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1

Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems

Oberman, Adam M.

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.15 MB

english, 2006

2

Deep relaxation: partial differential equations for optimizing deep neural networks

Chaudhari, Pratik, Oberman, Adam, Osher, Stanley, Soatto, Stefano, Carlier, Guillaume

Journal:

Research in the Mathematical Sciences

Year:

2018

Language:

english

File:

PDF, 1.04 MB

english, 2018

3

A convergent monotone difference scheme for motion of level sets by mean curvature

Adam M. Oberman

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 213 KB

english, 2004

4

The Potential of Repetitive Transcranial Magnetic Stimulation for Autism Spectrum Disorder: A Consensus Statement

Cole, Eleanor J., Enticott, Peter G., Oberman, Lindsay M., Gwynette, M. Frampton, Casanova, Manuel F., Jackson, Scott L.J., Jannati, Ali, McPartland, James C., Naples, Adam J., Puts, Nicolaas A.J., Al

Journal:

Biological Psychiatry

Year:

2018

Language:

english

File:

PDF, 92 KB

english, 2018

5

Scaleable input gradient regularization for adversarial robustness

Finlay, Chris, Oberman, Adam M.

Journal:

Machine Learning with Applications

Year:

2021

File:

PDF, 684 KB

2021

6

Bulk Burning Rate in¶Passive–Reactive Diffusion

Peter Constantin, Alexander Kiselev, Adam Oberman, Leonid Ryzhik

Journal:

Archive for Rational Mechanics and Analysis

Year:

2000

Language:

english

File:

PDF, 248 KB

english, 2000

7

Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach

Huang, Yanghong, Oberman, Adam

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 375 KB

english, 2014

8

The Dirichlet problem for the convex envelope

Oberman, Adam M., Silvestre, Luis

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 267 KB

english, 2011

9

Anomaly Detection and Classification for Streaming Data using PDEs

Abbasi, Bilal, Calder, Jeff, Oberman, Adam M.

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 730 KB

english, 2018

10

[IEEE 2017 51st Asilomar Conference on Signals, Systems, and Computers - Pacific Grove, CA, USA (2017.10.29-2017.11.1)] 2017 51st Asilomar Conference on Signals, Systems, and Computers - Partial differential equations for training deep neural networks

Chaudhari, Pratik, Oberman, Adam, Osher, Stanley, Soatto, Stefano, Carlier, Guillaume

Year:

2017

Language:

english

File:

PDF, 335 KB

english, 2017

11

Convergent Finite Difference Solvers for Viscosity Solutions of the Elliptic Monge–Ampère Equation in Dimensions Two and Higher

Froese, Brittany D., Oberman, Adam M.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 671 KB

english, 2011

12

Computing the Effective Hamiltonian Using a Variational Approach

Gomes, Diogo A., Oberman, Adam M.

Journal:

SIAM Journal on Control and Optimization

Year:

2004

Language:

english

File:

PDF, 788 KB

english, 2004

13

Homogenization of Metric Hamilton–Jacobi Equations

Oberman, Adam M., Takei, Ryo, Vladimirsky, Alexander

Journal:

Multiscale Modeling and Simulation

Year:

2009

Language:

english

File:

PDF, 2.75 MB

english, 2009

14

Finite difference methods for the Infinity Laplace and -Laplace equations

Oberman, Adam M.

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 962 KB

english, 2013

15

Exact semi-geostrophic flows in an elliptical ocean basin

McCann, Robert J, Oberman, Adam M

Journal:

Year:

2004

Language:

english

File:

PDF, 503 KB

english, 2004

16

Numerical solution of the Optimal Transportation problem using the Monge–Ampère equation

Benamou, Jean-David, Froese, Brittany D., Oberman, Adam M.

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 1.80 MB

english, 2014

17

Convergent Filtered Schemes for the Monge--Ampère Partial Differential Equation

Froese, Brittany D., Oberman, Adam M.

Journal:

SIAM Journal on Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 614 KB

english, 2013

18

COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION

OBERMAN, ADAM M.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2008

Language:

english

File:

PDF, 1.30 MB

english, 2008

19

Filtered schemes for Hamilton–Jacobi equations: A simple construction of convergent accurate difference schemes

Oberman, Adam M., Salvador, Tiago

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 2.20 MB

english, 2015

20

An explicit solution of the Lipschitz extension problem

Oberman, Adam M.

Journal:

Proceedings of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 237 KB

english, 2008

21

A Numerical Method for Variational Problems with Convexity Constraints

Oberman, Adam M.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 2.68 MB

english, 2013

22

Adaptive Finite Difference Methods for Nonlinear Elliptic and Parabolic Partial Differential Equations with Free Boundaries

Oberman, Adam M., Zwiers, Ian

Journal:

Journal of Scientific Computing

Year:

2016

Language:

english

File:

PDF, 3.52 MB

english, 2016

23

Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton-Jacobi Equations and Free Boundary Problems

Adam M. Oberman

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.72 MB

english, 2006

24

The Convex Envelope Is the Solution of a Nonlinear Obstacle Problem

Adam M. Oberman

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 651 KB

english, 2007

25

A Convergent Difference Scheme for the Infinity Laplacian: Construction of Absolutely Minimizing Lipschitz Extensions

Adam M. Oberman

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 480 KB

english, 2005

26

Numerical methods for the 2-Hessian elliptic partial differential equation

Froese, Brittany D., Oberman, Adam M., Salvador, Tiago

Journal:

IMA Journal of Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 1.12 MB

english, 2016

27

Costs of epilepsy and cost-driving factors in children, adolescents, and their caregivers in Germany

Riechmann, Janna, Strzelczyk, Adam, Reese, Jens P., Boor, Rainer, Stephani, Ulrich, Langner, Cornelia, Neubauer, Bernd A., Oberman, Bettina, Philippi, Heike, Rochel, Michael, Seeger, Jürgen, Seipelt,

Journal:

Year:

2015

Language:

english

File:

PDF, 174 KB

english, 2015

28

A multigrid scheme for 3D Monge–Ampère equations *

Liu, Jun, Froese, Brittany D., Oberman, Adam M., Xiao, Mingqing

Journal:

International Journal of Computer Mathematics

Year:

2016

Language:

english

File:

PDF, 1.60 MB

english, 2016

29

A Partial Differential Equation for the Rank One Convex Envelope

Oberman, Adam M., Ruan, Yuanlong

Journal:

Archive for Rational Mechanics and Analysis

Year:

2017

Language:

english

File:

PDF, 1.66 MB

english, 2017

30

Two Numerical Methods for the elliptic Monge-Ampère equation

Benamou, Jean-David, Froese, Brittany D., Oberman, Adam M.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 1.10 MB

english, 2010

31

Computing the Level Set Convex Hull

Abbasi, Bilal, Oberman, Adam M.

Journal:

Journal of Scientific Computing

Year:

2017

Language:

english

File:

PDF, 943 KB

english, 2017

32

Numerical methods for matching for teams and Wasserstein barycenters

Carlier, Guillaume, Oberman, Adam, Oudet, Edouard

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 2.63 MB

english, 2015

33

Numerical methods for motion of level sets by affine curvature

Oberman, Adam M., Salvador, Tiago

Journal:

IMA Journal of Numerical Analysis

Year:

2017

Language:

english

File:

PDF, 676 KB

english, 2017

34

Stochastic Backward Euler: An Implicit Gradient Descent Algorithm for k-Means Clustering

Yin, Penghang, Pham, Minh, Oberman, Adam, Osher, Stanley

Journal:

Journal of Scientific Computing

Year:

2018

Language:

english

File:

PDF, 1.09 MB

english, 2018

35

10.1090/S0002-9939-07-08887-9

Oberman, Adam M.

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 368 KB

english, 2007

36

Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations

Finlay, Chris, Oberman, Adam M.

Journal:

Journal of Scientific Computing

Year:

2018

Language:

english

File:

PDF, 747 KB

english, 2018

37

A partial differential equation for the $\epsilon$-uniformly quasiconvex envelope

Abbasi, Bilal, Oberman, Adam M

Journal:

IMA Journal of Numerical Analysis

Year:

2019

File:

PDF, 790 KB

2019

38

A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions

Oberman, Adam M.

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 303 KB

english, 2004

39

Improved Accuracy of Monotone Finite Difference Schemes on Point Clouds and Regular Grids

Finlay, Chris, Oberman, Adam

Journal:

SIAM Journal on Scientific Computing

Year:

2019

Language:

english

File:

PDF, 513 KB

english, 2019

40

Improved Accuracy of Monotone Finite Difference Schemes on Point Clouds and Regular Grids

Finlay, Chris, Oberman, Adam

Journal:

SIAM Journal on Scientific Computing

Year:

2019

File:

PDF, 513 KB

2019

41

No-Collision Transportation Maps

Nurbekyan, Levon, Iannantuono, Alexander, Oberman, Adam M.

Journal:

Journal of Scientific Computing

Year:

2020

Language:

english

File:

PDF, 978 KB

english, 2020

42

[IEEE 2019 IEEE/CVF International Conference on Computer Vision (ICCV) - Seoul, Korea (South) (2019.10.27-2019.11.2)] 2019 IEEE/CVF International Conference on Computer Vision (ICCV) - The LogBarrier Adversarial Attack: Making Effective Use of Decision Boundary Information

Finlay, Chris, Pooladian, Aram-Alexandre, Oberman, Adam

Year:

2019

File:

PDF, 430 KB

2019

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