30 citations · 122 across the 25 of their papers we have counts for
25 papers
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…
Permutation Equivariant Graph Framelets for Heterophilous Graph Learning
Jianfei Li, Ruigang Zheng, Han Feng +2
The nature of heterophilous graphs is significantly different from that of homophilous graphs, which causes difficulties in early graph neural network models and suggests aggregati…
Spherical framelets from spherical designs
Yuchen Xiao, Xiaosheng Zhuang
In this paper, we investigate in detail the structures of the variational characterization of the spherical -design, its gradient , and its Hessian $\m…
Convolutional Neural Networks for Spherical Signal Processing via Spherical Haar Tight Framelets
Jianfei Li, Han Feng, Xiaosheng Zhuang
In this paper, we develop a general theoretical framework for constructing Haar-type tight framelets on any compact set with a hierarchical partition. In particular, we construct a…
Regularization with Multilevel Non-stationary Tight Framelets for Image Restoration
Yan-ran Li, Raymond H. F. Chan, Lixin Shen +1
Variational regularization models are one of the popular and efficient approaches for image restoration. The regularization functional in the model carries prior knowledge about th…
Decimated Framelet System on Graphs and Fast G-Framelet Transforms
Xuebin Zheng, Bingxin Zhou, Yu Guang Wang +1
Graph representation learning has many real-world applications, from super-resolution imaging, 3D computer vision to drug repurposing, protein classification, social networks analy…