Papers and Publications

Selected Papers

  • (with L. Zhang) Stability and error estimates of BV solutions to the Abel inverse problem, 2017.

  • (with G. Tran and R. Ward) Learning dynamical systems and bifurcation via group sparsity, arXiv:1709.01558, 2017.

  • (with G. Tran and R. Ward) Extracting sparse high-dimensional dynamics from limited data, arXiv:1707.08528, 2017.

  • (with S.G. McCalla) Sparse model selection via integral terms, Physical Review E, 96(2), 023302, 2017.

  • Learning partial differential equations via data discovery and sparse optimization, Proceedings of the Royal Society A, 473(2197), 2017.

  • (with T. Y. Hou) Accelerated methods for nonlinear elliptic PDE, Journal of Scientific Computing, 69 (2), 556-580, 2016.

  • (with T. Y. Hou and Q. Li) Sparse + low-energy decomposition for viscous conservation laws, Journal of Computational Physics, 288: 150-166, 2015.

  • (with Y. Yang, H. Zhao and S. Osher) Real-time adaptive video compression, SIAM Journal of Scientific Computing, 37(6): B980-B1001, 2015.

  • (with G. Tran, W. Feldman, and S. Osher) An L1 penalty method for general obstacle problems, SIAM Journal of Applied Mathematics, 75(4): 1424-1444, 2015.

  • (with R. Caflisch, S. Osher, and G. Tran) PDEs with compressed solutions, Communications in Mathematical Sciences, 13(8): 2155-2176, 2015.

  • (with Y. Yang, and S. Osher) Space-time regularization for video decompression, SIAM Journal of Imaging Sciences, 8(1): 373-402, 2014.

  • (with A. Mackey and S. Osher) On the compressive spectral method, Multiscale Modeling & Simulation (SIAM), 2(4): 1800-1827, 2014.

  • (with N. Duggan, C. Le Guyader, and L. Vese) Topology preserving active contours, Communications in Mathematical Sciences, 12(7): 1329-1342, 2014.

  • Active arcs and contours, Inverse Problems and Imaging, 8(3): 845-863, 2014.

  • (with L. Vese) Variational dynamics of free triple junctions, Journal of Scientific Computing, 59(2): 386-411, 2014.

  • (with L. Vese) Active contours with free endpoints, Journal of Mathematical Imaging and Vision, 49(1): 20-36, 2014.

  • (with N. Duggan, C. Le Guyader, E. Jones, M. Glavin, and L. Vese) Boundary detection in echocardiography using a split Bregman edge detector and a topology preserving level set approach, Biomedical Imaging (ISBI), 2013 IEEE 10th International Symposium on., 73-76, 2013.

  • (with Y. Yang, W. Yin, and S. Osher) Mixing space-time derivatives for video compressive sensing, Signals, Systems and Computers, 2013 Asilomar Conference on., 158-162. 2013.

  • (with J. Garnett and L. Vese) A texture model based on a concentration of measure, Inverse Problems and Imaging, 7(3): 927-946, 2013.

  • (with R. Caflisch, C. Hauck, and S. Osher) Sparse dynamics for partial differential equations, Proceedings of the National Academy of Sciences, 110(17): 6634-6639, 2013.

  • (with S. Osher) A low patch-rank interpretation of texture, SIAM Journal on Imaging Sciences, 6(1): 226-262, 2013.


  • Rafael Aguayo, Alejandro Camacho, Piyali Mukherjee, Qi Yang. Detecting Foot-Chases from Police Body-Worn Video, SIURO, 2016.

  • M.-G. Ascenzi, X. Du, J. Harding, E. Beylerian, B. de Silva, B. Gross, H. Kastein, W. Wang, K. Lyon. Automated detection and morphometry of chondrocytes in the murine growth plate, Special Issue of the Journal of Applied Mathematics: Mathematical Modeling and Experimentation, 2014.

  • E. Beylerian. Finding a Needle in a Haystack: An Image Processing Approach, SIAM Undergraduate Research Online (SIURO), 6: S01190, 2013.

  • E. Dimitrov, D. Wen, S. Rankovic, K. Nandyose, O. Thonnard. An automated and learning-free construction method for a distorted fuzzy measure for modeling complex user-defined aggregation models, Preprint on UCLA CAM Reports, Number 12-53, 2012.


This research was funded in part by the National Science Foundation, AFOSR, the University of California President’s Postdoctoral Fellowship Program, and the Department of Defense.