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Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames
David I Shuman, Christoph Wiesmeyr, Nicki Holighaus +1
We consider the problem of designing spectral graph filters for the construction of dictionaries of atoms that can be used to efficiently represent signals residing on weighted gra…
A Multiscale Pyramid Transform for Graph Signals
David I Shuman, Mohammad Javad Faraji, Pierre Vandergheynst
Multiscale transforms designed to process analog and discrete-time signals and images cannot be directly applied to analyze high-dimensional data residing on the vertices of a weig…
Vertex-Frequency Analysis on Graphs
David I Shuman, Benjamin Ricaud, Pierre Vandergheynst
One of the key challenges in the area of signal processing on graphs is to design dictionaries and transform methods to identify and exploit structure in signals on weighted graphs…