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» Sublinear Time Algorithms for Metric Space Problems
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APPROX
2005
Springer
103views Algorithms» more  APPROX 2005»
15 years 8 months ago
Where's the Winner? Max-Finding and Sorting with Metric Costs
Traditionally, a fundamental assumption in evaluating the performance of algorithms for sorting and selection has been that comparing any two elements costs one unit (of time, work...
Anupam Gupta, Amit Kumar
IPL
2008
111views more  IPL 2008»
15 years 2 months ago
Flying over a polyhedral terrain
We consider the problem of computing shortest paths in three-dimensions in the presence of a single-obstacle polyhedral terrain, and present a new algorithm that for any p 1, comp...
Hamid Zarrabi-Zadeh
SODA
1997
ACM
144views Algorithms» more  SODA 1997»
15 years 4 months ago
Methods for Achieving Fast Query Times in Point Location Data Structures
Given a collection S of n line segments in the plane, the planar point location problem is to construct a data structure that can e ciently determine for a given query point p the...
Michael T. Goodrich, Mark W. Orletsky, Kumar Ramai...
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
16 years 3 months ago
A tight bound on approximating arbitrary metrics by tree metrics
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
ICML
2003
IEEE
16 years 4 months ago
Exploration in Metric State Spaces
We present metric?? , a provably near-optimal algorithm for reinforcement learning in Markov decision processes in which there is a natural metric on the state space that allows t...
Sham Kakade, Michael J. Kearns, John Langford