Chapter 11Multiscale Analysis of Complex Networks
In the previous two chapters, we discussed frequency analysis of complex network data using the graph Fourier transform (GFT). Being a global transform, the GFT has the capability of capturing global variations in a graph signal; however, it fails to identify the local vatiations. In classical signal processing, wavelet transforms have been extensively used for extracting local as well as global information from the data. Wavelets have the capability to simultaneously localize a signal content in both time and frequency that allows us to extract information from the data at various scales. Similarly, wavelet-like transforms for network data give us a means to analyze the network data at various ...
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