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115
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COMPGEOM
2003
ACM
15 years 8 months ago
Shape fitting with outliers
Given a set H of n hyperplanes in IRd , we present an algorithm that ε-approximates the extent between the top and bottom k levels of the arrangement of H in time O(n+(k/ε)c), w...
Sariel Har-Peled, Yusu Wang
120
Voted
ICDT
2005
ACM
149views Database» more  ICDT 2005»
15 years 8 months ago
Approximately Dominating Representatives
We propose and investigate from the algorithmic standpoint a novel form of fuzzy query called approximately dominating representatives or ADRs. The ADRs of a multidimensional point...
Vladlen Koltun, Christos H. Papadimitriou
IPL
2007
81views more  IPL 2007»
15 years 2 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
138
Voted
TALG
2010
109views more  TALG 2010»
15 years 1 months ago
Facility location with hierarchical facility costs
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...
Zoya Svitkina, Éva Tardos
113
Voted
COMPGEOM
2009
ACM
15 years 9 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy