Publications

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Author Title Type Year(Asc)
2023
N. Richardson, Ho, L. Si Tung, and Tran, G., Adaptive Group Lasso Neural Network Models for Functions of Few Variables and Time-Dependent Data, Sampling Theory, Signal Processing, and Data Analysis, 2023.
E. Saha, Schaeffer, H., and Tran, G., HARFE: Hard-ridge random feature expansion, Sampling Theory, Signal Processing, and Data Analysis, 2023.
N. Richardson, Schaeffer, H., and Tran, G., SRMD: Sparse random mode decomposition, Communications on Applied Mathematics and Computation, pp. 1-28, 2023.
E. Saha, Ho, L. Si Tung, and Tran, G., SPADE4: Sparsity and Delay Embedding Based Forecasting of Epidemics, Bulletin of Mathematical Biology, 2023.
A. Hashemi, Schaeffer, H., Shi, R., Topcu, U., Tran, G., and Ward, R., Generalization Bounds for Sparse Random Feature Expansions, Applied and Computational Harmonic Analysis, vol. 62, pp. 310-330, 2023.
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.

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