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Xiaoming Yuan

Professor
Mathematics
Peking University-HKBU Joint Research Institute for Applied Mathematics
Hong Kong

Professor Mathematics
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 Intrest

Numerical optimization

List of Publications
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.
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.
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.
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