| Leveraging Multi-time 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), 2024 | 12 | 2024 |
| A Model for Spheroid versus Monolayer Response of SK‐N‐SH Neuroblastoma Cells to Treatment with 15‐Deoxy‐PGJ2 DI Wallace, A Dunham, PX Chen, M Chen, M Huynh, E Rheingold, ... Computational and Mathematical Methods in Medicine 2016 (1), 3628124, 2016 | 11 | 2016 |
| 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, 1-44, 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 |
| 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 | 7 | 2024 |
| Periodic artifact removal with applications to deep brain stimulation P Chen, T Kim, E Dastin-van Rijn, NR Provenza, SA Sheth, WK Goodman, ... IEEE Transactions on Neural Systems and Rehabilitation Engineering 30, 2692-2699, 2022 | 5* | 2022 |
| Efficient Algorithms for High-Dimensional Hamilton-Jacobi Partial Differential Equations and Optimal Control Problems PX Chen Brown University, 2023 | | 2023 |
| Period-based artifact reconstruction and removal for deep brain stimulation DA Borton, EM Dastin-van Rijn, MT Harrison, NR Provenza, P Chen, ... US Patent App. 17/722,903, 2022 | | 2022 |
Jérôme DarbonDivision of Applied Mathematics, Brown UniversityVerified email at brown.edu
