BIMSA > 张立平
教授 张立平

单位: 清华大学, 北京雁栖湖应用数学研究院

团队: 偏微分方程理论与计算

邮箱: zhangliping@bimsa.cn

研究方向: 连续优化、张量优化、机器学习

研究兴趣

  • 张量优化
  • 机器学习和强化学习
  • 连续优化

教育经历

  • 1998 - 2001      AMSS, CAS      运筹学      Ph.D
  • 1993 - 1995      曲阜师范大学      运筹学      M.Sc.
  • 1989 - 1993      曲阜师范大学      数学      B.Sc.

工作经历

  • 2025 -      BIMSA      教授
  • 2025 -      清华大学      教授
  • 2005 - 2024      清华大学      副教授
  • 2003 - 2005      清华大学      讲师
  • 2001 - 2003      北京交通大学      博士后
  • 1995 - 1998      曲阜师范大学      讲师

出版物

  • [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

 

更新时间: 2026-01-09 17:00:10