13 citations · 48 across the 20 of their papers we have counts for
7 papers · 1 filter
Regularized Barzilai-Borwein method
Congpei An, Xin Xu
We develop a novel stepsize based on \BB method for solving some challenging optimization problems efficiently, named regularized \BB (RBB) stepsize. We indicate that RBB stepsize…
Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere
Congpei An, Hao-Ning Wu
This paper focuses on the approximation of continuous functions on the unit sphere by spherical polynomials of degree via hyperinterpolation. Hyperinterpolation of degree i…
Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points
Congpei An, Mou Cai
In this paper, we propose a fully discrete soft thresholding trigonometric polynomial approximation on named Lasso trigonometric interpolation. This approximation is an $…
Hard thresholding hyperinterpolation over general regions
Congpei An, Jiashu Ran
This paper proposes a novel variant of hyperinterpolation, called hard thresholding hyperinterpolation. This approximation scheme of degree leverages a hard thresholding operat…
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?
Congpei An, Hao-Ning Wu
Singular and oscillatory functions feature in numerous applications. The high-accuracy approximation of such functions shall greatly help us develop high-order methods for solving…
On the quadrature exactness in hyperinterpolation
Congpei An, Hao-Ning Wu
This paper investigates the role of quadrature exactness in the approximation scheme of hyperinterpolation. Constructing a hyperinterpolant of degree requires a positive-weight…
Enhanced total variation minimization for stable image reconstruction
Congpei An, Hao-Ning Wu, Xiaoming Yuan
The total variation (TV) regularization has phenomenally boosted various variational models for image processing tasks. We propose to combine the backward diffusion process in the…