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Author Title Type [ Year(Asc)]
Submitted
H. Schaeffer, Tran, G. , and Ward, R. , “Learning Dynamical Systems and Bifurcation via Group Sparsity”, Submitted.
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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