Selected Publications

* denotes equal contribution. Full list of papers available on Google Scholar page.

Preprints

• FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model,
  Z. Song*, J. Yuan*, H. Yang. [pdf] [ML + dynamical systems]

• A Fast Algorithm for the Finite Expression Method in Learning Dynamics on Complex Networks,
  Z. Song, C. Wang, H. Yang. [pdf] [ML + physics]

• Forecasting High-dimensional Spatio-Temporal Systems from Sparse Measurements,
  J. Song*, Z. Song*, P. Ren, N. Erichson, M. Mahoney, X. Li. Submitted. [ML + Fluid Dynamics]

• Myelin Mapping in the Human Brain Using an Empirical Extension of the Ridge Regression Theorem,
  G. Hampton, R. Neff, Z. Song, M. Bouhrara, R. Balan, R. Spencer. Submitted. [Medical Imaging]

Journal Publications

• A Finite Expression Method for Solving High-Dimensional Committor Problems,
  Z. Song, M. Cameron, H. Yang,
  SIAM Journal on Scientific Computing, Accepted. [pdf] [code] [ML + PDEs + Chemical Physics]