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refs.bib
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@book{Bishop:PRML,
author = "Bishop, Christopher M.",
title = "Pattern Recognition and Machine Learning",
year = "2006",
publisher = "Springer",
}
@misc{Svensen:PRML_errata,
author = "Svens\'en, Markus and Bishop, Christopher M.",
title = "{Pattern Recognition and Machine Learning}: Errata and Additional Comments",
year = "2011",
howpublished = "\url{https://www.microsoft.com/en-us/research/people/cmbishop/\#prml-book}",
}
@misc{Svensen:PRML_web_solution,
author = "Svens\'en, Markus and Bishop, Christopher M.",
title = "{Pattern Recognition and Machine Learning}: Solutions to the Exercises (Web Edition)",
year = "2009",
howpublished = "\url{https://www.microsoft.com/en-us/research/people/cmbishop/\#prml-book}",
}
@book{Press:NR,
author = "Press, William M. and Teukolsky, Saul A. and Vetterling, William T. and
Flannery, Brian P.",
edition = "Second",
title = "Numerical Recipes in {C}: The Art of Scientific Computing",
year = "1992",
publisher = "Cambridge University Press",
}
@book{GvL:MC,
author = "Golub, Gene H. and Van Loan, Charles F.",
edition = "Fourth",
title = "Matrix Computations",
year = "2013",
publisher = "The Johns Hopkins University Press",
}
@misc{Minka:OldNewMatrixAlgebra,
author = "Minka, Thomas P.",
title = "Old and New Matrix Algebra Useful for Statistics",
year = "2000",
howpublished = "\url{https://tminka.github.io/papers/matrix/}",
}
@article{HornSchunck:OpticalFlow,
author = "Horn, Berthold K. P. and Schunck, Brian G.",
title = "Determining Optical Flow",
journal = "Artificial Intelligence",
year = "1981",
volume = "17",
number = "1",
pages = "185--203",
}
@book{Feynman:FeynmanLectures2,
author = "Feynman, Richard P. and Leighton, Robert B. and Sands, Matthew",
title = "The {Feynman} Lectures on Physics",
year = "1964",
volume = "2",
publisher = "Addison-Wesley",
}
@book{Briggs:MultigridTutorial,
author = "Briggs, William L. and Henson, Van Emden and McCormick, Steve F.",
edition = "Second",
title = "A Multigrid Tutorial",
year = "2000",
publisher = "SIAM",
}
@book{MacKay:Information,
author = "MacKay, David J. C.",
title = "Information Theory, Inference, and Learning Algorithms",
year = "2003",
publisher = "Cambridge University Press",
}
@book{NIST:DLMF,
editor = "Frank W. J. Olver and Adri B. {Olde Daalhuis} and Daniel W. Lozier and
Barry I. Schneider and Ronald F. Boisvert and Charles W. Clark and
Bruce R. Miller and Bonita V. Saunders",
title = "{NIST} Digital Library of Mathematical Functions",
year = "2018",
publisher = "National Institute of Standards and Technology, U.S.~Department of Commerce",
note = "\url{http://dlmf.nist.gov/} (Release~1.0.18 of 2018-03-27)",
}
@article{Anderson:MaximumLikelihood,
author = "T. W. Anderson and I. Olkin",
title = "Maximum-Likelihood Estimation of the Parameters of a Multivariate Normal Distribution",
journal = "Linear Algebra and Its Applications",
volume = "70",
pages = "147--171",
year = "1985",
}
@book{Murphy:MachineLearning,
author = "Murphy, Kevin P.",
title = "Machine Learning: A Probabilistic Perspective",
year = "2012",
publisher = "MIT Press",
}
@article{Svensen:RobustMixture,
author = "Svens\'en, Markus and Bishop, Christopher M.",
title = "Robust {Bayesian} Mixture Modelling",
journal = "Neurocomputing",
year = "2005",
volume = "64",
pages = "235--252"
}
@book{AS:Handbook,
editor = "Abramowitz, Milton and Stegun, Irene A.",
title = "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables",
year = "1964",
publisher = "National Bureau of Standards, U.S.~Department of Commerce",
}
@book{Szeliski:ComputerVision,
author = "Szeliski, Richard",
title = "Computer Vision: Algorithms and Applications",
year = "2010",
publisher = "Springer",
}
@book{MagnusNeudecker:MDC,
author = "Magnus, Jan R. and Neudecker, Heinz",
title = "Matrix Differential Calculus with Applications in Statistics and Econometrics",
edition = "Third",
year = "2007",
publisher = "Wiley",
note = "\url{http://www.janmagnus.nl/misc/mdc2007-3rdedition}",
}
@book{Anderson:Multivariate,
author = "Anderson, T. W.",
title = "An Introduction to Multivariate Statistical Analysis",
edition = "Third",
year = "2003",
publisher = "Wiley",
}
@article{KullbackLeibler:Information,
author = "Kullback, S. and Leibler, R. A.",
title = "On Information and Sufficiency",
journal = "The Annals of Mathematical Statistics",
year = "1951",
volume = "22",
number = "1",
pages = "79--86",
}
@inproceedings{Tipping:fast,
author = "Tipping, Michael E. and Faul, Anita C.",
title = "Fast marginal likelihood maximisation for sparse {Bayesian} models",
year = "2003",
editor = "C. M. Bishop and B. J. Frey",
booktitle = "Proceedings of the Ninth International Workshop on Artificial Intelligence and
Statistics",
address = "Key West, Florida",
}
@article{Mermin:what,
title = "What's wrong with these equations?",
author = "Mermin, N. David",
journal = "Physics Today",
volume = "42",
number = "10",
pages = "9--11",
year = "1989",
}
@inproceedings{Minka:EP,
author = "Minka, Thomas P.",
title = "Expectation Propagation for Approximate Bayesian Inference",
year = "2001",
editor = "John Breese and Daphne Koller",
booktitle = "Proceedings of the Seventeenth International Conference on
Artificial Intelligence",
publisher = "Morgan Kaufmann",
pages = "362--369",
note = "\url{https://tminka.github.io/papers/ep/}",
}
@article{Watanabe:WAIC,
author = "Watanabe, Sumio",
title = "Asymptotic Equivalence of {Bayes} Cross Validation and
Widely Applicable Information Criterion in Singular Learning Theory",
journal = "Journal of Machine Learning Research",
volume = " 11",
pages = "3571--3594",
year = "2010",
}
@article{Watanabe:WBIC,
author = "Watanabe, Sumio",
title = "A Widely Applicable {Bayesian} Information Criterion",
journal = "Journal of Machine Learning Research",
volume = "14",
pages = "867--897",
year = "2013",
}
@book{Watanabe:BayesStatistics,
author = "Watanabe, Sumio",
title = "Theory and Method of {Bayes} Statistics",
year = "2012",
publisher = "Corona Publishing Co., Ltd.",
note = "(in Japanese)",
}
@techreport{Minka:DivergenceMeasures,
author = "Minka, Thomas",
title = "Divergence Measures and Message Passing",
year = "2005",
institution = "Microsoft Research",
number = "MSR-TR-2005-173",
note = "\url{https://www.microsoft.com/en-us/research/publication/divergence-measures-and-message-passing/}",
}
@techreport{Zhu:InformationGeometric,
author = "Zhu, Huaiyu and Rohwer, Richard",
title = "Information Geometric Measurements of Generalisation",
year = "1995",
institution = "Aston University",
number = "NCRG/4350",
note = "\url{http://publications.aston.ac.uk/507/}",
}
@book{Tao:MeasureTheory,
author = "Tao, Terence",
title = "An Introduction to Measure Theory",
year = "2011",
publisher = "American Mathematical Society",
}
@book{Feller:ProbabilityTheory2,
author = "Feller, William",
title = "An Introduction to Probability Theory and Its Applications",
edition = "Second",
year = "1971",
volume = "2",
publisher = "Wiley",
}