- Algorithms for non-smooth convex/non-convex optimizations:(supported by NSF DMS-1115568 and DMS-1319050)
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- Accelerated primal dual (APD) methods with optimal rate of convergence;
- Accelerated primal dual (ADMM) with optimal rate of convergence;
- Optimal Scheme for a class of variational inequality;
- Accelerated Bregman operator splitting with variable stepsizes (BOSVS) and optimal rate of convergence;
- Fast accelerated bundle level type methods with optimal rate of convergence.
- Nuclear moment imaging and image reconstruction (supported by NSF IIP-1237814)
- Multi-contrast and multi-channel magnetic resonance (MR) image reconstruction with significantly reduced data;
- Multi-shorts echo-planar diffusion weighted MR image reconstruction;
- 4-D cone-beam computed tomography (CBCT) image reconstruction;
Current Ph.D. Students:
Meng Liu
Hao Zhang
Wei Zhang
Xianqi Li
Chenxi Chen