Vertex-Frequency Analysis: A Way to Localize Graph Spectral Components [Lecture Notes]
Currently, brain and social networks are examples of new data types that are massively acquired and disseminated [1]. These networks typically consist of vertices (nodes) and edges (connections between nodes). Usually, information is conveyed through the strength of connection among nodes, but in recent years, it has been discovered that valuable information may also be conveyed in signals that occur on each vertex. However, traditional signal processing often does not offer reliable tools and algorithms to analyze such new data types. This is especially true for cases where networks (e.g., the strength of connections), or signals on vertices, have properties that change over the network.