@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; 0-521-53746-0},
    mrclass   = {15-01 (91B02)},
    mrnumber  = {2408356},
    series    = {Econometric Exercises}
}

@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}}
}

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

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

@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)},
    mrnumber   = {606011},
    mrreviewer = {Pi-Erh\ Lin},
    series     = {Wiley Series in Probability and Mathematical Statistics}
}

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

@article{BasserPajevic2000,
    author  = {Basser, Peter J. and Pajevic, Sinisa},
    year    = {2000},
    title   = {Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise},
    journal = {Magnetic Resonance in Medicine},
    volume  = {44},
    number  = {1},
    pages   = {41-50},
    doi     = {10.1002/1522-2594(200007)44:1<41::AID-MRM8>3.0.CO;2-O}
}

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

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

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

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

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

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

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

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

@article{BuraDuarteForzani2016,
    author    = {Efstathia Bura and Sabrina Duarte and Liliana Forzani},
    year      = {2016},
    title     = {Sufficient Reductions in Regressions With Exponential Family Inverse Predictors},
    journal   = {J. Amer. Statist. Assoc.},
    volume    = {111},
    number    = {515},
    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},
    journal  = {J. Mach. Learn. Res.},
    volume   = {23},
    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{BuraForzani2015,
    author    = {Bura, Efstathia and Forzani, Liliana},
    year      = {2015},
    title     = {{Sufficient Reductions in Regressions With Elliptically Contoured Inverse Predictors}},
    journal   = {J. Amer. Statist. Assoc.},
    volume    = {110},
    number    = {509},
    pages     = {420--434},
    publisher = {Taylor \& Francis},
    issn      = {0162-1459,1537-274X},
    doi       = {10.1080/01621459.2014.914440},
    fjournal  = {Journal of the American Statistical Association},
    mrclass   = {62J02 (62J05 62P10)}
}

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

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

@article{Bury2013,
    author  = {Thomas Bury},
    year    = {2013},
    title   = {Market structure explained by pairwise interactions},
    journal = {Physica A: Statistical Mechanics and its Applications},
    volume  = {392},
    number  = {6},
    pages   = {1375-1385},
    issn    = {0378-4371},
    doi     = {10.1016/j.physa.2012.10.046}
}

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

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

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

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

@article{ChenEtAl2021,
    author  = {Chen, You-Lin and Kolar, Mladen and Tsay, Ruey S.},
    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,
    author  = {Cheng, Jie and Levina, Elizaveta and Wang, Pei and Zhu, Ji},
    year    = {2014},
    title   = {A sparse Ising model with covariates},
    journal = {Biometrics},
    volume  = {70},
    number  = {4},
    pages   = {943-953},
    doi     = {10.1111/biom.12202}
}

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

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

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

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

@incollection{Comon2002,
    author    = {Comon, Pierre},
    year      = {2002},
    title     = {{Tensor Decompositions: State of the Art and Applications}},
    publisher = {Oxford University Press},
    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},
    booktitle = {{Mathematics in Signal Processing V}},
    isbn      = {9780198507345},
    month     = {06}
}

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

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

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

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

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

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

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

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

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

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

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

@article{CoxWermuth1994,
    author   = {Cox, D. R. and Wermuth, Nanny},
    year     = {1994},
    title    = {A note on the quadratic exponential binary distribution},
    journal  = {Biometrika},
    volume   = {81},
    number   = {2},
    pages    = {403--408},
    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},
    mrnumber = {1294901}
}

@book{Dai2012,
    author    = {Dai, Bin},
    year      = {2012},
    title     = {Multivariate {B}ernoulli distribution models},
    pages     = {109},
    publisher = {ProQuest LLC, Ann Arbor, MI},
    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},
    isbn      = {978-1267-53750-8},
    mrclass   = {99-05},
    mrnumber  = {3078422},
    note      = {Thesis (Ph.D.)--The University of Wisconsin - Madison}
}

@article{DaiDingWahba2013,
    author   = {Dai, Bin and Ding, Shilin and Wahba, Grace},
    year     = {2013},
    title    = {Multivariate {B}ernoulli distribution},
    journal  = {Bernoulli},
    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,
    author    = {A. P. Dawid},
    year      = {1981},
    title     = {Some Matrix-Variate Distribution Theory: Notational Considerations and a Bayesian Application},
    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,
    author  = {André L.F. {de Almeida} and Gérard Favier and João Cesar M. Mota},
    year    = {2007},
    title   = {PARAFAC-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization},
    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}
}

@misc{DeesMandic2019,
    author        = {Bruno Scalzo Dees and Anh-Huy Phan and Danilo P. Mandic},
    year          = {2019},
    title         = {A Statistically Identifiable Model for Tensor-Valued Gaussian Random Variables},
    eprint        = {1911.02915},
    archiveprefix = {arXiv},
    primaryclass  = {eess.SP}
}

@article{DeLathauwerCastaing2007,
    author  = {Lieven {De Lathauwer} and Joséphine Castaing},
    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{deLeeuwMichailidis2000,
    author  = {J. de Leeuw and G. Michailidis},
    year    = {2000},
    title   = {Discussion article on the paper by Lange, Hunter \& Yang (2000)},
    journal = {Journal of Computational and  Graphical Statistics},
    volume  = {9},
    pages   = {26-31}
} 

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

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

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

@article{DrtonEtAl2020,
    author     = {Drton, Mathias and Kuriki, Satoshi and Hoff, Peter},
    year       = {2021},
    title      = {Existence and uniqueness of the {K}ronecker covariance {MLE}},
    journal    = {Ann. Statist.},
    volume     = {49},
    number     = {5},
    pages      = {2721--2754},
    issn       = {0090-5364,2168-8966},
    doi        = {10.1214/21-aos2052},
    url        = {https://doi.org/10.1214/21-aos2052},
    fjournal   = {The Annals of Statistics},
    mrclass    = {62H12 (62R01)},
    mrnumber   = {4338381},
    mrreviewer = {Burcu\ H.\ Ucer}
}

@article{DrydenEtAl2009,
    author    = {Ian L. Dryden and Alexey Koloydenko and Diwei Zhou},
    year      = {2009},
    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},
    publisher = {Institute of Mathematical Statistics},
    doi       = {10.1214/09-AOAS249}
}

@misc{Dutilleul1990,
    author  = {Pierre Dutilleul},
    year    = {1990},
    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},
    address = {Department of Mathematics. Universit\'e catholique de Louvian, Louvain-la-Neuve, Belgium},
    note    = {Unpublished D.Sc. Dissertation}
}

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

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

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

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

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

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

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

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

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

@inproceedings{FischerIgel2012,
    author    = {Fischer, Asja and Igel, Christian},
    year      = {2012},
    title     = {An Introduction to Restricted Boltzmann Machines},
    pages     = {14--36},
    publisher = {Springer Berlin Heidelberg},
    address   = {Berlin, Heidelberg},
    booktitle = {Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications},
    editor    = {Alvarez, Luis and Mejail, Marta and Gomez, Luis and Jacobo, Julio},
    isbn      = {978-3-642-33275-3}
}

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

@misc{FriedbergEtAl2020,
    author        = {Rina Friedberg and Julie Tibshirani and Susan Athey and Stefan Wager},
    year          = {2020},
    title         = {{Local Linear Forests}},
    eprint        = {1807.11408},
    archiveprefix = {arXiv},
    primaryclass  = {stat.ML}
}

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

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

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

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

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

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

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

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

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

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

@article{Habeck2014,
    author    = {Habeck, Michael},
    year      = {2014},
    title     = {Bayesian approach to inverse statistical mechanics},
    journal   = {Phys. Rev. E},
    volume    = {89},
    pages     = {052113},
    publisher = {American Physical Society},
    doi       = {10.1103/PhysRevE.89.052113},
    issue     = {5},
    month     = {May},
    numpages  = {7}
}

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

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

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

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

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

@article{HillarLim2013,
    author     = {Hillar, Christopher J. and Lim, Lek\-Heng},
    year       = {2013},
    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,
    author  = {Hinton, Geoffrey E.},
    year    = {2002},
    title   = {{Training Products of Experts by Minimizing Contrastive Divergence}},
    journal = {Neural Computation},
    volume  = {14},
    number  = {8},
    pages   = {1771--1800},
    issn    = {0899-7667},
    doi     = {10.1162/089976602760128018},
    month   = {08}
}

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

@article{Hoff2011,
    author    = {Peter D. Hoff},
    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{Hornik1991,
    author  = {Hornik, Kurt},
    year    = {1991},
    title   = {Approximation capabilities of multilayer feedforward networks},
    journal = {Neural Networks},
    volume  = {4},
    number  = {2},
    pages   = {251-257},
    issn    = {0893-6080},
    note    = {\url{https://doi.org/10.1016/0893-6080(91)90009-T}}
}

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

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

@book{JamesEtAl2021,
    author    = {James, Gareth and Witten, Daniela and Hastie, Trevor and Tibshirani, Robert},
    year      = {2021},
    title     = {An introduction to statistical learning---with applications in {R}},
    pages     = {xv+607},
    publisher = {Springer, New York},
    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},
    series    = {Springer Texts in Statistics}
}

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

@book{JohnsonEtAl1997,
    author    = {Johnson, Norman L. and Kotz, Samuel and Balakrishnan, N.},
    year      = {1997},
    title     = {{Discrete Multivariate Distributions}},
    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{Jolliffe1982,
    author    = {Ian T. Jolliffe},
    year      = {1982},
    title     = {A Note on the Use of Principal Components in Regression},
    journal   = {Journal of the Royal Statistical Society. Series C (Applied Statistics)},
    volume    = {31},
    number    = {3},
    pages     = {300--303},
    publisher = {[Wiley, Royal Statistical Society]},
    issn      = {00359254, 14679876},
    url       = {http://www.jstor.org/stable/2348005}
}

@article{JungEtAl2019,
    author    = {Sungkyu Jung and Jeongyoun Ahn and Yongho Jeon},
    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}
}

@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}
}

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

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

@article{KingmaWelling2019,
    author    = {Kingma, Diederik P. and Welling, Max},
    year      = {2019},
    title     = {An Introduction to Variational Autoencoders},
    journal   = {Foundations and Trends® in Machine Learning},
    volume    = {12},
    number    = {4},
    pages     = {307--392},
    publisher = {Now Publishers},
    issn      = {1935-8245},
    doi       = {10.1561/2200000056}
}

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

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

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

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

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

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

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

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

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

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

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

@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},
    year    = {2001},
    title   = {Diffusion tensor imaging: Concepts and applications},
    journal = {Journal of Magnetic Resonance Imaging},
    volume  = {13},
    number  = {4},
    pages   = {534-546},
    doi     = {https://doi.org/10.1002/jmri.1076}
}

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

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

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

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

@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.},
    year    = {2008},
    title   = {Generalized Tensor-Based Morphometry of HIV/AIDS Using Multivariate Statistics on Deformation Tensors},
    journal = {IEEE Transactions on Medical Imaging},
    volume  = {27},
    number  = {1},
    pages   = {129-141},
    doi     = {10.1109/TMI.2007.906091}
}

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

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

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

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

@book{Li2018,
    author    = {Li, Bing},
    year      = {2018},
    title     = {Sufficient dimension reduction},
    volume    = {161},
    pages     = {xxi+283},
    publisher = {CRC Press, Boca Raton, FL},
    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},
    series    = {Monographs on Statistics and Applied Probability}
}

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

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

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

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

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

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

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

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

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

@article{LuoLi2016,
    author  = {Luo, Wei and Li, Bing},
    year    = {2016},
    title   = {Combining eigenvalues and variation of eigenvectors for order determination},
    journal = {Biometrika},
    volume  = {103},
    number  = {4},
    pages   = {875--887},
    issn    = {0006-3444, 1464-3510},
    doi     = {10.1093/biomet/asw051},
    month   = {12}
}

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

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

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

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

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

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

@inproceedings{MartinFernandez2004,
    author    = {Mart{\'i}n-Fern{\'a}ndez, Marcos and Westin, Carl-Fredrik and Alberola-L{\'o}pez, Carlos},
    year      = {2004},
    title     = {3D Bayesian Regularization of Diffusion Tensor MRI Using Multivariate Gaussian Markov Random Fields},
    pages     = {351--359},
    publisher = {Springer Berlin Heidelberg},
    address   = {Berlin, Heidelberg},
    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}
}

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

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

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

@article{MukherjeeEtAl2022,
    author  = {Mukherjee, Somabha and Son, Jaesung and Bhattacharya, Bhaswar B},
    year    = {2022},
    title   = {Estimation in tensor Ising models},
    journal = {Information and Inference: A Journal of the IMA},
    volume  = {11},
    number  = {4},
    pages   = {1457--1500},
    issn    = {2049-8772},
    doi     = {10.1093/imaiai/iaac007},
    month   = {06}
}

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

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

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

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

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

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

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

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

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

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

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

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


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

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

@article{SchneidmanEtAl2006,
    author  = {Schneidman, Elad and Berry, Michael J. and Segev, Ronen and Bialek, William},
    year    = {2006},
    title   = {Weak pairwise correlations imply strongly correlated network states in a neural population},
    journal = {Nature},
    volume  = {440},
    number  = {7087},
    pages   = {1007-1012},
    issn    = {1476-4687},
    doi     = {10.1038/nature04701},
    day     = {01},
    month   = {Apr}
}

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

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

@inproceedings{Smolensky1986,
    author = {Paul Smolensky},
    year   = {1986},
    title  = {Information Processing in Dynamical Systems: Foundations of Harmony Theory},
    url    = {https://stanford.edu/~jlmcc/papers/PDP/Volume%201/Chap6_PDP86.pdf}
}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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



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

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

@misc{eeg-dataset,
    author  = {Henri Begleiter},
    year    = 1999,
    title   = {EEG dataset},
    url     = {http://kdd.ics.uci.edu/databases/eeg/eeg.data.html},
    note    = {Donated by Lester Ingber}
}
