4 papers
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…
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…