Publications

Scientific Machine Learning

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

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

• Z. Song, C. Wang, H. Yang*. Finite Expression Method to Learn Dynamics on Complex Networks. Submitted. [pdf]

• Z. Song, M. Cameron, H. Yang*. A Finite Expression Method for Solving High-Dimensional Committor Problems. Submitted. [pdf]

• R. Spencer, R. Neff, C. Bi, R. Balan, Z. Song*. Breaking the CRLB Barrier: Decreasing Mean Squared Error in Parameter Estimation Through Introduction of Regularization Bias.

Dynamical Systems

• Z. Song*, J. Song, P. Ren, B. Erichson, M. Mahoney, X. Li. Learning Dynamics from Spatiotemporal Data with Deep Learning. In preparation