Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions. - Xin Liu 001; Zaiwen Wen; Yin Zhang 010 (SIAM J. Sci. Comput., 2013)

On the Convergence of the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory. - Xin Liu 001; Xiao Wang; Zaiwen Wen; Ya-Xiang Yuan (SIAM J. Matrix Anal. Appl., 2014)

An Efficient Gauss-Newton Algorithm for Symmetric Low-Rank Product Matrix Approximations. - Xin Liu 001; Zaiwen Wen; Yin Zhang 010 (SIAM J. Optim., 2015)

On the Analysis of the Discretized Kohn-Sham Density Functional Theory. - Xin Liu 001; Zaiwen Wen; Xiao Wang; Michael Ulbrich; Yaxiang Yuan (SIAM J. Numer. Anal., 2015)

Trace-Penalty Minimization for Large-Scale Eigenspace Computation. - Zaiwen Wen; Chao Yang 001; Xin Liu 001; Yin Zhang 010 (J. Sci. Comput., 2016)

A New First-Order Algorithmic Framework for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Xiaojun Chen 001; Ya-Xiang Yuan (SIAM J. Optim., 2018)

On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming. - Ya-Feng Liu; Xin Liu 001; Shiqian Ma (Math. Oper. Res., 2019)

Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights. - Caihua Chen; Min Li; Xin Liu 001; Yinyu Ye 001 (Math. Program., 2019)

Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2019)

Globally Convergent Levenberg-Marquardt Method for Phase Retrieval. - Chao Ma 012; Xin Liu 001; Zaiwen Wen (IEEE Trans. Inf. Theory, 2019)

Preface. - Yu-Hong Dai; Xin Liu 001; Jiawang Nie; Zaiwen Wen (Optim. Methods Softw., 2020)

Symmetric rank-1 approximation of symmetric high-order tensors. - Leqin Wu; Xin Liu 001; Zaiwen Wen (Optim. Methods Softw., 2020)

An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit. - Xiaoyin Hu; Xin Liu 001 (Sensors, 2020)

Exact Penalty Function for ℓ2, 1 Norm Minimization over the Stiefel Manifold. - Nachuan Xiao; Xin Liu 001; Ya-Xiang Yuan (SIAM J. Optim., 2021)

A Variance-Reduced Stochastic Gradient Tracking Algorithm for Decentralized Optimization with Orthogonality Constraints. - Lei Wang 224; Xin Liu 001 (CoRR, 2022)

A class of smooth exact penalty function methods for optimization problems with orthogonality constraints. - Nachuan Xiao; Xin Liu 001; Ya-Xiang Yuan (Optim. Methods Softw., 2022)

An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory. - Bin Gao 007; Guanghui Hu; Yang Kuang; Xin Liu 001 (SIAM J. Sci. Comput., 2022)

Decentralized Optimization Over the Stiefel Manifold by an Approximate Augmented Lagrangian Function. - Lei Wang 224; Xin Liu 001 (IEEE Trans. Signal Process., 2022)

Linearly Constrained Nonsmooth Optimization for Training Autoencoders. - Wei Liu 044; Xin Liu 001; Xiaojun Chen 001 (SIAM J. Optim., 2022)

A Global Optimization Approach for Multimarginal Optimal Transport Problems with Coulomb Cost. - Yukuan Hu; Huajie Chen; Xin Liu 001 (SIAM J. Sci. Comput., 2023)

A communication-efficient and privacy-aware distributed algorithm for sparse PCA. - Lei Wang 224; Xin Liu 001; Yin Zhang 010 (Comput. Optim. Appl., 2023)

Stochastic Gauss-Newton Algorithms for Online PCA. - Siyun Zhou; Xin Liu 001; Liwei Xu (J. Sci. Comput., 2023)

An Improved Unconstrained Approach for Bilevel Optimization. - Xiaoyin Hu; Nachuan Xiao; Xin Liu 001; Kim-Chuan Toh (SIAM J. Optim., 2023)

HiMOSS: A Novel High-dimensional Multi-objective Optimization Method via Adaptive Gradient-Based Subspace Sampling for Analog Circuit Sizing. - Tianchen Gu; Ruiyu Lyu; Zhaori Bi; Changhao Yan; Fan Yang 001; Dian Zhou; Tao Cui; Xin Liu 001; Zaikun Zhang; Xuan Zeng 001 (DAC, 2024)

Decentralized Stochastic Subgradient Methods for Nonsmooth Nonconvex Optimization. - Siyuan Zhang; Nachuan Xiao; Xin Liu 001 (CoRR, 2024)

A Double Tracking Method for Optimization with Decentralized Generalized Orthogonality Constraints. - Lei Wang 224; Nachuan Xiao; Xin Liu 001 (CoRR, 2024)

Adam-family Methods for Nonsmooth Optimization with Convergence Guarantees. - Nachuan Xiao; Xiaoyin Hu; Xin Liu 001; Kim-Chuan Toh (J. Mach. Learn. Res., 2024)

Dissolving Constraints for Riemannian Optimization. - Nachuan Xiao; Xin Liu 001; Kim-Chuan Toh (Math. Oper. Res., 2024)

BBGP-sDFO: Batch Bayesian and Gaussian Process Enhanced Subspace Derivative Free Optimization for High-Dimensional Analog Circuit Synthesis. - Tianchen Gu; Wangzhen Li; Aidong Zhao; Zhaori Bi; Xudong Li; Fan Yang 001; Changhao Yan; Wenchuang Walter Hu; Dian Zhou; Tao Cui; Xin Liu 001; Zaikun Zhang; et al. (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2024)

A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold. - Xin Liu 001; Nachuan Xiao; Yaxiang Yuan (J. Sci. Comput., 2024)

Seeking Consensus on Subspaces in Federated Principal Component Analysis. - Lei Wang 224; Xin Liu 001; Yin Zhang 010 (J. Optim. Theory Appl., 2024)

Multi-view anomaly detection via hybrid instance-neighborhood aligning and cross-view reasoning. - Luo Tian; Shu-Juan Peng; Xin Liu 001; Yewang Chen; Jianjia Cao (Multim. Syst., 2024)

A Graph-Partitioning Based Continuous Optimization Approach to Semi-supervised Clustering Problems. - Wei Liu 044; Xin Liu 001; Michael K. Ng 001; Zaikun Zhang (CoRR, 2025)

Learning-Rate-Free Momentum SGD with Reshuffling Converges in Nonsmooth Nonconvex Optimization. - Xiaoyin Hu; Nachuan Xiao; Xin Liu 001; Kim-Chuan Toh (J. Sci. Comput., 2025)

CDOpt: a Python package for a class of Riemannian optimization. - Nachuan Xiao; Xiaoyin Hu; Xin Liu 001; Kim-Chuan Toh (Math. Program. Comput., 2025)