Publications

• PreprintarXiv:2609.16406

@article{chen2026randomfeature,
  title = {Physics-Informed Random Feature Neural Networks for Solving PDEs},
  author = {Chen, C. and Liao, C. and Zhong, M.},
  year = {2026},
  eprint = {2609.16406},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2609.12004

@article{hao2026steadystates,
  title = {Learning Interaction Kernels from Collective Steady States},
  author = {Hao, B. and Maggioni, M. and Zhong, M.},
  year = {2026},
  eprint = {2609.12004},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2608.25181

@article{desilva2026forces,
  title = {Simultaneous Inference of Environmental and Interaction Forces in Collective Dynamics},
  author = {de Silva, N. and Zhong, M. and Greene, J.},
  year = {2026},
  eprint = {2608.25181},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2607.27681

@article{hao2026eventstructured,
  title = {Event-Structured Physics-Informed Neural Networks for Differentiable Critical Clearing Boundaries},
  author = {Hao, B. and Hu, C. and Zhong, M. and Wang, R.},
  year = {2026},
  eprint = {2607.27681},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2605.17709
• CodeUrban Crime Simulation

@article{hao2026crimehotspot,
  title = {Crime Hotspot Dynamics in Residential Burglary Models with Police Response},
  author = {Hao, B. and Mily, K. and Quaini, A. and Zhong, M.},
  year = {2026},
  eprint = {2605.17709},
  archivePrefix = {arXiv}
}

• PublishedPublisher page
• Code3D PINN

@article{shang2026dimension,
  title = {Dimension Domain Co-Decomposition: Solving PDEs with Interpretability},
  author = {Shang, S. and Zhong, M. and Wang, R.},
  journal = {Transactions on Machine Learning Research},
  year = {2026},
  url = {https://openreview.net/forum?id=kuzkynVyRq}
}

• PublishedPublisher page
• Code3D PINN

@inproceedings{shang2026threedpinns,
  title = {3D-PINNS: A Unified Framework for Dimension-Wise Interpretability and Adaptive Domain Decomposition},
  author = {Shang, S. and Zhong, M. and Wang, R.},
  booktitle = {ICLR Workshop on AI and PDE},
  year = {2026},
  url = {https://openreview.net/forum?id=oGxlZSGc2i}
}

• PreprintarXiv:2510.23381
• PublishedPublisher page
• CodeLearning Keller Segel

@article{chen2026kellersegel,
  title = {Learning profile functions in Keller-Segel models},
  author = {Chen, C. and Liu, C. and Zhong, M.},
  journal = {Advances in Computational Science and Engineering},
  volume = {10},
  pages = {21-46},
  year = {2026},
  doi = {10.3934/acse.2026016},
}

• PreprintarXiv:2508.11055
• PublishedPublisher page
• CodeUrban Crime Simulation

@article{hao2026burglary,
  title = {A Finite Element Framework for Simulating Residential Burglary in Realistic Urban Geometries},
  author = {Hao, B. and Mily, K. and Quaini, A. and Zhong, M.},
  journal = {Mathematical Models and Methods in Applied Sciences},
  volume = {36},
  number = {5},
  pages = {1019--1050},
  year = {2026},
  doi = {10.1142/S0218202526500193}
}

• PreprintarXiv:2507.11767
• PublishedPublisher page
• CodeLTE

@article{chen2026sedona,
  title = {SEDONA-GesaRaT: A Deep Learning Accelerated Radiative Transfer Program for 3D Supernova Simulations},
  author = {Chen, X. and Braga-Neto, U. and Wang, L. and Kasen, D. and Liu, Z. and Röpke, F. K. and Zhong, M. and Jeffery, D. J.},
  journal = {The Astrophysical Journal},
  volume = {1006},
  number = {1},
  pages = {86},
  year = {2026},
  doi = {10.3847/1538-4357/ae82fb}
}

• PreprintarXiv:2503.01077

@article{guo2025structurednoise,
  title = {Learning Stochastic Dynamical Systems with Structured Noise},
  author = {Guo, Z. and Greene, J. and Zhong, M.},
  year = {2025},
  eprint = {2503.01077},
  archivePrefix = {arXiv}
}

• PublishedPublisher page

@inproceedings{shang2025noise,
  title = {Noise-Based Regularized Training for Diffusion Models},
  author = {Shang, Y. and Lu, Y. and Feng, J. and Zhong, M. and Yan, Y.},
  booktitle = {19th International Conference on Machine Vision Applications},
  pages = {1--6},
  year = {2025},
  doi = {10.23919/MVA65244.2025.11175053}
}

• PreprintarXiv:2411.00002

@article{guo2024noiseaware,
  title = {Noise-Aware System Identification for High-Dimensional Stochastic Dynamics},
  author = {Guo, Z. and Cialenco, I. and Zhong, M.},
  year = {2024},
  eprint = {2411.00002},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2404.16189
• PublishedPublisher page
• CodeHard-Constrained PINN

@article{hao2026stability,
  title = {Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter},
  author = {Hao, B. and Liu, C. and Braga-Neto, U. and Wang, L. and Zhong, M.},
  journal = {Foundations of Data Science},
  year = {2026},
  doi = {10.3934/fods.2026016}
}

• PreprintarXiv:2404.05817

@article{zhong2024label,
  title = {Label Propagation for Physics-Informed Neural Networks and Physics-Informed Gaussian Processes},
  author = {Zhong, M. and Liu, D. and Arroyave, R. and Braga-Neto, U.},
  year = {2024},
  eprint = {2404.05817},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2403.02595
• PublishedPublisher page

@inproceedings{guo2024stochastic,
  title = {Learning Stochastic Dynamics from Data},
  author = {Guo, Z. and Cialenco, I. and Zhong, M.},
  booktitle = {ICLR Workshop on AI4DifferentialEquations in Science},
  year = {2024},
  url = {https://openreview.net/forum?id=MdXtFDhy0H}
}

• PreprintarXiv:2311.12947
• PublishedPublisher page

@inproceedings{wang2026uq,
  title = {PINNs-Based Uncertainty Quantification for Transient Stability Analysis},
  author = {Wang, R. and Zhong, M. and Xu, K. and Sánchez-Cortés, L. G. and de Cominges Guerra, I.},
  booktitle = {9th International Conference on Electrical Engineering and Green Energy},
  pages = {397--401},
  year = {2026},
  doi = {10.1109/CEEGE70076.2026.11637840}
}

• PreprintarXiv:2311.00875
• PublishedPublisher page
• CodeLearning Dynamics

@incollection{feng2024collective,
  title = {Learning Collective Behaviors from Observation},
  author = {Feng, J. and Zhong, M.},
  booktitle = {Explorations in the Mathematics of Data Science},
  publisher = {Springer},
  pages = {101--132},
  year = {2024},
  doi = {10.1007/978-3-031-66497-7_6}
}

• PreprintarXiv:2309.02342
• PublishedPublisher page
• Code1D Swarmalators

@article{hao2023swarmalator,
  title = {Attractive and Repulsive Interactions in the One-Dimensional Swarmalator Model},
  author = {Hao, B. and Zhong, M. and O'Keeffe, K.},
  journal = {Physical Review E},
  volume = {108},
  pages = {064214},
  year = {2023},
  doi = {10.1103/PhysRevE.108.064214}
}

• PreprintarXiv:2307.09696
• PublishedPublisher page
• CodeSaner Deep Registration

@inproceedings{duan2023saner,
  title = {Towards Saner Deep Image Registration},
  author = {Duan, B. and Zhong, M. and Yan, Y.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  pages = {12459--12468},
  year = {2023}
}

• PreprintarXiv:2302.10403
• PublishedPublisher page

@article{greene2023hierarchy,
  title = {The Emergence of Lines of Hierarchy in Collective Motion of Biological Systems},
  author = {Greene, J. M. and Tadmor, E. and Zhong, M.},
  journal = {Physical Biology},
  volume = {20},
  number = {5},
  pages = {055001},
  year = {2023},
  doi = {10.1088/1478-3975/acdc79}
}

• PreprintarXiv:2302.06732

@article{gerew2023concurrent,
  title = {Concurrent Emergence of Clustering, Flocking and Synchronization in Systems of Interacting Agents},
  author = {Gerew, T. and Zhong, M.},
  year = {2023},
  eprint = {2302.06732},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2211.05219

@article{chen2022supernova,
  title = {Using Physics-Informed Neural Networks for Supernova Radiative Transfer Simulation},
  author = {Chen, X. and Jeffery, D. J. and Zhong, M. and McClenny, L. and Braga-Neto, U. and Wang, L.},
  year = {2022},
  eprint = {2211.05219},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2208.02758
• PublishedPublisher page
• CodeLearning Dynamics

@article{feng2022variables,
  title = {Learning Interaction Variables and Kernels from Observations of Agent-Based Systems},
  author = {Feng, J. and Maggioni, M. and Martin, P. and Zhong, M.},
  journal = {IFAC-PapersOnLine},
  volume = {55},
  number = {30},
  pages = {162--167},
  year = {2022},
  doi = {10.1016/j.ifacol.2022.11.046}
}

• PreprintarXiv:2207.06374
• PublishedPublisher page

@inproceedings{park2022grassmannian,
  title = {Grassmannian Packings: Trust Region Stochastic Tuning for Matrix Incoherence},
  author = {Park, J. and Saltijeral, C. and Zhong, M.},
  booktitle = {58th Annual Allerton Conference on Communication, Control, and Computing},
  pages = {1--6},
  year = {2022},
  doi = {10.1109/Allerton49937.2022.9929393}
}

• PreprintarXiv:2203.08802
• PublishedPublisher page

@article{coutinho2023viscosity,
  title = {Physics-Informed Neural Networks with Adaptive Localized Artificial Viscosity},
  author = {Coutinho, E. J. R. and Dall'Aqua, M. and McClenny, L. and Zhong, M. and Braga-Neto, U. and Gildin, E.},
  journal = {Journal of Computational Physics},
  volume = {489},
  pages = {112265},
  year = {2023},
  doi = {10.1016/j.jcp.2023.112265}
}

• PreprintarXiv:2108.11894
• CodeLearning Dynamics

@article{maggioni2021celestial,
  title = {Machine Learning for Discovering Effective Interaction Kernels Between Celestial Bodies from Ephemerides},
  author = {Maggioni, M. and Miller, J. and Zhong, M.},
  year = {2021},
  eprint = {2108.11894},
  archivePrefix = {arXiv}
}

• PreprintarXiv:2102.00327
• PublishedPublisher page
• CodeLearning Dynamics

@inproceedings{maggioni2021riemannian,
  title = {Learning Interaction Kernels for Agent Systems on Riemannian Manifolds},
  author = {Maggioni, M. and Miller, J. and Qiu, H. and Zhong, M.},
  booktitle = {Proceedings of the 38th International Conference on Machine Learning},
  series = {Proceedings of Machine Learning Research},
  volume = {139},
  pages = {7290--7300},
  year = {2021}
}

• PreprintarXiv:2010.03729
• PublishedPublisher page
• CodeLearning Dynamics

@article{miller2023learning,
  title = {Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems},
  author = {Miller, J. and Tang, S. and Zhong, M. and Maggioni, M.},
  journal = {Sampling Theory, Signal Processing, and Data Analysis},
  volume = {21},
  pages = {21},
  year = {2023},
  doi = {10.1007/s43670-023-00055-9}
}

• PreprintarXiv:2004.04348
• PublishedPublisher page

@article{foucart2023sparsity,
  title = {On the Sparsity of Lasso Minimizers in Sparse Data Recovery},
  author = {Foucart, S. and Tadmor, E. and Zhong, M.},
  journal = {Constructive Approximation},
  volume = {57},
  pages = {901--919},
  year = {2023},
  doi = {10.1007/s00365-022-09594-1}
}

• PreprintarXiv:1912.11123
• PublishedPublisher page
• CodeLearning Dynamics

@article{zhong2020emergent,
  title = {Data-Driven Discovery of Emergent Behaviors in Collective Dynamics},
  author = {Zhong, M. and Miller, J. and Maggioni, M.},
  journal = {Physica D: Nonlinear Phenomena},
  volume = {411},
  pages = {132542},
  year = {2020},
  doi = {10.1016/j.physd.2020.132542}
}

• PreprintarXiv:1812.06003
• PublishedPublisher page
• CodeLearning Dynamics

@article{lu2019nonparametric,
  title = {Nonparametric Inference of Interaction Laws in Systems of Agents from Trajectory Data},
  author = {Lu, F. and Zhong, M. and Tang, S. and Maggioni, M.},
  journal = {Proceedings of the National Academy of Sciences},
  volume = {116},
  number = {29},
  pages = {14424--14433},
  year = {2019},
  doi = {10.1073/pnas.1822012116}
}

• PreprintarXiv:1809.09517

@article{zhong2018relaxation,
  title = {Time Relaxation with Iterative Modified Lavrentiev Regularization},
  author = {Zhong, M.},
  year = {2018},
  eprint = {1809.09517},
  archivePrefix = {arXiv}
}

• PreprintarXiv:1801.08913

@article{mays2018refinement,
  title = {Iterative Refinement of a Modified Lavrentiev Regularization Method for De-Convolution of the Discrete Helmholtz Type Differential Filter},
  author = {Mays, N. and Zhong, M.},
  year = {2018},
  eprint = {1801.08913},
  archivePrefix = {arXiv}
}

• PublishedPublisher page

@phdthesis{zhong2016hierarchical,
  title = {Hierarchical Reconstruction Method for Solving Ill-Posed Linear Inverse Problems},
  author = {Zhong, M.},
  school = {University of Maryland, College Park},
  year = {2016}
}

• PublishedPublisher page

@article{ganis2011mortar,
  title = {A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types},
  author = {Ganis, B. and Yotov, I. and Zhong, M.},
  journal = {SIAM Journal on Scientific Computing},
  volume = {33},
  number = {3},
  pages = {1439--1474},
  year = {2011},
  doi = {10.1137/100790689}
}