Publications
Selected Recent Technical Reports
Daoli Zhu, Lei Zhao and Shuzhong Zhang, A Unified Analysis for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions, 2023. arXiv:2308.16362
Casey Garner, Gilad Lerman and Shuzhong Zhang, Spectrally Constrained Optimization, 2023. arXiv:2307.04069
Lei Zhao, Daoli Zhu and Shuzhong Zhang, An Augmented Lagrangian Approach to Conically Constrained Non-monotone Variational Inequality Problems, 2023. arXiv:2306.01214
Nuozhou Wang, Junyu Zhang and Shuzhong Zhang, Near-Optimal First Order Method for Saddle Point Problems with Higher Order Smoothness, 2023. arXiv:2304.12453
Kevin Huang and Shuzhong Zhang, Beyond Monotone Variational Inequalities: Solution Methods and Iteration Complexities, 2023. arXiv:2304.04153
Kevin Huang, Nuozhou Wang and Shuzhong Zhang, An Accelerated Variance Reduced Extra-Point Approach to Finite-Sum VI and Optimization, 2022. arXiv:2211.03269
Kevin Huang and Shuzhong Zhang, An Approximation-Based Regularized Extra-Gradient Method for Monotone Variational Inequalities, 2022. arXiv:2210.04440
Casey Garner, Gilad Lerman and Shuzhong Zhang, Cubic-Regularized Newton for Spectral Constrained Matrix Optimization and its Application to Fairness, 2022. arXiv2209.01229
Wentao Ding, Jianze Li and Shuzhong Zhang, Projectively and Weakly Simultaneously Diagonalizable Matrices and Their Applications, 2022. arXiv2205.13245
Nuozhou Wang and Shuzhong Zhang, A Gradient Complexity Analysis for Minimizing the Sum of Strongly Convex Functions with Varying Condition Numbers, 2022. arXiv2208.06524
Junyu Zhang, Mendi Wang, Mingyi Hong, and Shuzhong Zhang, Primal-Dual First-Order Methods for Affinely Constrained Multi-Block Saddle Point Problems, 2021. arXiv2109.14212
Casey Garner and Shuzhong Zhang, Linearly-Convergent FISTA Variant for Composite Optimization with Duality, 2021. arXiv2107.08281
Ioannis Tsaknakis, Mingyi Hong, and Shuzhong Zhang, Minimax Problems with Coupled Linear Constraints: Computational Complexity, Duality and Solution Methods, 2021. arXiv2110.11210
Kevin Huang and Shuzhong Zhang, A Unifying Framework of Accelerated First-Order Approach to Strongly Monotone Variational Inequalities, 2021. arXiv2103.15270
Derek Singh and Shuzhong Zhang, Distributionally Robust Newsvendor with Moment Constraints, 2020. arXiv2010.16369
Daoli Zhu, Lei Zhao, and Shuzhong Zhang, A First-Order Primal-Dual Method for Nonconvex Constrained Optimization Based On the Augmented Lagrangian, 2020. arXiv2007.12219
Jianze Li and Shuzhong Zhang, Polar Decomposition-based Algorithms on the Product of Stiefel Manifolds wit Applications in Tensor Approximation, 2019. arXiv1912.10390
Selected Recent Journal Papers
Kevin Huang and Shuzhong Zhang, New First-Order Algorithms for Stochastic Variational Inequalities, SIAM Journal on Optimization 32 (4), 2745 - 2772, 2022. [Link]
Hans Frenk, Joaquim Gromicho and Shuzhong Zhang, Quasiconvex Functions: How to Separate, If You Must! Studia UBB Math, 67 (1), 105 - 128, 2022 (Special Issue In Memory of Professor Gábor Kassay). [Link]
Junyu Zhang, Mingyi Hong, and Shuzhong Zhang, On Lower Iteration Complexity Bounds for the Saddle Point Problems, Mathematical Programming, 194, 901 – 935, 2022. [Link]
Xi Chen, Bo Jiang, Tianyi Lin and Shuzhong Zhang, Accelerating Adaptive Cubic Regularization of Newton’s Method via Random Sampling, Journal of Machine Learning Research, 23 (90), 1 – 38, 2022. [Link]
Kevin Huang, Junyu Zhang and Shuzhong Zhang, Cubic Regularized Newton Method for Saddle Point Models: a Global and Local Convergence Analysis, Journal of Scientific Computing, 91 (2), 1 – 31, 2022. [Link]
Derek Singh and Shuzhong Zhang, Tight Bounds for a Class of Data-Driven Distributionally Robust Risk Measures, Applied Mathematics & Optimization, 85, 1 – 41, 2022. [Link]
Wenye Li and Shuzhong Zhang, Binary Random Projections with Controllable Sparsity Patterns, Journal of Operations Research Society of China, 10, 507 – 528, 2022. [Link]
Junyu Zhang, Lin Xiao, and Shuzhong Zhang, Adaptive Stochastic Variance Reduction for Subsampled Newton Method with Cubic Regularization, INFORMS Journal on Optimization, 4 (1), 45 – 64, 2021. [Link]
Bo Jiang, Haoyue Wang, and Shuzhong Zhang, An Optimal High-Order Tensor Method for Convex Optimization, Mathematics of Operations Research, 46 (4), 1390 - 1412, 2021. [Link]
Derek Singh and Shuzhong Zhang, Robust Arbitrage Conditions for Financial Markets, Operations Research Forum, article number 34, 2021. [Link]
Derek Singh and Shuzhong Zhang, Distributionally Robust Profit Opportunities, Operations Research Letters, 49 (1), 121 – 128, 2021. [Link]
Tianyi Lin, Shiqian Ma, Yinyu Ye, and Shuzhong Zhang, An ADMM-Based Interior-Point Method for Large-Scale Linear Programming, Optimization Methods and Software, 36 (2-3), 389 – 424, 2021. [Link]
Bo Jiang, Tianyi Lin, and Shuzhong Zhang, A Unified Scheme to Accelerate Adaptive Cubic Regularization and Gradient Methods for Convex Optimization, SIAM Journal on Optimization, 30 (4), 2897 – 2926, 2020. [Link]
Derek Singh and Shuzhong Zhang, Distributionally Robust XVA via Wasserstein Distance: Wrong Way Counterparty Credit and Funding Risk, Applied Economics and Finance, 7 (6), 70 – 100, 2020. [arXiv]
Junyu Zhang, Shiqian Ma, and Shuzhong Zhang, Primal-Dual Optimization Algorithms over Riemannian Manifolds: an Iteration Complexity Analysis, Mathematical Programming, 184, 445 - 490, 2020. [Link]
Xiang Gao, Yangyang Xu, and Shuzhong Zhang, Randomized Primal-Dual Proximal Block Coordinate Updates, Journal of the Operations Research Society of China, 7 (2), 205 – 250, 2019. [Link]
Cheng Lu, Yafeng Liu, Weiqiang Zhang, and Shuzhong Zhang, Tightness of a New and Enhanced Semidefinite Relaxation for MIMO Detection, SIAM Journal on Optimization, 29 (1), 719 – 742, 2019. [Link]
Bo Jiang, Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, Structured Nonconvex and Nonsmooth Optimization: Algorithms and Iteration Complexity Analysis, Computational Optimization and Applications, 72, 115 - 157, 2019. [Link]
Bo Jiang, Shiqian Ma, and Shuzhong Zhang, Low-M-Rank Tensor Completion and Robust Tensor PCA, IEEE Journal of Selected Topics in Signal Processing 12 (6), 1390 – 1404, 2018. [Link]
Junyu Zhang, Haoyang Liu, Zaiwen Wen, and Shuzhong Zhang, A Sparse Completely Positive Relaxation of the Modularity Maximization for Community Detection, SIAM Journal of Scientific Computing, 40 (5), A3091-A3120, 2018. [arXiv]
Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems, SIAM Journal on Scientific Computing, 76, 69 - 88, 2018. [Link]
Jason Causey, Junyu Zhang, Shiqian Ma, Bo Jiang, Jake Qualls, David Politte, Fred Prior, Shuzhong Zhang, and Xiuzhen Huang, Highly Accurate Model for Prediction of Lung Nodule Malignancy with CT Scans, Scientific Reports, 8:9286, DOI:10.1038/s41598-018-27569-w, 2018. [Link]
Xiang Gao, Bo Jiang, and Shuzhong Zhang, On the Information-Adaptive Variants of the ADMM: an Iteration Complexity Perspective, Journal of Scientific Computing 76 (1), 327 – 363, 2018. [Link]
Yangyang Xu and Shuzhong Zhang, Accelerated Primal-Dual Proximal Block Coordinate Updating Methods for Constrained Convex Optimization, Computational Optimization and Applications, 70 (1), 91 - 128, 2018. [arXiv]
Bo Jiang, Fan Yang, and Shuzhong Zhang, Tensor and Its Tucker Core: the Invariance Relationships, Numerical Linear Algebra with Applications, 24 (3), 2017. DOI: 10.1002/nla.2086. [Link]
Bo Jiang, Zhening Li, and Shuzhong Zhang, On Cones of Nonnegative Quartic Forms, Foundations of Computational Mathematics, 17, 161 – 197, 2017. [Link]
Xiang Gao and Shuzhong Zhang, First-Order Algorithms for Convex Optimization with Nonseparate Objective and Coupled Constraints, Journal of Operations Research Society of China, 5 (2), 131 - 159, 2017. [Link]
Bilian Chen, Simai He, Zhening Li, and Shuzhong Zhang, On New Classes of Nonnegative Symmetric Tensors, SIAM Journal on Optimization, 27 (1), 292 – 318, 2017. [Link]
Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, An Extragradient-Based Alternating Direction Method for Convex Minimization, Foundations of Computational Mathematics, 17, 35 – 59, 2017. [arXiv]
Bo Jiang, Shiqian Ma, Jason Causey, Linbo Qiao, Matthew Hardin, Ian Bitts, Daniel Johnson, Shuzhong Zhang, and Xiuzhen Huang, SparRec: An effective matrix completion framework of missing data imputation for GWAS, Scientific Reports, 6, Article Number: 35534 (2016). [Link]
Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, Iteration Complexity Analysis of Multi-Block ADMM for a Family of Convex Minimization without Strong Convexity, Journal of Scientific Computing, 69 (1), 52 – 81, 2016. [Link]
Shaozhe Tao, Dan Boley, and Shuzhong Zhang, Local Linear Convergence of ISTA and FISTA on the LASSO Problem, SIAM Journal on Optimization, 26 (1), 313 - 336, 2016. [Link]
Bo Jiang, Zhening Li, and Shuzhong Zhang, Characterizing Real-Valued Multivariate Complex Polynomials and Their Symmetric Tensor Representations, SIAM Journal on Matrix Analysis and Applications, 37 (1), 381 - 408, 2016. [Link]
Shiqian Ma, Daniel Johnson, Cody Ashby, Donghai Xiong, Carole Cramer, Jason Moore, Shuzhong Zhang, and Xiuzhen Huang, SPARCoC: a new framework for molecular pattern discovery and cancer gene identification, PLOS ONE, 10 (3), 2015. [Link]
Yafeng Liu, Shiqian Ma, Yuhong Dai, and Shuzhong Zhang, A Smoothing SQP Framework for a Class of Composite $L_q$ Minimization over Polyhedron, Mathematical Programming, 158 (1-2), 467 – 500, 2016. [Link]
Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, On the Global Linear Convergence of the ADMM with Multi-Block Variables, SIAM Journal on Optimization, 25 (3), 1478 - 1497, 2015. [Link]
Tianyi Lin, Shiqian Ma, and Shuzhong Zhang, On the Sublinear Convergence Rate of Multi-block ADMM, Journal of Operations Research Society of China, 3 (3), 251 - 274, 2015. [Link]
Bo Jiang, Shiqian Ma, and Shuzhong Zhang, Alternating Direction Method of Multipliers for Real and Complex Polynomial Optimization Models, Optimization, 63 (6), 883 – 898, 2014. [Link]
Bilian Chen, Zhening Li, and Shuzhong Zhang, On Tensor Tucker Decomposition: the Case for an Adjustable Core Size, Journal of Global Optimization 62 (4), 811 – 832, 2015. [PDF]
Zhening Li, Andre Uschmajew, and Shuzhong Zhang, On Convergence Analysis of the Maximum Block Improvement Method, SIAM Journal on Optimization, 25 (1), 210 - 233, 2015. [Link]
Bo Jiang, Zhening Li, and Shuzhong Zhang, Approximation Methods for Complex Polynomial Optimization, Computational Optimization and Applications, 59 (1), 219 – 248, 2014. [Link]
Bo Jiang, Shiqian Ma, and Shuzhong Zhang, Tensor Principal Component Analysis via Convex Optimization, Mathematical Programming, 150, 423 – 457, 2015. [Link]
Bo Jiang, Zhening Li, and Shuzhong Zhang, On Cones of Nonnegative Quartic Forms, Foundations of Computational Mathematics, 17, 161 – 197, 2017. [Link]
Simai He, Bo Jiang, Zhening Li, and Shuzhong Zhang, Moments Tensors, Hilbert's Identity, and $k$-wise Uncorrelated Random Variables, Mathematics of Operations Research, 39 (3), 775 - 788, 2014. [Link]
Man-Hong Wong and Shuzhong Zhang, On Distributional Robust Probability Functions and Their Computations, European Journal of Operational Research, 233, 23 - 33, 2014. [Link]
Simai He, Bo Jiang, Zhening Li, and Shuzhong Zhang, Probability Bounds for Polynomial Functions in Random Variables, Mathematics of Operations Research, 39 (3), 889 - 907, 2014. [Link]
Ilker Birbil, Hans Frenk, Joaquim Gromicho, and Shuzhong Zhang, A Network Airline Revenue Management Framework Based on Decomposition by Origins and Destinations, Transportation Science, 48 (3), 313 - 333, 2014. [Link]
Simai He, Zhening Li, and Shuzhong Zhang, General Constrained Polynomial Optimization: an Approximation Approach, Mathematics of Computation, S 0025-5718(2014)02875-5, 2014. [PDF]
Augusto Aubry, Antonio De Maio, Bo Jiang, and Shuzhong Zhang, Ambiguity Function Shaping for Cognitive Radar Via Complex Quartic Optimization, IEEE Transaction on Signal Processing, 61, 5603 - 5619, 2013. [Link]
Man-Hong Wong and Shuzhong Zhang, Computing Best Bounds for Nonlinear Risk Measures with Partial Information, Insurance: Mathematics and Economics, 52 (2), 204 - 212, 2013. [Link]
Simai He, Zhening Li, and Shuzhong Zhang, Approximation Algorithms for Discrete Polynomial Optimization, Journal of Operations Research Society of China, 1, 3 - 36, 2013. [Link]
Xin Chen, Jiming Peng, and Shuzhong Zhang, Existence of Sparse Solutions to the Standard Quadratic Programming with Random Matrices, Mathematical Programming, 141, 273 - 293, 2013. [Link]
Simai He, Xiaoguo Wang, and Shuzhong Zhang, On a Competitive Revenue Maximization Game, Journal of Global Optimization, 56 (40), 1335 - 1345, 2013. [PDF]
Simai He, Jiawei Zhang, and Shuzhong Zhang, Polymatroid Optimization, Submodularity, and Joint Replenishment Games, Operations Research, 60 (1), 128 - 137, 2012. [Link]
Yongwei Huang, Qiang Li, Win-Kin Ma, and Shuzhong Zhang, Robust Multicast Beamforming for Spectrum Sharing-based Cognitive Radios, IEEE Transaction on Signal Processing, 60 (1), 527 - 533, 2012. [Link]
Bilian Chen, Simai He, Zhening Li, and Shuzhong Zhang, Maximum Block Improvement and Polynomial Optimization, SIAM Journal on Optimization, 22, 87 - 107, 2012. [Link]
Antonio De Maio, Yongwei Huang, Marco Piezzo, Shuzhong Zhang, and Alfonso Farina, Design of Optimized Radar Codes with a Peak to Average Power Ratio Constraint, IEEE Transactions on Signal Processing, 59 (6), 2683 -- 2697, 2011. [Link]
Antonio De Maio, Yongwei Huang, Daniel Palomar, Shuzhong Zhang, and Alfonso Farina, Fractional QCQP with Applications in ML Steering Direction Estimation for Radar Detection, IEEE Transactions on Signal Processing, 59 (1), 172 - 185, 2011. [Link]
Li Chen, Simai He, and Shuzhong Zhang, When All Risk-Adjusted Performance Measures Are the Same: In Praise of the Sharpe Ratio, Quantitative Finance, 11 (10), 1439 - 1447, 2011. [Link]
Li Chen, Simai He, and Shuzhong Zhang, Tight Bounds for Some Risk Measures, with Applications to Robust Portfolio Selection, Operations Research, 59 (4), 847 - 865, 2011. [Link]
Wenbao Ai, Yongwei Huang, and Shuzhong Zhang, New Results on Hermitian Matrix Rank-One Decomposition, Mathematical Programming, Ser. A, 128, 253 - 283, 2011. [Link]
Selected Past Journal Papers
Simai He, Zhening Li, and Shuzhong Zhang, Approximation Algorithms for Homogeneous Polynomial Optimization with Quadratic Constraints, Mathematical Programming, Ser. B, 125, 353 - 383, 2010. [PDF]
Yongwei Huang and Shuzhong Zhang, Approximation Algorithms for Indefinite Complex Quadratic Maximization Problems, SCIENCE CHINA Mathematics, 53 (10) 2697 - 2708, 2010. [PDF]
Zhi-Quan Luo, Wing-Kin Ma, Anthony Man-Cho So, Yinyu Ye, and Shuzhong Zhang, Semidefinite Relaxation of Quadratic Optimization Problems, IEEE Signal Processing Magazine 27 (3), 20 - 34, 2010. [PDF]
Simai He, Jiawei Zhang, and Shuzhong Zhang, Bounding Probability of Small Deviation: A Fourth Moment Approach, Mathematics of Operations Research, 35 (1), 208 - 232, 2010. [PDF]
Zhi-Quan Luo and Shuzhong Zhang, A Semidefinite Relaxation Scheme for Multivariate Quartic Polynomial Optimization With Quadratic Constraints, SIAM Journal on Optimization, 20 (4), 1716 - 1736, 2010. [PDF]
Antonio De Maio, Silvo De Nicola, Y.W. Huang, Daniel Palomar, Shuzhong Zhang, and Alfonso Farina, Code Design for Radar STAP via Optimization Theory, IEEE Transactions on Signal Processing, 58 (2), 679 - 694, 2010. [PDF]
Zhi-Quan Luo and Shuzhong Zhang, Duality Gap Estimation and Polynomial Time Approximation for Optimal Spectrum Management, IEEE Transactions on Signal Processing, 57 (7), 2675 - 2689, 2009. [PDF]
Xiaoqing Wang, Shuzhong Zhang, and David Yao, Separated Continuous Conic Programming: Strong Duality and an Approximation Algorithm, SIAM Journal on Control and Optimization, 48 (4), 2118 - 2138, 2009. [PDF]
Wenbao Ai and Shuzhong Zhang, Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition, SIAM Journal on Optimization, 19 (4), 1735 - 1756, 2009. [PDF]
Antonio De Maio, Silvo De Nicola, Yongwei Huang, Zhi-Quan Luo, and Shuzhong Zhang, Design of Phase Codes for Radar Performance Optimization With a Similarity Constraint, IEEE Transactions on Signal Processing, 57 (2), 610 - 621, 2009. [PDF]
Antonio De Maio, Silvo De Nicola, Yongwei Huang, Shuzhong Zhang, and Alfonso Farina, Adaptive Detection and Estimation in the Presence of Useful Signal and Interference Mismatches, IEEE Transactions on Signal Processing, 57 (2), 436 - 450, 2009. [PDF]
Ilker Birbil, Hans Frenk, Joaquim Gromicho, and Shuzhong Zhang, An Integrated Approach to Single-Leg Airline Revenue Management: The Role of Robust Optimization, Management Science, 55 (1), 148 - 163, 2009. [PDF]
Wenbao Ai, Yongwei Huang, and Shuzhong Zhang, On the Low Rank Solutions for Linear Matrix Inequalities, Mathematics of Operations Research, 33 (4), 965 - 975, 2008. [PDF]
Antonio De Maio, Silvio De Nicola, Yongwei Huang, Shuzhong Zhang, and Alfonso Farina, Code Design to Optimize Radar Detection Performance Under Accuracy and Similarity Constraints, IEEE Transactions on Signal Processing, 56 (11), 5618 - 5629, 2008. [PDF]
Jianfeng Liang, Shuzhong Zhang, and Duan Li, Optioned Portfolio Selection: Models and Analysis, Mathematical Finance, 18 (4), 569 - 593, 2008. [PDF]
Zhi-Quan Luo and Shuzhong Zhang, Dynamic Spectrum Management: Complexity and Duality, IEEE Journal of Selected Topics in Signal Processing (Special Issue on: Signal Processing and Networking for Dynamic Spectrum Access), 2 (1), 57 - 73, 2008. [PDF]
Simai He, Zhi-Quan Luo, Jiawang Nie, and Shuzhong Zhang, Semidefnite Relaxation Bounds for Indefinite Homogeneous Quadratic Optimization, SIAM Journal on Optimization, 19, 503 - 523, 2008. [PDF]
Ruijun Shen and Shuzhong Zhang, Robust Portfolio Selection Based on a Multi-stage Scenario Tree, European Journal of Operational Research, 191, 864 - 887, 2008. [PDF]
Jan Brinkhuis and Shuzhong Zhang, A D-Induced Duality and Its Applications, Mathematical Programming, 114, 149 - 182, 2008. [PDF]
Jiang Xie, Simai He, and Shuzhong Zhang, Randomized Portfolio Selection, with Constraints, Pacific Journal of Optimization, 4, 89 - 112, 2008. [Technical Report Version]
Dachuan Xu and Shuzhong Zhang, An Improved Approximation Algorithm for the Uncapacitated Facility Location Problem with Service Installation Costs, Operations Research Letters, 36, 46 - 50, 2008. [PDF]
Dachuan Xu and Shuzhong Zhang, Approximation Bounds for Quadratic Maximization with Semidefinite Programming Relaxation, Science in China, Series A, 50, 1583 - 1596, 2007. [PDF]
Zhi-Quan Luo, Nikos Sidiropoulos, Paul Tseng, and Shuzhong Zhang, Approximation Bounds for Quadratic Optimization with Homogeneous Quadratic Constraints, SIAM Journal on Optimization, 18, 1 - 28, 2007. [PDF]
Yongwei Huang and Shuzhong Zhang, Complex Matrix Decomposition and Quadratic Programming, Mathematics of Operations Research, 32, 758 - 768, 2007. [PDF]
David Yao, Shuzhong Zhang, and Xunyu Zhou, Tracking a Financial Benchmark Using a Few Assets, Operations Research, 54, 232 - 246, 2006. [PDF]
Shuzhong Zhang and Yongwei Huang, Complex Quadratic Optimization and Semidefinite Programming, SIAM Journal on Optimization, 16, 871 - 890, 2006. [PDF]
Tak Wai Cheng and Shuzhong Zhang, On Implementation of a Self-Dual Embedding Method for Convex Programming, Optimization Methods and Software, 21, 75 - 103, 2006. [PDF]
Wenbao Ai and Shuzhong Zhang, An $O(\sqrt{n}L)$ Iteration Primal-Dual Path-Following Method, Based on Wide Neighborhoods and Large Updates, for Monotone LCP, SIAM Journal on Optimization, 16, 400 - 417, 2005. [PDF]
Arjan Berkelaar, Joaquim Gromicho, Roy Kouwenberg, and Shuzhong Zhang, A Primal-Dual Decomposition Algorithm for Multistage Stochastic Convex Programming, Mathematical Programming, 104, 153 - 177, 2005. [PDF]
Sze Wan Lam, Duan Li, and Shuzhong Zhang, A Value Estimation Approach to the Iri-Imai Method for Constrained Convex Optimization, Journal of Optimization Theory and Applications, 125, 591 - 608, 2005. [PDF]
Ilker Birbil, Shu-Chern Fang, Hans Frenk, and Shuzhong Zhang, Recursive Approximation of the Max Function, Operations Research Letters, 33, 450 - 458, 2005. [PDF]
Bintong Chen, K. Madsen, and Shuzhong Zhang, On Characterization of Quadratic Splines, Journal of Optimization Theory and Applications, 124, 93 - 111, 2005. [PDF]
Xiaodong Ji, Shushang Zhu, Shouyang Wang, and Shuzhong Zhang, A Stochastic Linear Goal Programming Approach to Multistage Portfolio Management based on Scenario Generation via Linear Programming, IIE Transactions, 37, 957 - 969, 2005. [PDF]
Shuzhong Zhang, A New Self-Dual Embedding Method for Convex Programming, Journal of Global Optimization, 29, 479 - 496, 2004. [PDF]
Zhi-Quan Luo, Jos Sturm, and Shuzhong Zhang, Multivariate Nonnegative Quadratic Mappings, SIAM Journal on Optimization, 14, 1140 - 1162, 2004. [PDF]
David Yao, Shuzhong Zhang, and Xunyu Zhou, Stochastic Linear-Quadratic Control via Semidefinite Programming, SIAM Review, 46, 87 - 111, 2004. [PDF]
Yinyu Ye and Shuzhong Zhang, New Results on Quadratic Minimization, SIAM Journal on Optimization, 14, 245 - 267, 2003. [PDF]
Jos Sturm and Shuzhong Zhang, On Cones of Nonnegative Quadratic Functions, Mathematics of Operations Research, 28, 246 - 267, 2003. [PDF]
Arjan Berkelaar, Cees Dert, Bart Oldenkamp, and Shuzhong Zhang, A Primal-Dual Decomposition-Based Interior Point Approach to Two-Stage Stochastic Linear Programming, Operations Research, 50, 904 - 915, 2002. [PDF]
Shuzhong Zhang, A Note on a Profit Maximizing Location Model, Annals of Operations Research, 103, 251 - 260, 2001. [Technical Report Version]
Allen Holder, Jos Sturm, and Shuzhong Zhang, Marginal and Parametric Analysis of the Central Optimal Solution, Information Systems and Operations Research, 39, 394 - 415, 2001. [Technical Report Version]
David Yao, Shuzhong Zhang, and Xunyu Zhou, A Primal-Dual Semidefinite Programming Approach to Linear Quadratic Control, IEEE Transactions on Automatic Control, 46, 1442 - 1447, 2001. [PDF]
David Yao, Shuzhong Zhang, and Xunyu Zhou, Stochastic LQ Control via Semidefinite Programming, SIAM Journal on Control and Optimization, 40, 801 - 823, 2001. [PDF]
Jos Sturm and Shuzhong Zhang, On Sensitivity of Central Solutions in Semidefinite Programming, Mathematical Programming, 90, 205 - 227, 2001. [PDF]
Zhi-Quan Luo, Jos Sturm, and Shuzhong Zhang, Conic Convex Programming and Self-Dual Embedding, Optimization Methods and Software, 14, 169 - 218, 2000. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, On Weighted Centers for Semidefinite Programming, European Journal of Operational Research, 126, 391 - 407, 2000. [Technical Report Version]
Shuzhong Zhang, Quadratic Maximization and Semidefinite Relaxation, Mathematical Programming, 87, 453 - 465, 2000. [PDF]
Shuzhong Zhang, Global Error Bounds for Convex Conic Problems, SIAM Journal on Optimization, 10, 836 - 851, 2000. [PDF]
Zhi-Quan Luo and Shuzhong Zhang, On Extensions of the Frank-Wolfe Theorems, Computational Optimization and Applications, 13, 87 - 110, 1999. [PDF]
Janos Csirik, Hans Frenk, Martine Labbe, and Shuzhong Zhang, Two Simple Algorithms for Bin Covering, ACTA Cybernetica, 14, 13 - 25, 1999. [PDF]
Shuzhong Zhang, New Variants of Finite Criss-Cross Pivot Algorithms for Linear Programming, European Journal of Operational Research, 116, 607 - 614, 1999. [Technical Report Version]
Arjan Berkelaar, Jos Sturm, and Shuzhong Zhang, Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming, Applied Numerical Mathematics, 29, 317 - 333, 1999. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, Symmetric Primal-Dual Path Following Algorithms for Semidefinite Programming, Applied Numerical Mathematics, 29, 301 - 315, 1999. [Technical Report Version]
Hans Frenk, Jos Sturm, and Shuzhong Zhang, An Interior-Point Based Subgradient Method for Nondifferentiable Convex Programming, Optimization Methods and Software, 10, 197 - 215, 1998. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, On the Long Step Path-Following Method for Semidefinite Programming, Operations Research Letters, 22, 145 - 150, 1998. [Technical Report Version]
Jack van der Veen, Gerhard Woeginger, and Shuzhong Zhang, Sequencing Jobs that Require Common Resources on a Single Machine: A Solvable Case of the TSP, Mathematical Programming, 82, 235 - 254, 1998. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, An Interior Point Method, Based on Rank-one Updates, for Linear Programming, Mathematical Programming, 81, 77 - 87, 1998. [Technical Report Version]
Zhi-Quan Luo, Jos Sturm, and Shuzhong Zhang, Superlinear Convergence of a Symmetric Primal-Dual Path Following Algorithm for Semidefinite Programming, SIAM Journal on Optimization, 8, 59 - 81, 1998. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, On a Wide Region of Centers and Primal-Dual Interior Point Algorithms for Linear Programming, Mathematics of Operations Research, 22, 408 - 431, 1997. [Technical Report Version]
Jack van der Veen and Shuzhong Zhang, Low-Complexity Algorithms for Sequencing Jobs with a Fixed Number of Job-Classes, Computers and Operations Research, 23, 1059 - 1067, 1996. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, New Complexity Results for the Iri-Imai Method, Annals of Operations Research, 62 (Special Volume on Interior Point Methods), 539 - 564, 1996. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, An O(\sqrt{n} L) Iteration Bound Primal-Dual Cone Affine Scaling Algorithm for Linear Programming, Mathematical Programming, 72, 177 - 194, 1996. [Technical Report Version]
Jos Sturm and Shuzhong Zhang, A Potential Reduction Method for Harmonically Convex Programming, Journal of Optimization Theory and Applications, 84, 181 - 205, 1995. [Technical Report Version]
Shuzhong Zhang, Convergence Property of the Iri-Imai Algorithm for Some Smooth Convex Programming Problems, Journal of Optimization Theory and Applications, 82, 121 - 138, 1994. [Technical Report Version]
Hans Frenk, Martine Labbe and Mario van Vliet, and Shuzhong Zhang, Improved Algorithms for Machine Allocation in Manufacturing Systems, Operations Research, 42, 523 - 530, 1994. [Technical Report Version]
Caspar Schweigman and Shuzhong Zhang, Mathematics to the Masses: The Teachings of Hua Loo-Keng, The Mathematical Intelligencer, 16, 36 - 46, 1994. [Technical Report Version]
Tamas Terlaky and Shuzhong Zhang, Pivot Rules for Linear Programming: A Survey on Recent Theoretical Developments, Annals of Operations Research, 46, 203 - 233, 1993. [Technical Report Version]
Other Selected Publications
Junyu Zhang, Mingyi Hong, Mengdi Wang, and Shuzhong Zhang, Generalization Bounds for Stochastic Saddle Point Problems, AISTATS 2021. arXiv2006.02067
Xiang Gao, Xiaobo Li, and Shuzhong Zhang, Online Learning with Non-Convex Losses and Non-Stationary Regret, International Conference on Artificial Intelligence and Statistics, pp. 235-243, 2018. [PDF]
Shiqian Ma, Bo Jiang, Xiuzhen Huang, and Shuzhong Zhang, Tensor Models: Solution Methods and Applications, In S. Cui, A. Hero, Z.Q. Luo and J. Moura eds., Big Data over Networks, Cambridge University Press, 3 – 36, 2016. [PDF]
Shaozhe Tao, Dan Boley, and Shuzhong Zhang, Convergence of Common Proximal Methods for L1-Regularized Least Squares, Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence, 2015. [PDF]
Yongwei Huang, Antonio De Maio, and Shuzhong Zhang, Semidefinite Programming, Matrix Decomposition, and Radar Code Design. In D.P. Palomar and Y.C. Eldar eds., Convex Optimization in Signal Processing and Communications, Cambridge University Press, 192 – 228, 2010. [PDF]
Lian Yu, Shuzhong Zhang, and Xunyu Zhou, A Downside Risk Analysis based on Financial Index Tracking Models. In M.R. Grossinho, A.N. Shiryaev, M.L. Esquivel and P.E. Oliveira eds., Stochastic Finance, Springer, 213 – 236, 2006. [PDF]
David Yao, Shuzhong Zhang, and Xunyu Zhou, Linear Quadratic Control Revisited: A View Through Semidefinite Programming. In W. Gong and L. Shi eds, Modeling, Control and Optimization of Complex Systems (in honor of Professor Yu-Chi Ho), Kluwer, Chapter 9, 195 – 235, 2002. [PDF]
Shuzhong Zhang, A Primal-Dual Interior Point and Decomposition Approach to Multi-stage Stochastic Programming. In D.D. Yao, H. Zhang, and X.Y. Zhou eds, Stochastic Models and Optimization, Springer-Verlag, Chapter 5, 137 – 170, 2003. [PDF]
Hans Frenk, Kees Roos, Tamas Terlaky, and Shuzhong Zhang (eds.), High Performance Optimization Techniques, Kluwer Academic Publishers, 1999. [PDF]
Jos Sturm and Shuzhong Zhang, A Dual and Interior Point Approach to Solve Convex Min-Max Problems. In D.-Z. Du and P.M. Pardalos eds. Minimax and Its Applications, Kluwer, 69 – 78, 1995. [PDF]
Shuzhong Zhang, On the Strictly Complementary Slackness Relation in Linear Programming. In D.-Z. Du and J. Sun eds., Advances in Optimization and Approximation, Kluwer, 347 – 361, 1994. [PDF]
Selected Unpublished Technical Reports
Junyu Zhang and Shuzhong Zhang, A Cubic Regularized Newton’s Method over Riemannian Manifolds, 2018. arXiv1805.05565
Simai He, Xiaoguo Wang, and Shuzhong Zhang, The Price of Isolation: An Integrated Study of System Inefficiencies, 2009. [PDF]
Jan Brinkhuis, Zhi-Quan Luo, and Shuzhong Zhang, Matrix Convex Functions With Applications to Weighted Centers for Semidefinite Programming, Technical Report SEEM2005-06, Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong, 2005. [PDF]
Shuzhong Zhang, On Conically Ordered Convex Programs, Technical Report SEEM2003-09, Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong, 2003. [PDF]
Jos Sturm, Zhi-Quan Luo, and Shuzhong Zhang, Duality Results for Conic Convex Programming, Report 9719/A, Econometric Institute, Erasmus University Rotterdam, 1997. [PDF]
Jos Sturm, Zhi-Quan Luo, and Shuzhong Zhang, Duality and Self-Duality for Conic Convex Programming, Report 9620/A, Econometric Institute, Erasmus University Rotterdam, 1996. [PDF]
Shuzhong Zhang, The Simplex Method for Some Special Problems, University of Groningen, 1991. [PDF]