In the big data era, subsampling or sub-data selection techniques are often adopted to extract a fraction of informative individuals from the massive data. Existing subsampling algorithms focus mainly on obtaining a representative subset to achieve the best estimation accuracy under a given class of...

Recently, we constructed a class of nonlocal Poisson model on manifold under Dirichlet boundary with global $\mathcal{O}(\delta^2)$ truncation error to its local counterpart, where $\delta$ denotes the nonlocal horizon parameter. In this paper, the well-posedness of such manifold model is studied. W...

Variational and hemivariational inequalities, as a class of important nonlinear problems, are frequently encountered in various scientific and engineering applications. Traditional numerical methods have some limitations for these problems. In this talk, based on our earlier work (Huang-Wang-Yang (...

In this talk, we will introduce the minimum modulus problem on covering systems. It was posed by Erdős in 1950, who asked whether the minimum modulus of a covering system with distinct moduli is bounded. In 2007, Filaseta, Ford, Konyagin, Pomerance and Yu affirmed it if the reciprocal sum of the mod...

I will briefly outline open problems of the theoretical high energy physics emphasizing the concept of naturalness. Then I will introduce my current and planned research mainly in Quantum gravity, Cosmology and Black holes.

This talk presents novel 2-field finite element solvers for both linear and nonlinear poroelasticity problems on convex quadrilateral meshes. The Darcy flow is discretized by the weak Galerkin (WG) finite element method, which establishes the discrete weak gradient and numerical velocity in the Arbo...