Initial paper skeleton

Author: briandesilva

docs/JOSS/paper.bib

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+@article{brunton2016pnas,
+  title = {Discovering governing equations from data by sparse identification of nonlinear dynamical systems},
+  author = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
+  journal = {Proceedings of the National Academy of Sciences},
+  volume = {113},
+  number = {15},
+  pages = {3932--3937},
+  year = {2016},
+  publisher = {National Academy of Sciences},
+  doi = {10.1073/pnas.1517384113}
+}
+
+@article{zheng2018ieee,
+  title = {A unified framework for sparse relaxed regularized regression: SR3},
+  author = {Zheng, Peng and Askham, Travis and Brunton, Steven L. and Kutz, J. Nathan and Aravkin, Aleksandr Y.},
+  journal = {IEEE Access},
+  volume = {7},
+  pages = {1404--1423},
+  year = {2018},
+  publisher = {IEEE},
+  doi = {10.1109/access.2018.2886528}
+}
+
+@article{champion2019,
+  title = {A unified sparse optimization framework to learn parsimonious physics-informed models from data},
+  author = {Champion, Kathleen and Zheng, Peng and Aravkin, Aleksandr Y. and Brunton, Steven L. and Kutz, J. Nathan},
+  journal = {arXiv preprint arXiv:1906.10612},
+  year = {2019}
+}
+
+@article {Schmidt81,
+  author = {Schmidt, Michael and Lipson, Hod},
+  title = {Distilling Free-Form Natural Laws from Experimental Data},
+  volume = {324},
+  number = {5923},
+  pages = {81--85},
+  year = {2009},
+  publisher = {American Association for the Advancement of Science},
+  issn = {0036-8075},
+  journal = {Science},
+  doi = {10.1126/science.1165893}
+}
+
+@article{PhysRevMaterials.2.083802,
+  title = {SISSO: A compressed-sensing method for identifying the best low-dimensional descriptor in an immensity of offered candidates},
+  author = {Ouyang, Runhai and Curtarolo, Stefano and Ahmetcik, Emre and Scheffler, Matthias and Ghiringhelli, Luca M.},
+  journal = {Physical Review Materials},
+  volume = {2},
+  issue = {8},
+  pages = {083802},
+  numpages = {11},
+  year = {2018},
+  publisher = {American Physical Society},
+  doi = {10.1103/physrevmaterials.2.083802}
+}
+
+@article{10.2307/2346178,
+ ISSN = {00359246},
+ author = {Robert Tibshirani},
+ journal = {Journal of the Royal Statistical Society. Series B (Methodological)},
+ number = {1},
+ pages = {267--288},
+ publisher = {Royal Statistical Society, Wiley},
+ title = {Regression Shrinkage and Selection via the Lasso},
+ volume = {58},
+ year = {1996},
+ doi = {10.1111/j.2517-6161.1996.tb02080.x}
+}
+
+@misc{markus_quade_sparsereg,
+  author       = {Markus Quade},
+  title        = {sparsereg - collection of modern sparse regression algorithms},
+  month        = feb,
+  year         = 2018,
+  doi          = {10.5281/zenodo.1173754},
+  url          = {https://github.com/ohjeah/sparsereg}
+}
+
+@article{Sorokina2016oe,
+  Author = {Sorokina, Mariia and Sygletos, Stylianos and Turitsyn, Sergei},
+  Journal = {Optics express},
+  Number = {26},
+  Pages = {30433--30443},
+  Publisher = {Optical Society of America},
+  Title = {Sparse identification for nonlinear optical communication systems: {SINO} method},
+  Volume = {24},
+  Year = {2016},
+  doi = {10.1364/oe.24.030433}
+}
+
+@article{Hoffmann2018,
+  Author = {Hoffmann, Moritz and Fr{\"o}hner, Christoph and No{\'e}, Frank},
+  Journal = {Journal of Chemical Physics},
+  Number = {025101},
+  Title = {Reactive {SINDy}: Discovering governing reactions from concentration data},
+  Volume = {150},
+  Year = {2019},
+  doi = {10.1063/1.5066099}
+}
+
+@article{Dam2017pf,
+  Author = {Dam, Magnus and Br{\o}ns, Morten and Juul Rasmussen, Jens and Naulin, Volker and Hesthaven, Jan S.},
+  Journal = {Physics of Plasmas},
+  Number = {2},
+  Pages = {022310},
+  Publisher = {AIP Publishing},
+  Title = {Sparse identification of a predator-prey system from simulation data of a convection model},
+  Volume = {24},
+  Year = {2017},
+  doi = {10.1063/1.4977057}
+}
+
+@article{lai2019sparse,
+  Author = {Lai, Zhilu and Nagarajaiah, Satish},
+  Journal = {Mechanical Systems and Signal Processing},
+  Pages = {813--842},
+  Publisher = {Elsevier},
+  Title = {Sparse structural system identification method for nonlinear dynamic systems with hysteresis/inelastic behavior},
+  Volume = {117},
+  Year = {2019},
+  doi = {10.1016/j.ymssp.2018.08.033}
+}
+
+@article{Rudy2017sciadv,
+  Author = {Rudy, Samuel H and Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
+  Journal = {Science Advances},
+  Number = {e1602614},
+  Title = {Data-driven discovery of partial differential equations},
+  Volume = {3},
+  Year = {2017},
+  doi = {10.1126/sciadv.1602614}
+}
+
+@inproceedings{Schaeffer2017prsa,
+  Author = {Schaeffer, Hayden},
+  Booktitle = {Proceedings of the Royal Society A},
+  Number = {2197},
+  Organization = {The Royal Society},
+  Pages = {20160446},
+  Title = {Learning partial differential equations via data discovery and sparse optimization},
+  Volume = {473},
+  Year = {2017},
+  doi = {10.1098/rspa.2016.0446}
+}
+
+@article{tran2017exact,
+  title = {Exact recovery of chaotic systems from highly corrupted data},
+  author = {Tran, Giang and Ward, Rachel},
+  journal = {Multiscale Modeling \& Simulation},
+  volume = {15},
+  number = {3},
+  pages = {1108--1129},
+  year = {2017},
+  publisher = {SIAM},
+  doi = {10.1137/16m1086637}
+}
+
+@article{schaeffer2018extracting,
+  Author = {Schaeffer, Hayden and Tran, Giang and Ward, Rachel},
+  Journal = {SIAM Journal on Applied Mathematics},
+  Number = {6},
+  Pages = {3279--3295},
+  Publisher = {SIAM},
+  Title = {Extracting sparse high-dimensional dynamics from limited data},
+  Volume = {78},
+  Year = {2018},
+  doi = {10.1137/18m116798x}
+}
+
+@article{Loiseau2017jfm,
+  Author = {Loiseau, J.-C. and Brunton, Steven L.},
+  Journal = {Journal of Fluid Mechanics},
+  Pages = {42-67},
+  Title = {Constrained Sparse {Galerkin} Regression},
+  Volume = {838},
+  Year = {2018},
+  doi = {10.1017/jfm.2017.823}
+}
+
+@article{boninsegna2018sparse,
+  title = {Sparse learning of stochastic dynamical equations},
+  author = {Boninsegna, Lorenzo and N{\"u}ske, Feliks and Clementi, Cecilia},
+  journal = {The Journal of chemical physics},
+  volume = {148},
+  number = {24},
+  pages = {241723},
+  year = {2018},
+  publisher = {AIP Publishing LLC},
+  doi = {10.1063/1.5018409}
+}
+
+@article{brunton2016SINDYc,
+  title = {Sparse identification of nonlinear dynamics with control (SINDYc)},
+  author = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
+  journal = {IFAC-PapersOnLine},
+  volume = {49},
+  number = {18},
+  pages = {710--715},
+  year = {2016},
+  publisher = {Elsevier},
+  doi = {10.1016/j.ifacol.2016.10.249}
+}
+
+@article{Schaeffer2017pre,
+  Author = {Schaeffer, Hayden and McCalla, Scott G},
+  Journal = {Physical Review E},
+  Number = {2},
+  Pages = {023302},
+  Publisher = {APS},
+  Title = {Sparse model selection via integral terms},
+  Volume = {96},
+  Year = {2017},
+  doi = {10.1103/physreve.96.023302}
+}
+
+@article{Raissi2019jcp,
+  Author = {Raissi, M and Perdikaris, P and Karniadakis, GE},
+  Journal = {Journal of Computational Physics},
+  Pages = {686--707},
+  Publisher = {Elsevier},
+  Title = {Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
+  Volume = {378},
+  Year = {2019},
+  doi = {10.1016/j.jcp.2018.10.045}
+}
+
+@article{Kaiser2018prsa,
+  Author = {Kaiser, Eurika and Kutz, J Nathan and Brunton, Steven L},
+  Journal = {Proceedings of the Royal Society of London A},
+  Number = {2219},
+  Title = {Sparse identification of nonlinear dynamics for model predictive control in the low-data limit},
+  Volume = {474},
+  Year = {2018},
+  doi = {10.1098/rspa.2018.0335}
+}
+
+@article{Thaler2019jcp,
+  Author = {Thaler, Stephan and Paehler, Ludger and Adams, Nikolaus A},
+  Journal = {Journal of Computational Physics},
+  Pages = {108851},
+  Publisher = {Elsevier},
+  Title = {Sparse identification of truncation errors},
+  Volume = {397},
+  Year = {2019},
+  doi = {10.1016/j.jcp.2019.07.049}
+}
+
+@article{Loiseau2019data,
+  Author = {Loiseau, Jean-Christophe},
+  Journal = {arXiv preprint arXiv:1911.07920},
+  Title = {Data-driven modeling of the chaotic thermal convection in an annular thermosyphon},
+  Year = {2019}
+}
+
+@article{Reinbold2020pre,
+  Author = {Reinbold, Patrick AK and Gurevich, Daniel R and Grigoriev, Roman O},
+  Journal = {Physical Review E},
+  Number = {1},
+  Pages = {010203},
+  Publisher = {APS},
+  Title = {Using noisy or incomplete data to discover models of spatiotemporal dynamics},
+  Volume = {101},
+  Year = {2020},
+  doi = {10.1103/physreve.101.010203}
+}
+
+@article{Gelss2019mindy,
+  Author = {Gel{\ss}, Patrick and Klus, Stefan and Eisert, Jens and Sch{\"u}tte, Christof},
+  Journal = {Journal of Computational and Nonlinear Dynamics},
+  Number = {6},
+  Publisher = {American Society of Mechanical Engineers Digital Collection},
+  Title = {Multidimensional approximation of nonlinear dynamical systems},
+  Volume = {14},
+  Year = {2019},
+  doi = {10.1115/1.4043148}
+}