Publications

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Author Title Type [ Year(Asc)]
Submitted
A. Hashemi, Schaeffer, H. , Shi, R. , Topcu, U. , Tran, G. , and Ward, R. , Generalization Bounds for Sparse Random Feature Expansions, Submitted.
H. Schaeffer, Tran, G. , and Ward, R. , Learning Dynamical Systems and Bifurcation via Group Sparsity, Submitted.
2020
L. S. T. Ho, Schaeffer, H. , Tran, G. , and Ward, R. , Recovery Guarantees for Polynomial Approximation from Dependent Data with Outliers, Journal of Approximation Theory, vol. 259, 2020.
H. Schaeffer, Tran, G. , Ward, R. , and Zhang, L. , Extracting Structured Dynamical Systems using Sparse Optimization with very Few Samples, Multiscale Modeling & Simulation, vol. 18, no. 4, 2020.
2018
H. Schaeffer, Tran, G. , and Ward, R. , Extracting Sparse High-Dimensional Dynamics from Limited Data, SIAM Journal on Applied Mathematics, 2018.
2017
G. Tran and Ward, R. , Exact Recovery of Chaotic Systems from Highly Corrupted Data, Multiscale Modeling & Simulation, vol. 15, no. 3, pp. 1108-1129, 2017.
2015
G. Tran, Schaeffer, H. , Feldman, W. , and Osher, S. , An L1 Penalty Method for General Obstacle Problems, SIAM Journal on Applied Mathematics, vol. 75, no. 4, pp. 1424-1444, 2015.
D. Zosso, Tran, G. , and Osher, S. , Non-local Retinex - A Unifying Framework and Beyond, SIAM Journal on Imaging Sciences, vol. 8, no. 2, pp. 787–826, 2015.
R. E. Caflisch, Osher, S. J. , Schaeffer, H. , and Tran, G. , PDEs with Compressed Solutions, Communications in Mathematical Sciences, vol. 13, no. 8, p. 2155--2176, 2015.
G. Tran and Shi, Y. , Fiber Orientation and Compartment Parameter Estimation from Multi-Shell Diffusion Imaging, IEEE Transactions on Medical Imaging, vol. 34, no. 11, pp. 2320-2332, 2015.
J. C. Thomas et al., Defect-Tolerant Aligned Dipoles within Two-Dimensional Plastic Lattices, ACS Nano, vol. 9, no. 5, pp. 4734-4742, 2015.
L. J. Larsson et al., Identifying Perceptually Salient Features on 2D Shapes, in Research in Shape Modeling, Springer, Cham, 2015, pp. 129-153.
2014
J. Gilles, Tran, G. , and Osher, S. , 2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited, SIAM Journal on Imaging Sciences, vol. 7, no. 1, pp. 157-186, 2014.
J. Li, Shi, Y. , Tran, G. , Dinov, I. , Wang, D. J. J. , and Toga, A. , Fast Local Trust Region Technique for Diffusion Tensor Registration Using Exact Reorientation and Regularization, IEEE Transactions on Medical Imaging, vol. 33, no. 5, pp. 1005 - 1022, 2014.
2013
D. Zosso, Tran, G. , and Osher, S. , A Unifying Retinex Model Based on Non-Local Differential Operators, in Computational Imaging XI, 2013, vol. 8657.
G. Tran and Shi, Y. , Adaptively Constrained Convex Optimization for Accurate Fiber Orientation Estimation with High Order Spherical Harmonics, in International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), MICCAI 2013, , 2013, pp. 485-492.
2012
J. Li, Shi, Y. , Tran, G. , Dinov, I. , Wang, D. J. J. , and Toga, A. W. , Fast Diffusion Tensor Registration with Exact Reorientation and Regularization, in International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2012, pp. 138-145.