2 papers
math.FA2024
On the existence and estimates of nested spherical designs
Ruigang Zheng, Xiaosheng Zhuang
In this paper, we prove the existence of a spherical -design formed by adding extra points to an arbitrarily given point set on the sphere and, subsequently, deduce the existenc…
eess.SP2023
Data-Adaptive Graph Framelets with Generalized Vanishing Moments for Graph Machine Learning
Ruigang Zheng, Xiaosheng Zhuang
In this paper, we propose a general framework for constructing tight framelet systems on graphs with localized supports based on partition trees. Our construction of framelets prov…