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» Cell Probe Lower Bounds and Approximations for Range Mode
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ICALP
2010
Springer
13 years 9 months ago
Cell Probe Lower Bounds and Approximations for Range Mode
The mode of a multiset of labels, is a label that occurs at least as often as any other label. The input to the range mode problem is an array A of size n. A range query [i, j] mus...
Mark Greve, Allan Grønlund Jørgensen...
FOCS
2004
IEEE
13 years 8 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
11 years 7 months ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen
FOCS
2008
IEEE
13 years 11 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
STOC
2001
ACM
151views Algorithms» more  STOC 2001»
14 years 5 months ago
On the cell probe complexity of membership and perfect hashing
We study two fundamental static data structure problems, membership and perfect hashing, in Yao's cell probe model. The first space and bit probe optimal worst case upper bou...
Rasmus Pagh