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» Some Lower Bounds for the Complexity of Continuation Methods
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STOC
2009
ACM
167views Algorithms» more  STOC 2009»
14 years 9 months ago
On the complexity of communication complexity
We consider the following question: given a two-argument boolean function f, represented as an N ? N binary matrix, how hard is to determine the (deterministic) communication comp...
Eyal Kushilevitz, Enav Weinreb
VLDB
2007
ACM
130views Database» more  VLDB 2007»
14 years 8 months ago
A Simple and Efficient Estimation Method for Stream Expression Cardinalities
Estimating the cardinality (i.e. number of distinct elements) of an arbitrary set expression defined over multiple distributed streams is one of the most fundamental queries of in...
Aiyou Chen, Jin Cao, Tian Bu
COMPGEOM
2000
ACM
14 years 24 days ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov
COMPGEOM
2009
ACM
14 years 1 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
IEICET
2006
76views more  IEICET 2006»
13 years 8 months ago
Relationship among Complexities of Individual Sequences over Countable Alphabet
This paper investigates some relations among four complexities of sequence over countably infinite alphabet, and shows that two kinds of empirical entropies and the self-entropy r...
Shigeaki Kuzuoka, Tomohiko Uyematsu