1034 lines
39 KiB
BibTeX
1034 lines
39 KiB
BibTeX
@book{AbadirMagnus2005,
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title = {Matrix Algebra},
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author = {Abadir, Karim M. and Magnus, Jan R.},
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year = {2005},
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publisher = {Cambridge University Press},
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series = {Econometric Exercises},
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collection = {Econometric Exercises},
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place = {Cambridge},
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doi = {10.1017/CBO9780511810800}
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}
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@book{AbsilEtAt2007,
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title = {{Optimization Algorithms on Matrix Manifolds}},
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author = {Absil, P.-A. and Mahony, R. and Sepulchre, R.},
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year = {2007},
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publisher = {Princeton University Press},
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isbn = {9780691132983},
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note = {Full Online Text \url{https://press.princeton.edu/absil}}
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}
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@book{Arnold1981,
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title = {The theory of linear models and multivariate analysis},
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author = {Arnold, Steven F},
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year = {1981},
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series = {Wiley series in probability and mathematical statistics : Probability and mathematical statistics},
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publisher = {Wiley},
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isbn = {0471050652},
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language = {eng},
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address = {New York, NY [u.a.]},
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keywords = {Multivariate Analyse}
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}
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@article{BasserPajevic2000,
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title = {Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise},
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author = {Basser, Peter J. and Pajevic, Sinisa},
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year = {2000},
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journal = {Magnetic Resonance in Medicine},
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volume = {44},
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number = {1},
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pages = {41-50},
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doi = {10.1002/1522-2594(200007)44:1<41::AID-MRM8>3.0.CO;2-O},
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url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/1522-2594%28200007%2944%3A1%3C41%3A%3AAID-MRM8%3E3.0.CO%3B2-O}
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}
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@article{BasserPajevic2003,
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title = {A normal distribution for tensor-valued random variables: applications to diffusion tensor MRI},
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author = {Basser, Peter J and Pajevic, Sinisa},
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journal = {IEEE transactions on medical imaging},
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volume = {22},
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number = {7},
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pages = {785--794},
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year = {2003},
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publisher = {IEEE}
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}
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@article{BasserPajevic2007,
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title = {Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI},
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journal = {Signal Processing},
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volume = {87},
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|
number = {2},
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|
pages = {220-236},
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|
year = {2007},
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|
note = {Tensor Signal Processing},
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issn = {0165-1684},
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doi = {https://doi.org/10.1016/j.sigpro.2006.02.050},
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url = {https://www.sciencedirect.com/science/article/pii/S0165168406001678},
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author = {Peter J. Basser and Sinisa Pajevic}
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}
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@article{BrownEtAt2001,
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title = {Bayesian discrimination with longitudinal data},
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author = {Brown, P. J. and Kenward, M. G. and Bassett, E. E.},
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year = {2001},
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journal = {Biostatistics},
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volume = {2},
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number = {4},
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pages = {417-432},
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month = {12},
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issn = {1465-4644},
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doi = {10.1093/biostatistics/2.4.417}
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}
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@article{BuraDuarteForzani2016,
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author = {Efstathia Bura and Sabrina Duarte and Liliana Forzani},
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title = {Sufficient Reductions in Regressions With Exponential Family Inverse Predictors},
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journal = {Journal of the American Statistical Association},
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volume = {111},
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number = {515},
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pages = {1313-1329},
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year = {2016},
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publisher = {Taylor \& Francis},
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doi = {10.1080/01621459.2015.1093944}
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}
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@article{BuraEtAt2018,
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author = {Bura, Efstathia and Duarte, Sabrina and Forzani, Liliana and E. Smucler and M. Sued},
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title = {Asymptotic theory for maximum likelihood estimates in reduced-rank multivariate generalized linear models},
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journal = {Statistics},
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volume = {52},
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number = {5},
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pages = {1005-1024},
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year = {2018},
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publisher = {Taylor \& Francis},
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doi = {10.1080/02331888.2018.1467420},
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}
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@article{BuraForzaniEtAt2022,
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author = {Efstathia Bura and Liliana Forzani and Rodrigo Garcia Arancibia and Pamela Llop and Diego Tomassi},
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title = {Sufficient reductions in regression with mixed predictors},
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journal = {Journal of Machine Learning Research},
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year = {2022},
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volume = {23},
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number = {102},
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pages = {1--47},
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url = {http://jmlr.org/papers/v23/21-0175.html}
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}
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@article{Burdick1995,
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title = {An introduction to tensor products with applications to multiway data analysis},
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journal = {Chemometrics and Intelligent Laboratory Systems},
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volume = {28},
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number = {2},
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pages = {229-237},
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year = {1995},
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issn = {0169-7439},
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doi = {10.1016/0169-7439(95)80060-M},
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url = {https://www.sciencedirect.com/science/article/pii/016974399580060M},
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author = {Donald S. Burdick}
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}
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@book{CasellaBerger2002,
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title = {{Statistical Inference}},
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|
author = {Casella, George and Berger, Roger L.},
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isbn = {0-534-24312-6},
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series = {Duxbury Advanced Series},
|
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year = {2002},
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edition = {2},
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publisher = {Thomson Learning}
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}
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@article{ChenEtAt2021,
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author = {Chen, You-Lin and Kolar, Mladen and Tsay, Ruey S.},
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title = {Tensor Canonical Correlation Analysis With Convergence and Statistical Guarantees},
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year = {2021},
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journal = {Journal of Computational and Graphical Statistics},
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volume = {30},
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number = {3},
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|
pages = {728--744},
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doi = {10.1080/10618600.2020.1856118}
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}
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@article{ChengEtAt2014,
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author = {Cheng, Jie and Levina, Elizaveta and Wang, Pei and Zhu, Ji},
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title = {A sparse Ising model with covariates},
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journal = {Biometrics},
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volume = {70},
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number = {4},
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year = {2014},
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pages = {943-953},
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doi = {10.1111/biom.12202}
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}
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@incollection{Comon2002,
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author = {Comon, Pierre},
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isbn = {9780198507345},
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title = {{Tensor Decompositions: State of the Art and Applications}},
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booktitle = {{Mathematics in Signal Processing V}},
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publisher = {Oxford University Press},
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year = {2002},
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month = {06},
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doi = {10.1093/oso/9780198507345.003.0001},
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eprint = {https://academic.oup.com/book/0/chapter/422056726/chapter-pdf/52392862/isbn-9780198507345-book-part-1.pdf}
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}
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@INPROCEEDINGS{Comon2009,
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author = {Comon, Pierre},
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booktitle = {2009 IEEE/SP 15th Workshop on Statistical Signal Processing},
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title = {Tensors versus matrices usefulness and unexpected properties},
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year = {2009},
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volume = {},
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number = {},
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pages = {781-788},
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doi = {10.1109/SSP.2009.5278471}
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}
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@article{Cook2007,
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author = {Cook, R. Dennis},
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journal = {Statistical Science},
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month = {02},
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number = {1},
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pages = {1--26},
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publisher = {The Institute of Mathematical Statistics},
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title = {{Fisher Lecture: Dimension Reduction in Regression}},
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volume = {22},
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year = {2007},
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doi = {10.1214/088342306000000682}
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}
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@article{Dai2012,
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author = {B. Dai},
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title = {Multivariate bernoulli distribution models},
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year = {2012}
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}
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@article{DaiDingWahba2013,
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author = {B. Dai and S. Ding and G. Wahba},
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title = {Multivariate bernoulli distribution},
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year = {2013}
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}
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@article{Dawid1981,
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ISSN = {00063444},
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URL = {http://www.jstor.org/stable/2335827},
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abstract = {We introduce and justify a convenient notation for certain matrix-variate distributions which, by its emphasis on the important underlying parameters, and the theory on which it is based, eases greatly the task of manipulating such distributions. Important examples include the matrix-variate normal, t, F and beta, and the Wishart and inverse Wishart distributions. The theory is applied to compound matrix distributions and to Bayesian prediction in the multivariate linear model.},
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author = {A. P. Dawid},
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journal = {Biometrika},
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number = {1},
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pages = {265--274},
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publisher = {[Oxford University Press, Biometrika Trust]},
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title = {Some Matrix-Variate Distribution Theory: Notational Considerations and a Bayesian Application},
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urldate = {2024-01-12},
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volume = {68},
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year = {1981}
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}
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@article{DeAlmeidaEtAt2007,
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title = {PARAFAC-based unified tensor modeling for wireless communication systems with application to blind multiuser equalization},
|
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journal = {Signal Processing},
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volume = {87},
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number = {2},
|
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pages = {337-351},
|
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year = {2007},
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note = {Tensor Signal Processing},
|
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issn = {0165-1684},
|
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doi = {https://doi.org/10.1016/j.sigpro.2005.12.014},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0165168406001757},
|
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author = {André L.F. {de Almeida} and Gérard Favier and João Cesar M. Mota}
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}
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@article{DeesMandic2019,
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title = {A Statistically Identifiable Model for Tensor-Valued Gaussian Random Variables},
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author = {Bruno Scalzo Dees and Danilo P. Mandic},
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journal = {ArXiv},
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year = {2019},
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volume = {abs/1911.02915},
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url = {https://api.semanticscholar.org/CorpusID:207847615}
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}
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|
|
@article{DeLathauwerCastaing2007,
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|
title = {Tensor-based techniques for the blind separation of DS-CDMA signals},
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|
journal = {Signal Processing},
|
|
volume = {87},
|
|
number = {2},
|
|
pages = {322-336},
|
|
year = {2007},
|
|
note = {Tensor Signal Processing},
|
|
issn = {0165-1684},
|
|
doi = {10.1016/j.sigpro.2005.12.015},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0165168406001745},
|
|
author = {Lieven {De Lathauwer} and Joséphine Castaing}
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|
}
|
|
|
|
@article{DingCook2015,
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|
author = {Shanshan Ding and R. Dennis Cook},
|
|
title = {Tensor sliced inverse regression},
|
|
journal = {Journal of Multivariate Analysis},
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|
volume = {133},
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pages = {216-231},
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year = {2015},
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issn = {0047-259X},
|
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doi = {10.1016/j.jmva.2014.08.015}
|
|
}
|
|
|
|
@article{DrtonEtAt2020,
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title = {Existence and uniqueness of the Kronecker covariance MLE},
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author = {Mathias Drton and Satoshi Kuriki and Peter D. Hoff},
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journal = {The Annals of Statistics},
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year = {2020},
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url = {https://api.semanticscholar.org/CorpusID:212718000}
|
|
}
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|
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@article{DrydenEtAt2009,
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author = {Ian L. Dryden and Alexey Koloydenko and Diwei Zhou},
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title = {{Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging}},
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volume = {3},
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journal = {The Annals of Applied Statistics},
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number = {3},
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publisher = {Institute of Mathematical Statistics},
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pages = {1102 -- 1123},
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year = {2009},
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doi = {10.1214/09-AOAS249}
|
|
}
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@misc{Dutilleul1990,
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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},
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author = {Pierre Dutilleul},
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year = {1990},
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note = {Unpublished D.Sc. Dissertation},
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address = {Department of Mathematics. Universit\'e catholique de Louvian, Louvain-la-Neuve, Belgium}
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}
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@article{Dutilleul1999,
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author = {Pierre Dutilleul},
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title = {The mle algorithm for the matrix normal distribution},
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journal = {Journal of Statistical Computation and Simulation},
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volume = {64},
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number = {2},
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pages = {105-123},
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year = {1999},
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publisher = {Taylor & Francis},
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doi = {10.1080/00949659908811970}
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}
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@article{Einstain1916,
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author = {Einstein, Albert},
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title = {Die Grundlage der allgemeinen Relativitätstheorie},
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year = {1916},
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journal = {Annalen der Physik},
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volume = {354},
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number = {7},
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pages = {769-822},
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doi = {10.1002/andp.19163540702}
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}
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@article{GirkaEtAt2024,
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title = {Tensor generalized canonical correlation analysis},
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author = {Fabien Girka and Arnaud Gloaguen and Laurent {Le Brusquet} and Violetta Zujovic and Arthur Tenenhaus},
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year = {2024},
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journal = {Information Fusion},
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volume = {102},
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issn = {1566-2535},
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doi = {10.1016/j.inffus.2023.102045}
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}
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@book{GoodfellowEtAt2016,
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title = {Deep Learning},
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author = {Ian Goodfellow and Yoshua Bengio and Aaron Courville},
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publisher = {MIT Press},
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url = {\url{http://www.deeplearningbook.org}},
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year = {2016}
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}
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@article{GreenewaldHero2014,
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title = {Robust Kronecker Product PCA for Spatio-Temporal Covariance Estimation},
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author = {Kristjan H. Greenewald and Alfred O. Hero},
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journal = {IEEE Transactions on Signal Processing},
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year = {2014},
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volume = {63},
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pages = {6368-6378},
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url = {https://api.semanticscholar.org/CorpusID:15582097}
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}
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@misc{HajriEtAt2017,
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title = {Maximum Likelihood Estimators on Manifolds},
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author = {Hajri, Hatem and Said, Salem and Berthoumieu, Yannick},
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year = {2017},
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journal = {Lecture Notes in Computer Science},
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publisher = {Springer International Publishing},
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pages = {692-700},
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doi = {10.1007/978-3-319-68445-1_80}
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}
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@book{Harville1997,
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title = {Matrix Algebra From a Statistician's Perspective},
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edition = {1},
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author = {David A. Harville},
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year = {1997},
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publisher = {Springer-Verlag},
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address = {New York},
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chapter = {15}
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}
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@article{HillarLim2013,
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author = {Hillar, Christopher J. and Lim, Lek\-Heng},
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title = {Most Tensor Problems Are NP-Hard},
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year = {2013},
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issue_date = {November 2013},
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publisher = {Association for Computing Machinery},
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address = {New York, NY, USA},
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volume = {60},
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issn = {0004-5411},
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url = {https://doi.org/10.1145/2512329},
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doi = {10.1145/2512329},
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journal = {J. ACM},
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month = {nov},
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articleno = {45},
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numpages = {39}
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}
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@misc{Hinton2012,
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title = {Neural networks for machine learning},
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author = {Hinton, G.},
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year = {2012}
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}
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@article{Hoff2011,
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author = {Peter D. Hoff},
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title = {{Separable covariance arrays via the Tucker product, with applications to multivariate relational data}},
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volume = {6},
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journal = {Bayesian Analysis},
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number = {2},
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publisher = {International Society for Bayesian Analysis},
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pages = {179 -- 196},
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keywords = {Gaussian, matrix normal, multiway data, network, tensor, Tucker decomposition},
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year = {2011},
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doi = {10.1214/11-BA606}
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}
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@article{Hoff2015,
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author = {Peter D. Hoff},
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title = {{Multilinear tensor regression for longitudinal relational data}},
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volume = {9},
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journal = {The Annals of Applied Statistics},
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number = {3},
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publisher = {Institute of Mathematical Statistics},
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pages = {1169 -- 1193},
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keywords = {Array normal, Bayesian inference, event data, international relations, network, Tucker product, vector autoregression},
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doi = {10.1214/15-AOAS839}
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}
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@article{HuLeeWang2022,
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author = {Hu, Jiaxin and Lee, Chanwoo and Wang, Miaoyan},
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title = {Generalized Tensor Decomposition With Features on Multiple Modes},
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journal = {Journal of Computational and Graphical Statistics},
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volume = {31},
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number = {1},
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pages = {204-218},
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year = {2022},
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publisher = {Taylor \& Francis},
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doi = {10.1080/10618600.2021.1978471},
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}
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@article{Ising1924,
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author = {Ising, Ernst},
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title = {{Beitrag zur Theorie des Ferromagnetismus}},
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journal = {Zeitschrift f\"ur Physik},
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pages = {253-258},
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volume = {31},
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number = {1},
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year = {1924},
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month = {2},
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issn = {0044-3328},
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doi = {10.1007/BF02980577}
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}
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@article{JungEtAt2019,
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author = {Sungkyu Jung and Jeongyoun Ahn and Yongho Jeon},
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title = {Penalized Orthogonal Iteration for Sparse Estimation of Generalized Eigenvalue Problem},
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journal = {Journal of Computational and Graphical Statistics},
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volume = {28},
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number = {3},
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pages = {710-721},
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year = {2019},
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publisher = {Taylor & Francis},
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doi = {10.1080/10618600.2019.1568014}
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}
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@book{Kaltenbaeck2021,
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title = {Aufbau Analysis},
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author = {Kaltenb\"ack, Michael},
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isbn = {978-3-88538-127-3},
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series = {Berliner Studienreihe zur Mathematik},
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edition = {27},
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year = {2021},
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publisher = {Heldermann Verlag}
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}
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@article{Kapla2019,
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title = {Comparison of Different Word Embeddings and Neural Network Types for Sentiment Analysis of German Political Speeches},
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author = {Kapla, Daniel},
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year = {2019}
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}
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@inproceedings{KofidisRegalia2005,
|
|
title = {Tensor Approximation and Signal Processing Applications},
|
|
author = {Eleftherios Kofidis and Phillip A. Regalia},
|
|
year = {2005},
|
|
url = {https://api.semanticscholar.org/CorpusID:13667742}
|
|
}
|
|
|
|
@article{Kolda2006,
|
|
title = {Multilinear operators for higher-order decompositions.},
|
|
author = {Kolda, Tamara Gibson},
|
|
doi = {10.2172/923081},
|
|
url = {https://www.osti.gov/biblio/923081},
|
|
place = {United States},
|
|
year = {2006},
|
|
month = {4},
|
|
type = {Technical Report}
|
|
}
|
|
|
|
@article{KoldaBader2009,
|
|
author = {Kolda, Tamara G. and Bader, Brett W.},
|
|
title = {Tensor Decompositions and Applications},
|
|
journal = {SIAM Review},
|
|
volume = {51},
|
|
number = {3},
|
|
pages = {455-500},
|
|
year = {2009},
|
|
doi = {10.1137/07070111X}
|
|
}
|
|
|
|
@book{KolloVonRosen2005,
|
|
title = {Advanced Multivariate Statistics with Matrices},
|
|
isbn = {978-1-4020-3419-0},
|
|
doi = {10.1007/1-4020-3419-9},
|
|
publisher = {Springer Dordrecht},
|
|
author = {Kollo, T\~onu and von Rosen, Dietrich},
|
|
editor = {Hazewinkel, M.},
|
|
year = {2005}
|
|
}
|
|
|
|
@book{Kroonenberg2008,
|
|
title = {Applied Multiway Data Analysis},
|
|
author = {Kroonenberg, Pieter M.},
|
|
year = {2008},
|
|
publisher = {John Wiley \& Sons, Ltd},
|
|
address = {New York},
|
|
isbn = {9780470238004},
|
|
doi = {10.1002/9780470238004},
|
|
}
|
|
|
|
@book{Kusolitsch2011,
|
|
title = {{M}a\ss{}- und {W}ahrscheinlichkeitstheorie},
|
|
subtitle = {{E}ine {E}inf{\"u}hrung},
|
|
author = {Kusolitsch, Norbert},
|
|
series = {Springer-Lehrbuch},
|
|
year = {2011},
|
|
publisher = {Springer Vienna},
|
|
isbn = {978-3-7091-0684-6},
|
|
doi = {10.1007/978-3-7091-0685-3}
|
|
}
|
|
|
|
@article{LandgrafLee2020,
|
|
title = {Dimensionality reduction for binary data through the projection of natural parameters},
|
|
journal = {Journal of Multivariate Analysis},
|
|
volume = {180},
|
|
pages = {104668},
|
|
year = {2020},
|
|
issn = {0047-259X},
|
|
doi = {10.1016/j.jmva.2020.104668},
|
|
author = {Andrew J. Landgraf and Yoonkyung Lee}
|
|
}
|
|
|
|
@article{LeBihanEtAt2001,
|
|
title = {Diffusion tensor imaging: Concepts and applications},
|
|
author = {Le Bihan, Denis and Mangin, Jean-François and Poupon, Cyril and Clark, Chris A. and Pappata, Sabina and Molko, Nicolas and Chabriat, Hughes},
|
|
year = {2001},
|
|
journal = {Journal of Magnetic Resonance Imaging},
|
|
volume = {13},
|
|
number = {4},
|
|
pages = {534-546},
|
|
doi = {https://doi.org/10.1002/jmri.1076},
|
|
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/jmri.1076}
|
|
}
|
|
|
|
@book{Lee2012,
|
|
title = {Introduction to Smooth Manifolds},
|
|
author = {Lee, John M.},
|
|
year = {2012},
|
|
journal = {Graduate Texts in Mathematics},
|
|
publisher = {Springer New York},
|
|
doi = {10.1007/978-1-4419-9982-5}
|
|
}
|
|
|
|
@book{Lee2018,
|
|
title = {Introduction to Riemannian Manifolds},
|
|
author = {Lee, John M.},
|
|
year = {2018},
|
|
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},
|
|
title = {{Covariance estimation via sparse Kronecker structures}},
|
|
volume = {24},
|
|
journal = {Bernoulli},
|
|
number = {4B},
|
|
publisher = {Bernoulli Society for Mathematical Statistics and Probability},
|
|
pages = {3833 -- 3863},
|
|
year = {2018},
|
|
doi = {10.3150/17-BEJ980}
|
|
}
|
|
|
|
@article{LeporeEtAt2008,
|
|
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.},
|
|
journal = {IEEE Transactions on Medical Imaging},
|
|
title = {Generalized Tensor-Based Morphometry of HIV/AIDS Using Multivariate Statistics on Deformation Tensors},
|
|
year = {2008},
|
|
volume = {27},
|
|
number = {1},
|
|
pages = {129-141},
|
|
doi = {10.1109/TMI.2007.906091}
|
|
}
|
|
|
|
@article{LeurgansRoss1992,
|
|
title = {{Multilinear Models: Applications in Spectroscopy}},
|
|
author = {Sue Leurgans and Robert T. Ross},
|
|
year = {1992},
|
|
journal = {Statistical Science},
|
|
volume = {7},
|
|
number = {3},
|
|
publisher = {Institute of Mathematical Statistics},
|
|
pages = {289 -- 310},
|
|
keywords = {Multi-mode factor analysis, nonlinear least-squares, PARAFAC, three-way arrays},
|
|
doi = {10.1214/ss/1177011225}
|
|
}
|
|
|
|
@article{LengPan2018,
|
|
author = {Leng, Chenlei and Pan, Guangming},
|
|
title = {{Covariance estimation via sparse Kronecker structures}},
|
|
volume = {24},
|
|
journal = {Bernoulli},
|
|
number = {4B},
|
|
publisher = {Bernoulli Society for Mathematical Statistics and Probability},
|
|
pages = {3833 -- 3863},
|
|
year = {2018},
|
|
doi = {10.3150/17-BEJ980}
|
|
}
|
|
|
|
@article{LeporeEtAt2008,
|
|
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.},
|
|
journal = {IEEE Transactions on Medical Imaging},
|
|
title = {Generalized Tensor-Based Morphometry of HIV/AIDS Using Multivariate Statistics on Deformation Tensors},
|
|
year = {2008},
|
|
volume = {27},
|
|
number = {1},
|
|
pages = {129-141},
|
|
doi = {10.1109/TMI.2007.906091}
|
|
}
|
|
|
|
@article{LeurgansRoss1992,
|
|
title = {{Multilinear Models: Applications in Spectroscopy}},
|
|
author = {Sue Leurgans and Robert T. Ross},
|
|
year = {1992},
|
|
journal = {Statistical Science},
|
|
volume = {7},
|
|
number = {3},
|
|
publisher = {Institute of Mathematical Statistics},
|
|
pages = {289 -- 310},
|
|
keywords = {Multi-mode factor analysis, nonlinear least-squares, PARAFAC, three-way arrays},
|
|
doi = {10.1214/ss/1177011225}
|
|
}
|
|
|
|
@article{Li1991,
|
|
title = {Sliced Inverse Regression for Dimension Reduction},
|
|
author = {Li, K. C.},
|
|
journal = {Journal of the American Statistical Association},
|
|
volume = {86},
|
|
number = {414},
|
|
pages = {316-327},
|
|
year = {1991},
|
|
}
|
|
|
|
@article{Li1992,
|
|
author = {Ker-Chau Li},
|
|
title = {On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma},
|
|
journal = {Journal of the American Statistical Association},
|
|
volume = {87},
|
|
number = {420},
|
|
pages = {1025-1039},
|
|
year = {1992},
|
|
publisher = {Taylor \& Francis},
|
|
doi = {10.1080/01621459.1992.10476258},
|
|
}
|
|
|
|
@article{LiKimAltman2010,
|
|
author = {Bing Li and Min Kyung Kim and Naomi Altman},
|
|
title = {{On dimension folding of matrix- or array-valued statistical objects}},
|
|
volume = {38},
|
|
journal = {The Annals of Statistics},
|
|
number = {2},
|
|
publisher = {Institute of Mathematical Statistics},
|
|
pages = {1094 -- 1121},
|
|
keywords = {directional regression, electroencephalography, Kronecker envelope, sliced average variance estimate, sliced inverse regression},
|
|
year = {2010},
|
|
doi = {10.1214/09-AOS737}
|
|
}
|
|
|
|
# TODO: check this!
|
|
@inbook{LiuKoike2007,
|
|
title = {Extending Multivariate Space-Time Geostatistics for Environmental Data Analysis},
|
|
author = {Chunxue Liu and Katsuaki Koike},
|
|
year = {2007},
|
|
journal = {Mathematical Geology},
|
|
publisher = {International Association for Mathematical Geology},
|
|
pages = {289--305},
|
|
doi = {10.1007/s11004-007-9085-9}
|
|
}
|
|
|
|
@article{LuZimmerman2005,
|
|
title = {The likelihood ratio test for a separable covariance matrix},
|
|
author = {Nelson Lu and Dale L. Zimmerman},
|
|
year = {2005},
|
|
journal = {Statistics \& Probability Letters},
|
|
volume = {73},
|
|
number = {4},
|
|
pages = {449-457},
|
|
issn = {0167-7152},
|
|
doi = {10.1016/j.spl.2005.04.020},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0167715205001495}
|
|
}
|
|
|
|
@article{MagnusNeudecker1986,
|
|
title = {Symmetry, 0-1 Matrices and Jacobians: A Review},
|
|
author = {Magnus, Jan R. and Neudecker, Heinz},
|
|
ISSN = {02664666, 14694360},
|
|
URL = {http://www.jstor.org/stable/3532421},
|
|
journal = {Econometric Theory},
|
|
number = {2},
|
|
pages = {157--190},
|
|
publisher = {Cambridge University Press},
|
|
urldate = {2023-10-03},
|
|
volume = {2},
|
|
year = {1986}
|
|
}
|
|
|
|
@book{MagnusNeudecker1999,
|
|
title = {Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition)},
|
|
author = {Magnus, Jan R. and Neudecker, Heinz},
|
|
year = {1999},
|
|
publisher = {John Wiley \& Sons Ltd},
|
|
isbn = {0-471-98632-1}
|
|
}
|
|
|
|
@article{ManceurDutilleul2013,
|
|
title = {Maximum likelihood estimation for the tensor normal distribution: Algorithm, minimum sample size, and empirical bias and dispersion},
|
|
author = {Ameur M. Manceur and Pierre Dutilleul},
|
|
journal = {Journal of Computational and Applied Mathematics},
|
|
volume = {239},
|
|
pages = {37-49},
|
|
year = {2013},
|
|
issn = {0377-0427},
|
|
doi = {10.1016/j.cam.2012.09.017},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0377042712003810}
|
|
}
|
|
|
|
@article{MardiaGoodall1993,
|
|
title = {Spatial-Temporal Analysis of Multivariate Environmental Monitoring Data},
|
|
author = {Mardia, Kanti and Goodall, Colin},
|
|
year = {1993},
|
|
month = {01},
|
|
pages = {},
|
|
volume = {6},
|
|
publisher = {Elsevier Science Publisher B.V.}
|
|
}
|
|
|
|
@InProceedings{MartinFernandez2004,
|
|
author = {Mart{\'i}n-Fern{\'a}ndez, Marcos and Westin, Carl-Fredrik and Alberola-L{\'o}pez, Carlos},
|
|
editor = {Barillot, Christian and Haynor, David R. and Hellier, Pierre},
|
|
title = {3D Bayesian Regularization of Diffusion Tensor MRI Using Multivariate Gaussian Markov Random Fields},
|
|
booktitle = {Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2004},
|
|
year = {2004},
|
|
publisher = {Springer Berlin Heidelberg},
|
|
address = {Berlin, Heidelberg},
|
|
pages = {351--359},
|
|
abstract = {3D Bayesian regularization applied to diffusion tensor MRI is presented here. The approach uses Markov Random Field ideas and is based upon the definition of a 3D neighborhood system in which the spatial interactions of the tensors are modeled. As for the prior, we model the behavior of the tensor fields by means of a 6D multivariate Gaussian local characteristic. As for the likelihood, we model the noise process by means of conditionally independent 6D multivariate Gaussian variables. Those models include inter-tensor correlations, intra-tensor correlations and colored noise. The solution tensor field is obtained by using the simulated annealing algorithm to achieve the maximum a posteriori estimation. Several experiments both on synthetic and real data are presented, and performance is assessed with mean square error measure.},
|
|
isbn = {978-3-540-30135-6}
|
|
}
|
|
|
|
@book{McCullagh1987,
|
|
title = {Tensor Methods in Statistics},
|
|
subtitle = {Monographs on Statistics and Applied Probability},
|
|
author = {McCullagh, Peter},
|
|
year = {1987},
|
|
publisher = {Chapman and Hall/CRC},
|
|
doi = {10.1201/9781351077118}
|
|
}
|
|
|
|
@inproceedings{Nesterov1983,
|
|
title = {A method of solving a convex programming problem with convergence rate $O(1/k^2)$},
|
|
author = {Nesterov, Yurii Evgen'evich},
|
|
booktitle = {Doklady Akademii Nauk},
|
|
volume = {269},
|
|
number = {3},
|
|
pages = {543--547},
|
|
year = {1983},
|
|
organization= {Russian Academy of Sciences}
|
|
}
|
|
|
|
@article{OhlsonEtAt2013,
|
|
title = {The multilinear normal distribution: Introduction and some basic properties},
|
|
author = {Ohlson, Martin and Ahmad, Mumtaz Rauf and von Rosen, Dietrich},
|
|
year = {2013},
|
|
journal = {Journal of Multivariate Analysis},
|
|
volume = {113},
|
|
pages = {37-47},
|
|
issn = {0047-259X},
|
|
doi = {10.1016/j.jmva.2011.05.015},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0047259X11001047}
|
|
}
|
|
|
|
@article{PfeifferForzaniBura,
|
|
author = {Pfeiffer, Ruth and Forzani, Liliana and Bura, Efstathia},
|
|
year = {2012},
|
|
month = {09},
|
|
pages = {2414-27},
|
|
title = {Sufficient dimension reduction for longitudinally measured predictors},
|
|
volume = {31},
|
|
journal = {Statistics in medicine},
|
|
doi = {10.1002/sim.4437}
|
|
}
|
|
|
|
@article{PfeifferKaplaBura2021,
|
|
author = {Pfeiffer, Ruth and Kapla, Daniel and Bura, Efstathia},
|
|
title = {{Least squares and maximum likelihood estimation of sufficient reductions in regressions with matrix-valued predictors}},
|
|
volume = {11},
|
|
year = {2021},
|
|
journal = {International Journal of Data Science and Analytics},
|
|
doi = {10.1007/s41060-020-00228-y}
|
|
}
|
|
|
|
@inproceedings{ShashuaHazan2005,
|
|
author = {Shashua, Amnon and Hazan, Tamir},
|
|
title = {Non-Negative Tensor Factorization with Applications to Statistics and Computer Vision},
|
|
year = {2005},
|
|
isbn = {1595931805},
|
|
publisher = {Association for Computing Machinery},
|
|
address = {New York, NY, USA},
|
|
doi = {10.1145/1102351.1102451},
|
|
booktitle = {Proceedings of the 22nd International Conference on Machine Learning},
|
|
pages = {792--799},
|
|
numpages = {8},
|
|
location = {Bonn, Germany},
|
|
series = {ICML '05}
|
|
}
|
|
|
|
@article{Soize2008,
|
|
title = {Tensor-valued random fields for meso-scale stochastic model of anisotropic elastic microstructure and probabilistic analysis of representative volume element size},
|
|
author = {C. Soize},
|
|
year = {2008},
|
|
journal = {Probabilistic Engineering Mechanics},
|
|
volume = {23},
|
|
number = {2},
|
|
pages = {307-323},
|
|
note = {5th International Conference on Computational Stochastic Mechanics},
|
|
issn = {0266-8920},
|
|
doi = {10.1016/j.probengmech.2007.12.019},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0266892007000562}
|
|
}
|
|
|
|
@article{SoloveychikTrushin2016,
|
|
title = {Gaussian and robust Kronecker product covariance estimation: Existence and uniqueness},
|
|
author = {I. Soloveychik and D. Trushin},
|
|
year = {2016},
|
|
journal = {Journal of Multivariate Analysis},
|
|
volume = {149},
|
|
pages = {92-113},
|
|
issn = {0047-259X},
|
|
doi = {10.1016/j.jmva.2016.04.001},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0047259X16300070}
|
|
}
|
|
|
|
@misc{SongHero2023,
|
|
title = {On Separability of Covariance in Multiway Data Analysis},
|
|
author = {Dogyoon Song and Alfred O. Hero},
|
|
year = {2023},
|
|
eprint = {2302.02415},
|
|
archivePrefix = {arXiv},
|
|
primaryClass = {math.ST},
|
|
doi = {10.48550/arXiv.2302.02415}
|
|
}
|
|
|
|
@article{SrivastavaEtAt2008,
|
|
title = {Models with a Kronecker product covariance structure: Estimation and testing},
|
|
author = {Srivastava, Muni Shanker and von Rosen, Tatjana and von Rosen, Dietrich},
|
|
year = {2008},
|
|
journal = {Mathematical Methods of Statistics},
|
|
month = {Dec},
|
|
day = {01},
|
|
volume = {17},
|
|
number = {4},
|
|
pages = {357-370},
|
|
issn = {1934-8045},
|
|
doi = {10.3103/S1066530708040066}
|
|
}
|
|
|
|
@book{SrivastavaKhatri1979,
|
|
title = {An introduction to multivariate statistics},
|
|
author = {Srivastava, Muni Shanker and Khatri, Chinubal G.},
|
|
year = {1979},
|
|
publisher = {North Holland},
|
|
isbn = {0444003029},
|
|
language = {eng},
|
|
address = {New York, NY [u.a.]}
|
|
}
|
|
|
|
@article{TsiligkaridisHero2013,
|
|
author = {Tsiligkaridis, Theodoros and Hero, Alfred O.},
|
|
journal = {IEEE Transactions on Signal Processing},
|
|
title = {Covariance Estimation in High Dimensions Via Kronecker Product Expansions},
|
|
year = {2013},
|
|
volume = {61},
|
|
number = {21},
|
|
pages = {5347-5360},
|
|
doi = {10.1109/TSP.2013.2279355}
|
|
}
|
|
|
|
@Inbook{Uschmajew2020,
|
|
author = {Uschmajew, Andr{\'e} and Vandereycken, Bart},
|
|
editor = {Grohs, Philipp and Holler, Martin and Weinmann, Andreas},
|
|
title = {Geometric Methods on Low-Rank Matrix and Tensor Manifolds},
|
|
bookTitle = {Handbook of Variational Methods for Nonlinear Geometric Data},
|
|
year = {2020},
|
|
publisher = {Springer International Publishing},
|
|
address = {Cham},
|
|
pages = {261--313},
|
|
isbn = {978-3-030-31351-7},
|
|
doi = {10.1007/978-3-030-31351-7_9}
|
|
}
|
|
|
|
@book{vanderVaart1998,
|
|
title = {Asymptotic Statistics},
|
|
author = {{van der Vaart}, A.W.},
|
|
series = {Asymptotic Statistics},
|
|
year = {1998},
|
|
publisher = {Cambridge University Press},
|
|
series = {Cambridge Series in Statistical and Probabilistic Mathematics},
|
|
isbn = {0-521-49603-9}
|
|
}
|
|
|
|
@Inbook{VanLoanPitsianis1993,
|
|
author = {Van Loan, C. F. and Pitsianis, N.},
|
|
editor = {Moonen, Marc S. and Golub, Gene H. and De Moor, Bart L. R.},
|
|
title = {Approximation with Kronecker Products},
|
|
bookTitle = {Linear Algebra for Large Scale and Real-Time Applications},
|
|
year = {1993},
|
|
publisher = {Springer Netherlands},
|
|
address = {Dordrecht},
|
|
pages = {293--314},
|
|
isbn = {978-94-015-8196-7},
|
|
doi = {10.1007/978-94-015-8196-7_17}
|
|
}
|
|
|
|
@article{WangEtAt2022,
|
|
author = {Yu Wang and Zeyu Sun and Dogyoon Song and Alfred Hero},
|
|
title = {{Kronecker-structured covariance models for multiway data}},
|
|
volume = {16},
|
|
journal = {Statistics Surveys},
|
|
number = {none},
|
|
publisher = {Amer. Statist. Assoc., the Bernoulli Soc., the Inst. Math. Statist., and the Statist. Soc. Canada},
|
|
pages = {238 -- 270},
|
|
year = {2022},
|
|
doi = {10.1214/22-SS139}
|
|
}
|
|
|
|
# arXiv version: https://doi.org/10.48550/arXiv.1811.05076
|
|
@article{WangLi2020,
|
|
title = {Learning from Binary Multiway Data: Probabilistic Tensor Decomposition and its Statistical Optimality},
|
|
author = {Miaoyan Wang and Lexin Li},
|
|
year = {2020},
|
|
journal = {Journal of Machine Learning Research},
|
|
volume = {21},
|
|
number = {154},
|
|
pages = {1--38}
|
|
}
|
|
|
|
% TODO: check
|
|
@book{Whittaker2009,
|
|
author = {J. Whittaker},
|
|
title = {Graphical Models in Applied Multivariate Statistics},
|
|
publisher = {Wiley},
|
|
year = {2009}
|
|
}
|
|
|
|
@article{ZhangZhou2005,
|
|
title = {(2D)2PCA: Two-directional two-dimensional PCA for efficient face representation and recognition},
|
|
journal = {Neurocomputing},
|
|
volume = {69},
|
|
number = {1},
|
|
pages = {224-231},
|
|
year = {2005},
|
|
note = {Neural Networks in Signal Processing},
|
|
issn = {0925-2312},
|
|
doi = {https://doi.org/10.1016/j.neucom.2005.06.004},
|
|
url = {https://www.sciencedirect.com/science/article/pii/S0925231205001785},
|
|
author = {Daoqiang Zhang and Zhi-Hua Zhou}
|
|
}
|
|
|
|
@article{ZhouLi2014,
|
|
author = {Zhou, Hua and Li, Lexin},
|
|
title = {Regularized matrix regression},
|
|
journal = {Journal of the Royal Statistical Society. Series B (Statistical Methodology)},
|
|
volume = {76},
|
|
number = {2},
|
|
pages = {463--483},
|
|
year = {2014},
|
|
publisher = {[Royal Statistical Society, Wiley]}
|
|
}
|
|
|
|
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
%%% Software, data Sets, ... %%%
|
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
|
|
|
@misc{lichess-database,
|
|
author = {Thibault Duplessis},
|
|
title = {lichess.org open database},
|
|
year = {2013},
|
|
url = {https://database.lichess.org},
|
|
note = {visited on December 8, 2023},
|
|
}
|
|
|
|
@Article{Rdimtools,
|
|
title = {{Rdimtools}: An {R} Package for Dimension Reduction and Intrinsic Dimension Estimation},
|
|
author = {Kisung You and Dennis Shung},
|
|
journal = {Software Impacts},
|
|
year = {2022},
|
|
volume = {14},
|
|
issn = {26659638},
|
|
pages = {100414},
|
|
doi = {10.1016/j.simpa.2022.100414},
|
|
}
|
|
|
|
@mish{schachhoernchen,
|
|
title = {Schach H\"ornchen},
|
|
year = {development since 2021, first release pending},
|
|
author = {Daniel Kapla},
|
|
url = {todo!}
|
|
}
|
|
|
|
@misc{stockfish,
|
|
title = {Stockfish},
|
|
year = {since 2008},
|
|
author = {{The Stockfish developers (see \href{https://github.com/official-stockfish/Stockfish/blob/master/AUTHORS}{AUTHORS} file)}},
|
|
url = {https://stockfishchess.org/},
|
|
abstract = {Stockfish is a free and strong UCI chess engine.},
|
|
}
|