Prof LIAO, Li Zhi 廖立志教授
Professor
Director of the Centre for Mathematical Imaging and Vision
Director of Joint Research Institute for Applied Mathematics
Programme Director for BSc in Mathematics and Statistics Programme
Director of the Centre for Mathematical Imaging and Vision
Director of Joint Research Institute for Applied Mathematics
Programme Director for BSc in Mathematics and Statistics Programme
PhD, Cornell University
MSc, Cornell University
BSc, Tsinghua University
MSc, Cornell University
BSc, Tsinghua University
Current Research Interests
Continuous Method for Optimization, Theory and Computation of Optimization and Optimal Control, Parallel Computing
Selected Publications
- Y. Ma and L.-Z. Liao, The Glowinski-Le Tallec splitting method revisited: A general convergence and convergence rate analysis, JIMO, (to appear).
- X. Qian, L.-Z. Liao, and J. Sun, A strategy of global convergence for the affine scaling algorithm for convex semidefinite programming, Math. Prog., Vol. 179 (1-2), 1-19, 2020.
- L. M. Sun and L.-Z. Liao, An interior point continuous path-following trajectory for linear programming, JIMO, 15(4), 1517-1534, 2019.
- H. Zhu, L.-Z. Liao, and M. K. Ng, Multi-instance dimensionality reduction via sparsity and orthogonality, Neural Comput., 30(12), 3281-3308, 2018.
- H. W. Yue, L.-Z. Liao, and X. Qian, Two interior point continuous trajectory models for convex quadratic programming with bound constraints, PJO, 14(3), 527-550, 2018.
- H. Zhu, C. Chen, L.-Z. Liao, and M. K. Ng, Multiple graphs clustering by gradient flow method, J. Franklin Institute, 355(4), 1819-1845, 2018.
- X. Qian, L.-Z. Liao, J. Sun, and H. Zhu, The convergent generalized central paths for linearly constrained convex programming, SIAM J. Optim., 28(2), 1183-1204, 2018.
- X. Qian and L.-Z. Liao, Analysis of the primal affine scaling continuous trajectory for convex programming, PJO, 14(2), 261-272, 2018.
- J. Sun, L.-Z. Liao, and B. Rodrigues, Quadratic two-stage stochastic optimization with coherent measures of risk, Math. Prog., B, 168 (1-2), 599-613, 2018.
- X. B. Gao and L.-Z. Liao, A novel neural network for generally constained variational inequalities, IEEE TNNLS, 28 (9), 2062-2075, 2017.
- H. Zhu, X. Zhang, D. Chu, and L.-Z. Liao, Noncovex and nonconvex optimization with generalized orthogonality constraints: an approximate augmented Lagrangian method, J. Sci. Comput. 72, 331-372, 2017.
- X. Qian, L.-Z. Liao, and J. Sun, Analysis of some interior point continuous trajectories for convex programming, Optimization, 66 (4), 589-608, 2017.
- X. W. Zhang, L. Chen, D. Chu, L.-Z. Liao, M. K. Ng, and C. E. Tan, Incremental regularized least squares for dimensionality reduction of large-scale data, SISC, 38 (3), B414-439, 2016.
- D. Chu, L.-Z. Liao, M. K. Ng, and X. Y. Wang, Incremental linear discriminant analysis: a fast algorithm and comparison, IEEE TNNLS, 26 (11), 2716-2735, 2015.
- L.-Z. Liao, A study of the dual affine scaling continuous trajectories for linear programming, JOTA, 163 (2), 548-568, 2014.
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