Xiaoming Yuan
Professor
Mathematics
Peking University-HKBU Joint Research Institute for Applied Mathematics
Hong Kong
Biography
My research focuses on numerical optimization (both algorithmic design and theory). I am particularly interested in such topics as variational inequalities and complementarity problems, sparse and low-rank optimization, and first-order methods for large-scale convex programming problems. I am also interested in applications arising in image processing, statistics and operations management.
Research Interest
Numerical optimization
Publications
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He BS, Xu HK, Yuan XM (2016) On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. J of Scientific Computing 66: 1204-1217.
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He BS, Ma F, Yuan XM (2016) Convergence study on the symmetric version of ADMM with larger step sizes. SIAM Journal on Imaging Sciences 9: 1467-1501.
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Tian WY, Yuan XM (2016) Linearized primal-dual methods for linear inverse problems with total variation regularization and finite element discretization. Inverse Problems 32: 115011.
