bibliography.bib

% Bibliography of the thesis

@article{aguilera2010using,
  title     = {Using basis expansions for estimating functional PLS regression: applications with chemometric data},
  author    = {Aguilera, Ana M and Escabias, Manuel and Preda, Cristian and Saporta, Gilbert},
  year      = {2010},
  journal   = {Chemometrics and Intelligent Laboratory Systems},
  volume    = {104},
  number    = {2},
  pages     = {289--305},
  publisher = {Elsevier},
}

@article{aguilera2013comparative,
  title     = {Comparative study of different B-spline approaches for functional data},
  author    = {Aguilera, Ana M. and Aguilera-Morillo, M.C.},
  year      = {2013},
  journal   = {Mathematical and Computer Modelling},
  volume    = {58},
  number    = {7-8},
  pages     = {1568--1579},
  publisher = {Elsevier},
}

@article{albert1984existence,
  title     = {On the existence of maximum likelihood estimates in logistic regression models},
  author    = {Albert, Adelin and Anderson, John A},
  year      = {1984},
  journal   = {Biometrika},
  volume    = {71},
  number    = {1},
  pages     = {1--10},
  publisher = {Oxford University Press},
}


@article{baragatti2012study,
  title     = {A study of variable selection using g-prior distribution with ridge parameter},
  author    = {Baragatti, Me{\i}li and Pommeret, Denys},
  year      = {2012},
  journal   = {Computational Statistics and Data Analysis},
  volume    = {56},
  number    = {6},
  pages     = {1920--1934},
  publisher = {Elsevier},
}

@book{berlinet2004reproducing,
  title     = {Reproducing kernel Hilbert spaces in probability and statistics},
  author    = {Berlinet, Alain and Thomas-Agnan, Christine},
  year      = {2004},
  doi       = {https://doi.org/10.1007/978-1-4419-9096-9},
  isbn      = {978-1-4020-7679-4},
  publisher = {Springer},
}

@article{berrendero2023functional,
  title     = {On functional logistic regression: some conceptual issues},
  author    = {Berrendero, Jos\'{e} R and Bueno-Larraz, Beatriz and Cuevas, Antonio},
  year      = {2023},
  journal   = {Test},
  volume    = {32},
  pages     = {321--349},
  publisher = {Springer},
  url       = {https://doi.org/10.1007/s11749-022-00836-9},
}

@article{berrendero2020mahalanobis,
  title   = {On Mahalanobis Distance in Functional Settings.},
  author  = {Berrendero, Jos{\'e} R and Bueno-Larraz, Beatriz and Cuevas, Antonio},
  year    = {2020},
  journal = {Journal of Machine Learning Research},
  volume  = {21},
  number  = {9},
  pages   = {1--33},
}

@article{berrendero2019rkhs,
  title     = {An RKHS model for variable selection in functional linear regression},
  author    = {Berrendero, Jos{\'e} R and Bueno-Larraz, Beatriz and Cuevas, Antonio},
  year      = {2019},
  journal   = {Journal of Multivariate Analysis},
  volume    = {170},
  pages     = {25--45},
  publisher = {Elsevier},
}



@article{berrendero2020general,
  title   = {On a general definition of the functional linear model},
  author  = {Berrendero, Jos{\'e} R and Cholaquidis, Alejandro and Cuevas, Antonio},
  year    = {2020},
  journal = {arXiv preprint arXiv:2011.05441},
}


@article{berrendero2018use,
  title     = {On the use of reproducing kernel Hilbert spaces in functional classification},
  author    = {Berrendero, Jos{\'e} R and Cuevas, Antonio and Torrecilla, Jos{\'e} L},
  year      = {2018},
  journal   = {Journal of the American Statistical Association},
  volume    = {113},
  number    = {523},
  pages     = {1210--1218},
  publisher = {Taylor \& Francis},
}



@article{berrendero2016variable,
  title     = {Variable selection in functional data classification: a maxima-hunting proposal},
  author    = {Berrendero, Jos{\'e} R and Cuevas, Antonio and Torrecilla, Jos{\'e} L},
  year      = {2016},
  journal   = {Statistica Sinica},
  pages     = {619--638},
  publisher = {JSTOR},
}

@book{bishop2006pattern,
  title     = {Pattern recognition and machine learning},
  author    = {Bishop, Christopher M},
  year      = {2006},
  volume    = {4},
  number    = {4},
  publisher = {Springer},
}

@article{blei2017variational,
  title     = {Variational inference: A review for statisticians},
  author    = {Blei, David M and Kucukelbir, Alp and McAuliffe, Jon D},
  year      = {2017},
  journal   = {Journal of the American Statistical Association},
  volume    = {112},
  number    = {518},
  pages     = {859--877},
  publisher = {Taylor \& Francis},
}

@book{bosq2000linear,
  title     = {Linear processes in function spaces: theory and applications},
  author    = {Bosq, Denis},
  year      = {2000},
  volume    = {149},
  publisher = {Springer Science \& Business Media},
}


@article{bro1999exploratory,
  title     = {Exploratory study of sugar production using fluorescence spectroscopy and multi-way analysis},
  author    = {Bro, Rasmus},
  year      = {1999},
  journal   = {Chemometrics and Intelligent Laboratory Systems},
  volume    = {46},
  number    = {2},
  pages     = {133--147},
  publisher = {Elsevier},
}

@book{brooks2011handbook,
  title     = {Handbook of Markov Chain Monte Carlo},
  author    = {Brooks, Steve and Gelman, Andrew and Jones, Galin and Meng, Xiao-Li},
  year      = {2011},
  publisher = {CRC press},
}


@article{bueno2019variable,
  title     = {Variable Selection for the Prediction of C [0, 1]-Valued Autoregressive Processes using Reproducing Kernel Hilbert Spaces},
  author    = {Bueno-Larraz, Beatriz and Klepsch, Johannes},
  year      = {2019},
  journal   = {Technometrics},
  volume    = {61},
  number    = {2},
  pages     = {139--153},
  publisher = {Taylor \& Francis},
}


@incollection{cardot2011functional,
  title     = {Functional Linear Regression},
  booktitle = {The Oxford Handbook of Functional Data Analysis},
  author    = {Cardot, H and Sarda, P},
  year      = {2011},
  pages     = {21--46},
  editor    = {Ferraty, F and Romain, Y},
  publisher = {Oxford University Press},
}

@article{carey1998relationship,
  title     = {Relationship of age patterns of fecundity to mortality, longevity, and lifetime reproduction in a large cohort of Mediterranean fruit fly females},
  author    = {Carey, James R and Liedo, Pablo and M{\"u}ller, Hans-Georg and Wang, Jane-Ling and Chiou, Jeng-Min},
  year      = {1998},
  journal   = {The Journals of Gerontology Series A: Biological Sciences and Medical Sciences},
  volume    = {53},
  number    = {4},
  pages     = {B245--B251},
  publisher = {The Gerontological Society of America},
}

@article{celeux2000computational,
  title     = {Computational and inferential difficulties with mixture posterior distributions},
  author    = {Celeux, Gilles and Hurn, Merrilee and Robert, Christian P},
  year      = {2000},
  journal   = {Journal of the American Statistical Association},
  volume    = {95},
  number    = {451},
  pages     = {957--970},
  publisher = {Taylor \& Francis},
}


@article{chib1995understanding,
  title     = {Understanding the metropolis-hastings algorithm},
  author    = {Chib, Siddhartha and Greenberg, Edward},
  year      = {1995},
  journal   = {The american statistician},
  volume    = {49},
  number    = {4},
  pages     = {327--335},
  publisher = {Taylor \& Francis},
}

@article{cucker2001mathematical,
  title   = {On the mathematical foundations of learning},
  author  = {Cucker, Felipe and Smale, Steve},
  year    = {2001},
  journal = {Bulletin of the American mathematical society},
  volume  = {39},
  number  = {1},
  pages   = {1--49},
}

@book{cucker2007learning,
  title     = {Learning theory: an approximation theory viewpoint},
  author    = {Cucker, Felipe and Zhou, Ding Xuan},
  year      = {2007},
  volume    = {24},
  publisher = {Cambridge University Press},
}


@article{cuevas2014partial,
  title     = {A partial overview of the theory of statistics with functional data},
  author    = {Cuevas, Antonio},
  year      = {2014},
  journal   = {Journal of Statistical Planning and Inference},
  volume    = {147},
  pages     = {1--23},
  publisher = {Elsevier},
}

@article{cuevas2007robust,
  title     = {Robust estimation and classification for functional data via projection-based depth notions},
  author    = {Cuevas, Antonio and Febrero, Manuel and Fraiman, Ricardo},
  year      = {2007},
  journal   = {Computational Statistics},
  volume    = {22},
  number    = {3},
  pages     = {481--496},
  publisher = {Springer},
}

@article{cuevas2004anova,
  title     = {An anova test for functional data},
  author    = {Cuevas, Antonio and Febrero, Manuel and Fraiman, Ricardo},
  year      = {2004},
  journal   = {Computational statistics \& data analysis},
  volume    = {47},
  number    = {1},
  pages     = {111--122},
  publisher = {Elsevier},
}

@article{delaigle2012achieving,
  title     = {Achieving near perfect classification for functional data},
  author    = {Delaigle, Aurore and Hall, Peter},
  year      = {2012},
  journal   = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume    = {74},
  number    = {2},
  pages     = {267--286},
  publisher = {Wiley Online Library},
}



@article{delaigle2012methodology,
  title     = {Methodology and theory for partial least squares applied to functional data},
  author    = {Delaigle, Aurore and Hall, Peter},
  year      = {2012},
  journal   = {The Annals of Statistics},
  volume    = {40},
  number    = {1},
  pages     = {322--352},
  publisher = {Institute of Mathematical Statistics},
}


@article{ferraty2010most,
  title     = {Most-predictive design points for functional data predictors},
  author    = {Ferraty, Fr{\'e}d{\'e}ric and Hall, P and Vieu, Philippe},
  year      = {2010},
  journal   = {Biometrika},
  volume    = {97},
  number    = {4},
  pages     = {807--824},
  publisher = {Oxford University Press},
}

@book{ferraty2006nonparametric,
  title     = {Nonparametric functional data analysis: theory and practice},
  author    = {Ferraty, Fr{\'e}d{\'e}ric and Vieu, Philippe},
  year      = {2006},
  volume    = {76},
  publisher = {Springer},
}

@article{firth1993bias,
  title     = {Bias reduction of maximum likelihood estimates},
  author    = {Firth, David},
  year      = {1993},
  journal   = {Biometrika},
  volume    = {80},
  number    = {1},
  pages     = {27--38},
  publisher = {Oxford University Press},
}

@article{foreman2013emcee,
  title     = {emcee: the MCMC hammer},
  author    = {Foreman-Mackey, Daniel and Hogg, David W and Lang, Dustin and Goodman, Jonathan},
  year      = {2013},
  journal   = {Publications of the Astronomical Society of the Pacific},
  volume    = {125},
  number    = {925},
  pages     = {306},
  publisher = {IOP Publishing},
}


@article{fraiman2001trimmed,
  title     = {Trimmed means for functional data},
  author    = {Fraiman, Ricardo and Muniz, Graciela},
  year      = {2001},
  journal   = {Test},
  volume    = {10},
  number    = {2},
  pages     = {419--440},
  publisher = {Springer},
}


@article{galeano2015mahalanobis,
  title     = {The Mahalanobis distance for functional data with applications to classification},
  author    = {Galeano, Pedro and Joseph, Esdras and Lillo, Rosa E},
  year      = {2015},
  journal   = {Technometrics},
  volume    = {57},
  number    = {2},
  pages     = {281--291},
  publisher = {Taylor \& Francis},
}


@book{gelman2013bayesian,
  title     = {Bayesian Data Analysis},
  author    = {Gelman, Andrew and Carlin, John B and Stern, Hal S and Dunson, David B and Vehtari, Aki and Rubin, Donald B},
  year      = {2013},
  publisher = {Chapman and Hall/CRC},
}


@article{geman1984stochastic,
  title   = {Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images},
  author  = {Geman, Stuart and Geman, Donald},
  year    = {1984},
  journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
  volume  = {PAMI-6},
  number  = {6},
  pages   = {721-741},
  doi     = {10.1109/TPAMI.1984.4767596},
}

@article{ghosh2005maximum,
  title     = {On maximum depth and related classifiers},
  author    = {Ghosh, Anil K and Chaudhuri, Probal},
  year      = {2005},
  journal   = {Scandinavian Journal of Statistics},
  volume    = {32},
  number    = {2},
  pages     = {327--350},
  publisher = {Wiley Online Library},
}

@inproceedings{giraud2005toward,
  title     = {Toward a justification of meta-learning: Is the no free lunch theorem a show-stopper},
  booktitle = {Proceedings of the ICML-2005 Workshop on Meta-learning},
  author    = {Giraud-Carrier, Christophe and Provost, Foster},
  year      = {2005},
  pages     = {12--19},
}



@article{goodman2010ensemble,
  title     = {Ensemble samplers with affine invariance},
  author    = {Goodman, Jonathan and Weare, Jonathan},
  year      = {2010},
  journal   = {Communications in applied mathematics and computational science},
  volume    = {5},
  number    = {1},
  pages     = {65--80},
  publisher = {Mathematical Sciences Publishers},
}


@article{green1995reversible,
  title     = {Reversible jump Markov chain Monte Carlo computation and Bayesian model determination},
  author    = {Green, Peter J},
  year      = {1995},
  journal   = {Biometrika},
  volume    = {82},
  number    = {4},
  pages     = {711--732},
  publisher = {Oxford University Press},
}

@article{hastie1995penalized,
  title     = {Penalized discriminant analysis},
  author    = {Hastie, Trevor and Buja, Andreas and Tibshirani, Robert},
  year      = {1995},
  journal   = {The Annals of Statistics},
  volume    = {23},
  number    = {1},
  pages     = {73--102},
  publisher = {Institute of Mathematical Statistics},
}

@article{hoffman2014no,
  title   = {The No-U-Turn sampler: adaptively setting path lengths in Hamiltonian Monte Carlo.},
  author  = {Hoffman, Matthew D and Gelman, Andrew},
  year    = {2014},
  journal = {Journal of Machine Learning Research},
  volume  = {15},
  number  = {1},
  pages   = {1593--1623},
}

@book{horvath2012inference,
  title     = {Inference for Functional Data with Applications},
  author    = {Horv{\'a}th, L. and Kokoszka, P.},
  year      = {2012},
  isbn      = {9781461436553},
  lccn      = {2012937071},
  publisher = {Springer New York},
  series    = {Springer Series in Statistics},
}


@book{hsing2015theoretical,
  title     = {Theoretical foundations of functional data analysis, with an introduction to linear operators},
  author    = {Hsing, Tailen and Eubank, Randall},
  year      = {2015},
  volume    = {997},
  publisher = {John Wiley \& Sons},
}


@article{james2001functional,
  title     = {Functional linear discriminant analysis for irregularly sampled curves},
  author    = {James, Gareth and Hastie, Trevor},
  year      = {2001},
  journal   = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume    = {63},
  number    = {3},
  pages     = {533--550},
  publisher = {Wiley Online Library},
}

@article{james2009functional,
  title     = {Functional linear regression that’s interpretable},
  author    = {James, Gareth and Wang, Jing and Zhu, Ji},
  year      = {2009},
  journal   = {The Annals of Statistics},
  volume    = {37},
  number    = {5A},
  pages     = {2083--2108},
  publisher = {Institute of Mathematical Statistics},
}


@book{janson1997gaussian,
  title     = {Gaussian Hilbert Spaces},
  author    = {Janson, Svante},
  year      = {1997},
  publisher = {Cambridge University Press},
}

@article{jasra2005markov,
  title     = {Markov chain Monte Carlo methods and the label switching problem in Bayesian mixture modeling},
  author    = {Jasra, Ajay and Holmes, Chris C and Stephens, David A},
  year      = {2005},
  journal   = {Statistical Science},
  volume    = {20},
  number    = {1},
  pages     = {50--67},
  publisher = {Institute of Mathematical Statistics},
}

@incollection{marin2005bayesian,
  title     = {Bayesian Modelling and Inference on Mixtures of Distributions},
  booktitle = {Bayesian Thinking},
  author    = {Jean-Michel Marin and Kerrie Mengersen and Christian P. Robert},
  year      = {2005},
  volume    = {25},
  pages     = {459-507},
  doi       = {https://doi.org/10.1016/S0169-7161(05)25016-2},
  editor    = {D.K. Dey and C.R. Rao},
  issn      = {0169-7161},
  publisher = {Elsevier},
  series    = {Handbook of Statistics},
  url       = {https://www.sciencedirect.com/science/article/pii/S0169716105250162},
}


@article{jeffreys1946invariant,
  title     = {An invariant form for the prior probability in estimation problems},
  author    = {Jeffreys, Harold},
  year      = {1946},
  journal   = {Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  volume    = {186},
  number    = {1007},
  pages     = {453--461},
  publisher = {The Royal Society London},
}


@article{kalivas1997two,
  title     = {Two data sets of near infrared spectra},
  author    = {Kalivas, John H},
  year      = {1997},
  journal   = {Chemometrics and Intelligent Laboratory Systems},
  volume    = {37},
  number    = {2},
  pages     = {255--259},
  publisher = {Elsevier},
}


@article{lopez2009concept,
  title     = {On the concept of depth for functional data},
  author    = {L{\'o}pez-Pintado, Sara and Romo, Juan},
  year      = {2009},
  journal   = {Journal of the American statistical Association},
  volume    = {104},
  number    = {486},
  pages     = {718--734},
  publisher = {Taylor \& Francis},
}


@article{jaewook2015metamodel,
  title   = {Metamodel for Efficient Estimation of Capacity-Fade Uncertainty in Li-Ion Batteries for Electric Vehicles},
  author  = {Lee, Jaewook and Sung, Woosuk and Choi, Joo-Ho},
  year    = {2015},
  journal = {Energies},
  volume  = {8},
  pages   = {5538-5554},
  doi     = {10.3390/en8065538},
  month   = {06},
}


@article{lian2016posterior,
  title     = {Posterior convergence for Bayesian functional linear regression},
  author    = {Lian, Heng and Choi, Taeryon and Meng, Jie and Jo, Seongil},
  year      = {2016},
  journal   = {Journal of Multivariate Analysis},
  volume    = {150},
  pages     = {27--41},
  publisher = {Elsevier},
}


@incollection{loeve1948fonctions,
  title     = {Fonctions aléatoires du second ordre},
  booktitle = {Processus stochastiques et mouvement Brownien (P. Lévy)},
  author    = {Lo{\`e}ve, M.},
  year      = {1948},
  pages     = {299--352},
  address   = {Paris},
  publisher = {Gauthier-Villars},
}

@article{lukic2001stochastic,
  title   = {Stochastic processes with sample paths in reproducing kernel Hilbert spaces},
  author  = {Luki{\'c}, Milan and Beder, Jay},
  year    = {2001},
  journal = {Transactions of the American Mathematical Society},
  volume  = {353},
  number  = {10},
  pages   = {3945--3969},
}



@article{muller2005generalized,
  title     = {Generalized functional linear models},
  author    = {M{\"u}ller, Hans-Georg and Stadtm{\"u}ller, Ulrich},
  year      = {2005},
  journal   = {The Annals of Statistics},
  volume    = {33},
  number    = {2},
  pages     = {774--805},
  publisher = {Institute of Mathematical Statistics},
}



@article{ma2021functional,
  title   = {Functional variational inference based on stochastic process generators},
  author  = {Ma, Chao and Hern{\'a}ndez-Lobato, Jos{\'e} Miguel},
  year    = {2021},
  journal = {Advances in Neural Information Processing Systems},
  volume  = {34},
  pages   = {21795--21807},
}

@inproceedings{ma2019variational,
  title        = {Variational implicit processes},
  booktitle    = {International Conference on Machine Learning},
  author       = {Ma, Chao and Li, Yingzhen and Hern{\'a}ndez-Lobato, Jos{\'e} Miguel},
  year         = {2019},
  pages        = {4222--4233},
  organization = {PMLR},
}

@article{mercer1909functions,
  title   = {Functions of positive and negative type, and their connection the theory of integral equations},
  author  = {Mercer, James},
  year    = {1909},
  journal = {Philosophical Transactions of the Royal Society A},
  volume  = {209},
  pages   = {415--446},
  doi     = {Philosophical Transactions of the Royal Society A},
  issue   = {441--458},
}

@article{metropolis1953equation,
  title     = {Equation of state calculations by fast computing machines},
  author    = {Metropolis, Nicholas and Rosenbluth, Arianna W and Rosenbluth, Marshall N and Teller, Augusta H and Teller, Edward},
  year      = {1953},
  journal   = {The Journal of Chemical Physics},
  volume    = {21},
  number    = {6},
  pages     = {1087--1092},
  publisher = {American Institute of Physics},
}

@book{murphy2012machine,
  title     = {Machine learning: a probabilistic perspective},
  author    = {Murphy, Kevin P},
  year      = {2012},
  publisher = {MIT press},
}


@incollection{neal2011mcmc,
  title     = {MCMC using Hamiltonian dynamics},
  booktitle = {Handbook of Markov Chain Monte Carlo (S. Brooks, A. Gelman, G. Jones and X.-L. Meng)},
  author    = {Neal, Radford M},
  year      = {2011},
  publisher = {Chapman and Hall/CRC},
}


@article{ortega2022deep,
  title   = {Deep Variational Implicit Processes},
  author  = {Ortega, Luis A and Santana, Sim{\'o}n Rodr{\'\i}guez and Hern{\'a}ndez-Lobato, Daniel},
  year    = {2022},
  journal = {arXiv preprint arXiv:2206.06720},
}


@article{papastamoulis2015label,
  title   = {label. switching: An R package for dealing with the label switching problem in MCMC outputs},
  author  = {Papastamoulis, Panagiotis},
  year    = {2015},
  journal = {arXiv preprint arXiv:1503.02271},
}


@article{parzen1961approach,
  title     = {An approach to time series analysis},
  author    = {Parzen, Emanuel},
  year      = {1961},
  journal   = {The Annals of Mathematical Statistics},
  volume    = {32},
  number    = {4},
  pages     = {951--989},
  publisher = {Institute of Mathematical Statistics},
}



@article{grollemund2019bayesian,
  title     = {{Bayesian Functional Linear Regression with Sparse Step Functions}},
  author    = {Paul-Marie Grollemund and Christophe Abraham and Meïli Baragatti and Pierre Pudlo},
  year      = {2019},
  journal   = {Bayesian Analysis},
  volume    = {14},
  number    = {1},
  pages     = {111 -- 135},
  doi       = {10.1214/18-BA1095},
  keywords  = {Bayesian regression, functional data, parsimony, support estimate},
  publisher = {International Society for Bayesian Analysis},
}

@article{piironen2017comparison,
  title     = {Comparison of Bayesian predictive methods for model selection},
  author    = {Piironen, Juho and Vehtari, Aki},
  year      = {2017},
  journal   = {Statistics and Computing},
  volume    = {27},
  number    = {3},
  pages     = {711--735},
  publisher = {Springer},
}



@article{pillai2007characterizing,
  title   = {Characterizing the Function Space for Bayesian Kernel Models.},
  author  = {Pillai, Natesh S and Wu, Qiang and Liang, Feng and Mukherjee, Sayan and Wolpert, Robert L},
  year    = {2007},
  journal = {Journal of Machine Learning Research},
  volume  = {8},
  number  = {8},
}

@article{poss2020superconsistent,
  title     = {Superconsistent estimation of points of impact in non-parametric regression with functional predictors},
  author    = {Po{\ss}, Dominik and Liebl, Dominik and Kneip, Alois and Eisenbarth, Hedwig and Wager, Tor D and Barrett, Lisa Feldman},
  year      = {2020},
  journal   = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  volume    = {82},
  number    = {4},
  pages     = {1115--1140},
  publisher = {Wiley Online Library},
}

@article{preda2007pls,
  title     = {PLS classification of functional data},
  author    = {Preda, Cristian and Saporta, Gilbert and L{\'e}v{\'e}der, Caroline},
  year      = {2007},
  journal   = {Computational Statistics},
  volume    = {22},
  number    = {2},
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