We will discuss connections between Data parameterization/analysis done in a multi-resolution fashion, and the Traveling Salesman problem (TSP).
This will involve generalizations of the TSP to a setting where one is looking for a nice "2-dimensional structure" (or 3,4,...) as opposed to the 1-dimensional structure given by the classical TSP. This subject has a vast mathematical theory behind it for subsets of Euclidean space (Jones, David, Semmes etc.) and is also the topic of current research in the setting of metric spaces.
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