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» Quantum Lower Bounds by Polynomials
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FOCS
2008
IEEE
14 years 1 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
ALGORITHMICA
2005
108views more  ALGORITHMICA 2005»
13 years 7 months ago
How Fast Is the k-Means Method?
We present polynomial upper and lower bounds on the number of iterations performed by the k-means method (a.k.a. Lloyd's method) for k-means clustering. Our upper bounds are ...
Sariel Har-Peled, Bardia Sadri
FOCS
2008
IEEE
14 years 1 months ago
The Bayesian Learner is Optimal for Noisy Binary Search (and Pretty Good for Quantum as Well)
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: • Each comparison is erroneous with independent probability 1 − p. â€...
Michael Ben-Or, Avinatan Hassidim
CIE
2010
Springer
14 years 6 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
JCT
2008
100views more  JCT 2008»
13 years 7 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin