bibliography.bib

@book{klenke2013probability,
    title={Probability theory: a comprehensive course},
    author={Klenke, Achim},
    year={2013},
    publisher={Springer Science \& Business Media}
}

@book{tao2011introduction,
    title={An introduction to measure theory},
    author={Tao, Terence},
    year={2011},
    publisher={American Mathematical Society Providence, RI}
}

@article{goldberger2000physiobank,
    title={PhysioBank, PhysioToolkit, and PhysioNet: components of a new research resource for complex physiologic signals},
    author={Goldberger, Ary L and Amaral, Luis AN and Glass, Leon and Hausdorff, Jeffrey M and Ivanov, Plamen Ch and Mark, Roger G and Mietus, Joseph E and Moody, George B and Peng, Chung-Kang and Stanley, H Eugene},
    journal={Circulation},
    volume={101},
    number={23},
    pages={e215--e220},
    year={2000},
    publisher={Am Heart Assoc}
}

@article{schalk2004bci2000,
    title={BCI2000: a general-purpose brain-computer interface (BCI) system},
    author={Schalk, Gerwin and McFarland, Dennis J and Hinterberger, Thilo and Birbaumer, Niels and Wolpaw, Jonathan R},
    journal={IEEE Transactions on biomedical engineering},
    volume={51},
    number={6},
    pages={1034--1043},
    year={2004},
    publisher={IEEE}
}

@misc{Dua:2019,
    author="Dua, Dheeru and Graff, Casey",
    year="2017",
    title="{UCI} Machine Learning Repository",
    url="http://archive.ics.uci.edu/ml",
    institution="University of California, Irvine, School of Information and Computer Sciences"
}

@article{chattopadhyay2014data,
    title={Data smashing: uncovering lurking order in data},
    author={Chattopadhyay, Ishanu and Lipson, Hod},
    journal={Journal of The Royal Society Interface},
    volume={11},
    number={101},
    pages={20140826},
    year={2014},
    publisher={The Royal Society}
}

@article{chattopadhyay2013abductive,
    title={Abductive learning of quantized stochastic processes with probabilistic finite automata},
    author={Chattopadhyay, Ishanu and Lipson, Hod},
    journal={Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
    volume={371},
    number={1984},
    pages={20110543},
    year={2013},
    publisher={The Royal Society Publishing}
}

@article{chattopadhyay2014causality,
    title={Causality networks},
    author={Chattopadhyay, Ishanu},
    journal={arXiv preprint arXiv:1406.6651},
    year={2014}
}

@book{peebles2001probability,
    title={Probability, random variables, and random signal principles},
    author={Peebles, Peyton Z},
    volume={3},
    year={2001},
    publisher={McGraw-Hill New York, NY, USA:}
}

@article{crutchfield1994calculi,
    title={The calculi of emergence: computation, dynamics and induction},
    author={Crutchfield, James P},
    journal={Physica D: Nonlinear Phenomena},
    volume={75},
    number={1-3},
    pages={11--54},
    year={1994},
    publisher={Elsevier}
}

@article{chattopadhyay2008structural,
    title={Structural transformations of probabilistic finite state machines},
    author={Chattopadhyay, Ishanu and Ray, Asok},
    journal={International Journal of Control},
    volume={81},
    number={5},
    pages={820--835},
    year={2008},
    publisher={Taylor \& Francis}
}

@book{gagniuc2017markov,
    title={Markov chains: from theory to implementation and experimentation},
    author={Gagniuc, Paul A},
    year={2017},
    publisher={John Wiley \& Sons}
}

@article{bondy2008graph,
    title={Graph theory (2008)},
    author={Bondy, JA and Murty, USR},
    journal={Grad. Texts in Math},
    year={2008}
}

@book{yan1998introductionMachineComputation,
    title={An introduction to formal languages and machine computation},
    author={Yan, Song Y},
    year={1998},
    publisher={World Scientific}
}

@article{stamp2004revealing,
    title={A revealing introduction to hidden Markov models},
    author={Stamp, Mark},
    journal={Department of Computer Science San Jose State University},
    pages={26--56},
    year={2004}
}

@book{kai1967markov_StDis,
    title={Markov Chains: With Stationary Transition Probabilities},
    author={Kai, Lai Chung},
    year={1967},
    publisher={Springer-Verlag}
}

@book{cover2012elements,
    title={Elements of information theory},
    author={Cover, Thomas M and Thomas, Joy A},
    year={2012},
    publisher={John Wiley \& Sons}
}

@article{matthews2016sparse,
    title={On sparse variational methods and the Kullback-Leibler divergence between stochastic processes},
    author={Matthews, Alexander G de G and Hensman, James and Turner, Richard and Ghahramani, Zoubin},
    journal={Journal of Machine Learning Research},
    volume={51},
    pages={231--239},
    year={2016}
}

@book{ray2012graph,
    title={Graph theory with algorithms and its applications: in applied science and technology},
    author={Ray, Santanu Saha},
    year={2012},
    publisher={Springer Science \& Business Media}
}

@book{doob1990stochastic,
    title={Stochastic processes},
    author={Doob, J.L.},
    lccn={52011857},
    series={Wiley publications in statistics},
    url={https://books.google.com/books?id=7Bu8jgEACAAJ},
    year={1990},
    publisher={Wiley}
}

@article{dupont2005links,
    title={Links between probabilistic automata and hidden Markov models: probability distributions, learning models and induction algorithms},
    author={Dupont, Pierre and Denis, Fran{\c{c}}ois and Esposito, Yann},
    journal={Pattern recognition},
    volume={38},
    number={9},
    pages={1349--1371},
    year={2005},
    publisher={Elsevier}
}

@article{petitjean2011global,
    title={A global averaging method for dynamic time warping, with applications to clustering},
    author={Petitjean, Fran{\c{c}}ois and Ketterlin, Alain and Gan{\c{c}}arski, Pierre},
    journal={Pattern Recognition},
    volume={44},
    number={3},
    pages={678--693},
    year={2011},
    publisher={Elsevier}
}

@inproceedings{lin2003symbolic,
    title={A symbolic representation of time series, with implications for streaming algorithms},
    author={Lin, Jessica and Keogh, Eamonn and Lonardi, Stefano and Chiu, Bill},
    booktitle={Proceedings of the 8th ACM SIGMOD workshop on Research issues in data mining and knowledge discovery},
    pages={2--11},
    year={2003},
    organization={ACM}
}

@inproceedings{moller2003fuzzy,
    title={Fuzzy clustering of short time-series and unevenly distributed sampling points},
    author={M{\"o}ller-Levet, Carla S and Klawonn, Frank and Cho, Kwang-Hyun and Wolkenhauer, Olaf},
    booktitle={International Symposium on Intelligent Data Analysis},
    pages={330--340},
    year={2003},
    organization={Springer}
}

@inproceedings{chen2005robust,
    title={Robust and fast similarity search for moving object trajectories},
    author={Chen, Lei and {\"O}zsu, M Tamer and Oria, Vincent},
    booktitle={Proceedings of the 2005 ACM SIGMOD international conference on Management of data},
    pages={491--502},
    year={2005},
    organization={ACM}
}

@article{navarro2001guided,
    title={A guided tour to approximate string matching},
    author={Navarro, Gonzalo},
    journal={ACM computing surveys (CSUR)},
    volume={33},
    number={1},
    pages={31--88},
    year={2001},
    publisher={ACM}
}

@article{kingma2013auto,
    title={Auto-encoding variational bayes},
    author={Kingma, Diederik P and Welling, Max},
    journal={arXiv preprint arXiv:1312.6114},
    year={2013}
}

@article{rezende2014stochastic,
    title={Stochastic backpropagation and approximate inference in deep generative models},
    author={Rezende, Danilo Jimenez and Mohamed, Shakir and Wierstra, Daan},
    journal={arXiv preprint arXiv:1401.4082},
    year={2014}
}

@book{ching2006markov,
    title={Markov Chains: Models, Algorithms and Applications},
    author={Ching, W.K. and Ng, M.K.},
    isbn={9780387293370},
    lccn={2005933263},
    series={International Series in Operations Research \& Management Science},
    url={https://books.google.com/books?id=IjMLAFZKBzYC},
    year={2006},
    publisher={Springer US}
}

@article{jacquet2008entropy,
    title={On the entropy of a hidden Markov process},
    author={Jacquet, Philippe and Seroussi, Gadiel and Szpankowski, Wojciech},
    journal={Theoretical computer science},
    volume={395},
    number={2-3},
    pages={203--219},
    year={2008},
    publisher={Elsevier}
}

@inproceedings{salvador2004fastdtw,
    added-at={2015-11-25T17:38:49.000+0100},
    author={Salvador, Stan and Chan, Philip},
    biburl={https://www.bibsonomy.org/bibtex/227e16fbda46c4c8f6c173eea70c1ddab/s330790},
    booktitle={KDD workshop on mining temporal and sequential data},
    interhash={13ef33c1cca4e48a7327762d9d05e9fd},
    intrahash={27e16fbda46c4c8f6c173eea70c1ddab},
    keywords={final imported},
    organization={Citeseer},
    timestamp={2015-12-11T21:36:11.000+0100},
    title={FastDTW: Toward accurate dynamic time warping in linear time and space},
    year=2004
}