Diverse Near Neighbor Problem - Archive ouverte HAL Access content directly
Conference Papers Year : 2013

Diverse Near Neighbor Problem


Motivated by the recent research on diversity-aware search, we investigate the k-diverse near neighbor reporting problem. The problem is defined as follows: given a query point q, report the maximum diversity set S of k points in the ball of radius r around q. The diversity of a set S is measured by the minimum distance between any pair of points in S (the higher, the better). We present two approximation algorithms for the case where the points live in a d-dimensional Hamming space. Our algorithms guarantee query times that are sub-linear in n and only polynomial in the diversity parameter k, as well as the dimension d. For low values of k, our algorithms achieve sub-linear query times even if the number of points within distance r from a query q is linear in n. To the best of our knowledge, these are the first known algorithms of this type that offer provable guarantees.

Dates and versions

hal-00923544 , version 1 (06-01-2014)



Sofiane Abbar, Sihem Amer-Yahia, Piotr Indyk, Sepideh Mahabadi, Kasturi Varadarajan. Diverse Near Neighbor Problem. SoCG 2013 - Symposium on Computational Geometry, Jun 2013, Rio de Janeiro, Brazil. pp.207-214, ⟨10.1145/2462356.2462401⟩. ⟨hal-00923544⟩
124 View
0 Download



Gmail Facebook Twitter LinkedIn More