Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. - Xiliang Lu; Ping Lin 001; Jian-Guo Liu 006 (Math. Comput., 2008)

Long Time Numerical Solution of the Navier–Stokes Equations Based on a Sequential Regularization Formulation. - Ping Lin 001; Jian-Guo Liu 006; Xiliang Lu (SIAM J. Sci. Comput., 2008)

Error estimate of the P1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations. - Xiliang Lu; Ping Lin 001 (Numerische Mathematik, 2010)

Optimal Control for an Elliptic System with Polygonal State Constraints. - Karl Kunisch; Kewei Liang; Xiliang Lu (SIAM J. Control. Optim., 2010)

Numerical identification of a Robin coefficient in parabolic problems. - Bangti Jin; Xiliang Lu (Math. Comput., 2012)

Optimal control for elliptic systems with pointwise euclidean norm constraints on the controls. - Karl Kunisch; Xiliang Lu (Math. Program., 2013)

A Primal Dual Active Set with Continuation Algorithm for the ell^0-Regularized Optimization Problem. - Yuling Jiao; Bangti Jin; Xiliang Lu (CoRR, 2014)

A Primal Dual Active Set Algorithm With Continuation for Compressed Sensing. - Qibin Fan; Yuling Jiao; Xiliang Lu (IEEE Trans. Signal Process., 2014)

Numerical identification of a sparse Robin coefficient. - Zhiyuan Sun; Yuling Jiao; Bangti Jin; Xiliang Lu (Adv. Comput. Math., 2015)

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)

A simple finite element method for boundary value problems with a Riemann-Liouville derivative. - Bangti Jin; Raytcho D. Lazarov; Xiliang Lu; Zhi Zhou 002 (J. Comput. Appl. Math., 2016)

An Alternating Direction Method with Continuation for Nonconvex Low Rank Minimization. - Zheng-Fen Jin; Zhongping Wan; Yuling Jiao; Xiliang Lu (J. Sci. Comput., 2016)

Alternating Direction Method of Multipliers for Linear Inverse Problems. - Yuling Jiao; Qinian Jin; Xiliang Lu; Weijie Wang (SIAM J. Numer. Anal., 2016)

Stripe Noise Separation and Removal in Remote Sensing Images by Consideration of the Global Sparsity and Local Variational Properties. - Xinxin Liu 002; Xiliang Lu; Huanfeng Shen; Qiangqiang Yuan; Yuling Jiao; Liangpei Zhang 001 (IEEE Trans. Geosci. Remote. Sens., 2016)

Computation of Time Optimal Control Problems Governed by Linear Ordinary Differential Equations. - Xiliang Lu; Lijuan Wang; Qishu Yan (J. Sci. Comput., 2017)

Iterative Soft/Hard Thresholding With Homotopy Continuation for Sparse Recovery. - Yuling Jiao; Bangti Jin; Xiliang Lu (IEEE Signal Process. Lett., 2017)

Group Sparse Recovery via the ℓ0(ℓ2) Penalty: Theory and Algorithm. - Yuling Jiao; Bangti Jin; Xiliang Lu (IEEE Trans. Signal Process., 2017)

Oblique Stripe Removal in Remote Sensing Images via Oriented Variation. - Xinxin Liu 002; Xiliang Lu; Huanfeng Shen; Qiangqiang Yuan; Liangpei Zhang 001 (CoRR, 2018)

SNAP: A semismooth Newton algorithm for pathwise optimization with optimal local convergence rate and oracle properties. - Jian Huang 003; Yuling Jiao; Xiliang Lu; Yueyong Shi; Qinglong Yang (CoRR, 2018)

A Constructive Approach to $L_0$ Penalized Regression. - Jian Huang 003; Yuling Jiao; Yanyan Liu; Xiliang Lu (J. Mach. Learn. Res., 2018)

Robust Decoding from 1-Bit Compressive Sampling with Ordinary and Regularized Least Squares. - Jian Huang 003; Yuling Jiao; Xiliang Lu; Liping Zhu (SIAM J. Sci. Comput., 2018)

A Universal Destriping Framework Combining 1-D and 2-D Variational Optimization Methods. - Xinxin Liu 002; Huanfeng Shen; Qiangqiang Yuan; Xiliang Lu; Chunping Zhou (IEEE Trans. Geosci. Remote. Sens., 2018)

Robust Nonconvex Nonnegative Low-rank Representation. - Yin-Ping Zhao; Xiliang Lu; Long Chen 001; Jinyu Tian 001; C. L. Philip Chen (iFUZZY, 2019)

A stochastic alternating minimizing method for sparse phase retrieval. - Jianfeng Cai 001; Yuling Jiao; Xiliang Lu; Juntao You (CoRR, 2019)

A Nonconvex Model with Minimax Concave Penalty for Image Restoration. - Juntao You; Yuling Jiao; Xiliang Lu; Tieyong Zeng (J. Sci. Comput., 2019)

A Support Detection and Root Finding Approach for Learning High-dimensional Generalized Linear Models. - Jian Huang 003; Yuling Jiao; Lican Kang; Jin Liu 011; Yanyan Liu; Xiliang Lu (CoRR, 2020)

Sparse Signal Recovery From Phaseless Measurements via Hard Thresholding Pursuit. - Jian-Feng Cai 001; Jingzhi Li; Xiliang Lu; Juntao You (CoRR, 2020)

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)

Membership Affinity Lasso for Fuzzy Clustering. - Li Guo 016; Long Chen 001; Xiliang Lu; C. L. Philip Chen (IEEE Trans. Fuzzy Syst., 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)

Coordinate Descent for MCP/SCAD Penalized Least Squares Converges Linearly. - Yuling Jiao; Dingwei Li; Min Liu; Xiliang Lu (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)

Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2022)

Imaging Conductivity from Current Density Magnitude using Neural Networks. - Bangti Jin; Xiyao Li; Xiliang Lu (CoRR, 2022)

Efficient and practical quantum compiler towards multi-qubit systems with deep reinforcement learning. - Qiuhao Chen; Yuxuan Du; Qi Zhao; Yuling Jiao; Xiliang Lu; Xingyao Wu (CoRR, 2022)

Stochastic mirror descent method for linear ill-posed problems in Banach spaces. - Qinian Jin; Xiliang Lu; Liuying Zhang (CoRR, 2022)

A data-driven line search rule for support recovery in high-dimensional data analysis. - Peili Li; Yuling Jiao; Xiliang Lu; Lican Kang (Comput. Stat. Data Anal., 2022)

GSDAR: a fast Newton algorithm for ℓ 0 regularized generalized linear models with statistical guarantee. - Jian Huang 003; Yuling Jiao; Lican Kang; Jin Liu 011; Yanyan Liu; Xiliang Lu (Comput. Stat., 2022)

PSNA: A pathwise semismooth Newton algorithm for sparse recovery with optimal local convergence and oracle properties. - Jian Huang 003; Yuling Jiao; Xiliang Lu; Yueyong Shi; Qinglong Yang; Yuanyuan Yang (Signal Process., 2022)

One-Step High-Quality NDVI Time-Series Reconstruction by Joint Modeling of Gradual Vegetation Change and Negatively Biased Atmospheric Contamination. - Xinxin Liu 002; Huanfeng Shen; Qiangqiang Yuan; Xiliang Lu; Shutao Li (IEEE Trans. Geosci. Remote. Sens., 2022)

Sample-Efficient Sparse Phase Retrieval via Stochastic Alternating Minimization. - Jian-Feng Cai 001; Yuling Jiao; Xiliang Lu; Juntao You (IEEE Trans. Signal Process., 2022)

Imaging Anisotropic Conductivities from Current Densities. - Huan Liu; Bangti Jin; Xiliang Lu (SIAM J. Imaging Sci., 2022)

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

Invariant and Sufficient Supervised Representation Learning. - Junyu Zhu; Xu Liao; Changshi Li; Yuling Jiao; Jin Liu 011; Xiliang Lu (IJCNN, 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)

Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension. - Yuling Jiao; Dingwei Li; Min Liu; Xiliang Lu; Yuanyuan Yang (J. Sci. Comput., 2023)

Correction to: Just Least Squares: Binary Compressive Sampling with Low Generative Intrinsic Dimension. - Yuling Jiao; Dingwei Li; Min Liu; Xiliang Lu; Yuanyuan Yang (J. Sci. Comput., 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)

Neural Network Approximation for Pessimistic Offline Reinforcement Learning. - Di Wu; Yuling Jiao; Li Shen 008; Haizhao Yang; Xiliang Lu (AAAI, 2024)

Take Care of Your Prompt Bias! Investigating and Mitigating Prompt Bias in Factual Knowledge Extraction. - Ziyang Xu; Keqin Peng; Liang Ding 006; Dacheng Tao; Xiliang Lu (LREC/COLING, 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)

On the robustness of double-word addition algorithms. - Yuanyuan Yang; XinYu Lyu; Sida He; Xiliang Lu; Ji Qi; Zhihao Li (CoRR, 2024)

Numerical Recovery of the Diffusion Coefficient in Diffusion Equations from Terminal Measurement. - Bangti Jin; Xiliang Lu; Qimeng Quan; Zhi Zhou 002 (CoRR, 2024)

Accelerating Ill-conditioned Hankel Matrix Recovery via Structured Newton-like Descent. - HanQin Cai; Longxiu Huang; Xiliang Lu; Juntao You (CoRR, 2024)

Quantum Compiling with Reinforcement Learning on a Superconducting Processor. - Z. T. Wang; Qiuhao Chen; Yuxuan Du; Z. H. Yang; Xiaoxia Cai; Kaixuan Huang; Jingning Zhang; Kai Xu; Jun Du; Yinan Li; Yuling Jiao; Xingyao Wu; et al. (CoRR, 2024)

GraHTP: A Provable Newton-like Algorithm for Sparse Phase Retrieval. - Licheng Dai; Xiliang Lu; Juntao You (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)

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

Deep Ritz Method for Elliptical Multiple Eigenvalue Problems. - Xia Ji 001; Yuling Jiao; Xiliang Lu; Pengcheng Song; Fengru Wang (J. Sci. Comput., 2024)

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

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

On early stopping of stochastic mirror descent method for ill-posed inverse problems. - Jing Huang; Qinian Jin; Xiliang Lu; Liuying Zhang (Numerische Mathematik, 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)