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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  50335 4528 Pages:561-615

• Modeling and Computation of Nano-Optics

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

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  41992 3746 Pages:616-638

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

  Qian Zhang, Zhimin Zhang

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  41486 3822 Pages:639-663

• An Efficient Online-Offline Method for Elliptic Homogenization Problems

  Yufang Huang, Pingbing Ming, Siqi Song

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  40017 3646 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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  40664 3776 Pages:693-714

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

  Yating Wang, Guang Lin

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  39915 3674 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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  43059 3949 Pages:740-765

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

  Yannan Chen, Min Xi, Hongchao Zhang

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  40560 3722 Pages:766-801