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2020 – today
- 2024
[j8]Paula X. Chen
, Jérôme Darbon, Tingwei Meng:
Hopf-type representation formulas and efficient algorithms for certain high-dimensional optimal control problems. Comput. Math. Appl. 161: 90-120 (2024)- [j7]Zongren Zou, Tingwei Meng, Paula X. Chen, Jérôme Darbon, George Em Karniadakis:
Leveraging Viscous Hamilton-Jacobi PDEs for Uncertainty Quantification in Scientific Machine Learning. SIAM/ASA J. Uncertain. Quantification 12(4): 1165-1191 (2024) - [j6]Paula X. Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis:
Leveraging Multitime Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems. SIAM J. Sci. Comput. 46(2): 216- (2024) - [c1]Paula X. Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis:
Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning. L4DC 2024: 1-12 - [i14]Tingwei Meng, Siting Liu, Wuchen Li, Stanley J. Osher:
A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs. CoRR abs/2403.02468 (2024) - [i13]Zongren Zou, Tingwei Meng, Paula X. Chen, Jérôme Darbon, George Em Karniadakis:
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning. CoRR abs/2404.08809 (2024) - [i12]Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis:
HJ-sampler: A Bayesian sampler for inverse problems of a stochastic process by leveraging Hamilton-Jacobi PDEs and score-based generative models. CoRR abs/2409.09614 (2024) - 2023
- [j5]Jérôme Darbon, Peter M. Dower, Tingwei Meng:
Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton-Jacobi PDEs. Math. Control. Signals Syst. 35(1): 1-44 (2023) - [i11]Paula X. Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis:
Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems. CoRR abs/2303.12928 (2023) - [i10]Liu Yang, Siting Liu, Tingwei Meng, Stanley J. Osher:
In-Context Operator Learning for Differential Equation Problems. CoRR abs/2304.07993 (2023) - [i9]Liu Yang, Tingwei Meng, Siting Liu, Stanley J. Osher:
Prompting In-Context Operator Learning with Sensor Data, Equations, and Natural Language. CoRR abs/2308.05061 (2023) - [i8]Tingwei Meng, Wenbo Hao, Siting Liu, Stanley J. Osher, Wuchen Li:
Primal-dual hybrid gradient algorithms for computing time-implicit Hamilton-Jacobi equations. CoRR abs/2310.01605 (2023) - [i7]Paula X. Chen, Tingwei Meng, Zongren Zou, Jérôme Darbon, George Em Karniadakis:
Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning. CoRR abs/2311.07790 (2023) - 2022
- [j4]Jérôme Darbon, Tingwei Meng, Elena Resmerita:
On Hamilton-Jacobi PDEs and Image Denoising Models with Certain Nonadditive Noise. J. Math. Imaging Vis. 64(4): 408-441 (2022) - [j3]Tingwei Meng, Zhen Zhang, Jérôme Darbon, George E. Karniadakis:
SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems. SIAM J. Sci. Comput. 44(6): 1341- (2022) - [i6]Tingwei Meng, Zhen Zhang, Jérôme Darbon, George Em Karniadakis:
SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems. CoRR abs/2201.05475 (2022) - 2021
- [j2]Jérôme Darbon, Tingwei Meng:
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton-Jacobi partial differential equations. J. Comput. Phys. 425: 109907 (2021) - [i5]Liu Yang, Tingwei Meng, George Em Karniadakis:
Measure-conditional Discriminator with Stationary Optimum for GANs and Statistical Distance Surrogates. CoRR abs/2101.06802 (2021) - [i4]Jérôme Darbon, Gabriel Provencher Langlois, Tingwei Meng:
Connecting Hamilton-Jacobi partial differential equations with maximum a posteriori and posterior mean estimators for some non-convex priors. CoRR abs/2104.11285 (2021) - [i3]Jérôme Darbon, Peter M. Dower, Tingwei Meng:
Neural network architectures using min plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs. CoRR abs/2105.03336 (2021) - [i2]Jérôme Darbon, Tingwei Meng, Elena Resmerita:
On Hamilton-Jacobi PDEs and image denoising models with certain non-additive noise. CoRR abs/2105.13997 (2021) - 2020
- [j1]Jérôme Darbon, Tingwei Meng:
On Decomposition Models in Imaging Sciences and Multi-time Hamilton-Jacobi Partial Differential Equations. SIAM J. Imaging Sci. 13(2): 971-1014 (2020) - [i1]Jérôme Darbon, Tingwei Meng:
On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton-Jacobi partial differential equations. CoRR abs/2002.09750 (2020)
Coauthor Index
aka: George E. Karniadakis
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