3 papers
math.ST2026
Mixture and separation of log-concave measures
March T. Boedihardjo, Yao Xie
For a two-component log-concave mixture model, we investigate the extent to which the weight, mean, and covariance of each component distribution can be accurately recovered when g…
stat.ML2025
Statistical and Computational Guarantees of Kernel Max-Sliced Wasserstein Distances
Jie Wang, March Boedihardjo, Yao Xie
Optimal transport has been very successful for various machine learning tasks; however, it is known to suffer from the curse of dimensionality. Hence, dimensionality reduction is d…
cs.LG2024
Regularization for Adversarial Robust Learning
Jie Wang, Rui Gao, Yao Xie
Despite the growing prevalence of artificial neural networks in real-world applications, their vulnerability to adversarial attacks remains a significant concern, which motivates u…