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math.ST2025
Theory and Applications of Kernel Stein's Method on Riemannian Manifolds
Xiaoda Qu, Baba C. Vemuri
Distributional comparison is a fundamental problem in statistical data analysis with numerous applications in a variety of scientific and engineering fields. Numerous methods exist…
math.ST2023
Kernel Stein Discrepancy on Lie Groups: Theory and Applications
Xiaoda Qu, Xiran Fan, Baba C. Vemuri
Distributional approximation is a fundamental problem in machine learning with numerous applications across all fields of science and engineering and beyond. The key challenge in m…
math.ST2022
A Framework for Improving the Characterization Scope of Stein's Method on Riemannian Manifolds
Xiaoda Qu, Baba C. Vemuri
Stein's method has been widely used to achieve distributional approximations for probability distributions defined in Euclidean spaces. Recently, techniques to extend Stein's metho…