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» Some Lower Bounds for the Complexity of Continuation Methods
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FOCS
2006
IEEE
14 years 1 months ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
IPL
2011
94views more  IPL 2011»
12 years 10 months ago
Lower bounds for context-free grammars
Ellul, Krawetz, Shallit and Wang prove an exponential lower bound on the size of any context-free grammar generating the language of all permutations over some alphabet. We genera...
Yuval Filmus
ICDM
2006
IEEE
89views Data Mining» more  ICDM 2006»
14 years 1 months ago
On the Lower Bound of Local Optimums in K-Means Algorithm
The k-means algorithm is a popular clustering method used in many different fields of computer science, such as data mining, machine learning and information retrieval. However, ...
Zhenjie Zhang, Bing Tian Dai, Anthony K. H. Tung
SIAMCOMP
2010
97views more  SIAMCOMP 2010»
13 years 2 months ago
Lower Bounds for Randomized Consensus under a Weak Adversary
This paper studies the inherent trade-off between termination probability and total step complexity of randomized consensus algorithms. It shows that for every integer k, the prob...
Hagit Attiya, Keren Censor-Hillel
FOCS
1994
IEEE
13 years 11 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle