An Overview of Spectral Graph Wavelets

Many data science problems use data collected from networks. Such data usually involve graph signals, which require methods adapted to take the network structure into account. Wavelet methods are important tools in the statistical and signal processing literature and can boost graph data analysis. This chapter describes how wavelets can be applied to graphs. We focus on the spectral graph wavelet transform, a widely used method in the graph signal processing literature. We provide an overview of this wavelet transform and illustrate its application on real data about COVID-19 in Brazil.