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» Tight lower bounds for halfspace range searching
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STOC
2006
ACM
166views Algorithms» more  STOC 2006»
15 years 10 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
80
Voted
COMPGEOM
2009
ACM
15 years 4 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
ECCC
2010
117views more  ECCC 2010»
14 years 8 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...
CORR
2010
Springer
249views Education» more  CORR 2010»
14 years 9 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder
FOCS
2008
IEEE
15 years 4 months ago
A Geometric Approach to Lower Bounds for Approximate Near-Neighbor Search and Partial Match
This work investigates a geometric approach to proving cell probe lower bounds for data structure problems. We consider the approximate nearest neighbor search problem on the Bool...
Rina Panigrahy, Kunal Talwar, Udi Wieder