Parent Finding [Morrison 02, 03] lay out a root(n) subset with [Chalmers 96] for all remaining points find "parent": laid-out point closest in high D place point close to this parent O(n^5/4) algorithm Issues which distance metric: Euclidean or other? computation naive: O(n^3) better: O(n^2) Chalmers 96 hybrid: O(n sqrt(n)) 16