Solving large-scale optimization problems with a convergence rate independent of grid size M Jacobs, F Léger, W Li, S Osher SIAM Journal on Numerical Analysis 57 (3), 1100-1123, 2019 | 66 | 2019 |
Auction dynamics: A volume constrained MBO scheme M Jacobs, E Merkurjev, S Esedoḡlu Journal of Computational Physics 354, 288-310, 2018 | 58 | 2018 |
A fast approach to optimal transport: The back-and-forth method M Jacobs, F Léger Numerische Mathematik 146 (3), 513-544, 2020 | 51 | 2020 |
Weak solutions to the Muskat problem with surface tension via optimal transport M Jacobs, I Kim, AR Mészáros Archive for Rational Mechanics and Analysis 239, 389-430, 2021 | 22 | 2021 |
Kernels with prescribed surface tension & mobility for threshold dynamics schemes S Esedoḡlu, M Jacobs, P Zhang Journal of Computational Physics 337, 62-83, 2017 | 20 | 2017 |
Convolution kernels and stability of threshold dynamics methods S Esedoglu, M Jacobs SIAM Journal on Numerical Analysis 55 (5), 2123-2150, 2017 | 18 | 2017 |
The multimarginal optimal transport formulation of adversarial multiclass classification NG Trillos, M Jacobs, J Kim Journal of Machine Learning Research 24 (45), 1-56, 2023 | 14 | 2023 |
Darcy’s law with a source term M Jacobs, I Kim, J Tong Archive for Rational Mechanics and Analysis 239 (3), 1349-1393, 2021 | 14 | 2021 |
Tumor growth with nutrients: Regularity and stability M Jacobs, I Kim, J Tong Communications of the American Mathematical Society 3 (04), 166-208, 2023 | 12 | 2023 |
The back-and-forth method for Wasserstein gradient flows M Jacobs, W Lee, F Léger ESAIM: Control, Optimisation and Calculus of Variations 27, 28, 2021 | 12 | 2021 |
A crystal symmetry-invariant Kobayashi–Warren–Carter grain boundary model and its implementation using a thresholding algorithm J Kim, M Jacobs, S Osher, NC Admal Computational Materials Science 199, 110575, 2021 | 10 | 2021 |
Existence of solutions to reaction cross diffusion systems M Jacobs SIAM Journal on Mathematical Analysis 55 (6), 6991-7023, 2023 | 8 | 2023 |
A partial differential equations approach to defeating partisan gerrymandering M Jacobs, O Walch arXiv preprint arXiv:1806.07725, 2018 | 5 | 2018 |
A fast MBO scheme for multiclass data classification M Jacobs Scale Space and Variational Methods in Computer Vision: 6th International …, 2017 | 5 | 2017 |
On the existence of solutions to adversarial training in multiclass classification NG Trillos, M Jacobs, J Kim arXiv preprint arXiv:2305.00075, 2023 | 4 | 2023 |
A fast approach to optimal transport: the back-and-forth method. Preprint M Jacobs, F Léger arXiv preprint arXiv:1905.12154, 2019 | 4 | 2019 |
Nonlocal approximation of slow and fast diffusion K Craig, M Jacobs, O Turanova arXiv preprint arXiv:2312.11438, 2023 | 3 | 2023 |
Non-mixing lagrangian solutions to the multispecies porous media equation M Jacobs ArXiv Preprint, 2022 | 3 | 2022 |
The -contraction principle in optimal transport M Jacobs, I Kim, J Tong arXiv preprint arXiv:2006.09557, 2020 | 3 | 2020 |
It begins with a boundary: A geometric view on probabilistically robust learning L Bungert, NG Trillos, M Jacobs, D McKenzie, Đ Nikolić, Q Wang arXiv preprint arXiv:2305.18779, 2023 | 2 | 2023 |