Articles

• Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

  Weinan E, Chao Ma, Lei Wu, Stephan Wojtowytsch

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  50064 4453 Pages:561-615

• Modeling and Computation of Nano-Optics

  Gang Bao, Ricardo Delgadillo, Guanghui Hu, Di Liu, Songting Luo

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  41808 3719 Pages:616-638

• A Family of Curl-Curl Conforming Finite Elements on Tetrahedral Meshes

  Qian Zhang, Zhimin Zhang

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  41312 3755 Pages:639-663

• An Efficient Online-Offline Method for Elliptic Homogenization Problems

  Yufang Huang, Pingbing Ming, Siqi Song

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  39835 3591 Pages:664-692

• Convergence Analysis of Asymptotical Regularization and Runge-Kutta Integrators for Linear Inverse Problems under Variational Source Conditions

  Yubin Zhao, Peter Mathé, Shuai Lu

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  40507 3739 Pages:693-714

• MFPC-Net: Multi-Fidelity Physics-Constrained Neural Process

  Yating Wang, Guang Lin

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  39725 3601 Pages:715-739

• Determining a Piecewise Conductive Medium Body by a Single Far-Field Measurement

  Xinlin Cao, Huaian Diao, Hongyu Liu

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  42884 3901 Pages:740-765

• A Derivative-Free Geometric Algorithm for Optimization on a Sphere

  Yannan Chen, Min Xi, Hongchao Zhang

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  40352 3676 Pages:766-801