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Adam M. Oberman
Adam M. Oberman
Professor, Department of Mathematics and Statistics, McGill University
Verified email at mcgill.ca - Homepage
Title
Cited by
Cited by
Year
Convergent difference schemes for degenerate elliptic and parabolic equations: Hamilton--Jacobi equations and free boundary problems
AM Oberman
SIAM Journal on Numerical Analysis 44 (2), 879-895, 2006
2802006
How to train your neural ODE: the world of Jacobian and kinetic regularization
C Finlay, JH Jacobsen, L Nurbekyan, A Oberman
International conference on machine learning, 3154-3164, 2020
273*2020
Numerical solution of the optimal transportation problem using the Monge–Ampère equation
JD Benamou, BD Froese, AM Oberman
Journal of Computational Physics 260, 107-126, 2014
268*2014
Numerical methods for the fractional Laplacian: A finite difference-quadrature approach
Y Huang, A Oberman
SIAM Journal on Numerical Analysis 52 (6), 3056-3084, 2014
2182014
Wide stencil finite difference schemes for the elliptic Monge-Ampere equation and functions of the eigenvalues of the Hessian
AM Oberman
Discrete Contin. Dyn. Syst. Ser. B 10 (1), 221-238, 2008
1852008
A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions
A Oberman
Mathematics of computation 74 (251), 1217-1230, 2005
1692005
Deep relaxation: partial differential equations for optimizing deep neural networks
P Chaudhari, A Oberman, S Osher, S Soatto, G Carlier
Research in the Mathematical Sciences 5, 1-30, 2018
1612018
Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampere equation in dimensions two and higher
BD Froese, AM Oberman
SIAM J. Numer. Anal., 49 (4), 1692–1714, 2010
1612010
Two numerical methods for the elliptic Monge-Ampere equation
JD Benamou, BD Froese, AM Oberman
ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 737-758, 2010
1562010
Bulk Burning Rate in Passive–Reactive Diffusion
P Constantin, A Kiselev, A Oberman, L Ryzhik
Archive for rational mechanics and analysis 154 (1), 53-91, 2000
1482000
Numerical methods for matching for teams and Wasserstein barycenters
G Carlier, A Oberman, E Oudet
ESAIM: Mathematical Modelling and Numerical Analysis 49 (6), 1621-1642, 2015
1292015
Convergent filtered schemes for the Monge--Ampère partial differential equation
BD Froese, AM Oberman
SIAM Journal on Numerical Analysis 51 (1), 423-444, 2013
1162013
The convex envelope is the solution of a nonlinear obstacle problem
A Oberman
Proceedings of the American Mathematical Society 135 (6), 1689-1694, 2007
1122007
Lipschitz regularized deep neural networks generalize and are adversarially robust
C Finlay, J Calder, B Abbasi, A Oberman
arXiv preprint arXiv:1808.09540, 2018
90*2018
The Dirichlet problem for the convex envelope
A Oberman, L Silvestre
Transactions of the American Mathematical Society 363 (11), 5871-5886, 2011
852011
Anisotropic total variation regularized l^ 1-approximation and denoising/deblurring of 2d bar codes
R Choksi, Y van Gennip, A Oberman
arXiv preprint arXiv:1007.1035, 2010
822010
Fast finite difference solvers for singular solutions of the elliptic Monge–Ampère equation
BD Froese, AM Oberman
Journal of Computational Physics 230 (3), 818-834, 2011
802011
An efficient linear programming method for optimal transportation
AM Oberman, Y Ruan
arXiv preprint arXiv:1509.03668, 2015
792015
Scaleable input gradient regularization for adversarial robustness
C Finlay, AM Oberman
Machine Learning with Applications 3, 100017, 2021
742021
A convergent monotone difference scheme for motion of level sets by mean curvature
AM Oberman
Numerische Mathematik 99, 365-379, 2004
742004
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