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Signal Processing on the Permutahedron: Tight Spectral Frames for Ranked Data Analysis
Ranked data sets, where m judges/voters specify a preference ranking of n objects/candidates, are increasingly prevalent in contexts such as political elections, computer vision, recommender systems, and bioinformatics.
Transition matrices between Young's natural and seminormal representations
We derive a formula for the entries in the change-of-basis matrix between Young's seminormal and natural representations of the symmetric group.
Representation Theory Combinatorics 05E10, 05E18, 20C08, 0C30
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