A structural reduction to local medians enables new constant-round MPC (2-α) and (2-ζ) approximation algorithms for 1-median rank aggregation under multiple distances, plus an improved 1.968-approximation for Ulam that extends to weighted cases.
Goodrich, Nodari Sitchinava, and Qin Zhang
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A Scalable and Unified Framework to Weighted Rank Aggregation
A structural reduction to local medians enables new constant-round MPC (2-α) and (2-ζ) approximation algorithms for 1-median rank aggregation under multiple distances, plus an improved 1.968-approximation for Ulam that extends to weighted cases.