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Join Us
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
Hetao Institute of Mathematics and Interdisciplinary Sciences
BIMSA > Liping Zhang

Liping Zhang

     Professor    
Professor Liping Zhang

Affiliation: Tsinghua University, BIMSA

Group: Theory and Computation of PDE

Email: zhangliping@bimsa.cn

Research Field: 连续优化、张量优化、机器学习

Research Interest


  • Tensor Optimization
  • Machine Learning and Reinforcement Learning
  • Continuous Optimization

Education Experience


  • 1998 - 2001      AMSS, CAS      Operations Research      Ph.D
  • 1993 - 1995      Qufu Normal University      Operations Research      M.Sc.
  • 1989 - 1993      Qufu Normal University      Mathematics      B.Sc.

Work Experience


  • 2025 -      BIMSA      Professor
  • 2025 -      Tsinghua University      Professor
  • 2005 - 2024      Tsinghua University      Associate Professor
  • 2003 - 2005      Tsinghua University      Lecturer
  • 2001 - 2003      Beijing Jiaotong University      Postdoctor
  • 1995 - 1998      Qufu Normal University      Lecturer

Publication


  • [1] Z Qin, Z Ming, D Sun, L Zhang, Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy, Mathematics of Computation, 94(355), 2409-2456 (2025)
  • [2] L Chen, R Chen, D Sun, L Zhang, Characterizations of the Aubin property of the solution mapping for nonlinear semidefinite programming: L. Chen et al., Mathematical Programming, 1-32 (2025)
  • [3] Z Ming, Z Qin, L Zhang, Y Xu, L Qi, Network traffic recovery from link-load measurements using tensor triple decomposition strategy for third-order traffic tensors, Journal of Computational and Applied Mathematics, 447, 115901 (2024)
  • [4] Y Chen, L Zhang, Applications of Dual Complex Adjoint Matrix in Eigenvalue Computation of Dual Quaternion Hermitian Matrix, arXiv, 2407.17251 (2024)
  • [5] Y Chen, L Zhang, The Jacobi Eigenvalue Algorithm for Computing the Eigenvalues of a Dual Quaternion Hermitian Matrix, arXiv, 2405.13649 (2024)
  • [6] Z Qin, L Zhang, Reweighted Quasi Norm Regularized Low-Rank Factorization for Matrix Robust PCA, arXiv, 2403.18400 (2024)
  • [7] H Wang, L Zhang, Low-rank Tensor Autoregressive Predictor for Third-Order Time-Series Forecasting, arXiv, 2403.02835 (2024)
  • [8] Y Chen, L Zhang, Linear Convergence of the Collatz Method for Computing the Perron Eigenpair of a Primitive Dual Number Matrix, Communications on Applied Mathematics and Computation, 1-16 (2024)
  • [9] X Cui, L Zhang, Computing the dominant eigenpair of an essentially nonnegative tensor via a homotopy method, Journal of Computational and Applied Mathematics, 438, 115565 (2024)
  • [10] W Zhang, Z Ming, L Zhang, Y Xu, A Round Trip Time Weighting Model for One-way Delay Estimation, East Asian Journal on Applied Mathematics, 14(1), 179-194 (2024)
  • [11] Y Li, L Zhang, A novel nonconvex relaxation approach to low-rank matrix completion of inexact observed data, SIAM Journal on Optimization, 34(3), 2378-2410 (2024)
  • [12] X Cui, L Zhang, A localized progressive hedging algorithm for solving nonmonotone stochastic variational inequalities, Mathematics of Operations Research, 49(3), 1915-1937 (2024)
  • [13] Y Chen, L Zhang, Dual Complex Adjoint Matrix: Applications in Dual Quaternion Research, arXiv, 2407.12635 (2024)
  • [14] Y Li, D Sun, L Zhang, Unsupervised feature selection via nonnegative orthogonal constrained regularized minimization, arXiv, 2403.16966 (2024)
  • [15] Y Li, L Zhang, A Novel Loss Function-based Support Vector Machine for Binary Classification, arXiv, 2403.16654 (2024)
  • [16] Z Luan, Z Ming, Y Wu, W Han, X Chen, B Bai, L Zhang, Hankel tensor-based model and $L1$ -Tucker decomposition-based frequency recovery method for harmonic retrieval problem, Computational and Applied Mathematics, 42(1), 14 (2023)
  • [17] R Chen, L Zhang, Z Ming, A parallel low rank matrix optimization method for recovering internet traffic network data via link flow measurement, Journal of Computational and Applied Mathematics, 434, 115331 (2023)
  • [18] L Zhang, D Sun, Z Luan, Solvability of monotone tensor complementarity problems, Science China Mathematics, 66(3), 647-664 (2023)
  • [19] S Du, J Sun, S Niu, L Zhang, Stochastic absolute value equations, Journal of Applied Mathematics and Computing, 69(1), 921-939 (2023)
  • [20] Y Li, L Zhang, A SMOOTHING NEWTON METHOD PRESERVING NONNEGATIVITY FOR SOLVING TENSOR COMPLEMENTARITY PROBLEMS WITH PMAPPINGS., Journal of Industrial & Management Optimization, 19(3) (2023)
  • [21] Y Li, L Zhang, RIP-based Performance Guarantee for Low Rank Matrix Recovery via $L_{*-F}$ Minimization, arXiv, 2308.03642 (2023)
  • [22] Y Zhang, Z Ming, X Peng, J Liu, L Zhang, LBFF: Load-Balancing First Fit Algorithm for Tenant Placement Problem, ICC 2023-IEEE International Conference on Communications, 6261-6267 (2023)
  • [23] X Cui, J Sun, L Zhang, On multistage pseudomonotone stochastic variational inequalities, Journal of Optimization Theory and Applications, 199(1), 363-391 (2023)
  • [24] Z Ming, L Zhang, H Wu, Y Xu, M Bakshi, B Bai, G Zhang, An accurate and practical algorithm for internet traffic recovery problem, Neurocomputing, 467, 203-213 (2022)
  • [25] Z Qin, Z Ming, L Zhang, Singular value decomposition of third order quaternion tensors, Applied Mathematics Letters, 123, 107597 (2022)
  • [26] Z Ming, H Pang, Y Xu, L Zhang, W Zhang, Estimating clock skew with one-way timestamps, IEEE Communications Letters, 26(11), 2591-2595 (2022)
  • [27] Z Luan, Y Wu, S Liang, W Han, B Bai, L Zhang, Modulation for massive unsourced random access based on tensor block term decomposition, 2022 IEEE Globecom Workshops (GC Wkshps), 637-643 (2022)
  • [28] L Zhang, S Du, On Exchange Methods for Nonlinear Semi-Infinite Programs, Asia-Pacific Journal of Operational Research, 39(05), 2150043 (2022)
  • [29] H Zhu, L Zhang, An alternating direction method of multipliers for tensor complementarity problems, Computational and Applied Mathematics, 40(4), 106 (2021)
  • [30] L Zhang, C Chen, A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications, Mathematics of Computation, 90(327), 215-231 (2021)
  • [31] Z Ming, L Zhang, Y Xu, M Bakshi, An algorithm for matrix recovery of high-loss-rate network traffic data, Applied Mathematical Modelling, 96, 645-656 (2021)
  • [32] Y Li, S Du, L Zhang, Tensor quadratic eigenvalue complementarity problem, Pac, J. Optim, 17, 251-268 (2021)
  • [33] Z Luan, Y Wu, S Liang, L Zhang, W Han, B Bai, A Tensor-BTD-based Modulation for Massive Unsourced Random Access, arXiv, 2112.02629 (2021)
  • [34] X Cui, L Zhang, Stochastic $R0$ matrix linear complementarity problems: the Fischer–Burmeister function-based expected residual minimization, Computational and Applied Mathematics, 40(6), 183 (2021)
  • [35] Z Qin, L Zhang, A NEW PENALIZED LEAST ABSOLUTE DEVIATION MODEL FOR HIGH DIMENSIONAL SPARSE LINEAR REGRESSION AND AN EFFICIENT SEQUENTIAL LINEAR PROGRAMMING ALGORITHM, PACIFIC JOURNAL OF OPTIMIZATION, 17(2), 227-250 (2021)
  • [36] Z Ming, L Zhang, H Wu, Y Xu, M Bakshi, B Bai, G Zhang, A Convergent Semi-Proximal Alternating Direction Method of Multipliers for Recovering Internet Traffics from Link Measurements, arXiv, 2102.03358 (2021)
  • [37] Z Luan, Z Ming, Y Wu, W Han, X Chen, B Bai, L Zhang, Harmonic Retrieval with $L_1$ -Tucker Tensor Decomposition, arXiv, 2111.14780 (2021)
  • [38] J Yue, L Zhang, Finding all H-eigenvalues of signless Laplacian tensor for a uniform loose path of length three, Asia-Pacific Journal of Operational Research, 37(04), 2040007 (2020)
  • [39] J Yue, L Zhang, Computing all Laplacian H-eigenvalues for a uniform loose path of length three, Computational and Applied Mathematics, 39(2), 121 (2020)
  • [40] Z Ming, L Zhang, L Qi, Expected residual minimization method for monotone stochastic tensor complementarity problem, Computational Optimization and Applications, 77(3), 871-896 (2020)
  • [41] C Chen, L Zhang, Finding Nash equilibrium for a class of multi-person noncooperative games via solving tensor complementarity problem, Applied Numerical Mathematics, 145, 458-468 (2019)
  • [42] S Du, L Zhang, A mixed integer programming approach to the tensor complementarity problem, Journal of Global Optimization, 73(4), 789-800 (2019)
  • [43] Z Ming, Y Chen, L Qi, L Zhang, Supporting Material of “A Polynomially Irreducible Functional Basis of Elasticity Tensors” (2019)
  • [44] Z Luan, L Zhang, A new programmable iterative algorithm for identifying strong H-tensors, Computational and Applied Mathematics, 38(2), 43 (2019)
  • [45] Z Ming, Y Chen, L Qi, L Zhang, A polynomially irreducible functional basis of elasticity tensors, arXiv, 1912.03077 (2019)
  • [46] Z Ming, L Zhang, Y Chen, An irreducible polynomial functional basis of two-dimensional Eshelby tensors, Applied Mathematics and Mechanics, 40(8), 1169-1180 (2019)
  • [47] J Yue, L Zhang, Z Huang, A linearly convergent iterative method for identifying H-matrices, Linear and Multilinear Algebra, 67(12), 2488-2503 (2019)
  • [48] S Du, L Zhang, C Chen, L Qi, Tensor absolute value equations, Science China Mathematics, 61(9), 1695-1710 (2018)
  • [49] Z Ming, L Zhang, L Qi, Y Chen, Minimal Integrity Bases and Irreducible Function Bases of Isotropic Invariants of Two-dimensional Eshelby Tensors, arXiv, 1803.06106 (2018)
  • [50] JJ Yue, LP Zhang, M Lu, LQ Qi, The adjacency and signless Laplacian spectra of cored hypergraphs and power hypergraphs, Journal of the Operations Research Society of China, 5(1), 27-43 (2017)
  • [51] J Yue, L Zhang, M Lu, Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths, Frontiers of Mathematics in China, 11(3), 623-645 (2016)
  • [52] S Hayashi, SY Wu, L Zhang, Computation algorithm for convex semi-infinite program with second-order cones: special analyses for affine and quadratic case, Journal of Scientific Computing, 68(2), 573-595 (2016)
  • [53] L Zhang, SY Wu, An Efficient Algorithm for Min-Max Convex Semi-Infinite Programming Problems, Numerical Functional Analysis and Optimization, 37(8), 1037-1053 (2016)
  • [54] W Xing, SC Fang, RL Sheu, L Zhang, Canonical dual solutions to quadratic optimization over one quadratic constraint, Asia-Pacific Journal of Operational Research, 32(01), 1540007 (2015)
  • [55] L Zhang, Y Zhou, A note on economic equilibrium and financial networks, Acta Mathematicae Applicatae Sinica, English Series, 30(1), 89-98 (2014)
  • [56] L Zhang, L Qi, G Zhou, $M$ -Tensors and Some Applications, SIAM Journal on Matrix Analysis and Applications, 35(2), 437-452 (2014)
  • [57] L Zhang, Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor, Frontiers of Mathematics in China, 8(1), 141-153 (2013)
  • [58] L Zhang, A Newton‐Type Algorithm for Solving Problems of Search Theory, Advances in Operations Research, 2013(1), 513918 (2013)
  • [59] LP Zhang, SC Fang, SY Wu, An entropy based central cutting plane algorithm for convex min-max semi-infinite programming problems, Science China Mathematics, 56(1), 201-211 (2013)
  • [60] Q Yang, L Zhang, T Zhang, G Zhou, Spectral theory of nonnegative tensors, Frontiers of Mathematics in China, 8(1), 1 (2013)
  • [61] LP Zhang, LQ Qi, ZY Luo, Y Xu, The dominant eigenvalue of an essentially nonnegative tensor, Numerical Linear Algebra with Applications, 20(6), 929-941 (2013)
  • [62] L Zhang, L Qi, Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor, Numerical Linear Algebra with Applications, 19(5), 830-841 (2012)
  • [63] L Zhang, L Qi, Y Xu, Linear convergence of the LZI algorithm for weakly positive tensors, Journal of Computational Mathematics, 24-33 (2012)
  • [64] L Zhang, Y Zhou, A new approach to supply chain network equilibrium models, Computers & Industrial Engineering, 63(1), 82-88 (2012)
  • [65] L Zhang, L Qi, G Zhou, M-tensors and the positive definiteness of a multivariate form, arXiv, 1202.6431 (2012)
  • [66] L Zhang, SY Wu, A new approach to the weighted peak-constrained least-square error FIR digital filter optimal design problem, Computational Optimization and Applications, 50(2), 445-461 (2011)
  • [67] L Zhang, SY Wu, SC Fang, Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium problems, Journal of Industrial and Management Optimization, 6(2), 333-346 (2010)
  • [68] L Zhang, SY Wu, MA López, A new exchange method for convex semi-infinite programming, SIAM Journal on optimization, 20(6), 2959-2977 (2010)
  • [69] L Zhang, SY Wu, Robust solutions to Euclidean facility location problems withuncertain data, Journal of Industrial and Management Optimization, 6(4), 751-760 (2010)
  • [70] LP Zhang, JY Han, Unconstrained optimization reformulations of equilibrium problems, Acta Mathematica Sinica, English Series, 25(3), 343-354 (2009)
  • [71] L Zhang, SY Wu, T Gao, Improved smoothing Newton methods for P0 nonlinear complementarity problems, Applied Mathematics and Computation, 215(1), 324-332 (2009)
  • [72] L Zhang, SY Wu, An algorithm based on the generalized D-gap function for equilibrium problems, Journal of computational and applied mathematics, 231(1), 403-411 (2009)
  • [73] L Zhang, Solvability of semidefinite complementarity problems, Applied mathematics and computation, 196(1), 86-93 (2008)
  • [74] L Zhang, A global linear and local quadratic single—step noninterior continuation method for monotone semidefinite complementarity problems, Acta Mathematica Scientia, 27(2), 243-253 (2007)
  • [75] L Zhang, A nonlinear complementarity model for supply chain network equilibrium, Journal of industrial and management optimization, 3(4), 727-737 (2007)
  • [76] L Zhang, A new trust region algorithm for nonsmooth convex minimization, Applied Mathematics and Computation, 193(1), 135-142 (2007)
  • [77] LP Zhang, WX Xing, On the Finite Convergence of Newton-type Methods for P 0 Affine Variational Inequalities, Acta Mathematica Sinica, English Series, 23(9), 1553-1562 (2007)
  • [78] W Xing, SC Fang, DY Gao, RL Sheu, L Zhang, Canonical dual solutions to the quadratic programming over a quadratic constraint, ICOTA, 7, 35-36 (2007)
  • [79] LP Zhang, JY Han, ZH Huang, Superlinear/Quadratic One–step Smoothing Newton Method for–NCP, Acta Mathematica Sinica, 21(1), 117-128 (2005)
  • [80] ZH Huang, L Zhang, J Han, A HYBRID SMOOTHING-NONSMOOTH NEWTON-TYPE ALGORITHM YIELDING AN EXACT SOLUTION OF THE P₀-LCP, Journal of Computational Mathematics, 797-806 (2004)
  • [81] L Zhang, On the convergence of a modified algorithm for the spherical facility location problem, Operations Research Letters, 31(2), 161-166 (2003)
  • [82] D Xu, J Han, Z Huang, L Zhang, Improved approximation algorithms for Max-directed-bisection and Max-dense-subgraph, Journal of Global Optimization, 27(4), 399-410 (2003)
  • [83] L Zhang, X Zhang, Global Linear and Quadratic One-step Smoothing Newton Method for-LCP, Journal of Global Optimization, 25(4), 363-376 (2003)
  • [84] L Zhang, Z Gao, Quadratic one-step smoothing Newton method for P0-LCP without strict complementarity, Applied mathematics and computation, 140(2-3), 367-379 (2003)
  • [85] L Zhang, Z Gao, Superlinear/quadratic one-step smoothing Newton method for P-NCP without strict complementarity, Mathematical Methods of Operations Research, 56(2), 231-241 (2002)
  • [86] L Zhang, J Han, D Xu, Existence theorems of solution to variational inequality problems, Science in China Series A: Mathematics, 44(2), 212-219 (2001)
  • [87] L Zhang, A characterization of the Drazin inverse, Linear Algebra and its Applications, 335(1-3), 183-188 (2001)
  • [88] Z Huang, J Han, D Xu, L Zhang, The non-interior continuation methods for solving thefunction nonlinear complementarity problem, Science in China Series A: Mathematics, 44(9), 1107-1114 (2001)
  • [89] R Chen, L Zhang, Minimax Concave Penalty Based Low Rank Quaternion Matrix Minimization for Color Image Recovery, Available at SSRN, 5002227
  • [90] S Hayashi, L Zhang, SY Wu, On finite convergence of an explicit exchange method for convex semi-infinite programming problems with second-order cone constraints

 

Update Time: 2026-01-09 08:00:12


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