Shift-invariant, bandlimited and shift-invariant reproducing kernel spaces on undirected graphs
数学专题报告
报告题目(Title)：Shift-invariant, bandlimited and shift-invariant reproducing kernel spaces on undirected graphs
报告人(Speaker)：Qiyu Sun (孙颀彧, University of Central Florida)
地点(Place)：后主楼1124
时间(Time)：2025年5月30日 周五 10:00-11:00
邀请人(Inviter)：杨大春
报告摘要
A shift-invariant space of functions on the line is a linear space invariant under integer
shifts, which has been widely used in approximation theory, wavelet analysis, sampling theory,
Gabor analysis and many other mathematical and engineering fields.
In this talk, I will introduce the concept of graph shift-invariant space (GSIS) on an undirected finite graph, and study its bandlimiting, kernel reproducing and sampling properties.
Based on the nested Krylov structure of GSISs in the spatial domain, we propose a novel sampling and reconstruction algorithm with finite steps, with its performance
tested for flight delay dataset of the 50 busiest airports in the USA.
The talk is based on a joint paper with Seok-Young Chung.
