| 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 | 89 | 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 | 69 | 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 | 51 | 2021 |
| 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 | 19 | 2020 |
| 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 | 15 | 2023 |
| 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 | 11 | 2023 |
| 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 | 10 | 2022 |
| 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 | 7 | 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 | 7 | 2022 |
| Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems P Chen, J Darbon, T Meng arXiv preprint arXiv:2109.14849, 2021 | 6 | 2021 |
| 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 | 5 | 2024 |
| 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 | 5 | 2023 |
| In-context operator learning for differential equation problems L Yang, S Liu, T Meng, SJ Osher arXiv preprint arXiv:2304.07993, 2023 | 5 | 2023 |
| PCBC: Quasiconformality of point cloud mappings T Meng, LM Lui Journal of Scientific Computing 77, 597-633, 2018 | 4 | 2018 |
| 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 | 3 | 2023 |
| The theory of computational quasi-conformal geometry on point clouds TW Meng, LM Lui arXiv preprint arXiv:1510.05104, 2015 | 3 | 2015 |
| Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning P Chen, T Meng, Z Zou, J Darbon, GE Karniadakis arXiv preprint arXiv:2311.07790, 2023 | 2 | 2023 |
| Measure-conditional discriminator with stationary optimum for GANs and statistical distance surrogates L Yang, T Meng, GE Karniadakis arXiv preprint arXiv:2101.06802, 2021 | 1 | 2021 |
| 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 | 1 | 2021 |
| Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning Z Zou, T Meng, P Chen, J Darbon, GE Karniadakis arXiv preprint arXiv:2404.08809, 2024 | | 2024 |
Jérôme DarbonDivision of Applied Mathematics, Brown UniversityBestätigte E-Mail-Adresse bei brown.edu
