Research

Publications

* indicates alphabetical order of last names.

• S. Cascio, C. Chandler, L. Zhang, S. Sinno, B. Gao, S. Onkar, T. Bruno, D. Vignali, H. Mahdi, H. Osmanbeyoglu, A. Vlad, L. Coffman, and R. Buckanovich. Cancer associated MSC drive tumor immune exclusion and resistance to immunotherapy which can be overcome by hedgehog inhibition. Under Review.
• Y. Sun, L. Zhang, and H. Schaeffer. NeuPDE: neural network based ordinary and partial differential equations for modeling time-dependent data. Proceedings of Machine Learning Research, 107:352–372, 2020.
• * H. Schaeffer, G. Tran, R. Ward, and L. Zhang. Extracting structured dynamical systems using sparse optimization with very few samples. Multiscale Modeling & Simulation, 18(4):1435–1461, 2020.
  • code
• L. Zhang and H. Schaeffer. Forward stability of ResNet and its variants. Journal of Mathematical Imaging and Vision, 62:328–351, 2020.
• L. Zhang and H. Schaeffer. On the convergence of the SINDy algorithm. Multiscale Modeling & Simulation, 17(3):948–972, 2019.
  • code
• L. Zhang and H. Schaeffer. Stability and error estimates of BV solutions to the Abel inverse problem. Inverse Problems, 34(10):105003, 2018.

Funding

• National Natural Science Foundation of China (NSFC), Youth Program, 12101342, “Application of Sparse Learning in Dynamic Model Identification.” January 2022 to December 2024, RMB 240,000.