(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.