Yu, Xinyue, and Hayden Schaeffer. "Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space." In press at Journal of Machine Learning for Modeling and Computing. arXiv preprint arXiv:2512.17884 (2025).
Lyu, Liyao*, Xinyue Yu*, and Hayden Schaeffer. "MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data." Submitted to Journal of Computational Physics. arXiv preprint arXiv:2604.00333 (2026).
[Preprint]
Lyu, Liyao, Xinyue Yu, and Hayden Schaeffer. "Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics." Submitted to SIAM Multiscale Modeling and Simulation. arXiv preprint arXiv:2606.06809 (2026).
[Preprint]