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  • Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging

    Shuangshuang Wu, Yuchao Tang, Tieyong Zeng
    2022-11-07
    294541 3068 Pages:626-661
  • A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

    Chen Liu, Béatrice Rivière
    2020-04-30
    62481 4931 Pages:104-141
  • A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication

    Hong-Yu Ma, Chun-Ming Yuan, Li-Yong Shen, Yi-Fei Feng
    2023-02-14
    33079 3117 Pages:325-344
  • Convergence Analysis on a Structure-Preserving Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard System

    Yiran Qian, Cheng Wang, Shenggao Zhou
    2023-02-14
    32902 2990 Pages:345-380
  • Robust Convergence of Parareal Algorithms with Arbitrarily High-Order Fine Propagators

    Jiang Yang, Zhaoming Yuan, Zhi Zhou
    2023-04-25
    35965 3009 Pages:566-591
  • A Multi-Frequency Sampling Method for the Inverse Source Problems with Sparse Measurements

    Xiaodong Liu, Shixu Meng
    2023-10-26
    29396 2606 Pages:653-671
  • Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

    Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang
    2023-10-26
    27069 2446 Pages:721-757
  • Dynamic Pricing with Surging Demand

    Lijun Bo, Yijie Huang
    2024-02-26
    24747 2525 Pages:142-181
  • A Derivative-Free Geometric Algorithm for Optimization on a Sphere

    Yannan Chen, Min Xi, Hongchao Zhang
    2020-12-31
    40352 3676 Pages:766-801
  • 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
    2020-12-31
    50064 4453 Pages:561-615
  • An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations

    T. Sogabe, A. Suzuki, S.-L. Zhang
    2020-04-30
    59643 4427 Pages:142-154
  • Thermodynamics of Freshwater Production via CuS-Infused Porous Membrane Solar Absorber in Seawater Desalination

    A. E. Makinde, O. D. Makinde, M. Maaza, T. Mokrani
    2025-12-08
    0 0
  • Superconvergence Points of Several Polynomial and Nonpolynomial Hermite Spectral Interpolations

    Min Wang, Zhimin Zhang
    2025-12-04
    32 5
  • Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions

    Qiang Du, Xiantao Li, Liming Yuan
    2020-04-30
    59763 4545 Pages:155-185
  • Double-Domain Driven Unet for Selective Segmentation of Medical Image

    Zhi-Feng Pang, Lin Yang, Mingxiang Wu, Ziyu Niu, Raymond Chan, Xue-Cheng Tai
    2025-12-04
    34 6
  • Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning

    Tangjun Wang, Chenglong Bao, Zuoqiang Shi
    2025-12-01
    60 16
  • Optical Wave Turbulence: The Conformal Symmetry Transformations of Statistics of the Quantum Fluids of Light

    V. N. Grebenev
    2025-06-30
    262 20 Open-access
  • Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

    Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang
    2021-08-31
    40938 3433 Pages:532-550
  • Optimality Conditions for Constrained Minimax Optimization

    Yu-Hong Dai, Liwei Zhang
    2020-07-01
    44930 4220 Pages:296-315
  • Theory of the Frequency Principle for General Deep Neural Networks

    Tao Luo, Zheng Ma, Zhi-Qin John Xu, Yaoyu Zhang
    2021-08-31
    44541 3626 Pages:484-507
  • A General Non-Lipschitz Joint Regularized Model for Multi-Channel/Modality Image Reconstruction

    Yiming Gao, Chunlin Wu
    2021-08-31
    40445 3646 Pages:395-430
  • On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

    Weinan E, Stephan Wojtowytsch
    2020-09-25
    43692 3771 Pages:387-440
  • A $C^1$-Conforming Gauss Collocation Method for Elliptic Equations and Superconvergence Analysis Over Rectangular Meshes

    Waixiang Cao, Lueling Jia, Zhimin Zhang
    2024-05-20
    20462 1764 Pages:320-349
  • Revisiting Parallel Splitting Augmented Lagrangian Method: Tight Convergence and Ergodic Convergence Rate

    Fan Jiang, Bingyan Lu, Zhongming Wu
    2024-11-29
    12672 1133 Pages:884-913
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