2021
- F. Lu, M. Maggioni, M. Zhong. Adaptive Kernel Learning of Dynamical Systems, In Preparation.
- E. Tadmor, M. Zhong. The Multi-scale Hierarchical Reconstruction of Ill-posed Inverse Problems, In Preparation.
- M. Maggioni, J. Miller, M. Zhong. Semi-supervised Learning of Celestial Dynamis from Modern Ephemeris, In Preparation.
- M. Maggioni, J. Miller, H. Qiu, M. Zhong. Learning interaction kernels for agent systems on Riemannian manifolds, submitted (arXiv link available upon request).
2020
- J. Miller, S. Tang, M. Zhong and M. Maggioni. Learning theory for inferring interaction kernels in second-order interacting agent systems, submitted (arXiv page).
- E. Tadmor, M. Zhong. Sparse Recovery of Noisy Data Using the LASSO Method, submitted (arXiv page).
[ Back to top ]
2019
- M. Zhong, J. Miller, M. Maggioni. Data-driven Discovery of Emergent Behaviors in Collective Dynamics (arXiv page), Physica D: nonlinear phenomenon, 411, 132542, October 2020.
[ Back to top ]
2018
- F. Lu, M. Zhong, S. Tang, M. Maggioni. Nonparametric inference of interaction laws in systems of agents from trajectory data (arXiv page), PNAS, 116 (3), 14424 - 14433, June 2019.
- M. Zhong. Time Relaxation with Iterative Modified Lavrentiev Regularization, ArXiv e-prints, September 2018.
- N. Mays, M. Zhong. Iterative Refinement of a Modified Lavrentiev Regularization Method for De-convolution of the Discrete Helmholtz type Differential Filter, ArXiv e-prints, January 2018.
[ Back to top ]
2016
- M. Zhong. Hierarchical Reconstruction Method for Solving Ill-posed Linear Inverse Problems, Ph.D. Thesis, May 2016.
[ Back to top ]
2011
- B. Ganis, I. Yotov, M. Zhong. A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types, SIAM J. Sci. Comp., 33 (3), 1439 - 1474, June 2011.
[ Back to top ]