559},
    number   = {4},
    pages    = {1465--1483},
    title    = {Multivariate {B}ernoulli distribution},
    url      = {https://doi.org/10.3150/12-BEJSP10},
    volume   = {19},
    year     = {2013}
}

@article{Dawid1981,
    author    = {A. P. Dawid},
    issn      = {00063444},
    journal   = {Biometrika},
    number    = {1},
    pages     = {265--274},
    publisher = {[Oxford University Press, Biometrika Trust]},
    title     = {Some Matrix-Variate Distribution Theory: Notational Considerations and a Bayesian Application},
    url       = {http://www.jstor.org/stable/2335827},
    urldate   = {2024-01-12},
    volume    = {68},
    year      = {1981}
}

@article{DeAlmeidaEtAl2007,
    author  = {André L.F. {de Almeida} and Gérard Favier and João Cesar M. Mota},
    doi     = {https://doi.org/10.1016/j.sigpro.2005.12.014},
    issn    = {0165-1684},
    journal = {Signal Processing},
    note    = {Tensor Signal Processing},
    number  = {2},
    pages   = {337-351},
    title   = {PARAFAC-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization},
    url     = {https://www.sciencedirect.com/science/article/pii/S0165168406001757},
    volume  = {87},
    year    = {2007}
}

@article{DeesMandic2019,
    author  = {Bruno Scalzo Dees and Danilo P. Mandic},
    journal = {ArXiv},
    title   = {A Statistically Identifiable Model for Tensor-Valued Gaussian Random Variables},
    url     = {https://api.semanticscholar.org/CorpusID:207847615},
    volume  = {abs/1911.02915},
    year    = {2019}
}

@article{DeLathauwerCastaing2007,
    author  = {Lieven {De Lathauwer} and Joséphine Castaing},
    doi     = {10.1016/j.sigpro.2005.12.015},
    issn    = {0165-1684},
    journal = {Signal Processing},
    note    = {Tensor Signal Processing},
    number  = {2},
    pages   = {322-336},
    title   = {Tensor-based techniques for the blind separation of DS-CDMA signals},
    url     = {https://www.sciencedirect.com/science/article/pii/S0165168406001745},
    volume  = {87},
    year    = {2007}
}

@article{deLeeuwMichailidis2000,
    author  = {J. de Leeuw and G. Michailidis},
    journal = {Journal of Computational and  Graphical Statistics},
    pages   = {26-31},
    title   = {Discussion article on the paper by Lange, Hunter \& Yang (2000)},
    volume  = {9},
    year    = {2000}
}

@article{delPino1989,
    author  = {G. del Pino},
    journal = {Statistical Science},
    pages   = {394-408},
    title   = {The unifying role of iterative generalized least squares in statistical algorithms},
    volume  = {4},
    year    = {1989}
}

@article{DingCook2014,
    author    = {Shanshan Ding and Cook, R. Dennis},
    doi       = {10.5705/ss.2012.138},
    journal   = {Statistica Sinica},
    pages     = {463--492},
    publisher = {Institute of Statistical Science},
    title     = {Dimension folding PCA and PFC for matrix-valued predictors},
    volume    = {24},
    year      = {2014}
}

@article{DingCook2015,
    author  = {Shanshan Ding and R. Dennis Cook},
    doi     = {10.1016/j.jmva.2014.08.015},
    issn    = {0047-259X},
    journal = {Journal of Multivariate Analysis},
    pages   = {216-231},
    title   = {Tensor sliced inverse regression},
    volume  = {133},
    year    = {2015}
}

@article{DrtonEtAl2020,
    author  = {Mathias Drton and Satoshi Kuriki and Peter D. Hoff},
    journal = {The Annals of Statistics},
    title   = {Existence and uniqueness of the Kronecker covariance MLE},
    url     = {https://api.semanticscholar.org/CorpusID:212718000},
    year    = {2020}
}

@article{DrydenEtAl2009,
    author    = {Ian L. Dryden and Alexey Koloydenko and Diwei Zhou},
    doi       = {10.1214/09-AOAS249},
    journal   = {The Annals of Applied Statistics},
    number    = {3},
    pages     = {1102 -- 1123},
    publisher = {Institute of Mathematical Statistics},
    title     = {{Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging}},
    volume    = {3},
    year      = {2009}
}

@misc{Dutilleul1990,
    address = {Department of Mathematics. Universit\'e catholique de Louvian, Louvain-la-Neuve, Belgium},
    author  = {Pierre Dutilleul},
    note    = {Unpublished D.Sc. Dissertation},
    title   = {Apport en analyse spectrale d'un p\'eriodogramme modifi\'e et mod\'elisation des s\'eries chronologiques avec r\'ep\'etitions en vue de leur comparaison en fr\'equence},
    year    = {1990}
}

@article{Dutilleul1999,
    author    = {Pierre Dutilleul},
    doi       = {10.1080/00949659908811970},
    journal   = {Journal of Statistical Computation and Simulation},
    number    = {2},
    pages     = {105-123},
    publisher = {Taylor & Francis},
    title     = {The mle algorithm for the matrix normal distribution},
    volume    = {64},
    year      = {1999}
}

@book{Eaton2007,
    author    = {Morris L. Eaton},
    publisher = {Institute of Mathematical Statistics},
    series    = {Lecture Notes--Monograph Series, Volume 53},
    title     = {Multivariate Statistics: A Vector Space Approach},
    url       = {https://projecteuclid.org/euclid.lnms/1196285102},
    year      = {2007}
}

@article{EdelmanEtAl1998,
    author  = {Edelman, A. and Arias, T. and Smith, S.},
    doi     = {10.1137/S0895479895290954},
    eprint  = {https://doi.org/10.1137/S0895479895290954},
    journal = {SIAM Journal on Matrix Analysis and Applications},
    number  = {2},
    pages   = {303-353},
    title   = {The Geometry of Algorithms with Orthogonality Constraints},
    url     = {https://doi.org/10.1137/S0895479895290954},
    volume  = {20},
    year    = {1998}
}

@article{Einstein1916,
    author  = {Einstein, Albert},
    doi     = {10.1002/andp.19163540702},
    journal = {Annalen der Physik},
    number  = {7},
    pages   = {769-822},
    title   = {Die Grundlage der allgemeinen Relativitätstheorie},
    volume  = {354},
    year    = {1916}
}

@article{Fan1993,
    author  = {Jianqing Fan},
    journal = {Annals of Statistics},
    pages   = {196-216},
    title   = {Local Linear Regression Smoothers and Their Minimax Efficiencies},
    url     = {https://api.semanticscholar.org/CorpusID:9375835},
    volume  = {21},
    year    = {1993}
}

@article{FanGijbels1992,
    author    = {Jianqing Fan and Irene Gijbels},
    issn      = {00905364},
    journal   = {The Annals of Statistics},
    number    = {4},
    pages     = {2008--2036},
    publisher = {Institute of Mathematical Statistics},
    title     = {Variable Bandwidth and Local Linear Regression Smoothers},
    url       = {http://www.jstor.org/stable/2242378},
    urldate   = {2024-01-25},
    volume    = {20},
    year      = {1992}
}

@article{FanLi2001,
    author    = {Jianqing Fan and Runze Li},
    doi       = {10.1198/016214501753382273},
    eprint    = {https://doi.org/10.1198/016214501753382273},
    journal   = {Journal of the American Statistical Association},
    number    = {456},
    pages     = {1348-1360},
    publisher = {Taylor & Francis},
    title     = {Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties},
    url       = {https://doi.org/10.1198/016214501753382273},
    volume    = {96},
    year      = {2001}
}

@article{FertlBura2022a,
    author   = {Fertl, Lukas and Bura, Efstathia},
    doi      = {10.3150/21-bej1402},
    fjournal = {Bernoulli. Official Journal of the Bernoulli Society for Mathematical Statistics and Probability},
    issn     = {1350-7265,1573-9759},
    journal  = {Bernoulli},
    mrclass  = {62G08},
    mrnumber = {4411514},
    number   = {3},
    pages    = {1862--1891},
    title    = {Conditional variance estimator for sufficient dimension reduction},
    url      = {https://doi.org/10.3150/21-bej1402},
    volume   = {28},
    year     = {2022}
}

@article{FertlBura2022b,
    author   = {Fertl, Lukas and Bura, Efstathia},
    doi      = {10.1214/22-EJS1994},
    fjournal = {Electronic Journal of Statistics},
    issn     = {1935-7524},
    journal  = {Electron. J. Stat.},
    mrclass  = {62G07 (62G08)},
    mrnumber = {4390504},
    number   = {1},
    pages    = {1595--1634},
    title    = {The ensemble conditional variance estimator for sufficient dimension reduction},
    url      = {https://doi.org/10.1214/22-EJS1994},
    volume   = {16},
    year     = {2022}
}

@article{Fisher1922,
    author    = {R. A. Fisher},
    issn      = {02643952},
    journal   = {Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character},
    number    = {},
    pages     = {309--368},
    publisher = {The Royal Society},
    title     = {On the Mathematical Foundations of Theoretical Statistics},
    url       = {http://www.jstor.org/stable/91208},
    urldate   = {2024-01-22},
    volume    = {222},
    year      = {1922}
}

@misc{friedbergEtAl2020,
    author       = {Friedberg, Rina and Tibshirani, Julie and Athey, Susan and Wager, Stefan},
    howpublished = {arXiv:1807.11408 [cs, econ, math, stat]},
    note         = {\url{http://arxiv.org/abs/1807.11408}},
    title        = {Local {L}inear {F}orests},
    urldate      = {2021-03-08},
    year         = {2020}
}

@article{Friedman1991,
    author    = {Jerome H. Friedman},
    issn      = {00905364},
    journal   = {The Annals of Statistics},
    number    = {1},
    pages     = {1--67},
    publisher = {Institute of Mathematical Statistics},
    title     = {Multivariate Adaptive Regression Splines},
    url       = {http://www.jstor.org/stable/2241837},
    volume    = {19},
    year      = {1991}
}

@article{FukumizuEtAl2009,
    author    = {Fukumizu, Kenji and Bach, Francis R. and Jordan, Michael I.},
    doi       = {10.1214/08-AOS637},
    fjournal  = {The Annals of Statistics},
    journal   = {Ann. Statist.},
    month     = {08},
    number    = {4},
    pages     = {1871--1905},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Kernel dimension reduction in regression},
    volume    = {37},
    year      = {2009}
}

@misc{GhojoghEtAl2021,
    archiveprefix = {arXiv},
    author        = {Benyamin Ghojogh and Ali Ghodsi and Fakhri Karray and Mark Crowley},
    doi           = {10.48550/arXiv.2110.09620},
    eprint        = {2110.09620},
    primaryclass  = {stat.ME},
    title         = {Sufficient Dimension Reduction for High-Dimensional Regression and Low-Dimensional Embedding: Tutorial and Survey},
    year          = {2021}
}

@article{GirkaEtAl2024,
    author  = {Fabien Girka and Arnaud Gloaguen and Laurent {Le Brusquet} and Violetta Zujovic and Arthur Tenenhaus},
    doi     = {10.1016/j.inffus.2023.102045},
    issn    = {1566-2535},
    journal = {Information Fusion},
    title   = {Tensor generalized canonical correlation analysis},
    volume  = {102},
    year    = {2024}
}

@article{GlobersonTishby2003,
    author  = {Amir Globerson and Naftali Tishby},
    journal = {Journal of Machine Learning Research},
    title   = {Sufficient Dimensionality Reduction},
    url     = {https://api.semanticscholar.org/CorpusID:5095858},
    volume  = {3},
    year    = {2003}
}

@book{GolubVanLoanl996,
    author    = {Golub, Gene H. and Van Loan, Charles F.},
    edition   = {Third},
    publisher = {The Johns Hopkins University Press},
    title     = {Matrix Computations},
    year      = {1996}
}

@book{GoodfellowEtAl2016,
    author    = {Ian Goodfellow and Yoshua Bengio and Aaron Courville},
    publisher = {MIT Press},
    title     = {Deep Learning},
    url       = {\url{http://www.deeplearningbook.org}},
    year      = {2016}
}

@article{Green1984,
    author    = {P. J. Green},
    issn      = {00359246},
    journal   = {Journal of the Royal Statistical Society. Series B (Methodological)},
    number    = {2},
    pages     = {149--192},
    publisher = {[Royal Statistical Society, Wiley]},
    title     = {Iteratively Reweighted Least Squares for Maximum Likelihood Estimation, and some Robust and Resistant Alternatives},
    url       = {http://www.jstor.org/stable/2345503},
    volume    = {46},
    year      = {1984}
}

@article{GreenewaldHero2014,
    author  = {Kristjan H. Greenewald and Alfred O. Hero},
    journal = {IEEE Transactions on Signal Processing},
    pages   = {6368-6378},
    title   = {Robust Kronecker Product PCA for Spatio-Temporal Covariance Estimation},
    url     = {https://api.semanticscholar.org/CorpusID:15582097},
    volume  = {63},
    year    = {2014}
}

@book{Gurney1997,
    address   = {USA},
    author    = {Gurney, Kevin},
    isbn      = {1857286731},
    publisher = {Taylor \& Francis, Inc.},
    title     = {An Introduction to Neural Networks},
    year      = {1997}
}

@misc{HajriEtAl2017,
    author    = {Hajri, Hatem and Said, Salem and Berthoumieu, Yannick},
    doi       = {10.1007/978-3-319-68445-1_80},
    journal   = {Lecture Notes in Computer Science},
    pages     = {692-700},
    publisher = {Springer International Publishing},
    title     = {Maximum Likelihood Estimators on Manifolds},
    year      = {2017}
}

@article{HallLi1993,
    author   = {Hall, P. and Li, KC.},
    journal  = {Annals of Statistics},
    language = {English},
    number   = {2},
    pages    = { 867-889},
    title    = {On almost Linearity of Low Dimensional Projections from High Dimensional Data},
    volume   = {21},
    year     = {1993}
}

@article{HaoEtAl2021,
    author  = {Botao Hao and Boxiang Wang and Pengyuan Wang and Jingfei Zhang and Jian Yang and Will Wei Sun},
    journal = {Journal of Machine Learning Research},
    number  = {64},
    pages   = {1--43},
    title   = {Sparse Tensor Additive Regression},
    url     = {http://jmlr.org/papers/v22/19-769.html},
    volume  = {22},
    year    = {2021}
}

@book{Harville1997,
    address   = {New York},
    author    = {David A. Harville},
    chapter   = {15},
    edition   = {1},
    publisher = {Springer-Verlag},
    title     = {Matrix Algebra From a Statistician's Perspective},
    year      = {1997}
}

@book{HastieTibshirani1990,
    author    = {Hastie, Trevor John and Tibshirani, Robert J.},
    isbn      = {0-412-34390-8},
    mrclass   = {62J02 (62-07 62G05 62J20)},
    mrnumber  = {1082147},
    pages     = {xvi+335},
    publisher = {Chapman and Hall, Ltd., London},
    series    = {Monographs on Statistics and Applied Probability},
    title     = {Generalized additive models},
    volume    = {43},
    year      = {1990}
}

@article{HillarLim2013,
    address    = {New York, NY, USA},
    articleno  = {45},
    author     = {Hillar, Christopher J. and Lim, Lek\-Heng},
    doi        = {10.1145/2512329},
    issn       = {0004-5411},
    issue_date = {November 2013},
    journal    = {J. ACM},
    number     = {6},
    numpages   = {39},
    publisher  = {Association for Computing Machinery},
    title      = {Most Tensor Problems Are NP-Hard},
    url        = {https://doi.org/10.1145/2512329},
    volume     = {60},
    year       = {2013}
}

@misc{Hinton2012,
    author = {Hinton, Geoffrey E.},
    note   = {Coursera Lecture 6 - Online; accessed Jan 18, 2024},
    title  = {{Neural Networks for Machine Learning}},
    url    = {www.cs.toronto.edu/~hinton/coursera/lecture6/lec6.pdf},
    year   = {2012}
}

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

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

@article{Hornik1991,
    author  = {Hornik, Kurt},
    issn    = {0893-6080},
    journal = {Neural Networks},
    note    = {\url{https://doi.org/10.1016/0893-6080(91)90009-T}},
    number  = {2},
    pages   = {251-257},
    title   = {Approximation capabilities of multilayer feedforward networks},
    volume  = {4},
    year    = {1991}
}

@article{HuLeeWang2022,
    author    = {Hu, Jiaxin and Lee, Chanwoo and Wang, Miaoyan},
    doi       = {10.1080/10618600.2021.1978471},
    journal   = {Journal of Computational and Graphical Statistics},
    number    = {1},
    pages     = {204-218},
    publisher = {Taylor \& Francis},
    title     = {Generalized Tensor Decomposition With Features on Multiple Modes},
    volume    = {31},
    year      = {2022}
}

@article{Ising1925,
    author  = {Ising, Ernst},
    doi     = {10.1007/BF02980577},
    issn    = {0044-3328},
    journal = {Zeitschrift f\"ur Physik},
    month   = {2},
    number  = {1},
    pages   = {253-258},
    title   = {{Beitrag zur Theorie des Ferromagnetismus}},
    volume  = {31},
    year    = {1925}
}

@book{JamesEtAl2021,
    author    = {James, Gareth and Witten, Daniela and Hastie, Trevor and Tibshirani, Robert},
    doi       = {10.1007/978-1-0716-1418-1},
    edition   = {Second},
    isbn      = {978-1-0716-1418-1},
    mrclass   = {62-01 (62-04 62H30 62Jxx 62M45 62N01)},
    mrnumber  = {4309209},
    pages     = {xv+607},
    publisher = {Springer, New York},
    series    = {Springer Texts in Statistics},
    title     = {An introduction to statistical learning---with applications in {R}},
    url       = {https://doi.org/10.1007/978-1-0716-1418-1},
    year      = {2021}
}

@incollection{JennyHaselmayerKapla2021,
    address   = {London},
    author    = {Jenny, Marcelo and Haselmayer, Martin and Kapla, Daniel},
    booktitle = {Political Incivility in the Parliamentary, Electoral and Media Arena : Crossing Boundaries},
    editor    = {Walter, Annemarie S.},
    isbn      = {978-0-367-46273-4},
    pages     = {1--11},
    publisher = {Routledge},
    series    = {Routledge studies on political parties and party systems},
    title     = {Measuring incivility in parliamentary debates : validating a sentiment analysis procedure with calls to order in the Austrian Parliament},
    year      = {2021}
}

@book{JohnsonEtAl1997,
    author    = {Johnson, Norman L. and Kotz, Samuel and Balakrishnan, N.},
    isbn      = {0-471-12844-9},
    mrclass   = {62E15 (60C05 60E05 62H05)},
    mrnumber  = {1429617},
    note      = {A Wiley-Interscience Publication},
    pages     = {xxii+299},
    publisher = {John Wiley \& Sons, Inc., New York},
    series    = {Wiley Series in Probability and Statistics: Applied Probability and Statistics},
    title     = {{Discrete Multivariate Distributions}},
    year      = {1997}
}

@article{Jolliffe1982,
    author    = {Ian T. Jolliffe},
    issn      = {00359254, 14679876},
    journal   = {Journal of the Royal Statistical Society. Series C (Applied Statistics)},
    number    = {3},
    pages     = {300--303},
    publisher = {[Wiley, Royal Statistical Society]},
    title     = {A Note on the Use of Principal Components in Regression},
    url       = {http://www.jstor.org/stable/2348005},
    volume    = {31},
    year      = {1982}
}

@article{JungEtAl2019,
    author    = {Sungkyu Jung and Jeongyoun Ahn and Yongho Jeon},
    doi       = {10.1080/10618600.2019.1568014},
    journal   = {Journal of Computational and Graphical Statistics},
    number    = {3},
    pages     = {710-721},
    publisher = {Taylor & Francis},
    title     = {Penalized Orthogonal Iteration for Sparse Estimation of Generalized Eigenvalue Problem},
    volume    = {28},
    year      = {2019}
}

@book{Kaltenbaeck2021,
    author    = {Kaltenb\"ack, Michael},
    edition   = {27},
    isbn      = {978-3-88538-127-3},
    publisher = {Heldermann Verlag},
    series    = {Berliner Studienreihe zur Mathematik},
    title     = {Aufbau Analysis},
    year      = {2021}
}

@article{Kapla2019,
    author = {Kapla, Daniel},
    title  = {Comparison of Different Word Embeddings and Neural Network Types for Sentiment Analysis of German Political Speeches},
    year   = {2019}
}

@article{KaplaFertlBura2022,
    author   = {Kapla, Daniel and Fertl, Lukas and Bura, Efstathia},
    doi      = {10.1016/j.csda.2021.107390},
    fjournal = {Computational Statistics \& Data Analysis},
    issn     = {0167-9473,1872-7352},
    journal  = {Comput. Statist. Data Anal.},
    mrclass  = {99-01},
    mrnumber = {4343643},
    pages    = {Paper No. 107390, 20},
    title    = {Fusing sufficient dimension reduction with neural networks},
    url      = {https://doi.org/10.1016/j.csda.2021.107390},
    volume   = {168},
    year     = {2022}
}

@misc{KingmaWelling2019,
    author       = {Kingma, Diederik P. and Welling, Max},
    howpublished = {arXiv:1906.02691 [cs.LG]},
    note         = {\url{http://arxiv.org/abs/1906.02691}},
    title        = {An {I}ntroduction to {V}ariational {A}utoencoders},
    year         = 2019
}

@inproceedings{KofidisRegalia2005,
    author = {Eleftherios Kofidis and Phillip A. Regalia},
    title  = {Tensor Approximation and Signal Processing Applications},
    url    = {https://api.semanticscholar.org/CorpusID:13667742},
    year   = {2005}
}

@article{Kolda2006,
    author = {Kolda, Tamara Gibson},
    doi    = {10.2172/923081},
    month  = {4},
    place  = {United States},
    title  = {Multilinear operators for higher-order decompositions.},
    type   = {Technical Report},
    url    = {https://www.osti.gov/biblio/923081},
    year   = {2006}
}

@article{KoldaBader2009,
    author  = {Kolda, Tamara G. and Bader, Brett W.},
    doi     = {10.1137/07070111X},
    journal = {SIAM Review},
    number  = {3},
    pages   = {455-500},
    title   = {Tensor Decompositions and Applications},
    volume  = {51},
    year    = {2009}
}

@book{KolloVonRosen2005,
    author    = {Kollo, T\~onu and von Rosen, Dietrich},
    doi       = {10.1007/1-4020-3419-9},
    editor    = {Hazewinkel,  M.},
    isbn      = {978-1-4020-3419-0},
    publisher = {Springer Dordrecht},
    title     = {Advanced Multivariate Statistics with Matrices},
    year      = {2005}
}

@inproceedings{KongEtAl2005,
    author    = {Hui Kong and Xuchun Li and Lei Wang and Earn Khwang Teoh and Jian-Gang Wang and R. Venkateswarlu},
    booktitle = {Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.},
    doi       = {10.1109/IJCNN.2005.1555814},
    issn      = {2161-4393},
    number    = {},
    pages     = {108-113},
    title     = {Generalized 2D principal component analysis},
    volume    = {1},
    year      = {2005}
}

@article{Kramer1991,
    author  = {Kramer, Mark A.},
    journal = {AIChE Journal},
    note    = {\url{https://doi.org/10.1002/aic.690370209}},
    number  = {2},
    pages   = {233-243},
    title   = {Nonlinear principal component analysis using autoassociative neural networks},
    volume  = {37},
    year    = {1991}
}

@book{Kroonenberg2008,
    address   = {New York},
    author    = {Kroonenberg, Pieter M.},
    doi       = {10.1002/9780470238004},
    isbn      = {9780470238004},
    publisher = {John Wiley \& Sons, Ltd},
    title     = {Applied Multiway Data Analysis},
    year      = {2008}
}

@book{Kusolitsch2011,
    author    = {Kusolitsch, Norbert},
    doi       = {10.1007/978-3-7091-0685-3},
    isbn      = {978-3-7091-0684-6},
    publisher = {Springer Vienna},
    series    = {Springer-Lehrbuch},
    subtitle  = {{E}ine {E}inf{\"u}hrung},
    title     = {{M}a\ss{}- und {W}ahrscheinlichkeitstheorie},
    year      = {2011}
}

@article{LandgrafLee2020,
    author  = {Andrew J. Landgraf and Yoonkyung Lee},
    doi     = {10.1016/j.jmva.2020.104668},
    issn    = {0047-259X},
    journal = {Journal of Multivariate Analysis},
    pages   = {104668},
    title   = {Dimensionality reduction for binary data through the projection of natural parameters},
    volume  = {180},
    year    = {2020}
}

@book{Lauritzen1996,
    author    = {Lauritzen, Steffen L},
    doi       = {10.1093/oso/9780198522195.001.0001},
    isbn      = {9780198522195},
    month     = {05},
    publisher = {Oxford University Press},
    title     = {{Graphical Models}},
    year      = {1996}
}

@article{LauritzenRichardson2002,
    author    = {Steffen L. Lauritzen and Thomas S. Richardson},
    issn      = {13697412, 14679868},
    journal   = {Journal of the Royal Statistical Society. Series B (Statistical Methodology)},
    number    = {3},
    pages     = {321--361},
    publisher = {[Royal Statistical Society, Wiley]},
    title     = {Chain Graph Models and Their Causal Interpretations},
    url       = {http://www.jstor.org/stable/3088778},
    urldate   = {2024-01-20},
    volume    = {64},
    year      = {2002}
}

@article{LeBihanEtAl2001,
    author  = {Le Bihan, Denis and Mangin, Jean-Fran\c{c}ois and Poupon, Cyril and Clark, Chris A. and Pappata, Sabina and Molko, Nicolas and Chabriat, Hughes},
    doi     = {https://doi.org/10.1002/jmri.1076},
    journal = {Journal of Magnetic Resonance Imaging},
    number  = {4},
    pages   = {534-546},
    title   = {Diffusion tensor imaging: Concepts and applications},
    url     = {https://onlinelibrary.wiley.com/doi/abs/10.1002/jmri.1076},
    volume  = {13},
    year    = {2001}
}

@book{Lee2012,
    author    = {Lee, John M.},
    doi       = {10.1007/978-1-4419-9982-5},
    journal   = {Graduate Texts in Mathematics},
    publisher = {Springer New York},
    title     = {Introduction to Smooth Manifolds},
    year      = {2012}
}

@book{Lee2018,
    author    = {Lee, John M.},
    doi       = {10.1007/978-3-319-91755-9},
    journal   = {Graduate Texts in Mathematics},
    publisher = {Springer International Publishing},
    title     = {Introduction to Riemannian Manifolds},
    year      = {2018}
}

@article{LengPan2018,
    author    = {Leng, Chenlei and Pan, Guangming},
    doi       = {10.3150/17-BEJ980},
    journal   = {Bernoulli},
    number    = {4B},
    pages     = {3833 -- 3863},
    publisher = {Bernoulli Society for Mathematical Statistics and Probability},
    title     = {{Covariance estimation via sparse Kronecker structures}},
    volume    = {24},
    year      = {2018}
}

@article{Lenz1920,
    author  = {W. Lenz},
    journal = {European Physical Journal A},
    pages   = {613--615},
    title   = {Beitrag zum Verst{\"a}ndnis der magnetischen Erscheinungen in festen K{\"o}rpern},
    url     = {https://cds.cern.ch/record/460663},
    volume  = {21},
    year    = {1920}
}

@article{LeporeEtAl2008,
    author  = {Lepore, Natasha and Brun, Caroline and Chou, Yi-Yu and Chiang, Ming-Chang and Dutton, Rebecca A. and Hayashi, Kiralee M. and Luders, Eileen and Lopez, Oscar L. and Aizenstein, Howard J. and Toga, Arthur W. and Becker, James T. and Thompson, Paul M.},
    doi     = {10.1109/TMI.2007.906091},
    journal = {IEEE Transactions on Medical Imaging},
    number  = {1},
    pages   = {129-141},
    title   = {Generalized Tensor-Based Morphometry of HIV/AIDS Using Multivariate Statistics on Deformation Tensors},
    volume  = {27},
    year    = {2008}
}

@article{LeurgansRoss1992,
    author    = {Sue Leurgans and Robert T. Ross},
    doi       = {10.1214/ss/1177011225},
    journal   = {Statistical Science},
    keywords  = {Multi-mode factor analysis, nonlinear least-squares, PARAFAC, three-way arrays},
    number    = {3},
    pages     = {289 -- 310},
    publisher = {Institute of Mathematical Statistics},
    title     = {{Multilinear Models: Applications in Spectroscopy}},
    volume    = {7},
    year      = {1992}
}

@article{LezonEtAl2006,
    author  = {Timothy R. Lezon and Jayanth R. Banavar and Marek Cieplak and Amos Maritan and Nina V. Fedoroff},
    doi     = {10.1073/pnas.0609152103},
    journal = {Proceedings of the National Academy of Sciences},
    number  = {50},
    pages   = {19033-19038},
    title   = {Using the principle of entropy maximization to infer genetic interaction networks from gene expression patterns},
    volume  = {103},
    year    = {2006}
}

@article{Li1991,
    author   = {Li, Ker-Chau},
    doi      = {10.1080/01621459.1991.10475035},
    fjournal = {Journal of the American Statistical Association},
    journal  = {J. Amer. Statist. Assoc.},
    number   = {414},
    pages    = {316--327},
    title    = {{Sliced Inverse Regression for Dimension Reduction}},
    volume   = {86},
    year     = {1991}
}

@article{Li1992,
    author    = {Li, Ker-Chau},
    doi       = {10.1080/01621459.1992.10476258},
    fjournal  = {Journal of the American Statistical Association},
    issn      = {0162-1459,1537-274X},
    journal   = {J. Amer. Statist. Assoc.},
    number    = {420},
    pages     = {1025--1039},
    publisher = {Taylor \& Francis},
    title     = {On principal {H}essian directions for data visualization and dimension reduction: another application of {S}tein's lemma},
    volume    = {87},
    year      = {1992}
}

@book{Li2018,
    author    = {Li, Bing},
    doi       = {10.1201/9781315119427},
    isbn      = {978-1-4987-0447-2},
    mrclass   = {62-02 (62G08 62H12 62H20 62L10)},
    mrnumber  = {3838449},
    note      = {Methods and applications with R},
    pages     = {xxi+283},
    publisher = {CRC Press, Boca Raton, FL},
    series    = {Monographs on Statistics and Applied Probability},
    title     = {Sufficient dimension reduction},
    url       = {https://doi.org/10.1201/9781315119427},
    volume    = {161},
    year      = {2018}
}

@article{LiArtemiouLi2011,
    author    = {Li, Bing and Artemiou, Andreas and Li, Lexin},
    doi       = {10.1214/11-AOS932},
    fjournal  = {The Annals of Statistics},
    journal   = {Ann. Statist.},
    month     = {12},
    number    = {6},
    pages     = {3182--3210},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Principal support vector machines for linear and nonlinear sufficient dimension reduction},
    url       = {https://doi.org/10.1214/11-AOS932},
    volume    = {39},
    year      = {2011}
}

@article{LiKimAltman2010,
    author    = {Bing Li and Min Kyung Kim and Naomi Altman},
    doi       = {10.1214/09-AOS737},
    journal   = {The Annals of Statistics},
    keywords  = {directional regression, electroencephalography, Kronecker envelope, sliced average variance estimate, sliced inverse regression},
    number    = {2},
    pages     = {1094 -- 1121},
    publisher = {Institute of Mathematical Statistics},
    title     = {{On dimension folding of matrix- or array-valued statistical objects}},
    volume    = {38},
    year      = {2010}
}

@article{Lin2019,
    author  = {Lin, Zhenhua},
    doi     = {10.1137/18M1221084},
    journal = {SIAM Journal on Matrix Analysis and Applications},
    number  = {4},
    pages   = {1353--1370},
    title   = {Riemannian Geometry of Symmetric Positive Definite Matrices via Cholesky Decomposition},
    volume  = {40},
    year    = {2019}
}

@inbook{LiuKoike2007,
    author    = {Chunxue Liu and Katsuaki Koike},
    doi       = {10.1007/s11004-007-9085-9},
    journal   = {Mathematical Geology},
    pages     = {289--305},
    publisher = {International Association for Mathematical Geology},
    title     = {Extending Multivariate Space-Time Geostatistics for Environmental Data Analysis},
    year      = {2007}
}

@article{LiWang2007,
    author    = {Bing Li and Shaoli Wang},
    doi       = {10.1198/016214507000000536},
    journal   = {Journal of the American Statistical Association},
    number    = {479},
    pages     = {997-1008},
    publisher = {Taylor \& Francis},
    title     = {On Directional Regression for Dimension Reduction},
    volume    = {102},
    year      = {2007}
}

@article{LiZhaChiaromonte2005,
    author    = {Li, Bing and Zha, Hongyuan and Chiaromonte, Francesca},
    doi       = {10.1214/009053605000000192},
    fjournal  = {The Annals of Statistics},
    journal   = {Ann. Statist.},
    number    = {4},
    pages     = {1580--1616},
    publisher = {The Institute of Mathematical Statistics},
    title     = {Contour regression: A general approach to dimension reduction},
    url       = {https://doi.org/10.1214/009053605000000192},
    volume    = {33},
    year      = {2005}
}

@article{LiZhang2017,
    author    = {Lexin Li and Xin Zhang},
    doi       = {10.1080/01621459.2016.1193022},
    journal   = {Journal of the American Statistical Association},
    number    = {519},
    pages     = {1131-1146},
    publisher = {Taylor & Francis},
    title     = {Parsimonious Tensor Response Regression},
    volume    = {112},
    year      = {2017}
}

@article{Lock2018,
    author    = {Eric F. Lock},
    doi       = {10.1080/10618600.2017.1401544},
    journal   = {Journal of Computational and Graphical Statistics},
    number    = {3},
    pages     = {638-647},
    publisher = {Taylor \& Francis},
    title     = {Tensor-on-Tensor Regression},
    volume    = {27},
    year      = {2018}
}

@article{LuoLi2016,
    author  = {Luo, Wei and Li, Bing},
    doi     = {10.1093/biomet/asw051},
    issn    = {0006-3444, 1464-3510},
    journal = {Biometrika},
    month   = {12},
    number  = {4},
    pages   = {875--887},
    title   = {Combining eigenvalues and variation of eigenvectors for order determination},
    url     = {https://academic.oup.com/biomet/article-lookup/doi/10.1093/biomet/asw051},
    urldate = {2021-10-06},
    volume  = {103},
    year    = {2016}
}

@article{LuoLi2021,
    author  = {Luo, Wei and Li, Bing},
    doi     = {10.1093/biomet/asaa077},
    issn    = {0006-3444, 1464-3510},
    journal = {Biometrika},
    month   = {08},
    number  = {3},
    pages   = {557--574},
    title   = {On order determination by predictor augmentation},
    url     = {https://academic.oup.com/biomet/article/108/3/557/5917626},
    urldate = {2021-10-06},
    volume  = {108},
    year    = {2021}
}

@article{LuZimmerman2005,
    author  = {Nelson Lu and Dale L. Zimmerman},
    doi     = {10.1016/j.spl.2005.04.020},
    issn    = {0167-7152},
    journal = {Statistics \& Probability Letters},
    number  = {4},
    pages   = {449-457},
    title   = {The likelihood ratio test for a separable covariance matrix},
    url     = {https://www.sciencedirect.com/science/article/pii/S0167715205001495},
    volume  = {73},
    year    = {2005}
}

@article{MagnusNeudecker1986,
    author    = {Magnus, Jan R. and Neudecker, Heinz},
    issn      = {02664666, 14694360},
    journal   = {Econometric Theory},
    number    = {2},
    pages     = {157--190},
    publisher = {Cambridge University Press},
    title     = {Symmetry, 0-1 Matrices and Jacobians: A Review},
    url       = {http://www.jstor.org/stable/3532421},
    urldate   = {2023-10-03},
    volume    = {2},
    year      = {1986}
}

@book{MagnusNeudecker1999,
    author    = {Magnus, Jan R. and Neudecker, Heinz},
    isbn      = {0-471-98633-X},
    mrclass   = {15-01 (26-01 62-01)},
    mrnumber  = {1698873},
    note      = {Revised reprint of the 1988 original},
    pages     = {xviii+395},
    publisher = {John Wiley \& Sons, Ltd., Chichester},
    series    = {Wiley Series in Probability and Statistics},
    title     = {Matrix differential calculus with applications in statistics and econometrics},
    year      = {1999}
}

@article{ManceurDutilleul2013,
    author  = {Ameur M. Manceur and Pierre Dutilleul},
    doi     = {10.1016/j.cam.2012.09.017},
    issn    = {0377-0427},
    journal = {Journal of Computational and Applied Mathematics},
    pages   = {37-49},
    title   = {Maximum likelihood estimation for the tensor normal distribution: Algorithm, minimum sample size, and empirical bias and dispersion},
    url     = {https://www.sciencedirect.com/science/article/pii/S0377042712003810},
    volume  = {239},
    year    = {2013}
}

@incollection{MardiaGoodall1993,
    author    = {Mardia, Kanti V. and Goodall, Colin R.},
    booktitle = {Multivariate environmental statistics},
    isbn      = {0-444-89804-2},
    mrclass   = {62H11},
    mrnumber  = {1268443},
    pages     = {347--386},
    publisher = {North-Holland, Amsterdam},
    series    = {North-Holland Ser. Statist. Probab.},
    title     = {Spatial-temporal analysis of multivariate environmental monitoring data},
    volume    = {6},
    year      = {1993}
}

@inproceedings{MartinFernandez2004,
    address   = {Berlin, Heidelberg},
    author    = {Mart{\'i}n-Fern{\'a}ndez, Marcos and Westin, Carl-Fredrik and Alberola-L{\'o}pez, Carlos},
    booktitle = {Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2004},
    editor    = {Barillot, Christian and Haynor, David R. and Hellier, Pierre},
    isbn      = {978-3-540-30135-6},
    pages     = {351--359},
    publisher = {Springer Berlin Heidelberg},
    title     = {3D Bayesian Regularization of Diffusion Tensor MRI Using Multivariate Gaussian Markov Random Fields},
    year      = {2004}
}

@article{MaZhu2013,
    author   = {Ma, Yanyuan and Zhu, Liping},
    doi      = {10.1111/j.1751-5823.2012.00182.x},
    fjournal = {International Statistical Review. Revue Internationale de Statistique},
    issn     = {0306-7734,1751-5823},
    journal  = {Int. Stat. Rev.},
    mrclass  = {62G08 (62-02 62H12)},
    mrnumber = {3047506},
    number   = {1},
    pages    = {134--150},
    title    = {A review on dimension reduction},
    url      = {https://doi.org/10.1111/j.1751-5823.2012.00182.x},
    volume   = {81},
    year     = {2013}
}

@book{McCullagh1987,
    author    = {McCullagh, Peter},
    doi       = {10.1201/9781351077118},
    publisher = {Chapman and Hall/CRC},
    subtitle  = {Monographs on Statistics and Applied Probability},
    title     = {Tensor Methods in Statistics},
    year      = {1987}
}

@article{McCullochPitts1943,
    author    = {Mc{C}ulloch, Warren S and Pitts, Walter},
    journal   = {Bulletin of Mathematical Biophysics},
    pages     = {115--133},
    publisher = {Springer},
    title     = {A Logical Calculus of the Ideas Immanent in Nervous Activity},
    volume    = {5},
    year      = {1943}
}

@article{Nadarajah2005,
    author    = {Saralees Nadarajah},
    doi       = {10.1080/02664760500079464},
    journal   = {Journal of Applied Statistics},
    number    = {7},
    pages     = {685--694},
    publisher = {Taylor \& Francis},
    title     = {A generalized normal distribution},
    volume    = {32},
    year      = {2005}
}

@inproceedings{Nesterov1983,
    author       = {Nesterov, Yurii Evgen'evich},
    booktitle    = {Doklady Akademii Nauk},
    number       = {3},
    organization = {Russian Academy of Sciences},
    pages        = {543--547},
    title        = {A method of solving a convex programming problem with convergence rate $O(1/k^2)$},
    volume       = {269},
    year         = {1983}
}

@article{NguyenEtAl2017,
    author    = {H. Chau Nguyen and Riccardo Zecchina and Johannes Berg},
    doi       = {10.1080/00018732.2017.1341604},
    journal   = {Advances in Physics},
    number    = {3},
    pages     = {197--261},
    publisher = {Taylor \& Francis},
    title     = {Inverse statistical problems: from the inverse {I}sing problem to data science},
    volume    = {66},
    year      = {2017}
}

@article{Niss2005,
    author   = {Niss, Martin},
    doi      = {10.1007/s00407-004-0088-3},
    fjournal = {Archive for History of Exact Sciences},
    issn     = {1432-0657},
    journal  = {Arch. Hist. Exact Sci.},
    number   = {3},
    pages    = {267--318},
    title    = {{History of the Lenz-Ising Model 1920--1950: From Ferromagnetic to Cooperative Phenomena}},
    volume   = {59},
    year     = {2005}
}

@article{OhlsonEtAl2013,
    author  = {Ohlson, Martin and Ahmad, Mumtaz Rauf and von Rosen, Dietrich},
    doi     = {10.1016/j.jmva.2011.05.015},
    issn    = {0047-259X},
    journal = {Journal of Multivariate Analysis},
    pages   = {37-47},
    title   = {The multilinear normal distribution: Introduction and some basic properties},
    url     = {https://www.sciencedirect.com/science/article/pii/S0047259X11001047},
    volume  = {113},
    year    = {2013}
}

@article{Oseledets2011,
    author  = {Oseledets, I. V.},
    doi     = {10.1137/090752286},
    journal = {SIAM Journal on Scientific Computing},
    number  = {5},
    pages   = {2295-2317},
    title   = {Tensor-Train Decomposition},
    volume  = {33},
    year    = {2011}
}

@article{PanMaiZhang2018,
    author    = {Yuqing Pan and Qing Mai and Xin Zhang},
    doi       = {10.1080/01621459.2018.1497500},
    eprint    = {https://doi.org/10.1080/01621459.2018.1497500},
    journal   = {Journal of the American Statistical Association},
    number    = {ja},
    pages     = {1-41},
    publisher = {Taylor & Francis},
    title     = {Covariate-Adjusted Tensor Classification in High dimensions},
    url       = {https://doi.org/10.1080/01621459.2018.1497500},
    volume    = {0},
    year      = {2018}
}

@book{Pepe03,
    address   = {New York},
    author    = {Pepe, M.S.},
    publisher = {Oxford University Press},
    title     = {The Statistical Evaluation of Medical Tests for Classification and Prediction},
    year      = {2003}
}

@article{PfeifferForzaniBura2012,
    author  = {Pfeiffer, Ruth and Forzani, Liliana and Bura, Efstathia},
    doi     = {10.1002/sim.4437},
    journal = {Statistics in medicine},
    month   = {09},
    pages   = {2414-27},
    title   = {Sufficient dimension reduction for longitudinally measured predictors},
    volume  = {31},
    year    = {2012}
}

@article{PfeifferKaplaBura2021,
    author  = {Pfeiffer, Ruth and Kapla, Daniel and Bura, Efstathia},
    doi     = {10.1007/s41060-020-00228-y},
    journal = {International Journal of Data Science and Analytics},
    title   = {{Least squares and maximum likelihood estimation of sufficient reductions in regressions with matrix-valued predictors}},
    volume  = {11},
    year    = {2021}
}


@inproceedings{RabusseauKadri2016,
    author    = {Rabusseau, Guillaume and Kadri, Hachem},
    booktitle = {Advances in Neural Information Processing Systems},
    editor    = {D. Lee and M. Sugiyama and U. Luxburg and I. Guyon and R. Garnett},
    pages     = {},
    publisher = {Curran Associates, Inc.},
    title     = {Low-Rank Regression with Tensor Responses},
    url       = {https://proceedings.neurips.cc/paper_files/paper/2016/file/3806734b256c27e41ec2c6bffa26d9e7-Paper.pdf},
    volume    = {29},
    year      = {2016}
}

@article{Rosenblatt1958,
    author  = {Frank Rosenblatt},
    doi     = {10.1037/h0042519},
    journal = {Psychological Review},
    number  = {6},
    pages   = {386--408},
    title   = {The perceptron: A probabilistic model for information storage and organization in the brain},
    volume  = {65},
    year    = {1958}
}

@inproceedings{Rumelhart1986,
    author = {David E. Rumelhart and Geoffrey E. Hinton and Ronald J. Williams},
    title  = {Learning internal representations by error propagation},
    url    = {https://api.semanticscholar.org/CorpusID:62245742},
    year   = {1986}
}

@article{RuppertWand1994,
    author    = {D. Ruppert and M. P. Wand},
    issn      = {00905364},
    journal   = {The Annals of Statistics},
    number    = {3},
    pages     = {1346--1370},
    publisher = {Institute of Mathematical Statistics},
    title     = {Multivariate Locally Weighted Least Squares Regression},
    url       = {http://www.jstor.org/stable/2242229},
    urldate   = {2024-01-25},
    volume    = {22},
    year      = {1994}
}

@inproceedings{ShanEtAl2008,
    author    = {Shiguang Shan and Bo Cao and Yu Su and Laiyun Qing and Xilin Chen and Wen Gao},
    booktitle = {2008 IEEE Conference on Computer Vision and Pattern Recognition},
    doi       = {10.1109/CVPR.2008.4587375},
    issn      = {1063-6919},
    number    = {},
    pages     = {1-7},
    title     = {Unified Principal Component Analysis with generalized Covariance Matrix for face recognition},
    volume    = {},
    year      = {2008}
}

@inproceedings{ShashuaHazan2005,
    address   = {New York, NY, USA},
    author    = {Shashua, Amnon and Hazan, Tamir},
    booktitle = {Proceedings of the 22nd International Conference on Machine Learning},
    doi       = {10.1145/1102351.1102451},
    isbn      = {1595931805},
    location  = {Bonn, Germany},
    numpages  = {8},
    pages     = {792--799},
    publisher = {Association for Computing Machinery},
    series    = {ICML '05},
    title     = {Non-Negative Tensor Factorization with Applications to Statistics and Computer Vision},
    year      = {2005}
}

@article{Soize2008,
    author  = {C. Soize},
    doi     = {10.1016/j.probengmech.2007.12.019},
    issn    = {0266-8920},
    journal = {Probabilistic Engineering Mechanics},
    note    = {5th International Conference on Computational Stochastic Mechanics},
    number  = {2},
    pages   = {307-323},
    title   = {Tensor-valued random fields for meso-scale stochastic model of anisotropic elastic microstructure and probabilistic analysis of representative volume element size},
    url     = {https://www.sciencedirect.com/science/article/pii/S0266892007000562},
    volume  = {23},
    year    = {2008}
}

@article{SoloveychikTrushin2016,
    author  = {I. Soloveychik and D. Trushin},
    doi     = {10.1016/j.jmva.2016.04.001},
    issn    = {0047-259X},
    journal = {Journal of Multivariate Analysis},
    pages   = {92-113},
    title   = {Gaussian and robust Kronecker product covariance estimation: Existence and uniqueness},
    url     = {https://www.sciencedirect.com/science/article/pii/S0047259X16300070},
    volume  = {149},
    year    = {2016}
}

@misc{SongHero2023,
    archiveprefix = {arXiv},
    author        = {Dogyoon Song and Alfred O. Hero},
    doi           = {10.48550/arXiv.2302.02415},
    eprint        = {2302.02415},
    primaryclass  = {math.ST},
    title         = {On Separability of Covariance in Multiway Data Analysis},
    year          = {2023}
}

@article{SrivastavaEtAl2008,
    author  = {Srivastava, Muni Shanker and von Rosen, Tatjana and von Rosen, Dietrich},
    day     = {01},
    doi     = {10.3103/S1066530708040066},
    issn    = {1934-8045},
    journal = {Mathematical Methods of Statistics},
    month   = {Dec},
    number  = {4},
    pages   = {357-370},
    title   = {Models with a Kronecker product covariance structure: Estimation and testing},
    volume  = {17},
    year    = {2008}
}

@article{SrivastavaEtAl2014,
    author  = {Nitish Srivastava and Geoffrey Hinton and Alex Krizhevsky and Ilya Sutskever and Ruslan Salakhutdinov},
    journal = {Journal of Machine Learning Research},
    number  = {56},
    pages   = {1929-1958},
    title   = {Dropout: A Simple Way to Prevent Neural Networks from Overfitting},
    url     = {http://jmlr.org/papers/v15/srivastava14a.html},
    volume  = {15},
    year    = {2014}
}

@book{SrivastavaKhatri1979,
    address   = {New York, NY [u.a.]},
    author    = {Srivastava, Muni Shanker and Khatri, Chinubal G.},
    isbn      = {0444003029},
    language  = {eng},
    publisher = {North Holland},
    title     = {An introduction to multivariate statistics},
    year      = {1979}
}

@article{Steinberger2018,
    author    = {Steinberger, Lukas and Leeb, Hannes},
    doi       = {10.3150/16-BEJ888},
    fjournal  = {Bernoulli},
    journal   = {Bernoulli},
    number    = {1},
    pages     = {565--591},
    publisher = {Bernoulli Society for Mathematical Statistics and Probability},
    title     = {On conditional moments of high-dimensional random vectors given lower-dimensional projections},
    volume    = {24},
    year      = {2018}
}

@article{Tseng1993,
    author  = {Paul Tseng},
    journal = {Mathematical Programming},
    number  = {1},
    pages   = {231-247},
    title   = {Dual coordinate ascent methods for non-strictly convex minimization},
    volume  = {59},
    year    = {1993}
}

@article{TsiligkaridisHero2013,
    author  = {Tsiligkaridis, Theodoros and Hero, Alfred O.},
    doi     = {10.1109/TSP.2013.2279355},
    journal = {IEEE Transactions on Signal Processing},
    number  = {21},
    pages   = {5347-5360},
    title   = {Covariance Estimation in High Dimensions Via Kronecker Product Expansions},
    volume  = {61},
    year    = {2013}
}

@inbook{Uschmajew2020,
    address   = {Cham},
    author    = {Uschmajew, Andr{\'e} and Vandereycken, Bart},
    booktitle = {Handbook of Variational Methods for Nonlinear Geometric Data},
    doi       = {10.1007/978-3-030-31351-7_9},
    editor    = {Grohs, Philipp and Holler, Martin and Weinmann, Andreas},
    isbn      = {978-3-030-31351-7},
    pages     = {261--313},
    publisher = {Springer International Publishing},
    title     = {Geometric Methods on Low-Rank Matrix and Tensor Manifolds},
    year      = {2020}
}

@book{vanderVaart1998,
    author    = {{van der Vaart}, A.W.},
    isbn      = {0-521-49603-9},
    publisher = {Cambridge University Press},
    series    = {Asymptotic Statistics},
    series    = {Cambridge Series in Statistical and Probabilistic Mathematics},
    title     = {Asymptotic Statistics},
    year      = {1998}
}

@inbook{VanLoanPitsianis1993,
    address   = {Dordrecht},
    author    = {Van Loan, C. F. and Pitsianis, N.},
    booktitle = {Linear Algebra for Large Scale and Real-Time Applications},
    doi       = {10.1007/978-94-015-8196-7_17},
    editor    = {Moonen, Marc S. and Golub, Gene H. and De Moor, Bart L. R.},
    isbn      = {978-94-015-8196-7},
    pages     = {293--314},
    publisher = {Springer Netherlands},
    title     = {Approximation with Kronecker Products},
    year      = {1993}
}

@article{WainwrightJordan2008,
    author  = {Martin J. Wainwright and Michael I. Jordan},
    doi     = {10.1561/2200000001},
    issn    = {1935-8237},
    journal = {Foundations and Trends® in Machine Learning},
    number  = {1--2},
    pages   = {1-305},
    title   = {Graphical Models, Exponential Families, and Variational Inference},
    url     = {http://dx.doi.org/10.1561/2200000001},
    volume  = {1},
    year    = {2008}
}

@article{WangEtAl2022,
    author    = {Yu Wang and Zeyu Sun and Dogyoon Song and Alfred Hero},
    doi       = {10.1214/22-SS139},
    journal   = {Statistics Surveys},
    number    = {none},
    pages     = {238 -- 270},
    publisher = {Amer. Statist. Assoc., the Bernoulli Soc., the Inst. Math. Statist., and the Statist. Soc. Canada},
    title     = {{Kronecker-structured covariance models for multiway data}},
    volume    = {16},
    year      = {2022}
}

@article{WangLi2020,
    author  = {Miaoyan Wang and Lexin Li},
    journal = {Journal of Machine Learning Research},
    number  = {154},
    pages   = {1--38},
    title   = {Learning from Binary Multiway Data: Probabilistic Tensor Decomposition and its Statistical Optimality},
    volume  = {21},
    year    = {2020}
}

@article{WangXia2008,
    author    = {Hansheng Wang and Yingcun Xia},
    doi       = {10.1198/016214508000000418},
    fjournal  = {Journal of the American Statistical Association},
    journal   = {J. Amer. Statist. Assoc.},
    number    = {482},
    pages     = {811--821},
    publisher = {Taylor \& Francis},
    title     = {{Sliced Regression for Dimension Reduction}},
    volume    = {103},
    year      = {2008}
}

@book{Whittaker1990,
    author    = {Whittaker, Joe},
    isbn      = {0-471-91750-8},
    mrclass   = {62-02 (62H17 62J12)},
    mrnumber  = {1112133},
    pages     = {xiv+448},
    publisher = {John Wiley \& Sons, Ltd., Chichester},
    series    = {Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics},
    title     = {Graphical models in applied multivariate statistics},
    year      = {1990}
}

@book{Whittaker2009,
    author    = {J. Whittaker},
    publisher = {Wiley},
    title     = {Graphical Models in Applied Multivariate Statistics},
    year      = {2009}
}

@article{Xia2007,
    author   = {Xia, Yingcun},
    doi      = {10.1214/009053607000000352},
    fjournal = {The Annals of Statistics},
    issn     = {0090-5364,2168-8966},
    journal  = {Ann. Statist.},
    mrclass  = {62G08 (62G09 62H05)},
    mrnumber = {2382662},
    number   = {6},
    pages    = {2654--2690},
    title    = {A constructive approach to the estimation of dimension reduction directions},
    url      = {https://doi.org/10.1198/016214508000000805},
    volume   = {35},
    year     = {2007}
}

@article{Xia2008,
    author   = {Xia, Yingcun},
    doi      = {10.1198/016214508000000805},
    fjournal = {Journal of the American Statistical Association},
    issn     = {0162-1459,1537-274X},
    journal  = {J. Amer. Statist. Assoc.},
    mrclass  = {62E20 (62F10 62G05)},
    mrnumber = {2504209},
    number   = {484},
    pages    = {1631--1640},
    title    = {A multiple-index model and dimension reduction},
    url      = {https://doi.org/10.1198/016214508000000805},
    volume   = {103},
    year     = {2008}
}

@article{XiaEtAl2002,
    author   = {Xia, Yingcun and Tong, Howell and Li, W. K. and Zhu, Li-Xing},
    doi      = {10.1111/1467-9868.03411},
    fjournal = {Journal of the Royal Statistical Society. Series B: Statistical Methodology},
    issn     = {1369-7412},
    journal  = {J. R. Stat. Soc. Ser. B Stat. Methodol.},
    month    = {08},
    number   = {3},
    pages    = {363-410},
    title    = {{An Adaptive Estimation of Dimension Reduction Space}},
    volume   = {64},
    year     = {2002}
}

@article{YangEtAl2004,
    author  = {Jian Yang and D. Zhang and A. F. Frangi and Jingyu Yang},
    doi     = {10.1109/TPAMI.2004.1261097},
    issn    = {0162-8828},
    journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
    number  = {1},
    pages   = {131-137},
    title   = {Two-dimensional {PCA}: a new approach to appearance-based face representation and recognition},
    volume  = {26},
    year    = {2004}
}

@article{Ye2005,
    author  = {Ye, Jieping},
    day     = {01},
    doi     = {10.1007/s10994-005-3561-6},
    issn    = {1573-0565},
    journal = {Machine Learning},
    number  = {1},
    pages   = {167--191},
    title   = {Generalized Low Rank Approximations of Matrices},
    url     = {https://doi.org/10.1007/s10994-005-3561-6},
    volume  = {61},
    year    = {2005}
}

@article{YeLim2016,
    author  = {Ye, Ke and Lim, Lek-Heng},
    doi     = {10.1137/15M1054201},
    journal = {SIAM Journal on Matrix Analysis and Applications},
    number  = {3},
    pages   = {1176-1197},
    title   = {Schubert Varieties and Distances between Subspaces of Different Dimensions},
    volume  = {37},
    year    = {2016}
}

@inbook{Yin2010,
    author    = {Yin, Xiangrong},
    booktitle = {High-Dimensional Data Analysis},
    pages     = {257--273},
    publisher = {WORLD SCIENTIFIC / HIGHER EDUCATION PRESS, CHINA},
    title     = {Sufficient Dimension Reduction in Regression},
    url       = {https://doi.org/10.1142/9789814324861_0009},
    year      = {2010}
}

@article{YinHilafu2015,
    author     = {Yin, Xiangrong and Hilafu, Haileab},
    doi        = {10.1111/rssb.12093},
    fjournal   = {Journal of the Royal Statistical Society. Series B. Statistical Methodology},
    issn       = {1369-7412,1467-9868},
    journal    = {J. R. Stat. Soc. Ser. B. Stat. Methodol.},
    mrclass    = {62H12},
    mrnumber   = {3382601},
    mrreviewer = {Santiago\ Velilla},
    number     = {4},
    pages      = {879--892},
    title      = {Sequential sufficient dimension reduction for large {$p$}, small {$n$} problems},
    url        = {https://doi.org/10.1111/rssb.12093},
    volume     = {77},
    year       = {2015}
}

@article{YinLiCook2008,
    author   = {Yin, Xiangrong and Li, Bing and Cook, R. Dennis},
    doi      = {10.1016/j.jmva.2008.01.006},
    fjournal = {Journal of Multivariate Analysis},
    issn     = {0047-259X,1095-7243},
    journal  = {J. Multivariate Anal.},
    mrclass  = {62B05 (62H20)},
    mrnumber = {2444817},
    number   = {8},
    pages    = {1733--1757},
    title    = {Successive direction extraction for estimating the central subspace in a multiple-index regression},
    url      = {https://doi.org/10.1016/j.jmva.2008.01.006},
    volume   = {99},
    year     = {2008}
}


@article{YuBiYe2010,
    author  = {Shipeng Yu and Jinbo Bi and Jieping Ye},
    journal = {Data Mining and Knowledge Discovery},
    pages   = {372-392},
    title   = {Matrix-variate and higher-order probabilistic projections},
    volume  = {22},
    year    = {2010}
}

@article{ZengZhu2010,
    author   = {Peng Zeng and Yu Zhu},
    doi      = {10.1016/j.jmva.2009.08.004},
    fjournal = {Journal of Multivariate Analysis},
    issn     = {0047-259X},
    journal  = {J. Multivariate Anal.},
    number   = {1},
    pages    = {271--290},
    title    = {An integral transform method for estimating the central mean and central subspaces},
    url      = {https://www.sciencedirect.com/science/article/pii/S0047259X0900147X},
    volume   = {101},
    year     = {2010}
}

@article{ZhangLin2017,
    author    = {Xin Zhang and Lexin Li},
    doi       = {10.1080/00401706.2016.1272495},
    journal   = {Technometrics},
    number    = {4},
    pages     = {426-436},
    publisher = {Taylor & Francis},
    title     = {Tensor Envelope Partial Least-Squares Regression},
    volume    = {59},
    year      = {2017}
}

@article{ZhangZhou2005,
    author  = {Daoqiang Zhang and Zhi-Hua Zhou},
    doi     = {10.1016/j.neucom.2005.06.004},
    issn    = {0925-2312},
    journal = {Neurocomputing},
    note    = {Neural Networks in Signal Processing},
    number  = {1},
    pages   = {224-231},
    title   = {{(2D)2PCA}: Two-directional two-dimensional {PCA} for efficient face representation and recognition},
    url     = {https://www.sciencedirect.com/science/article/pii/S0925231205001785},
    volume  = {69},
    year    = {2005}
}

@article{ZhouEtAl2023,
    author    = {Jie Zhou, Will Wei Sun, Jingfei Zhang and Lexin Li},
    doi       = {10.1080/01621459.2021.1938082},
    journal   = {Journal of the American Statistical Association},
    number    = {541},
    pages     = {424-439},
    publisher = {Taylor & Francis},
    title     = {Partially Observed Dynamic Tensor Response Regression},
    volume    = {118},
    year      = {2023}
}

@article{ZhouLi2014,
    author    = {Zhou, Hua and Li, Lexin},
    journal   = {Journal of the Royal Statistical Society. Series B (Statistical Methodology)},
    number    = {2},
    pages     = {463--483},
    publisher = {[Royal Statistical Society, Wiley]},
    title     = {Regularized matrix regression},
    volume    = {76},
    year      = {2014}
}

@article{ZhouLiZhu2013,
    author  = {Zhou, H. and Li, L. and Zhu, H.},
    issue   = {502},
    journal = {Journal of the American Statistical Association},
    pages   = {540-552},
    title   = {Tensor regression with applications in neuroimaging data analysis},
    volume  = {108},
    year    = {2013}
}

@article{ZouChen2012,
    author  = {Zou, Changliang and Chen, Xin},
    journal = {Journal of Multivariate Analysis},
    number  = {C},
    pages   = {248-255},
    title   = {On the consistency of coordinate-independent sparse estimation with BIC},
    volume  = {112},
    year    = {2012}
}



@misc{lichess-database,
    title  = {lichess.org open database},
    author = {Thibault Duplessis},
    year   = {2013},
    note   = {visited on December 8, 2023},
    url    = {https://database.lichess.org}
}

@misc{stockfish,
    title     = {Stockfish},
    author    = {{The Stockfish developers (see \href{https://github.com/official-stockfish/Stockfish/blob/master/AUTHORS}{AUTHORS} file)}},
    year      = {since 2008},
    note      = {Stockfish is a free and strong UCI chess engine. URL: \url{https://stockfishchess.org}},
    shorthand = {SF08},
    sortyear  = 2008
}