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» Some Lower Bounds on Geometric Separability Problems
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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
STOC
2001
ACM
151views Algorithms» more  STOC 2001»
15 years 10 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
CORR
2006
Springer
77views Education» more  CORR 2006»
14 years 9 months ago
Quantization Bounds on Grassmann Manifolds and Applications to MIMO Communications
This paper considers the quantization problem on the Grassmann manifold Gn,p, the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space. The ch...
Wei Dai, Youjian Liu, Brian Rider
CDC
2009
IEEE
149views Control Systems» more  CDC 2009»
15 years 2 months ago
A constant-factor approximately optimal solution to the Witsenhausen counterexample
Abstract— Despite its simplicity (two controllers and otherwise LQG), Witsenhausen’s counterexample is one of the long-standing open problems in stochastic distributed control....
Se Yong Park, Pulkit Grover, Anant Sahai
COLT
2004
Springer
15 years 3 months ago
An Inequality for Nearly Log-Concave Distributions with Applications to Learning
Abstract— We prove that given a nearly log-concave distribution, in any partition of the space to two well separated sets, the measure of the points that do not belong to these s...
Constantine Caramanis, Shie Mannor