Analysis of a One-Dimensional Nonlocal Quasi-Continuum Method. - Pingbing Ming; Jerry Zhijian Yang (Multiscale Model. Simul., 2009)

A multiscale coupling method for the modeling of dynamics of solids with application to brittle cracks. - Xiantao Li; Jerry Zhijian Yang; Weinan E (J. Comput. Phys., 2010)

Two-level quadratic equal-order stabilized method for the Stokes eigenvalue problem. - Zhifeng Weng; Jerry Zhijian Yang; Xiliang Lu (Int. J. Comput. Math., 2015)

Finite element approximation to the extremal eigenvalue problem for inhomogenous materials. - Kewei Liang; Xiliang Lu; Jerry Zhijian Yang (Numerische Mathematik, 2015)

An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate. - Qiong-Ao Huang; Wei Jiang 008; Jerry Zhijian Yang (J. Comput. Phys., 2019)

Robust Decoding from Binary Measurements with Cardinality Constraint Least Squares. - Zhao Ding; Junjun Huang; Yuling Jiao; Xiliang Lu; Jerry Zhijian Yang (CoRR, 2020)

Generative Learning With Euler Particle Transport. - Yuan Gao 044; Jian Huang 003; Yuling Jiao; Jin Liu 011; Xiliang Lu; Jerry Zhijian Yang (CoRR, 2020)

Deep Generative Learning via Euler Particle Transport. - Yuan Gao 044; Jian Huang 003; Yuling Jiao; Jin Liu 011; Xiliang Lu; Jerry Zhijian Yang (MSML, 2021)

Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality on Hölder Class. - Yuling Jiao; Yanming Lai; Xiliang Lu; Jerry Zhijian Yang (CoRR, 2021)

Convergence Rate Analysis for Deep Ritz Method. - Chenguang Duan; Yuling Jiao; Yanming Lai; Xiliang Lu; Jerry Zhijian Yang (CoRR, 2021)

Convergence Analysis for the PINNs. - Yuling Jiao; Yanming Lai; Dingwei Li; Xiliang Lu; Yang Wang; Jerry Zhijian Yang (CoRR, 2021)

Analysis of Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Conditions. - Chenguang Duan; Yuling Jiao; Yanming Lai; Xiliang Lu; Qimeng Quan; Jerry Zhijian Yang (CoRR, 2021)

Finite Temperature Cauchy-Born Rule and Stability of Crystalline Solids with Point Defects. - Tao Luo 012; Yang Xiang 002; Jerry Zhijian Yang (Multiscale Model. Simul., 2021)

Upwind-SAV approach for constructing bound-preserving and energy-stable schemes of the Cahn-Hilliard equation with degenerate mobility. - Qiong-Ao Huang; Wei Jiang 008; Jerry Zhijian Yang; Cheng Yuan (CoRR, 2022)

Stability and convergence analysis of high-order numerical schemes with DtN-type absorbing boundary conditions for nonlocal wave equations. - Jihong Wang; Jerry Zhijian Yang; Jiwei Zhang 002 (CoRR, 2022)

Fast Excess Risk Rates via Offset Rademacher Complexity. - Chenguang Duan; Yuling Jiao; Lican Kang; Xiliang Lu; Jerry Zhijian Yang (ICML, 2023)

Linear multi-step methods and their numerical stability for solving gradient flow equations. - Qiong-Ao Huang; Wei Jiang 008; Jerry Zhijian Yang; Gengen Zhang (Adv. Comput. Math., 2023)

GAS: A Gaussian Mixture Distribution-Based Adaptive Sampling Method for PINNs. - Yuling Jiao; Di Li; Xiliang Lu; Jerry Zhijian Yang; Cheng Yuan (CoRR, 2023)

Current density impedance imaging with PINNs. - Chenguang Duan; Yuling Jiao; Xiliang Lu; Jerry Zhijian Yang (CoRR, 2023)

Provable Advantage of Parameterized Quantum Circuit in Function Approximation. - Zhan Yu; Qiuhao Chen; Yuling Jiao; Yinan Li; Xiliang Lu; Xin Wang; Jerry Zhijian Yang (CoRR, 2023)

Deep Neural Networks with ReLU-Sine-Exponential Activations Break Curse of Dimensionality in Approximation on Hölder Class. - Yuling Jiao; Yanming Lai; Xiliang Lu; Fengru Wang; Jerry Zhijian Yang; Yuanyuan Yang (SIAM J. Math. Anal., 2023)

Global Optimization via Schrödinger-Föllmer Diffusion. - Yin Dai; Yuling Jiao; Lican Kang; Xiliang Lu; Jerry Zhijian Yang (SIAM J. Control. Optim., 2023)

A Structure-Preserving, Upwind-SAV Scheme for the Degenerate Cahn-Hilliard Equation with Applications to Simulating Surface Diffusion. - Qiong-Ao Huang; Wei Jiang 008; Jerry Zhijian Yang; Cheng Yuan (J. Sci. Comput., 2023)

Selecting Effective Triplet Contrastive Loss for Domain Alignment. - Changshi Li; Jerry Zhijian Yang (ICIC (3), 2024)

Non-asymptotic Approximation Error Bounds of Parameterized Quantum Circuits. - Zhan Yu; Qiuhao Chen; Yuling Jiao; Yinan Li; Xiliang Lu; Xin Wang; Jerry Zhijian Yang (NeurIPS, 2024)

A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model. - Jihong Wang; Yana Di; Jerry Zhijian Yang; Jiwei Zhang 002 (Comput. Math. Appl., 2024)

Semi-Supervised Deep Sobolev Regression: Estimation, Variable Selection and Beyond. - Zhao Ding; Chenguang Duan; Yuling Jiao; Jerry Zhijian Yang (CoRR, 2024)

Deep Conditional Generative Learning: Model and Error Analysis. - Jinyuan Chang; Zhao Ding; Yuling Jiao; Ruoxuan Li; Jerry Zhijian Yang (CoRR, 2024)

A Stabilized Physics Informed Neural Networks Method for Wave Equations. - Yuling Jiao; Yuhui Liu; Jerry Zhijian Yang; Cheng Yuan (CoRR, 2024)

Characteristic Learning for Provable One Step Generation. - Zhao Ding; Chenguang Duan; Yuling Jiao; Ruoxuan Li; Jerry Zhijian Yang; Pingwen Zhang (CoRR, 2024)

Solving the inverse source problem of the fractional Poisson equation by MC-fPINNs. - Rui Sheng; Peiying Wu; Jerry Zhijian Yang; Cheng Yuan (CoRR, 2024)

DRM Revisited: A Complete Error Analysis. - Yuling Jiao; Ruoxuan Li; Peiying Wu; Jerry Zhijian Yang; Pingwen Zhang (CoRR, 2024)

Unsupervised Transfer Learning via Adversarial Contrastive Training. - Chenguang Duan; Yuling Jiao; Huazhen Lin; Wensen Ma; Jerry Zhijian Yang (CoRR, 2024)

Deep Transfer Learning: Model Framework and Error Analysis. - Yuling Jiao; Huazhen Lin; Yuchen Luo; Jerry Zhijian Yang (CoRR, 2024)

Nonlinear Assimilation with Score-based Sequential Langevin Sampling. - Zhao Ding; Chenguang Duan; Yuling Jiao; Jerry Zhijian Yang; Cheng Yuan; Pingwen Zhang (CoRR, 2024)

A weighted scalar auxiliary variable method for solving gradient flows: bridging the nonlinear energy-based and Lagrange multiplier approaches. - Qiong-Ao Huang; Wei Jiang 008; Jerry Zhijian Yang; Cheng Yuan (CoRR, 2024)

A Gaussian mixture distribution-based adaptive sampling method for physics-informed neural networks. - Yuling Jiao; Di Li; Xiliang Lu; Jerry Zhijian Yang; Cheng Yuan (Eng. Appl. Artif. Intell., 2024)

An error analysis for deep binary classification with sigmoid loss. - Changshi Li; Yuling Jiao; Jerry Zhijian Yang (Inf. Sci., 2024)

Current density impedance imaging with PINNs. - Chenguang Duan; Junjun Huang; Yuling Jiao; Xiliang Lu; Jerry Zhijian Yang (J. Comput. Appl. Math., 2024)

Sparse Membership Affinity Lasso for Fuzzy Clustering. - Junjun Huang; Xiliang Lu; Jerry Zhijian Yang (IEEE Trans. Fuzzy Syst., 2024)

Freehand Interaction With Visual Control and Haptic Feedback in Electromagnetically Assisted Interventional Surgery. - Xutian Deng; Jianhui Zhao 001; Zhiyong Yuan; Miao Li 002; Bo Du 001; Jerry Zhijian Yang (IEEE Internet Things J., 2024)

Convergence analysis of deep Ritz method with over-parameterization. - Zhao Ding; Yuling Jiao; Xiliang Lu; Peiying Wu; Jerry Zhijian Yang (Neural Networks, 2025)

Deep contrastive representation learning for supervised tasks. - Chenguang Duan; Yuling Jiao; Lican Kang; Jerry Zhijian Yang; Fusheng Zhou (Pattern Recognit., 2025)

Approximate Policy Iteration With Deep Minimax Average Bellman Error Minimization. - Lican Kang; Yuhui Liu; Yuan Luo; Jerry Zhijian Yang; Han Yuan; Chang Zhu (IEEE Trans. Neural Networks Learn. Syst., 2025)

Semi-Supervised Deep Sobolev Regression: Estimation and Variable Selection by ReQU Neural Network. - Zhao Ding; Chenguang Duan; Yuling Jiao; Jerry Zhijian Yang (IEEE Trans. Inf. Theory, 2025)

CRPE: Expanding The Reasoning Capability of Large Language Model for Code Generation. - Ningxin Gui; Qianghuai Jia; Feijun Jiang; Yuling Jiao; Dechun Wang; Jerry Zhijian Yang (CoRR, 2025)

Robust Fuzzy Local K-Plane Clustering With Mixture Distance of Hinge Loss and $L_{1}$L1 Norm. - Junjun Huang; Xiliang Lu; Xuelin Xie; Jerry Zhijian Yang (IEEE Trans. Knowl. Data Eng., 2025)

A weaker adversarial neural networks method for linear second order elliptic PDEs. - Zhizhong Kong; Rui Sheng; Jerry Zhijian Yang; Juntao You; Cheng Yuan (Comput. Math. Appl., 2026)