Projecting to O(doubling dimension) dimensions preserves near-optimal matchings, tours, spanning trees, and diversity scores up to a 1+epsilon factor.
Nearly linear time approximation schemes for Euclidean TSP and other geometric problems
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Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures
Projecting to O(doubling dimension) dimensions preserves near-optimal matchings, tours, spanning trees, and diversity scores up to a 1+epsilon factor.