Learning partial differential equations via data discovery and sparse optimization H Schaeffer
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017
459 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
202 2013 Sparse model selection via integral terms H Schaeffer, SG McCalla
Physical Review E 96 (2), 023302, 2017
191 2017 Extracting sparse high-dimensional dynamics from limited data H Schaeffer, G Tran, R Ward
SIAM Journal on Applied Mathematics 78 (6), 3279-3295, 2018
176 2018 On the convergence of the SINDy algorithm L Zhang, H Schaeffer
Multiscale Modeling & Simulation 17 (3), 948-972, 2019
172 2019 A low patch-rank interpretation of texture H Schaeffer, S Osher
SIAM Journal on Imaging Sciences 6 (1), 226-262, 2013
147 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
100 2020 On the compressive spectral method A Mackey, H Schaeffer, S Osher
Multiscale Modeling & Simulation 12 (4), 1800-1827, 2014
62 2014 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
59 2020 Forward stability of ResNet and its variants L Zhang, H Schaeffer
Journal of Mathematical Imaging and Vision 62, 328-351, 2020
55 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
38 * 2023 Learning dynamical systems and bifurcation via group sparsity H Schaeffer, G Tran, R Ward
arXiv preprint arXiv:1709.01558, 2017
31 2017 PDEs with compressed solutions RE Caflisch, SJ Osher, H Schaeffer, G Tran
arXiv preprint arXiv:1311.5850, 2013
26 2013 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
17 * 2020 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
16 2023 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