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Abstract:
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Multiresolution analysis (MRA) is well established for inferring signals on the real line and Euclidean spaces, but generalizing this theory to spaces with less regular structure, such as graphs, is not self-evident. In this talk we discuss the connection between the structure of metric spaces and the structure of MRAs defined on them and review some recent proposals for generalizing multiresolution analysis and wavelets to graphs. We discuss one specific framework based on Multiresolution Matrix Factorization (MMF) in detail, including its computational aspects.
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