3 papers
math.ST2025
Variational Bernstein-von Mises theorem with increasing parameter dimension
Jiawei Yan, Peirong Xu, Tao Wang
Variational Bayes (VB) provides a computationally efficient alternative to Markov Chain Monte Carlo, especially for high-dimensional and large-scale inference. However, existing th…
math.AP2023
Discrete infinity Laplace equations on graphs and tug-of-war games
Fengwen Han, Tao Wang
We study the Dirichlet problem of the following discrete infinity Laplace equation on a subgraph with finite width $$Δ_{\infty} u(x) = \inf_{y \sim x}u(y)+\sup_{y \sim x}u(y)-2u(x)…
math.AP2022
Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball
Hui Guo, Tao Wang, Taishan Yi
This paper is concerned with the qualitative properties of the positive ground state solutions to the nonlocal Choquard type equation on a ball . First, we prove the radial sy…