Research

During my PhD, I have focused on understanding the theoretical limits of equivariant neural networks. My work includes studying how to handle different forms of symmetry breaking, analyzing asymptotic trade-offs between runtime and expressivity for core operations, and investigating loss landscape geometry of equivariant networks. Recently, I have also become interested in neural quantum states and the representation of antisymmetric functions.

More broadly, I am driven by a fundamental curiosity. I enjoy the process of distilling the essence of some phenomenon in a complex system, and then thoroughly analyzing, understanding, and generalizing it.

Publications

Please also see my Google Scholar.


Matching the Optimal Denoiser in Point Cloud Diffusion with (Improved) Rotational Alignment
Ameya Daigavane, YuQing Xie, Bodhi Vani, Saeed Saremi, Joseph Kleinhenz, et al.
arXiv preprint arXiv:2510.03335, 2025

Artificial intelligence for science in quantum, atomistic, and continuum systems
Xuan Zhang, Limei Wang, Jacob Helwig, Youzhi Luo, Cong Fu, et al.
Foundations and TrendsĀ® in Machine Learning, 2025

A Tale of Two Symmetries: Exploring the Loss Landscape of Equivariant Models
YuQing Xie, Tess Smidt
The Thirty-ninth Annual Conference on Neural Information Processing Systems, 2025

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products
YuQing Xie, Ameya Daigavane, Mit Kotak, Tess Smidt
Forty-second International Conference on Machine Learning, 2025

Equivariant Symmetry Breaking Sets
YuQing Xie, Tess Smidt
Transactions on Machine Learning Research, 2024

Quasinormal modes of small Schwarzschild--de Sitter black holes
Peter Hintz, YuQing Xie
Journal of Mathematical Physics, 2022

Quasinormal modes and dual resonant states on de Sitter space
Peter Hintz, YuQing Xie
Physical Review D, 2021