2 papers
stat.ML2025
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…
math.ST2024
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…