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• Identification of Corrupted Data via $k$-Means Clustering for Function Approximation

  Jun Hou, Yeonjong Shin, Dongbin Xiu

  2021-02-26

  40771 4070 Pages:81-107

• An $L^2$ Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation

  Jihao Long, Jiequn Han, Weinan E

  2022-05-30

  39946 3155 Pages:191-220

• A Saturation-Component Based Fuzzy Mumford-Shah Model for Color Image Segmentation

  Wei Wang, Caifei Li, Michael K. Ng

  2021-11-29

  38923 3518 Pages:724-747

• Multipliers Correction Methods for Optimization Problems over the Stiefel Manifold

  Lei Wang, Bin Gao, Xin Liu

  2021-08-31

  44887 3708 Pages:508-531

• An Efficient Iterative Convolution-Thresholding Method for Image Inpainting

  Caixia Nan, Zhonghua Qiao, Dong Wang

  2025-12-04

  362 81

• A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method

  Yingxia Xi, Xia Ji

  2021-11-29

  38650 3333 Pages:776-792

• A Constrained BA Algorithm for Rate-Distortion and Distortion-Rate Functions

  Lingyi Chen, Shitong Wu, Wenhao Ye, Huihui Wu, Wenyi Zhang, Hao Wu, Bo Bai

  2025-05-29

  8623 650 Pages:350-379

• Super-Resolution Inversion of Non-Stationary Seismic Traces

  Jinghuai Gao, Hongling Chen, Lingling Wang, Bing Zhang

  2021-02-26

  40810 4193 Pages:131-161

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27306 2491 Pages:721-757

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38329 3254 Pages:299-317

• 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

  20558 1800 Pages:320-349

• 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

  50255 4514 Pages:561-615

• 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

  43801 3819 Pages:387-440

• Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

  Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang

  2021-08-31

  41029 3473 Pages:532-550

• Superconvergence Points of Several Polynomial and Nonpolynomial Hermite Spectral Interpolations

  Min Wang, Zhimin Zhang

  2026-01-25

  503 81 Pages:146-177

• Optical Wave Turbulence: The Conformal Symmetry Transformations of Statistics of the Quantum Fluids of Light

  V. N. Grebenev

  2026-01-25

  736 74 Pages:62-85