Yu, Xinyue, and Hayden Schaeffer. "Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space." Journal of Machine Learning for Modeling and Computing, vol. 7, no. 3, pp. 1-47. DOI: 10.1615/JMachLearnModelComput.2026063451 (2026).
Lyu, Liyao*, Xinyue Yu*, and Hayden Schaeffer. "MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data." Under review at 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]