Learning partial differential equations via data discovery and sparse optimization H Schaeffer Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 493 | 2017 |

Sparse model selection via integral terms H Schaeffer, SG McCalla Physical Review E 96 (2), 023302, 2017 | 204 | 2017 |

Sparse dynamics for partial differential equations H Schaeffer, R Caflisch, CD Hauck, S Osher Proceedings of the National Academy of Sciences 110 (17), 6634-6639, 2013 | 204 | 2013 |

Extracting sparse high-dimensional dynamics from limited data H Schaeffer, G Tran, R Ward SIAM Journal on Applied Mathematics 78 (6), 3279-3295, 2018 | 185 | 2018 |

On the convergence of the SINDy algorithm L Zhang, H Schaeffer Multiscale Modeling & Simulation 17 (3), 948-972, 2019 | 180 | 2019 |

A low patch-rank interpretation of texture H Schaeffer, S Osher SIAM Journal on Imaging Sciences 6 (1), 226-262, 2013 | 148 | 2013 |

Neupde: Neural network based ordinary and partial differential equations for modeling time-dependent data Y Sun, L Zhang, H Schaeffer Mathematical and Scientific Machine Learning, 352-372, 2020 | 104 | 2020 |

Extracting structured dynamical systems using sparse optimization with very few samples H Schaeffer, G Tran, R Ward, L Zhang Multiscale Modeling & Simulation 18 (4), 1435-1461, 2020 | 62 | 2020 |

On the compressive spectral method A Mackey, H Schaeffer, S Osher Multiscale Modeling & Simulation 12 (4), 1800-1827, 2014 | 60 | 2014 |

Forward stability of ResNet and its variants L Zhang, H Schaeffer Journal of Mathematical Imaging and Vision 62, 328-351, 2020 | 57 | 2020 |

An Penalty Method for General Obstacle Problems G Tran, H Schaeffer, WM Feldman, SJ Osher SIAM Journal on Applied Mathematics 75 (4), 1424-1444, 2015 | 43 | 2015 |

Generalization bounds for sparse random feature expansions A Hashemi, H Schaeffer, R Shi, U Topcu, G Tran, R Ward Applied and Computational Harmonic Analysis 62, 310-330, 2023 | 40* | 2023 |

Learning dynamical systems and bifurcation via group sparsity H Schaeffer, G Tran, R Ward arXiv preprint arXiv:1709.01558, 2017 | 34 | 2017 |

PDEs with compressed solutions RE Caflisch, SJ Osher, H Schaeffer, G Tran arXiv preprint arXiv:1311.5850, 2013 | 26 | 2013 |

BelNet: basis enhanced learning, a mesh-free neural operator Z Zhang, L Wing Tat, H Schaeffer Proceedings of the Royal Society A 479 (2276), 20230043, 2023 | 22 | 2023 |

Conditioning of random feature matrices: Double descent and generalization error Z Chen, H Schaeffer arXiv preprint arXiv:2110.11477, 2021 | 19 | 2021 |

Recovery guarantees for polynomial coefficients from weakly dependent data with outliers LST Ho, H Schaeffer, G Tran, R Ward Journal of Approximation Theory 259, 105472, 2020 | 18* | 2020 |

An accelerated method for nonlinear elliptic PDE H Schaeffer, TY Hou Journal of Scientific Computing 69, 556-580, 2016 | 15 | 2016 |

Sparse+ low-energy decomposition for viscous conservation laws TY Hou, Q Li, H Schaeffer Journal of Computational Physics 288, 150-166, 2015 | 15 | 2015 |

Active contours with free endpoints H Schaeffer, L Vese Journal of mathematical imaging and vision 49, 20-36, 2014 | 14 | 2014 |