3 citations · 3 across the 4 of their papers we have counts for
4 papers
Statistical Guarantees of Group-Invariant GANs
Ziyu Chen, Markos A. Katsoulakis, Luc Rey-Bellet +1
This work presents the first statistical performance guarantees for group-invariant generative models. Many real data, such as images and molecules, are invariant to certain group…
On the Implicit Bias of Linear Equivariant Steerable Networks
Ziyu Chen, Wei Zhu
We study the implicit bias of gradient flow on linear equivariant steerable networks in group-invariant binary classification. Our findings reveal that the parameterized predictor…
Sample Complexity of Probability Divergences under Group Symmetry
Ziyu Chen, Markos A. Katsoulakis, Luc Rey-Bellet +1
We rigorously quantify the improvement in the sample complexity of variational divergence estimations for group-invariant distributions. In the cases of the Wasserstein-1 metric an…
Representation-Agnostic Shape Fields
Xiaoyang Huang, Jiancheng Yang, Yanjun Wang +5
3D shape analysis has been widely explored in the era of deep learning. Numerous models have been developed for various 3D data representation formats, e.g., MeshCNN for meshes, Po…