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Proportional Representation in Metric Spaces and Low-Distortion Committee Selection

Proportional Representation in Metric Spaces and Low-Distortion Committee Selection

We introduce a novel definition for a small set R of k points being "representative" of a larger set in a metric space. Given a set V (e.g., documents or voters) to represent, and a set C of possible representatives, our criterion requires that for any subset S comprising a …