Research Interests

  • Optimization theory and algorithms

  • Inverse problems in medical imaging and signal processing

  • Graph partitioning

  • Optimization methods for electric power systems

Publications/Preprints

  • An ellipsoidal branch and bound algorithm for global optimization, SIAM Journal on Optimization, Vol. 20, pp. 740-758, 2009 (with W. Hager) pdf

  • Gradient-based algorithms for sparse recovery, SIAM Journal on Imaging Sciences, Vol. 4, pp. 146-165, 2011, (with W. Hager and H. Zhang) pdf

  • A fast algorithm for image reconstruction in partially parallel MR imaging, SIAM Journal on Imaging Sciences, Vol. 5, pp. 90-118, 2012, (with Y. Chen, W. Hager, F. Huang, X. Ye and  W. Yin) pdf

  • Lagrangian duality and branch-and-bound algorithms for optimal power flow, (Operations Research, in press) pdf

  • An exact algorithm for graph partitioning, (Mathematical Programming, with W. Hager and H. Zhang) pdf

  • Two-stage stochastic optimization for optimal power flow under renewable generation uncertainty, (submitted to ACM Transactions on Modeling and Computer Simulation, with S. Ghosh) pdf

  • Power generation management under time-varying power and demand conditions, (Proceedings of the 2011 IEEE Power & Energy Society General Meeting,  with S. Ghosh, D. Iancu, D. Katz-Rogozhnikov and M. Squillante) pdf

  • Security-constrained unit commitment and economic dispatch with stochastic analysis, (Proceedings of the 2011 RFI workshop on Computation Needs for the Next-Generation Electric Grid, Phan et al.)

  • A two-stage nonlinear program for optimal electrical grid power balance under uncertainty, (Proceedings of the 2011 Winter Simulation Conference, with S. Ghosh) pdf

  • Distributed methods for solving the security-constrained optimal power flow problem, (Proceedings of the 2012 IEEE PES Innovative Smart Grid Technologies Conference, with J. Kalagnanam) pdf

  • Parallel block predictor-corrector methods using Adams predictor types, (Proceedings of Applied Mathematics conference, Hanoi, p. 122-126, Oct 2001)

  • Quadratic programming techniques for multilevel algorithms, (preprint, with W. W. Hager)

  • A system for solving large-scale security-constrained economic dispatch problem in near real-time, ( Invention disclosure YOR820110280, filed US patent, with J. Kalagnanam)

  • A Method for Planning Economic Energy Dispatch in Electrical Grid under Uncertainty, (Invention disclosure YOR820110518, filing US patent, with S. Ghosh)

Conferences/Talks

  • An ellipsoidal branch and bound algorithm for solving quadratically constrained quadratic programs, The international conference on nonconvex programming: local and global approaches - theory, algorithms and applications, National Institute for Applied Sciences, Rouen, France, Dec 2007  

  • Some approaches for solving quadratic programs, 32nd SIAM Southeastern-Atlantic Section Conference, Orlando, Mar 2008  (best paper award nomination)

  • An efficient branch and bound algorithm for global optimization, SIAM Conference on Optimization, Boston, May 2008 

  • Solving graph bisection minimization problems using convex relaxations, 2nd SIAM Gators Student conference, Gainesville, Mar 2009

  • Continuous optimization techniques for graph partitioning, 33rd SIAM Southeastern-Atlantic Section Conference, South Carolina, Apr 2009

  • An exact algorithm for solving the graph partitioning problem, 20th International Symposium of Mathematical Programming, Chicago, Aug 2009

  • Gradient-based algorithms for signal processing and image reconstruction, INFORMS Annual Meeting, San Diego, Oct 2009

  • A fast numerical algorithm for sensitivity encoding with arbitrary k-space trajectories, SIAM Conference on Imaging Science, Chicago, Apr 2010