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
75 2019 Auction dynamics: A volume constrained MBO scheme M Jacobs, E Merkurjev, S Esedoḡlu
Journal of Computational Physics 354, 288-310, 2018
65 2018 A fast approach to optimal transport: The back-and-forth method M Jacobs, F Léger
Numerische Mathematik 146 (3), 513-544, 2020
62 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
24 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
22 2017 Convolution kernels and stability of threshold dynamics methods S Esedoglu, M Jacobs
SIAM Journal on Numerical Analysis 55 (5), 2123-2150, 2017
22 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
21 2023 Tumor growth with nutrients: Regularity and stability M Jacobs, I Kim, J Tong
Communications of the American Mathematical Society 3 (04), 166-208, 2023
16 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
16 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
13 2021 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
13 2021 Existence of solutions to reaction cross diffusion systems M Jacobs
SIAM Journal on Mathematical Analysis 55 (6), 6991-7023, 2023
10 2023 A fast MBO scheme for multiclass data classification M Jacobs
Scale Space and Variational Methods in Computer Vision: 6th International …, 2017
7 2017 Nonlocal approximation of slow and fast diffusion K Craig, M Jacobs, O Turanova
Journal of Differential Equations 426, 782-852, 2025
6 2025 On the existence of solutions to adversarial training in multiclass classification NG Trillos, M Jacobs, J Kim
European Journal of Applied Mathematics, 1-21, 2024
6 2024 A partial differential equations approach to defeating partisan gerrymandering M Jacobs, O Walch
arXiv preprint arXiv:1806.07725, 2018
6 2018 Non-mixing lagrangian solutions to the multispecies porous media equation M Jacobs
ArXiv Preprint, 2022
4 2022 The -contraction principle in optimal transport M Jacobs, I Kim, J Tong
arXiv preprint arXiv:2006.09557, 2020
4 2020 A fast approach to optimal transport: the back-and-forth method. Preprint M Jacobs, F Léger
arXiv preprint arXiv:1905.12154, 2019
4 2019 An optimal transport approach for computing adversarial training lower bounds in multiclass classification NG Trillos, M Jacobs, J Kim, M Werenski
Journal of Machine Learning Research 25 (393), 1-45, 2024
3 2024