An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. - Thomas Y. Hou 001; Zuoqiang Shi (J. Comput. Phys., 2008)

Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. - Thomas Y. Hou 001; Zuoqiang Shi (J. Comput. Phys., 2008)

Adaptive Data Analysis via Sparse Time-Frequency Representation. - Thomas Y. Hou 001; Zuoqiang Shi (Adv. Data Sci. Adapt. Anal., 2011)

Sparse Time-Frequency decomposition by adaptive basis pursuit. - Thomas Y. Hou 001; Zuoqiang Shi (CoRR, 2013)

Sparse Time Frequency Representations and Dynamical Systems. - Thomas Y. Hou 001; Zuoqiang Shi; Peyman Tavallali (CoRR, 2013)

Convergence of a data-driven time-frequency analysis method - Thomas Y. Hou 001; Zuoqiang Shi; Peyman Tavallali (CoRR, 2013)

Extraction of Intrawave Signals Using the Sparse Time-Frequency Representation Method. - Peyman Tavallali; Thomas Y. Hou 001; Zuoqiang Shi (Multiscale Model. Simul., 2014)

Extracting a shape function for a signal with intra-wave frequency modulation. - Thomas Y. Hou 001; Zuoqiang Shi (CoRR, 2015)

Convergence of Laplacian spectra from random samples. - Zuoqiang Shi (CoRR, 2015)

Harmonic Extension. - Zuoqiang Shi; Jian Sun 002; Minghao Tian (CoRR, 2015)

On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data. - Chunguang Liu; Zuoqiang Shi; Thomas Y. Hou 001 (Multiscale Model. Simul., 2015)

A Harmonic Extension Approach for Collaborative Ranking. - Da Kuang; Zuoqiang Shi; Stanley J. Osher; Andrea L. Bertozzi (CoRR, 2016)

Low dimensional manifold model in hyperspectral image reconstruction. - Zuoqiang Shi; Wei Zhu 007; Stanley J. Osher (CoRR, 2016)

A Convergent Point Integral Method for Isotropic Elliptic Equations on a Point Cloud. - Zhen Li 029; Zuoqiang Shi (Multiscale Model. Simul., 2016)

Sparse Time-Frequency Decomposition for Multiple Signals with Same Frequencies. - Thomas Y. Hou 001; Zuoqiang Shi (Adv. Data Sci. Adapt. Anal., 2017)

Deep Residual Learning and PDEs on Manifold. - Zhen Li 029; Zuoqiang Shi (CoRR, 2017)

Notes: A Continuous Model of Neural Networks. Part I: Residual Networks. - Zhen Li 029; Zuoqiang Shi (CoRR, 2017)

Weighted Nonlocal Laplacian on Interpolation from Sparse Data. - Zuoqiang Shi; Stanley J. Osher; Wei Zhu 007 (J. Sci. Comput., 2017)

Low Dimensional Manifold Model for Image Processing. - Stanley J. Osher; Zuoqiang Shi; Wei Zhu 007 (SIAM J. Imaging Sci., 2017)

Deep Neural Nets with Interpolating Function as Output Activation. - Bao Wang 001; Xiyang Luo; Zhen Li 029; Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (NeurIPS, 2018)

Scalable Low Dimensional Manifold Model In The Reconstruction Of Noisy And Incomplete Hyperspectral Images. - Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (WHISPERS, 2018)

Weighted Nonlocal Total Variation in Image Processing. - Haohan Li; Zuoqiang Shi; Xiaoping Wang 002 (CoRR, 2018)

Deep Learning with Data Dependent Implicit Activation Function. - Bao Wang 001; Xiyang Luo; Zhen Li 029; Wei Zhu 007; Zuoqiang Shi; Stanley J. Osher (CoRR, 2018)

Adversarial Defense via Data Dependent Activation Function and Total Variation Minimization. - Bao Wang 001; Alex Tong Lin; Zuoqiang Shi; Wei Zhu 007; Penghang Yin; Andrea L. Bertozzi; Stanley J. Osher (CoRR, 2018)

EnResNet: ResNet Ensemble via the Feynman-Kac Formalism. - Bao Wang 001; Binjie Yuan; Zuoqiang Shi; Stanley J. Osher (CoRR, 2018)

Generalization of the Weighted Nonlocal Laplacian in Low Dimensional Manifold Model. - Zuoqiang Shi; Stanley J. Osher; Wei Zhu 007 (J. Sci. Comput., 2018)

Harmonic Extension on The Point Cloud. - Zuoqiang Shi; Jian Sun 002; Minghao Tian (Multiscale Model. Simul., 2018)

ResNets Ensemble via the Feynman-Kac Formalism to Improve Natural and Robust Accuracies. - Bao Wang 001; Zuoqiang Shi; Stanley J. Osher (NeurIPS, 2019)

Group-Sparsity-Based Super-Resolution Dipole Orientation Mapping. - Long Chen; Miaoyan Wang; Xu Zhang 035; Michael Zhang; Yucheng Hu; Zuoqiang Shi; Peng Xi; Juntao Gao (IEEE Trans. Medical Imaging, 2019)

Surface Reconstruction Based on the Modified Gauss Formula. - Wenjia Lu; Zuoqiang Shi; Jian Sun 002; Bin Wang 021 (ACM Trans. Graph., 2019)

Auxiliary Training: Towards Accurate and Robust Models. - Linfeng Zhang 001; Muzhou Yu; Tong Chen; Zuoqiang Shi; Chenglong Bao; Kaisheng Ma (CVPR, 2020)

Interpolation between Residual and Non-Residual Networks. - Zonghan Yang; Yang Liu 005; Chenglong Bao; Zuoqiang Shi (ICML, 2020)

Task-Oriented Feature Distillation. - Linfeng Zhang 001; Yukang Shi; Zuoqiang Shi; Kaisheng Ma; Chenglong Bao (NeurIPS, 2020)

Discontinuous Galerkin methods for the Laplace-Beltrami operator on point cloud. - Guozhi Dong; Hailong Guo; Zuoqiang Shi (CoRR, 2020)

CURE: Curvature Regularization for Missing Data Recovery. - Bin Dong 001; Haocheng Ju; Yiping Lu 001; Zuoqiang Shi (SIAM J. Imaging Sci., 2020)

EnResNet: ResNets Ensemble via the Feynman-Kac Formalism for Adversarial Defense and Beyond. - Bao Wang 001; Binjie Yuan; Zuoqiang Shi; Stanley J. Osher (SIAM J. Math. Data Sci., 2020)

An Unsupervised Deep Learning Approach for Real-World Image Denoising. - Dihan Zheng; Sia Huat Tan; Xiaowen Zhang; Zuoqiang Shi; Kaisheng Ma; Chenglong Bao (ICLR, 2021)

A Second-Order Nonlocal Approximation for Surface Poisson Model with Dirichlet Boundary. - Yajie Zhang; Zuoqiang Shi (CoRR, 2021)

Diff-ResNets for Few-shot Learning - an ODE Perspective. - Tangjun Wang; Zehao Dou; Chenglong Bao; Zuoqiang Shi (CoRR, 2021)

BINet: Learning to Solve Partial Differential Equations with Boundary Integral Networks. - Guochang Lin; Pipi Hu; Fukai Chen; Xiang Chen; Junqing Chen; Jun Wang 012; Zuoqiang Shi (CoRR, 2021)

Training Deep Neural Networks with Adaptive Momentum Inspired by the Quadratic Optimization. - Tao Sun 005; Huaming Ling; Zuoqiang Shi; Dongsheng Li 001; Bao Wang 001 (CoRR, 2021)

MAGIC: Manifold and Graph Integrative Convolutional Network for Low-Dose CT Reconstruction. - Wenjun Xia; Zexin Lu; Yongqiang Huang 003; Zuoqiang Shi; Yan Liu 052; Hu Chen 002; Yang Chen 008; Jiliu Zhou; Yi Zhang 018 (IEEE Trans. Medical Imaging, 2021)

M2N: Mesh Movement Networks for PDE Solvers. - Wenbin Song; Mingrui Zhang; Joseph G. Wallwork; Junpeng Gao; Zheng Tian 002; Fanglei Sun; Matthew D. Piggott; Junqing Chen; Zuoqiang Shi; Xiang Chen; Jun Wang 012 (NeurIPS, 2022)

Learning modified indicator functions for surface reconstruction. - Dong Xiao; Siyou Lin; Zuoqiang Shi; Bin Wang 021 (Comput. Graph., 2022)

A non-local gradient based approach of infinity Laplacian with Γ-convergence. - Weiye Gan; Xintong Liu; Yicheng Li; Zuoqiang Shi (CoRR, 2022)

Truncation Error Analysis for an Accurate Nonlocal Manifold Poisson Model with Dirichlet Boundary. - Yajie Zhang; Zuoqiang Shi (CoRR, 2022)

A nonlocal Stokes system with volume constraints. - Qiang Du; Zuoqiang Shi (CoRR, 2022)

Unsupervised Deep Learning Meets Chan-Vese Model. - Dihan Zheng; Chenglong Bao; Zuoqiang Shi; Haibin Ling; Kaisheng Ma (CoRR, 2022)

BI-GreenNet: Learning Green's functions by boundary integral network. - Guochang Lin; Fukai Chen; Pipi Hu; Xiang Chen; Junqing Chen; Jun Wang 012; Zuoqiang Shi (CoRR, 2022)

Semi-Supervised Clustering via Dynamic Graph Structure Learning. - Huaming Ling; Chenglong Bao; Xin Liang; Zuoqiang Shi (CoRR, 2022)

Few-Shot Non-Line-of-Sight Imaging with Signal-Surface Collaborative Regularization. - Xintong Liu; Jianyu Wang; Leping Xiao; Xing Fu; Lingyun Qiu; Zuoqiang Shi (CVPR, 2023)

Non-Line-of-Sight Imaging with Signal Superresolution Network. - Jianyu Wang; Xintong Liu; Leping Xiao; Zuoqiang Shi; Lingyun Qiu; Xing Fu (CVPR, 2023)

Γ-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data. - Weiye Gan; Qiang Du; Zuoqiang Shi (CoRR, 2023)

Addressing preferred orientation in single-particle cryo-EM through AI-generated auxiliary particles. - Hui Zhang; Dihan Zheng; Qiurong Wu; Nieng Yan; Zuoqiang Shi; Mingxu Hu; Chenglong Bao (CoRR, 2023)

Nonlocal diffusion model with maximum principle. - Zuoqiang Shi (CoRR, 2023)

Reconstruction of dynamical systems from data without time labels. - Zhijun Zeng; Pipi Hu; Chenglong Bao; Yi Zhu 010; Zuoqiang Shi (CoRR, 2023)

Neural Born Series Operator for Biomedical Ultrasound Computed Tomography. - Zhijun Zeng; Yihang Zheng; Youjia Zheng; Yubing Li; Zuoqiang Shi; He Sun 010 (CoRR, 2023)

Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method. - Xufeng Xiao; Xinlong Feng; Zuoqiang Shi (Comput. Math. Appl., 2023)

Surface Reconstruction from Point Clouds without Normals by Parametrizing the Gauss Formula. - Siyou Lin; Dong Xiao; Zuoqiang Shi; Bin Wang 021 (ACM Trans. Graph., 2023)

Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation. - Dong Xiao; Zuoqiang Shi; Siyu Li; Bailin Deng; Bin Wang 021 (Comput. Aided Geom. Des., 2023)

A Scalable Deep Learning Approach for Solving High-Dimensional Dynamic Optimal Transport. - Wei Wan; Yuejin Zhang; Chenglong Bao; Bin Dong 001; Zuoqiang Shi (SIAM J. Sci. Comput., 2023)

Alternately denoising and reconstructing unoriented point sets. - Dong Xiao; Zuoqiang Shi; Bin Wang 021 (Comput. Graph., 2023)

Flipping-based iterative surface reconstruction for unoriented points. - Yueji Ma; Yanzun Meng; Dong Xiao; Zuoqiang Shi; Bin Wang 021 (Comput. Aided Geom. Des., 2024)

Generalization Error Curves for Analytic Spectral Algorithms under Power-law Decay. - Yicheng Li; Weiye Gan; Zuoqiang Shi; Qian Lin (CoRR, 2024)

Winding Clearness for Differentiable Point Cloud Optimization. - Dong Xiao; Yueji Ma; Zuoqiang Shi; Shiqing Xin; Wenping Wang 001; Bailin Deng; Bin Wang 021 (CoRR, 2024)

A Second-Order Nonlocal Approximation to Manifold Poisson Models with Neumann Boundary. - Yajie Zhang; Zuoqiang Shi (CoRR, 2024)

Nonlocal Stokes equation with relaxation on the divergence free equation. - Yajie Zhang; Qiang Du 001; Zuoqiang Shi (CoRR, 2024)

Anisotropic Gauss Reconstruction for Unoriented Point Clouds. - Yueji Ma; Dong Xiao; Zuoqiang Shi; Bin Wang 021 (CoRR, 2024)

Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning. - Tangjun Wang; Chenglong Bao; Zuoqiang Shi (CoRR, 2024)

Fast and Scalable Semi-Supervised Learning for Multi-View Subspace Clustering. - Huaming Ling; Chenglong Bao; Jiebo Song; Zuoqiang Shi (CoRR, 2024)

Deep Learning with Data Privacy via Residual Perturbation. - Wenqi Tao; Huaming Ling; Zuoqiang Shi; Bao Wang 001 (CoRR, 2024)

On the implementation of linear finite element method for nonlocal diffusion model over 2D domain. - Zuoqiang Shi (CoRR, 2024)

Error analysis of conformal finite element method for nonlocal diffusion model. - Zuoqiang Shi (CoRR, 2024)

Neumann Series-based Neural Operator for Solving Inverse Medium Problem. - Ziyang Liu 001; Fukai Chen; Junqing Chen; Lingyun Qiu; Zuoqiang Shi (CoRR, 2024)

({ varGamma } )-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data. - Weiye Gan; Qiang Du 001; Zuoqiang Shi (SIAM J. Math. Anal., 2024)

Fast Non-Line-of-Sight Imaging With Hybrid Super-Resolution Network Over 18 m. - Leping Xiao; Jianyu Wang; Yi Wang; Ziyu Zhan; Zuoqiang Shi; Lingyun Qiu; Xing Fu (IEEE Trans. Computational Imaging, 2024)

Diffusion Mechanism in Residual Neural Network: Theory and Applications. - Tangjun Wang; Zehao Dou; Chenglong Bao; Zuoqiang Shi (IEEE Trans. Pattern Anal. Mach. Intell., 2024)

NSNO: Neumann Series Neural Operator for Solving Helmholtz Equations in Inhomogeneous Medium. - Fukai Chen; Ziyang Liu 001; Guochang Lin; Junqing Chen; Zuoqiang Shi (J. Syst. Sci. Complex., 2024)

Fast and Globally Consistent Normal Orientation based on the Winding Number Normal Consistency. - Siyou Lin; Zuoqiang Shi; Yebin Liu (ACM Trans. Graph., 2024)

Gradient enhanced ADMM algorithm for dynamic optimal transport on surfaces. - Guozhi Dong; Hailong Guo; Chengrun Jiang; Zuoqiang Shi (J. Comput. Phys., 2025)

Neumann series-based neural operator for solving 2D inverse medium problem. - Ziyang Liu; Fukai Chen; Junqing Chen; Lingyun Qiu; Zuoqiang Shi (J. Comput. Phys., 2025)

Neural Tangent Kernel of Neural Networks with Loss Informed by Differential Operators. - Weiye Gan; Yicheng Li; Qian Lin; Zuoqiang Shi (CoRR, 2025)

Convection-Diffusion Equation: A Theoretically Certified Framework for Neural Networks. - Tangjun Wang; Chenglong Bao; Zuoqiang Shi (IEEE Trans. Pattern Anal. Mach. Intell., 2025)

Wavelet-based Global Orientation and Surface Reconstruction for Point Clouds. - Yueji Ma; Yanzun Meng; Dong Xiao; Zuoqiang Shi; Bin Wang 021 (CoRR, 2025)

OpenBreastUS: Benchmarking Neural Operators for Wave Imaging Using Breast Ultrasound Computed Tomography. - Zhijun Zeng; Youjia Zheng; Hao Hu; Zeyuan Dong; Yihang Zheng; Xinliang Liu; Jinzhuo Wang; Zuoqiang Shi; Linfeng Zhang; Yubing Li; He Sun 010 (CoRR, 2025)

An FDM-sFEM scheme on time-space manifolds and its superconvergence analysis. - Chengrun Jiang; Guozhi Dong; Hailong Guo; Zuoqiang Shi (CoRR, 2025)

Fast and Memory-efficient Non-line-of-sight Imaging with Quasi-Fresnel Transform. - Yijun Wei; Jianyu Wang; Leping Xiao; Zuoqiang Shi; Xing Fu; Lingyun Qiu (CoRR, 2025)

When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization. - Jiangong Pan; Guozhi Dong; Hailong Guo; Zuoqiang Shi (CoRR, 2025)

In vivo 3D ultrasound computed tomography of musculoskeletal tissues with generative neural physics. - Zhijun Zeng; Youjia Zheng; Chang Su; Qianhang Wu; Hao Hu; Zeyuan Dong; Shan Gao; Yang Lv; Rui Tang; Ligang Cui; Zhiyong Hou; Weijun Lin; et al. (CoRR, 2025)