| Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures J Darbon, GP Langlois, T Meng Research in the Mathematical Sciences 7 (3), 20, 2020 | 134 | 2020 |
| Tempo: feature-endowed Teichmuller extremal mappings of point clouds TW Meng, GPT Choi, LM Lui SIAM Journal on Imaging Sciences 9 (4), 1922-1962, 2016 | 79 | 2016 |
| On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton–Jacobi partial differential equations J Darbon, T Meng Journal of Computational Physics 425, 109907, 2021 | 68 | 2021 |
| In-context operator learning with data prompts for differential equation problems L Yang, S Liu, T Meng, SJ Osher Proceedings of the National Academy of Sciences 120 (39), e2310142120, 2023 | 45 | 2023 |
| Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton–Jacobi PDEs J Darbon, PM Dower, T Meng Mathematics of Control, Signals, and Systems 35 (1), 1-44, 2023 | 24 | 2023 |
| On decomposition models in imaging sciences and multi-time Hamilton--Jacobi partial differential equations J Darbon, T Meng SIAM Journal on Imaging Sciences 13 (2), 971-1014, 2020 | 24 | 2020 |
| Sympocnet: Solving optimal control problems with applications to high-dimensional multiagent path planning problems T Meng, Z Zhang, J Darbon, G Karniadakis SIAM Journal on Scientific Computing 44 (6), B1341-B1368, 2022 | 21 | 2022 |
| Prompting in-context operator learning with sensor data, equations, and natural language L Yang, T Meng, S Liu, SJ Osher arXiv preprint arXiv:2308.05061, 2023 | 19* | 2023 |
| Leveraging multitime Hamilton–Jacobi PDEs for certain scientific machine learning problems P Chen, T Meng, Z Zou, J Darbon, GE Karniadakis SIAM Journal on Scientific Computing 46 (2), C216-C248, 2024 | 12 | 2024 |
| On Hamilton–Jacobi PDEs and image denoising models with certain nonadditive noise J Darbon, T Meng, E Resmerita Journal of Mathematical Imaging and Vision 64 (4), 408-441, 2022 | 11 | 2022 |
| Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems P Chen, J Darbon, T Meng Communications on Applied Mathematics and Computation 6 (2), 1428-1471, 2024 | 10 | 2024 |
| In-context operator learning for differential equation problems L Yang, S Liu, T Meng, SJ Osher arXiv e-prints, arXiv: 2304.07993, 2023 | 10 | 2023 |
| Hopf-type representation formulas and efficient algorithms for certain high-dimensional optimal control problems P Chen, J Darbon, T Meng Computers & Mathematics with Applications 161, 90-120, 2024 | 9 | 2024 |
| Leveraging viscous Hamilton–Jacobi PDEs for uncertainty quantification in scientific machine learning Z Zou, T Meng, P Chen, J Darbon, GE Karniadakis SIAM/ASA Journal on Uncertainty Quantification 12 (4), 1165-1191, 2024 | 7 | 2024 |
| Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning P Chen, T Meng, Z Zou, J Darbon, GE Karniadakis 6th Annual Learning for Dynamics & Control Conference, 1-12, 2024 | 7 | 2024 |
| Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations T Meng, W Hao, S Liu, SJ Osher, W Li arXiv preprint arXiv:2310.01605, 2023 | 6 | 2023 |
| PCBC: Quasiconformality of point cloud mappings T Meng, LM Lui Journal of Scientific Computing 77, 597-633, 2018 | 5 | 2018 |
| Connecting Hamilton-Jacobi partial differential equations with maximum a posteriori and posterior mean estimators for some non-convex priors J Darbon, GP Langlois, T Meng Handbook of Mathematical Models and Algorithms in Computer Vision and …, 2021 | 4 | 2021 |
| The theory of computational quasi-conformal geometry on point clouds TW Meng, LM Lui arXiv preprint arXiv:1510.05104, 2015 | 4 | 2015 |
| HJ-sampler: A Bayesian sampler for inverse problems of a stochastic process by leveraging Hamilton-Jacobi PDEs and score-based generative models T Meng, Z Zou, J Darbon, GE Karniadakis arXiv preprint arXiv:2409.09614, 2024 | 2 | 2024 |
Jérôme DarbonDivision of Applied Mathematics, Brown UniversityE-mail confirmado em brown.edu