11 citations · 13 across the 11 of their papers we have counts for
11 papers
Positivity loss in bandlimited spectral reproduction on spheres
Hao-Ning Wu
How small can the positivity loss be for an -bandlimited spectral operator that exactly reproduces all modes up to degree ? For spherical polynomial approximation on $\mathbb…
Superconvergence and aliasing saturation in Sloan iteration for spherical integral equations
Hao-Ning Wu
Sloan iteration raises the convergence order of Galerkin and degenerate-kernel approximations to second-kind integral equations. After quadrature discretization, these become a dis…
Nearly tight framelet systems from nested Marcinkiewicz--Zygmund measures on compact Riemannian manifolds
Hao-Ning Wu, Xiaosheng Zhuang
Tight framelet systems on manifolds provide exact energy preservation and one-pass reconstruction, but their standard semi-discretization relies on polynomial-exact quadrature rule…
When do perturbed Chebyshev--Lobatto points remain Chebyshev?
Hao-Ning Wu
Chebyshev points are distinguished in polynomial interpolation by the logarithmic growth of their Lebesgue constants. This paper asks a simple question: how much can Chebyshev poin…
Hyperinterpolation beyond exact cubature: a spectral multiplier approach
Hao-Ning Wu
We study hyperinterpolation and its spectral multiplier variants on the sphere under weak cubature assumptions formulated through Sobolev discrepancy estimates. In contrast with cl…
The path of hyperinterpolation: A survey
Congpei An, Jiashu Ran, Hao-Ning Wu
This paper surveys hyperinterpolation, a quadrature-based approximation scheme. We cover classical results, provide examples on several domains, review recent progress on relaxed q…
Spherical configurations and quadrature methods for integral equations of the second kind
Congpei An, Hao-Ning Wu
In this paper, we propose and analyze a product integration method for the second-kind integral equation with weakly singular and continuous kernels on the unit sphere $\mathbb{S}^…
A Decentralized Primal-Dual Method with Quasi-Newton Tracking
Liping Wang, Hao Wu, Hongchao Zhang
This paper considers the decentralized optimization problem of minimizing a finite sum of strongly convex and twice continuously differentiable functions over a fixed-connected und…
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…
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…
Regularized Weighted Discrete Least Squares Approximation Using Gauss Quadrature Points
Congpei An, Hao-Ning Wu
We consider polynomial approximation over the interval by regularized weighted discrete least squares methods with or regularization, respectively. As t…