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 7, no. 3 (2026): 1-47. DOI: 10.1615/JMachLearnModelComput.2026063451.
Lyu, Liyao*, Xinyue Yu*, and Hayden Schaeffer. "MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data." Journal of Computational Physics 569 (2026): 115467. DOI: 10.1016/j.jcp.2026.115467.
Lyu, Liyao, Xinyue Yu, and Hayden Schaeffer. "Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics." Under review at SIAM Multiscale Modeling and Simulation. arXiv preprint arXiv:2606.06809 (2026).
[Preprint]
Lyu, Liyao*, Xinyue Yu*, David Schneidinger, and Hayden Schaeffer. "Wasserstein Moment Nudging for Vlasov-Poisson Data Assimilation." Under review at Computer Methods in Applied Mechanics and Engineering. arXiv preprint arXiv:2608.21725 (2026).
[Preprint]
Sule, Shashank*, Xinyue Yu*, Boonam Shin, Yuxuan Liu, Abolfazl Hashemi, and Hayden Schaeffer. "Loss Curvature as a Sampling-Free Proxy for Memorization in Diffusion Models." arXiv preprint arXiv:2610.19042 (2026).
[Preprint]