X. Xue

collaborators

3 papers

math.OC2021

Smoothing fast iterative hard thresholding algorithm for $ℓ_{0}$ regularized nonsmooth convex regression problem

Fan Wu, Wei Bian, Xiaoping Xue

We investigate a class of constrained sparse regression problem with cardinality penalty, where the feasible set is defined by box constraint, and the loss function is convex, but…

math.AP2021

Optimal decay rates and space-time analyticity of solutions to the Patlak-Keller-Segel equations

Cong Wang, Yu Gao, Xiaoping Xue

Based on some elementary estimates for the space-time derivatives of the heat kernel, we use a bootstrapping approach to establish the optimal decay rates for the $L^q(\mathbb{R}^d…

math.AP2020

Global existence and spatial analyticity for a nonlocal flux with fractional diffusion

Yu Gao, Cong Wang, Xiaoping Xue

In this paper, we study a one dimensional nonlinear equation with diffusion $- ν (- \partial_{xx})^{\frac{α}{2}}$ for $0 \leq α \leq 2$ and $ν > 0$ . We use a viscous-splitting algorithm to…

Smoothing fast iterative hard thresholding algorithm for ℓ0​ regularized nonsmooth convex regression problem

Optimal decay rates and space-time analyticity of solutions to the Patlak-Keller-Segel equations

Global existence and spatial analyticity for a nonlocal flux with fractional diffusion

Smoothing fast iterative hard thresholding algorithm for $ℓ_{0}$ regularized nonsmooth convex regression problem