Articles

• Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions

  Hadrien Montanelli, Haizhao Yang, Qiang Du

  801-815

  https://doi.org/10.4208/jcm.2007-m2019-0239

  • Preview
  • Requires Subscription Full PDF

  54969 4297

• Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs

  Genming Bai, Ujjwal Koley, Siddhartha Mishra, Roberto Molinaro

  816-847

  https://doi.org/10.4208/jcm.2101-m2020-0342

  • Preview
  • Requires Subscription Full PDF

  41246 3719

• An Acceleration Strategy for Randomize-Then-Optimize Sampling via Deep Neural Networks

  Liang Yan, Tao Zhou

  848-864

  https://doi.org/10.4208/jcm.2102-m2020-0339

  • Preview
  • Requires Subscription Full PDF

  42598 3612

• Convergence of the Weighted Nonlocal Laplacian on Random Point Cloud

  Zuoqiang Shi, Bao Wang

  865-879

  https://doi.org/10.4208/jcm.2104-m2020-0309

  • Preview
  • Requires Subscription Full PDF

  38957 3497

• Achieving Adversarial Robustness Requires an Active Teacher

  Chao Ma, Lexing Ying

  880-896

  https://doi.org/10.4208/jcm.2105-m2020-0310

  • Preview
  • Requires Subscription Full PDF

  40713 3607

• The Random Batch Method for $N$-Body Quantum Dynamics

  Fran\u00e7ois Golse, Shi Jin, Thierry Paul

  897-922

  https://doi.org/10.4208/jcm.2107-m2020-0306

  • Preview
  • Requires Subscription Full PDF

  39658 3820